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example of a math essay

Mathematics Essay Examples

example of a math essay

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example of a math essay

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Essays About Math: Top 10 Examples and Writing Prompts 

Love it or hate it, an understanding of math is said to be crucial to success. So, if you are writing essays about math, read our top essay examples.  

Mathematics is the study of numbers, shapes, and space using reason and usually a special system of symbols and rules for organizing them . It can be used for a variety of purposes, from calculating a business’s profit to estimating the mass of a black hole. However, it can be considered “controversial” to an extent.

Most students adore math or regard it as their least favorite. No other core subject has the same infamy as math for generating passionate reactions both for and against it. It has applications in every field, whether basic operations or complex calculus problems. Knowing the basics of math is necessary to do any work properly. 

If you are writing essays about Math, we have compiled some essay examples for you to get started. 

1. Mathematics: Problem Solving and Ideal Math Classroom by Darlene Gregory 

“The trait of the teacher that is being strict is we know that will really help the students to change. But it will give a stress and pressure to students and that is one of the causes why students begin to dislike math. As a student I want a teacher that is not so much strict and giving considerations to his students. A teacher that is not giving loads of things to do and must know how to understand the reasons of his students.”

Gregory discusses the reasons for most students’ hatred of math and how teachers handle the subject in class. She says that math teachers do not explain the topics well, give too much work, and demand nothing less than perfection. To her, the ideal math class would involve teachers being more considerate and giving less work. 

You might also be interested in our ordinal number explainer.

2. Math Essay by Prasanna

“Math is complicated to learn, and one needs to focus and concentrate more. Math is logical sometimes, and the logic needs to be derived out. Maths make our life easier and more straightforward. Math is considered to be challenging because it consists of many formulas that have to be learned, and many symbols and each symbol generally has its significance.”

In her essay, Prasanna gives readers a basic idea of what math is and its importance. She additionally lists down some of the many uses of mathematics in different career paths, namely managing finances, cooking, home modeling and construction, and traveling. Math may seem “useless” and “annoying” to many, but the essay gives readers a clear message: we need math to succeed. 

3. Short essay on the importance of Mathematics by Jay Prakash

“In this modern age of Science and Technology, emphasis is given on Science such as Physics, Chemistry, Biology, Medicine and Engineering. Mathematics, which is a Science by any criterion, also is an efficient and necessary tool being employed by all these Sciences. As a matter of fact, all these Sciences progress only with the aid of Mathematics. So it is aptly remarked, ‘Mathematics is a Science of all Sciences and art of all arts.’”

As its title suggests, Prakash’s essay briefly explains why math is vital to human nature. As the world continues to advance and modernize, society emphasizes sciences such as medicine, chemistry, and physics. All sciences employ math; it cannot be studied without math. It also helps us better our reasoning skills and maximizes the human mind. It is not only necessary but beneficial to our everyday lives. 

4.   Math Anxiety by Elias Wong

“Math anxiety affects different not only students but also people in different ways. It’s important to be familiar with the thoughts you have about yourself and the situation when you encounter math. If you are aware of unrealistic or irrational thoughts you can work to replace those thoughts with more positive and realistic ones.”

Wong writes about the phenomenon known as “math anxiety.” This term is used to describe many people’s hatred or fear of math- they feel that they are incapable of doing it. This anxiety is caused mainly by students’ negative experiences in math class, which makes them believe they cannot do well. Wong explains that some people have brains geared towards math and others do not, but this should not stop people from trying to overcome their math anxiety. Through review and practice of basic mathematical skills, students can overcome them and even excel at math. 

5. Why Math Isn’t as Useless as We Think by Murtaza Ali

“We see that math is not an obscure subject reserved for some pretentious intellectual nobility. Though we may not be aware of it, mathematics is embedded into many different aspects of our lives and our world — and by understanding it deeply, we may just gain a greater understanding of ourselves.”

Similar to some of the previous essays, Ali’s essay explains the importance of math. Interestingly, he tells a story of the life of a person name Kyle. He goes through the typical stages of life and enjoys typical human hobbies, including Rubik’s cube solving. Throughout this “Kyle’s” entire life, he performed the role of a mathematician in various ways. Ali explains that math is much more prevalent in our lives than we think, and by understanding it, we can better understand ourselves. 

Writing Prompts on Essays about Math

1. mathematics – do you love or hate it.

Math is a controversial subject that many people either passionately adore or despise. In this essay, reflect on your feelings towards math, and state your position on the topic. Then, give insights and reasons as to why you feel this way. Perhaps this subject comes easily to you, or perhaps it’s a subject that you find pretty challenging. For an insightful and compelling essay, you can include personal anecdotes to relate to your argument. 

2. Why Do Many People Despise Math?

Essays about Math: Why do many people despise math?

It is well-known that many people despise math. In this essay, discuss why so many people do not enjoy maths and struggle with this subject in school. For a compelling essay, gather interview data and statistics to support your arguments. You could include different sections correlating to why people do not enjoy this subject.

3. How Does Math Prepare You For The Future?

In this essay, begin by reading articles and essays about the importance of studying math. Then, write about the different ways that having proficient math skills can help you later in life. Next, use real-life examples of where maths is necessary, such as banking, shopping, planning holidays, and more! For an engaging essay, use some anecdotes from your experiences of using math in your daily life.

4. Is Mathematics An Essential Skill?

Many people have said that math is essential for the future and that you shouldn’t take a math class for granted. However, many also say that only a basic understanding of math is essential; the rest depends on one’s career. Is it essential to learn calculus and trigonometry? Choose your position and back up your claim with evidence. 

5. Mathematics In The Modern World

Prasanna’s essay lists down just a few applications math has in our daily lives. For this essay, you can choose any activity, whether running, painting, or playing video games, and explain how math is used there. Then, write about mathematical concepts related to your chosen activity and explain how they are used. Finally, be sure to link it back to the importance of math, as this is essentially the topic around which your essay is based. 

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example of a math essay

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Home — Essay Samples — Science — Math — Mathematics in Everyday Life

example of a math essay

Essays on Mathematics in Everyday Life

Mathematics in everyday life: most vital discipline, mathematics is said to be the hardest subject of all, the natural existence of math and its role in our life, application of mathematics in different fields, golden ration, what math means for me, the importance of statistics in modern world, application of mathematics in the study of economy, the reasons why math is important in everyday life, calculus in real life, the benefits and importance of statistics in daily life, math in pharmaceutical industry, difference between descriptive and inferential statistics, the set of complex numbers, algebra and its credibility: proving it undeniably essential in several circumstances, math can predict how cancer cells evolve, why psychology majors study statistics, a short take a gander at islam's commitment to arithmetic, a class experiment: an examination of the methods and apparatus used to teach math, my passion to study accounting and mathematics, feeling stressed about your essay.

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You may find yourself wondering what use we have for some of the knowledge we obtain from math class in school. It is sometimes difficult for students to appreciate the importance of Mathematics. They often find the subject boring and hard to understand. With this project we will hopefully help our students realize that Mathematics is not just a subject on their time-table but a tool they use in their everyday life. “Mathematics is one of the first things you learn in life.

Even as a baby you learn to count.

Starting from that tiny age you will start to learn how to use building blocks how to count and then move on to drawing objects and figures. Through the years, and probably through the centuries, teachers have struggled to make math meaningful by providing students with problems and examples demonstrating its applications in everyday life. Now, however, technology makes it possible for students to experience the value of math in daily life, instead of just reading about it.

Prof. Maelyn

“ She proved great detail and knowledge on the assignment and understood instructions without hesistation. ”

Math is everywhere and yet, we may not recognize it because it doesn’t look like the math we did in school.

Math in the world around us sometimes seems invisible. But math is present in our world all the time–in the workplace, in our homes, and in life in general. When you buy a car, follow a recipe, or decorate your home, you’re using math principles. This presentation also, is prepared using the principles of math. Math applies to daily life, with sections on gambling odds, buying and leasing cars, population growth, decorating, and cooking.

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Most sections include hands-on activities. Formulas are a part of our lives.

Whether we drive a car and need to calculate the distance, or need to work out the volume in a milk container, algebraic formulas are used every day without you even realizing it. Simply put, mathematics is about relationships. Mathematicians have developed a language of precise relationships, illustrated through their formulas and equations. We live in a world where so far, as we have observed, everything is related and everything is experienced as different. We can learn about relationships in our world by looking at mathematical relationships that seem to match the situation being explored.

For instance there is a relationship between distance traveled, time of travel, and speed of travel. Mathematics provides a relatively simple equation: Distance traveled = average speed multiplied by time of travel In simpler mathematical terms, d = s x t Math involves data analysis, number relationships and graphing, patterns and functions, statistics, and measurement. People who use math in their work, it doesn’t occur that often that you’d need to calculate 7 x 7 x 7 x 7 or 0. 1 x 0. 1 x 0. 1 x 0. 1 x 0. 1 or other such calculations.

One example of how math do kind of connect with our everyday lives: when we speak about square feet, square meters, square inches, square miles, square kilometers or any other area units, or when we speak about cubic feet, cubic meters, cubic centimeters or any other such volume units. If you talk about SQUARE shaped areas, for example if you say “My room is twelve by twelve square”, you’re meaning your room is 12 feet x 12 feet, or 122 square feet. I believe one reason that mathematics is not more generally applied has to do with a tendency to ‘think’ of mathematics only in terms of numbers, precision, quantification, and so on.

We forget that mathematics is also about relationships, relatedness, relationships between relationships, interconnections, dependency (functions), changing relationships (calculus), factors that constitute relationships (variables), structure (order, relationships), asymmetric relationships (order), (graphical, numerical, and other representations (mapping), increase and decrease (addition, subtraction , multiplication, division, etc. ) and so on. The notion of a “function” is another mathematical tool we can apply to our everyday situations.

Function in mathematics has to do with “relationships between variables – how a dependent variable changes when related variables change. In a simple equation y=3x, if we change the value of x, then y changes. Y is called the dependent variable, and x the independent variable. In other words the value of y depends on the value we give to x. And in this equation, we can give x any value we choose. In our everyday living, we do many things that are related to other things – although not as precisely as in mathematics – and we give values, assign meanings, and so on. Our whole living involves relationships.

Our successes are a function of our efforts. The way others treat us is a function of how we behave towards them. Meanings, values, significance, understanding, etc. , are functions of ‘time’ – more specifically information available at a ‘time’. In a world where as far as we know everything is related, we can learn a lot about our everyday relationships by studying the approaches of a system that deals specifically with relationships. Variables and functions are only two examples of a vast number of other mathematics approaches we can apply to better understanding our everyday relationships.

Math applies to daily life, with sections on gambling odds, buying and leasing cars, population growth, decorating, and cooking. Most sections include hands-on activities. One of the most complete and self-sufficient math units on the Web is Project Sky Math: Making Mathematical Connections — Using the Science and Language of Patterns to Explore the Weather. They study the history of weather prediction, develop symbol sets, prepare graphs, predict changes, solve problems, and discover rules. General semantics involves applying the methods of science and mathematics to our everyday living.

For instance, if we ‘think’ of things – anything – in terms of the “variable”, we will come to realize that like the mathematical variable that is sometimes a higher value and sometimes a lower value, we should expect things and situations to change. Sometimes this change will occur in the way we like; other times not. Sometimes more than we expect, sometimes less. Sometimes we will observe no significant change. We can expect our moods and ‘feelings’ to vary. ‘Thinking’ in terms of the variable better prepares us to anticipate and manage changes in our lives.

This could reduce a great deal of stress in our lives – stress related to our forgetting that thing-processes are not constants. Family, partners, friends, work situations, health, etc. , won’t stay the way we found them or the way we expect them to go. ‘Thinking’ in terms of the variable, we would expect variations in our lives, and situations to vary related to different ‘time’, ‘places’, contexts, and so on. It is important to keep in ‘mind’ that with regards to our everyday relationships, unlike mathematical equations, precision is not the important factor-variable here.

Important factors involve recognizing relationships, interconnections, and “interdependencies”. An important factor is to be aware that we assign our own individual values to what we see, hear, read, and so on. We could avoid, or better manage many conflicts, by remembering variables and functions. There are lots of real uses of mathematics in our life. All the mathematics terms base on counting. Today our all businesses base on counting. There is no concept of business without mathematics. Before the mathematics rules people use barter system. They give their goods to others and take the goods from other people.

But this system cannot continue longer when need of humans increased day by day. Now you can think that counting has vital role in our daily life, just imagine if there were no mathematics at all, how it would be possible for us to count days, months and years. There is a cost for everything that we may use or purchase from markets so what’s a cost? What are utility bills? What’s the ticket price? These are all applications of mathematics. We cannot deny the importance of mathematics in our daily life. When we got to shop to purchase something we need mathematics. When someone comes to our shop to purchase something we need calculations.

There are many uses of mathematics in real life most likely in jobs like accounting, banking , store manager or just working at a simple fast food store. These are very simple applications of mathematics. Mathematics is at the core of all the communication technologies, it’s used in accounting, finance etc in short we are using mathematics in some form or another everywhere in our daily lives. But the most important use of mathematics in our technologies cannot be contradicted. Our most of the system base on computers and all the computer technology are stands on mathematical rules.

All computers work on binary code, code of zero and one. So we cannot deny the importance of mathematics in real life. Everyday life would be quite difficult if you had no knowledge of math. To know what’s the time, the most precious thing. On a basic level you need to able to count your money, multiply, subtract and divide. You need knowledge of math if you want to work out how much material to buy for a job. More advanced mathematics is essential if you take up any kind of technical career such as engineering. Working on algebra and geometry also helps with reasoning skills and assists later in life with technical problem solving.

Living your day to day life without maths would be extremely difficult. Even if you were a nomad in the desert you would want to count your goats, wouldn’t you? The key to opportunity These are the years of small beginnings until the day comes that you have to be able to do something as intricate as algebra. Math is the key that will unlock the door before you. Having the ability to do algebra will help you excel into the field that you want to specialize in. We live in a world where only the best succeed. Having the ability and knowledge to do algebra will determine whether you will take the short cut or the detour in the road of life.

Prerequisite for advanced training Most employers expect their employees to be able to do the fundamentals of algebra. If you want to do any advanced training you will have to be able to be fluent in the concept of letters and symbols used to represent quantities. Science Moreover, it is also believed that ‘Mathematics is the mother of all sciences’. This also shows us that all the sciences that are evolved have a sound foundation in mathematics, if we go further in debate it would be justified to say that the blessings of all these modern sciences and technologies are only possible with mathematics.

Mathematics is used as a problem solver in every field of science. Mathematics is playing a very important role in our daily lives. In fact mathematics is involved directly or indirectly wherever we go and every thing that we may use. When doing any form of science, whether just a project or a lifetime career choice, you will have to be able to do and understand how to use and apply the concepts of math. Analysis When it comes to analyzing anything, whether the cost, price or profit of a business you will need to be able to do math.

Margins need to be set and calculations need to be made to do strategic planning and analyzing is the way to do it. Data entry What about the entering of any data. Your use of algebraic expressions and the use of equations will be like a corner stone when working with data entry. When working on the computer with spreadsheets you will need algebraic skills to enter, design and plan. Decision making Decisions like which cell phone provider gives the best contracts to deciding what type of vehicle to buy, you will use algebra to decide which one is the best one.

By drawing up a graph and weighing the best option you will get the best value for your money. Interest Rates How much can you earn on an annual basis with the correct interest rate. How will you know which company gives the best if you can’t work out the graphs and understand the percentages. In today’s life a good investment is imperative. Writing of assignments When writing any assignments the use of graphs, data and math will validate your statements and make it appear more professional. Professionalism is of the essence if you want to move ahead and be taken seriously.

Math is basically about solving problems and calculating different things. So if you are good in math, you are good at solving problems and calculating things first hand. Can you see the importance of algebra? Your day can be made a lot easier with planning. In financial decisions this can save you a lot of finances or maybe get you the best price available. It all comes down to planning and using the knowledge and algebraic skills you have to benefit your own life. Use the key you have and make your life a lot smoother.

Mathematics is very important for life since it helps us to quantify all the visible and invisible things with which we are dealing in daily life. It is human nature that they do not have complete confidence in the subjective or relative things, in the modern day of today the objective things are preferred and trusted more than the subjective things. Mathematics helps us to have an objective view of the different things we are dealing with. It helps us in making calculations about the things which are not physically developed like for buildings before construction. Living a life unknowing ‘Maths’ would be living in random oblivion.

Mathematics is primarily used for the purpose of scientific calculation of figures and objects. In real life the use of Mathematics can be applicable to every aspect, field, profession and subject etc. In IT field, in Statistics, in Accounts, in Algebra, in Geometry, for instance, Mathematics is used for calculating, multiplying, subtracting, division, differentiating, manipulating and managing the data in desired form. In other professions Mathematics can merely be used for the calculation of currency, recording the profits and loss. In ordinary life Mathematics can be used for the calculation of any specific or general sort.

Concisely it can be said that Mathematics can be used for the authentic and scientific variation between and calculation of numbers, amounts, quantities etc; measurements of the frequencies of light and sound, of distance. Maths is all around us. It is present in different forms; it is very important that we take note of it. Things are measured or accurate due to maths. Mathematics has a prominent role to play in our daily life. We even didn’t realize that maths is involves in every sort of activities. Whenever we pick up the phone, manage the money, travel to some other place, unintentionally in all these things maths is involved.

Another very simple application is calendar year. How we know that today is Tuesday? It was Thursday on May 1, 2012? It’s actually mathematics that gives/provides us all this information. Mathematics do play a big part in our daily lives. Mathematical functions like addition, subtraction, multiplication, division and so on are used in our daily activities. From poor to rich , all have to some how use mathematics in their real lives. Consider a housewife, who has to run her house in the given budget. She divides money according to her needs and estimates about the expenses and then spends it according her range.

From the advent of civilization, man learn to count using stones and beads. In the earliest civilization, barter-system was used. Now-a-days, all day to day transactions in a multi-national or national companies involve mathematical operations . The application of maths is seen every moment, right from the moment we wake up from bed in the morning till the moment we again go back to bed at night. As soon as we wake up, we first of all give a big yawn-that makes us think for how long we have yawned? –3 to 5 seconds? Here maths comes! Again when we look at the clock, we realise how late we have got up! –8:30 a. m!

Here the part called Time of mathematics is put to focus. Even when we brush our teeth, we should know how much amount of toothpaste we must use–it’s written on the tubes that children below the age of 6 years should use only a pea-sized amount of it. Again, we must keep a track of how much time we have to take to brush our teeth. Then comes the time of studying.. we keep a regular routine of how long we must study a particular subject and i often hear my mom saying me. “You must keep a little extra time for Maths and Science.. “Then comes bathing—we take a certain amount of water which we can count in litres.

Now if i have to go on saying for the whole day about the use of maths in real life, i would not be able to complete it in a day! The list is endless. Mathematics is very important for life since it helps us to quantify all the visible and invisible things with which we are dealing in daily life. It is human nature that they do not have complete confidence in the subjective or relative things, in the modern day of today the objective things are preferred and trusted more than the subjective things. Mathematics helps us to have an objective view of the different things we are dealing with.

It helps us in making calculations about the things which are not physically developed like for buildings before construction. We do calculations and ensure if their design is safe or not, similarly mathematics helps us to plan things for future either is any production environment for products or services. It helps us to have an idea that how much earning or spending has been done and would it be beneficial to do a certain activity or not. In today’s world mathematics is being applied everywhere like in the economy of a country, construction of buildings, marking and evaluation of persons.

It would be appropriate to say that mathem atics has helped a lot in achieving the fast speed life with all its comforts and delights If we are quick at mental arithmetic, it will help you a lot in saving hundreds of pounds or dollars in the supermarket. And if you have knowledge of statistics it will help you see through the baloney (non sense, lies) in television adverts or newspapers. You can also understand different kinds of information about the football or cricket team. Even simple maths equations are just around us, like spherical shapes of soap bubbles, ripples on the surface of water.

Maths help engineer in making different shapes with geometrical shape the structure of the building was not possible. The beauty of maths is not only around us but a strong know how of maths help us in every day life too. Just start looking around you and you will find that how maths is help full to you in your life We do calculations and ensure if their design is safe or not, similarly mathematics helps us to plan things for future either is any production environment for products or services. It helps us to have an idea that how much earning or spending has been done and would it be beneficial to do a certain activity or not.

In today’s world mathematics is being applied everywhere like in the economy of a country, construction of buildings, marking and evaluation of persons. It would be appropriate to say that mathematics has helped a lot in achieving the fast speed life with all its comforts and delights. Without math, one would not be able to function in the REAL world. We use math to purchase things we want, we use math to measure, tell time and so on. We all need the basics but having a more advanced knowledge in math such as geometry, algebra and metric system always helps. As they say knowledge is ‘priceless. Without math, one would not be able to function in the real world.

We use math to purchase things we want, we use math to measure, tell time and so on. We all need the basics but having a more advanced knowledge in math such as geometry, algebra and metric system always helps. As they say knowledge is ‘priceless. ‘ Without math, one would not be able to function in the real world. We use math to purchase things we want, we use math to measure, tell time and so on. We all need the basics but having a more advanced knowledge in math such as geometry, algebra and metric system always helps. As they say knowledge is ‘priceless. ‘

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Mathematics of Digital Photography

Mathematics in Digital Photography The advances in both digital photography and computing have allowed more detailed and complex images to be shown on more realistic media than was ever previously possible. Through the use of more specialized equipment and digital imaging techniques the resulting photos of even the most novice user today can rival those of professionals from years before. This level of photographic precision could never have been achieved were it not for the tremendous advantages made in computing that allow both the hardware and software involved in digital photography to function at extremely high levels. Both hardware and software made today are capable of performing the necessary calculations in a fraction of a second, making focusing and editing pictures easier than ever before. The incorporation of mathematics directly into the digital photography process has been the primary impetus for the explosion of high-quality digital images available almost anywhere…

Higham, N. (2007). The mathematics of digital photography. Retrieved from:

  http://www.maths.manchester.ac.uk/~higham/talks/digphot.pdf  .

Hoggar, S.G. (2006). Mathematics of digital images. Cambridge, UK: Cambridge

Image Compression: How Math Led to the JPEG2000 Standard. (2011). Society for Industrial

Mathematics Education the Objective of

alacheff (1987) described four levels of justification, which are those as follows: (1) Native empiricism; 2) Crucial experiment; 3) Generic example; and 4) Thought experiment. (Taflin, nd) Naive empiricism is stated to be "an assertion based on a small number of cases." (Taflin, nd) Crucial experiment is stated to be "an assertion based on a particular case, but the case was used as an example of a class of objects." (Taflin, nd) the generic example is stated to be "...an assertion based on a particular case, but the case was used as an example of a class of objects." (Taflin, nd) Thought experiment is "an assertion detached from particular examples and begins to move toward conceptual proofs." (Taflin, nd) The work entitled: "Adding it Up: Helping Children Learn Mathematics" states that proficiency in instruction of mathematics is "related to effectiveness: consistently helping students learn worthwhile mathematical content. It also entails…

Bibliography

Jones, Tammy (2000) Instructional Approaches to Teaching Problem Solving in Mathematics: Integrating Theories of Learning and Technology. Online available at http://www.mindymac.com/educ6100projects/TjonesProblem6100.htm

Adding it Up: Helping Children Learn Mathematics (Free Executive Summary)

  http://www.nap.edu/catalog/9822.html  

Barr, Leslie (2003) it's Elementary: Introducing Algebraic Thinking Before High School. SEDL Newsletter - Mathematics & Science. Volume XV Number 1, December 2003.

Mathematics From Conch Shells to

Islamic art not only demonstrates the symbolic significance of geometric forms and their psychological, social, religious, and aesthetic functions. In addition to these purposes, Islamic art also demonstrates symmetry. Symmetry's appeal is well-known: babies tend to favor faces with symmetrical features over those with lop-sided noses or askew eyes. Although absolute symmetry is by no means a prerequisite for beauty, symmetry is usually perceived with pleasure. The Spirograph forms, explicated by Karin Deck, are sublimely symmetrical. Spirograph hypotrochoids and epitrocoids illustrate the value of symmetry in aesthetics and they also demonstrate the prevalence of mathematics in visual art. While Spirograph patterns may not normally be considered fine art, they are nevertheless pleasing to the eye as well as the mind. Their symmetry no doubt contributes to their aesthetic appeal but Spirograph trochoids, like Islamic friezes, draw order out of chaos and reveal the prevalence of patterns throughout the universe. Moreover,…

Abas, S.J. And AS Salman: Symmetries of Islamic Geometrical Patterns. Symmetry in Ethnomathematics 12(1-2). Retrieved July 29, 2006 at   http://www.ethnomath.org/resources/abas2001.pdf  

Deck, K. Spirograph Math. Humanistic Mathematics Journal March 1999, Vol.19, p13-17. Retrieved July 29, 2006 at   http://web.stcloudstate.edu/szkeith/index11.html  

Patterns, Order, and Chaos."

Mathematics Concepts in Profession Mathematics Concepts in

Mathematics Concepts in Profession Mathematics Concepts in the Teaching Profession Mathematical concepts in professions My Profession and Applicable Math Concepts Mathematics is a branch of knowledge dealing with scientific notions of logical qualitative and quantitative arrangements. It extensively covers different aspects as well as having several subdivisions. It is a tool specially designed to handle and implement relative concepts, regardless of the kind of situational problem presented. Alongside the concepts, mathematics uses invented formulas to help in solving the computations systematically. These concepts keep up a correspondence to the quantitative association to the computations they carry out. Many career opportunities in life apply knowledge of mathematics and the subsequent concepts of the subject. All fields are dependable of conceptual facts and formulas taught in the math course. From critical analysis of career opportunities globally, and through applicable knowledge, I have settled my professional interests in becoming a mathematics instructor. Through…

Ben-Zvi, D and Garfield, J. (2008). Introducing the Emerging Disciplines of Statistics Education. School Science & Mathematics. Vol 108, Issue 8. Pg 355-361.

Liu, C., Chang, J and Yang, A. (2011). Information Computing and Applications: Second International Conference, ICICA 2011, Qinhuangdao, China, October 28-31, 2011. Proceedings, Part 1. New York: Springer.

Mathematics A Spreadsheet Data Analysis B State

Mathematics a) Spreadsheet Data Analysis b) State hypotheses: Ho: Type of soft drink and resident are independent. (null hypothesis) Ha: Type of soft drink and resident are not independent. (alternate hypothesis) c) Conduct chi-square test of independence at 0.05 significance level: = 0.05 d) Calculate degrees of freedom: Number of rows = 2, Number of columns = 2 Degrees of freedom (df) = (Number of rows - 1) x (Number of columns - 1) = (2-1)(2-1) = 1 e) Calculate the expected frequencies from actual data: f) Calculate the chi-square statistic using both actual and expected frequency tables: In excel, the cursor was placed in cell M17 and the formula of chi test typed as: =CHITEST (actual frequency range, expected frequency range) =CHITEST (L4:M5, L13:M14), as shown in the formula bar above The result gives, the calculated chi-square probability, p = 1.2203 x 10-10 g) Look up the Chi-Square value,…

Mathematics Professional Mathematical Societies the

SIAM's mission is to build cooperation between mathematics and the worlds of science and technology through its publications, research, and community. Over the last 50 years SIAM's goals have remained constant: • They want to advance the application of mathematics and computational science to engineering, industry, science, and society. • To was to promote research that will lead to effective new mathematical and computational methods and techniques for science, engineering, industry, and society. • They want to provide media for the exchange of information and ideas among mathematicians, engineers, and scientists. The applied mathematics and computational sciences have become essential tools in the development of advancements in science and technology. Ground-breaking mathematical and computational techniques have become prevalent in areas such as the biological sciences, information technology, climatology, combustion and emission control, and finance and investment. It is through its publications, conferences, and community, that Society of Industrial Applied Mathematics…

"About the AMS." (2009). Retrieved April 22, 2009, from American Mathematical Society Web

site:   http://www.ams.org/ams/about.html  

"About Siam." (2009). Retrieved April 22, 2009, from Society for Industrial and Applied

Mathematics Web site: http://www.siam.org/about/pdf/brochure09.pdf

Mathematics Instruction

Mathematics Teaching Learners Studying Basic Mathematics To Enable Helping Their Children With Their Education The work of Jackson and Ginsburg (2008) reports on a series of algebra classes involving a group of African-American mother and elementary-aged children, who are low income and who "had limited and negative formal experiences with algebra." (p. 10) The women in the study who arrived to the algebra classes are reported to have had "well-informed view of what algebra was -- a disconnected body of knowledge that they did not understand -- and corresponding views of who could 'do' algebra." (Jackson and Ginsburg, 2008, p. 11) The study resulted in the women's views of who could 'do' algebra being changed "through genuine, intellectual inquiry into the mathematics of algebra." (Jackson and Ginsburg, 2008, p. 11) It is reported that questioning "is recognized as a critical instructional tool in the teaching of mathematics for understanding." (Jackson…

Allexsaht-Snider, M. And Marshall, M. (2008) Linking Community, Families and School: Opportunities for the Mathematics Education of Children from Excluded Communities. ALM International Journal Volume 3(2a), pp 8-9. Retrieved from:   http://www.academia.edu/6750909/Adults_Learning_Mathematics_An_International_Journal  

Askew M., Brown M., Rhodes V., Johnson D. And William D. (1997) Effective Teachers of Numeracy, Final Report London Kings College

Askew M., Brown., V., Johnson D. And William D. (1997) Effective teachers of numeracy, Final Report London Kings College.

Bandura, A. (nd) Social Learning Theory. University of Pennsylvania. Retrieved from: faculty.mwsu.edu/psychology/paul.guthrie/powerpoint/bandura2.ppt

Mathematics in the Arts and Nature

Mathematics and Art Mathematics The application that I researched and found of mathematics and art is Data Visualization, which is closely related to Infographics. On a very simple level, data visualizations are artistic, aesthetic representations of data. The ways in which the data visualization can be "drawn" or created involves different kinds of mathematics, including vectors, fractals, algorithms, and statistics. Data visualization is a fairly new field, indigenous to the 21st century. There have been other ways to represent data graphically, but not with the detail, precision, and beauty offered by data visualization. Presentation and aesthetics are very important in the consideration of data visualization. I found this application of mathematics and art particularly compelling because its existence seems to fly in the face of the long held stereotype that there are strict boundaries between science and art. Data visualization seems to be the artistic version or expression of science…

References:

Meersschaert, K. (2012). Does Math + Art = Teachable Data Visualization? Columbia University, Web, Available from:   http://edlab.tc.columbia.edu/index.php?q=node/8057  . 2013 June 14.

Mathematics Textbooks Technology Used in Mathematics Textbooks

Mathematics Textbooks Technology used in Mathematics Textbooks Mathematics probably frustrates more students than any other subject in their course load. It seems that a logical, left brain is something that must be inborn and many students are not gifted with that natural ability. This means that there need to be some simple methods by which every student can be made to understand mathematical concepts. While many different teaching methods have been attempted with varying levels of success, none have been completely successful. However, with the advent of technology, this task is made simpler for the math teacher. Technology allows the student to work the problem successfully while helping the individual understand the application of the problems. Technology can be used via a text itself, or a teacher can utilize a text which offers parallel instruction via a companion web site. The following report will discuss how technology is used by…

Math Archives (2010). Mathematics contests and competitions. Retrieved December 18, 2010 from   http://archives.math.utk.edu/contests/  

Rock, N.M. (2006). Seventh grade math is easy! So easy. Los Angeles: Team Rock Publishing.

Mathematics Room 8th Grade Junior

Teachers and students alike must have the ability and the opportunity to move freely about, especially in high traffic areas, so congestion does not build to a level that causes distraction or frustration, whether from students or from teachers. When teachers group desks in functional ways, according to activity, for example desks for high-activity or high traffic desks grouped separately from desks for test-taking, students are more likely to demonstrate superior behavior because their teachers (Brophy, 1983) can easily meet their instructional requirements (Marsh, 2004). The classroom arranged in a manner that reduces congestion produces an environment with more discipline, safety and respect, which is important especially among students at the 8th grade level and above, when students are more likely to demonstrate behaviors akin to their personality and interests. A mathematics classroom organized around function creates an environment that stimulates students to participate in learning, and concentrate on subject…

Brophy, J.E. (1983, Mar). Classroom organization and management. The Elementary

School Journal, 83(4): 264-285.

Marsh, C.J. (2004). Key concepts for understanding curriculum. New York: Routledge

Umich. (n.d.) ED 422: Teaching Science in the Secondary School. Retrieved July 11, 2007:

Mathematics in Gambling Casino Games

27% payoff. "He would begin with the $100 and get back $93.27 (theoretically) the first time he ran his money through the machine. If he continued to play until his $100 bankroll was gone, he would have put his money through the machine 71 times for a total of 1,967 plays on the machine" (7). The gambler's total wager (handle) would then be $1,475; however, the win (gambling revenue) for the casino would be $100, the amount of the player's original bankroll (Barker & Britz 2000). According to the International Gaming and agering Business (IGB, 1998, 5), a player could statistically generate a handle of $10,000 at a table game with a casino advantage of 1% before losing a bankroll of $100 (in Barker & Britz 7). This casino advantage is known as the "vigorish," which is discussed further below. Vigorish. John inn is credited with inventing the book, the…

Works Cited

Barker, Thomas and Marjie Britz. Jokers Wild: Legalized Gambling in the Twenty-First Century. Westport, CT: Praeger, 2000.

Casinos. (2004). Encyclopedia Britannica.com [premium service].

Coyle, Cynthia a. And Chamont Wang. (1993). Wanna Bet?: On Gambling Strategies That May or May Not Work in a Casino. The American Statistician, 47(2):108.

The Vigorish. (2002). Craps Gambling Casinos. Available: http://www.craps-gambling-casinos.com/the-Vigorish.htm.

Mathematics Grade 9 H S School

Students will present their findings to the class. 2. In groups, students will graph population growth and predict future trends using exponential functions (Ormond 2010). A data set is available at: http://serc.carleton.edu/files/quantskills/events/NAGT02/quantskillsworldpop.pdf. Students will discuss the political and environmental implications of their findings. 3. Students will perform an exercise using exponential functions graphing increases in atmospheric CO2 concentrations (Ormond 2010). A data set is available at: http://serc.carleton.edu/files/quantskills/events/NAGT02/co2moe2edit.pdf Students will discuss the political and environmental implications of their findings. Standard 3: 4. Students will be divided into groups, given problems of quadratic inequalities and 'race' to see what group can come up with the correct solutions the fastest. 5. Students will be asked to periodically write and graph homework problems on the board to 'teach' graphing to the rest of the class. 6. Students will be given examples of graphs or tables of values of functions and asked to identify what…

Exponential function. (2010). Purple Math Forums. Retrieved July 26, 2010 at   http://www.purplemath.com/modules/expofcns2.htm  

Mathematics benchmarks. (2010). UT Dana Center. Retrieved July 26, 2010 at   http://www.utdanacenter.org/k12mathbenchmarks/secondary/algebra.php  

McClain, Liz & Steve Rieves (2010). Teaching techniques to tackle some sticky topics in Algebra 2. Retrieved July 26, 2010 at nctm.mrrives.com/NCTM%20Piecewise%20PP.ppt

Ormond, Kathy (et al. 2010). Atmospheric CO2 concentration. Retrieved July 28, 2010.

Mathematics Curriculum Education One Aspect

The foundations of high stakes testing indicate that their intention is to formulate change that is traceable and transparent. Accountability is essential to outcomes but instruction must be aligned to the needs of students and educators and most importantly must be inclusive of the perceptions and perceived needs of real life classroom teachers. Tracing the effectiveness of high stakes reforms and reforms that would be considered the fall out of such is essential to the development of alignment between curriculum and test results. (Bolt 2003) These changes cannot under any circumstances be judged solely on the perceptions of administers, as has been shown by this work administrators give a great deal more positive assessment of reform, prior to the acceptance of such reform as positive by real world classroom teachers. This is especially true with regard to those students who are clearly already at a disadvantage in the system, a…

Parent involvement in instruction and classroom success must also be reiterated continually, during and after change implementation. Parents, just like teachers and students must be sold on the ideal of reform-based standards so they can ultimately assist students in achieving greater exam outcomes as well as real classroom outcomes. Continued assessment of parent involvement and improvement of such is essential to reform success.

Last but certainly not least student perception of assessment reform and instructional reform is also essential to success of assessment reform applications. Students must understand the stakes of assessments both for themselves and for their schools and districts and must give the assessments the proper credence in correlation with real instructional growth in the classroom. A whole perceptual study regarding students, at every level of proficiency, would constitute a completely different and informative assessment of how students perceive reform changes and how effective they believe them to have been for themselves or fellow students post high stakes testing reform.

Draft August 24, 2008

Mathematics in Special Education

In an open-ended study of 42 teachers decided to leave with the peer assistance being a contributing factor while in another research carried out with 99 teachers, only 4 said that the peer assistance was one of the decisive factors (Billingsley et al., 1993 & 1995). Some of the factors for the variation in these studies could be the way the teachers were asked these questions (like, open-ended polls vs. questionnaires), purpose to leave or the leaving conduct was calculated, as well as the huge trial dimension distinction of the two studies. Therefore, in light of the mentioned study conclusions, the educational institutions should treat peer assistance as a determining factor to augment preservation of the teachers as well as the school system. Support through Induction and Mentoring Special attention needs to be given to the upcoming teachers in this particular field, to give them confidence and a sense of…

Billingsley, B.S. (1993). Teacher retention and attrition in special and general education: A critical review of the literature. The Journal of Special Education, 27, 137-174.

Billingsley, B., Carlson, E., & Klein, S. (in press). The working conditions and induction support of early career special educators. Exceptional Children.

Billingsley, B.S., & Cross, L.H. (1992). Predictors of commitment, job satisfaction, and intent to stay in teaching: A comparison of general and special educators. The Journal of Special Education, 25, 453-471.

Billingsley, B., Pyecha, J., Smith-Davis, J., Murray, K., & Hendricks, M.B. (1995). Improving the retention of special education teachers: Final report (Prepared for Office of Special Education Programs, Office of Special Education and Rehabilitative Services, U.S. Department of Education, under Cooperative Agreement H023Q10001). (ERIC Document Reproduction Service No. ED379860)

Mathematics the Minnesota Multiphasic Personality

The nature of the instrument, with true and false answers and patterns that are readily identifiable, has prompted the development of books to supply interpretations of the results. The interpretations are given in the form of descriptive statements that tend to be true of clients whose scores yield certain profiles. When used by a skilled and experienced psychologist, the MMPI is a powerful instrument. The psychologist administering and interpreting the MMPI must pay attention to all relevant factors, including age, sex, education, social class, religious background, place of residence, and other historical data (Karp and Karp, 2009). The criterion groups for this test were selected from patients at the University of Minnesota hospitals (Minnesota Multiphasic Personality Inventory, n.d.). The MMPI has ten clinical scales and three validity scales in addition to many supplementary scales. It has been found to be difficult to consistently bias the MMPI because of the complexity…

Karp, Cheryl L. And Karp, Leonard. (2009). MMPI: Questions to Ask. Retrieved June 29, 2009,

from Web site:   http://www.falseallegations.com/mmpi-bw.htm  

Minnesota Multiphasic Personality Inventory. (n.d.). Retrieved June 29, 2009, from Web site:

http://www.cps.nova.edu/~cpphelp/MMPI.html

Mathematics Determine Whether the Lines Will Be

Mathematics Determine whether the lines will be perpendicular when graphed. For two lines to be perpendicular, the slope of one line must be the negative reciprocal of the slope of the other line. The slope can be determined by transforming the equation to its standard form of y = mx + b, where m = slope. Thus, 2y = 6 2y = 3x - 6 3/2x - 3, where m = 3/2 For the other line to be perpendicular, the slope of the equation for 2x + 3y = 6 MUST be m = -2/3. To check this, the equation can be transformed to its standard form: 3y = 6 3y = 6-2x y = 2-2/3x y = -2/3x + 2, where m = -2/3 Therefore, the lines of both equations will be perpendicular to each other when graphed. Alice's Restaurant has a total of 205 seats. The number of…

Mathematics Puzzles and Their Relevance to Life

Mathematics puzzles provide indispensable tools for learning. Since the ancients started to ponder the mysteries of the universe, mathematics has been the underpinning of philosophical, scientific, and creative thought. Moreover, a historical analysis of the evolution of mathematical thought shows that puzzles, riddles, and complex problems have consistently been the means by which successive generations have pondered mathematics principles and advanced understanding of numerical equations, patterns, and proofs. Mathematics puzzles remain relevant throughout time, which is why it could take hundreds of years to solve one puzzle. Puzzles also transcend language and culture, providing the only true universal human language other than perhaps art and music. For example, Archimedes' riddle about dividing the square was not solved until thousands of years later, just like the riddle of crossing the bridges of Konigsberg (Pitici, 2008). ). Mathematical puzzles have inspired people throughout time and space to think deeply about conundrums and…

Pickover, C. (2010). Ten of the greatest: Maths puzzles. The Daily Mail. Retrieved from:

  http://www.dailymail.co.uk/home/moslive/article-1284909/Ten-greatest-Maths-puzzles.html  

Pitici, M. (2008). Geometric Dissections. Cornell University. Retrieved from:

  http://www.math.cornell.edu/~mec/GeometricDissections/0.%20Front%20page.html

Mathematics A Critique of Two

gov.on.ca). These are the goals for learning that students need to master, according to Ontario; Gap Closing focuses specifically on them. However, there's very little room for innovation. Product and How Children Learn The product reflects the way that only certain children can learn mathematics. Some children truly can understand mathematical concepts by having them presented on a page and through repetition. Other children can readily learn and master mathematical concepts through the pictures and diagrams that Gap Closing relies so heavily on. However, certain children will not be able to thrive off of Gap Closing. They will still find the concepts confusing and unclear, and that the work involved is exactly that -- work. It's not fun and it's not enjoyable and it does nothing to increase their appreciation of math or decrease their fear of math. These children might need more collaborative or tactile learning. eferences Edu.gov.on.ca. (2005).…

Edu.gov.on.ca. (2005). The Ontario Curriculum: Mathematics. Retrieved from Edu.gov.on.ca:   http://www.edu.gov.on.ca/eng/curriculum/elementary/math18curr.pdf  

Edugains.ca. (n.d.). Gap Closing. Retrieved from Edugains.ca: http://www.edugains.ca/newsite/math2/gapclosingmain.html

GCISD. (2007). Developmental Characteristics of Third Graders. Retrieved from Glendale.k12.wi.us:   http://www.glendale.k12.wi.us/3_char.aspx  

Jumpmath.org. (n.d.). Educational Approach. Retrieved from Jumpmath.org:   http://jumpmath.org/cms/taxonomy/term/6

Mathematics Relationship Between Learning Styles

Leaning style pefeences ae the method in which, and the cicumstances unde which, leanes most competently and successfully ecognize, pocess, stoe, and ecall what they ae tying to lean. Knowing the students' leaning style pefeences can aide in the development of the most effective teaching appoaches. The gende-elated diffeences in math achievement have been attibuted to a numbe of vaiables, most notably, diffeential couse taking pattens and exposue to math, diffeent leaning styles, teache behavio and leaning envionment, paental attitudes and expectations, and socioeconomic status as well as othe backgound chaacteistics of students. One poblem that is not addessed in this eseach is the inability to isolate the effects of gende socialization fom obseved biological sex when obsevational data is used. One method by which the effects of envionment and socialization may be contolled fo involves the use of a popensity scoe, as developed by Rosenbaum and Rubin, fo gende.…

references among undergraduate physiology students. Advances in Physiology

Education, 31153-157. doi:10.1152/advan.00060.2006

Mathematics Education

Communicating Mathematics It is important for teachers and students to be engaged in communicating mathematics for higher understanding and the building of problem solving skills. Understanding mathematics means to define the measures of quality and quantity that connections have with new ideas and existing ideas. The greater understanding comes from the greater connections of network ideas. The goals of elementary teaching is to teach mathematics in meaningful and understanding ways to enhance problem solving skills and reasoning strategies based on real life. In doing so, students learn to visualize and communicate abstract ideas that creates opportunity for enrichment in reflective thinking. A problem solving approach to mathematics engages students in inquiry that helps them build and improve current knowledge (Asking Effective Questions, 2011). A teacher who questions effectively can help students to identify thinking processes, see connections between ideas, and build new understanding in solutions that make sense to them.…

Differentiating Mathematics Instruction. (2008, Sep). Capacity Building Series. Ontario, Ontario, Canada: The Literacy and Numeracy Secretariat.

Communications in the Mathematics Classroom. (2010, Sept). Capacity for Building Series. Ontario, Ontario, Canada: The Literacy and Numeracy Secretariat.

Asking Effective Questions. (2011, July). Capacity Building Series. Ontario, Ontario, Canada: Student Achievement Division.

Mathematics Teachers in the Classroom

nctm.org/publications/jrme.aspx?ekmensel=c580fa7b_116_412_btnlink)isa peer-reviewed journal of current research on what concepts work for students in the classroom and also allows for the submission of teacher manuscripts on relevant topics. he Journal of Online Mathematics and its Applications (http://mathdl.maa.org/mathDL/4/)includesdiscussion of how to teach math to students, such as the use of 'spinners' when teaching probability, to cite one example, and webcasts about 'best practices' in math education. Because the journal is web-based and makes use of wiki technology, it is both easy to access as well as engaging. Education Next, published by the Hoover Institution, provides a continuing overview of how American education, including math, measures up against America's international counterparts as well as compares different approaches to education throughout the nation (http://www.hoover.org/publications/ednext/).Itprovides examples of how math is taught in other countries, sobering assessment of America's state of math education, and a fairly blunt and opinionated view of what works and what does…

The University of Cornell (http://www.tc.cornell.edu/Services/Education/Gateways/Math_and_Science)providesa math and science gateway to link science and math educators K-12. Its aim is to facilitate information exchanges and enhance professional contacts, particularly the use of the Internet such as webquests and WebPages in the classroom.

The University of Chicago School Mathematics Project (UCSMP) (  http://social-sciences.uchicago.edu/ucsmp/index.html  ) providesresources for student evaluation and professional development, and even includes the ability to access translations of international materials from nations such as Russia. It also provides information about professional associations and journals, and is dedicated to the cause of mathematical improvement.

The University of Central Florida provides a Math Guide, with a variety of links to hands-on materials about math, including crafts (like making a looped Moebius strip), lesson plans, and professional development website. (http://www.useekufind.com/learningquest/tmath.htm).

Mathematics Major Mathematical Concepts One

To my observation, a math teacher now has the ability to put a personal stamp on his approach to curricular material, with evolving technologies such as a class website serving as a reflection of his own ideas regarding math instruction and his own emphases on relevant principles. By enabling teachers to bring creative ingenuity into the process, the internet is helping instructors and students to make closer connections, which in turn may motivate them to assimilate material and ideas more effectively. Most districts with the means and understanding of these benefits have not only actively promoted the incorporation of the internet into everyday instructional activities but have endowed school websites with the networked capacity to enable every teacher to utilize the infinite virtual space to the advantage of their students. I will personally make an effort to explore the innovative instructional possibilities and ways of accessing the personal interests of…

Works Cited:

Salend, S.J. (2005). Creating an environment that fosters acceptance and friendship. Creating Inclusive Classrooms. 5th edition. Pearson, Upper Saddle River, N.J.

Mathematics Instructions for Students With

Unlike quantitative studies which engage the use of statistics qualitative work places greater emphasis on the narrative and in this case on answering the research question. The researchers found that the majority of experts demonstrate that LD affects the understanding of concepts, and this impedes the comprehension of mathematics. They were also able to identify four approaches that produce better results in students with LD. The four approaches, systematic and explicit instruction, Self-instruction, peer tutoring and visual representation have been demonstrated to produce significant results in persons with LD (Steedly et al. 2008, p.3). This finding has multiple implications for the teaching community. If the teaching community engages these approaches in a systematic and comprehensive manner, it is very possible that more students will learn mathematics easier. To do this may require some retooling in many instances as the associated pedagogy may not be completely understood by present teachers. The…

Daniel, Y. (2005). The Textual Construction of High Needs for Funding Special Education in Ontario. Canadian Journal of Education / Revue canadienne de l'education, 28,(4):763-

Janus, M., Lefort, J, Cameron, R., & Kopechanski, L. (2007). Starting kindergarten: Transition issues for children with special needs. Canadian Journal of Education / Revue

canadienne de l'education, 30(3), 628-648.

Marshall, M.N. (1996). Sampling for qualitative research. Family Practice 13 (6): 522-525.

Mathematics Secondary School Experiences and

When the different levels of functionality were compared highly functioning individuals took 55% of the academic courses the difference between the groups was significant (p The finding demonstrated that the students took a number of diverse courses within the semester. The courses were taken within the two settings of general and special education. Students with mental retardation however were more likely to do courses in the special education arena rather than the general arena, this finding was significant. Moderate functioning students and students with low functioning were more likely…

Yu, J., Newman, L. & Wagner, M. (2009). Secondary School Experiences and Academic

Performance of Students With Mental Retardation U.S. Department of Education

Institute of Education Sciences National Center for Special Education Research

Kaplan a. (1963).The conduct of inquiry: Methodology for behavioral science. London: Harper

Real Life Uses for Mathematics and Puzzles

Mathematics underpins every area of human life. From the simplest counting procedures to advanced physics, mathematics becomes the means by which people understand, communicate with, and interact with the world. As Kramer (2015) puts it, "math can be found everywhere," (p. 1). Mathematics puzzles are learning exercises that help people prepare their cognitive abilities for solving real-life mathematics issues. Puzzles can be fun and enjoyable means by which to understand mathematical theorems in ways that reveal real-world applications. There are also many different types of mathematics puzzles, including those that are strictly numerical in nature, those that are logical in nature, and those that involve calculus or the use of formulas. Mathematics puzzles can prepare a person to think creatively and critically about any number of fields, such as architecture and music. One real world application of mathematics puzzles is in the field of games and gaming. Both traditional board…

Gardner, M. (n.d.). Wheels, life, and other mathematical amusements. New York: W.H. Freeman.

Kramer, M. (2015). Math is a tool to understand our world. HuffPost. May 22, 2015. Retrieved online:   http://www.huffingtonpost.com/matt-kramer/math-is-a-tool-to-underst_b_7355210.html

National Council of Teachers of Mathematics

Mathematics Instruction for Students With Disabilities, Grades 7-12 Fennell & National Council of Teachers of Mathematics, (2011, p. 164), quote Freudenthal that 'geometry with respect to children's education plays a role in how children grasp the space in which they operate'. It provides useful and practical knowledge that enables children to not only know and conquer this space, but also conquer and make it better to live in. More importantly, there is enhanced revelation and development of unsuspected strengths, such as drawing and manipulating forms in children with special needs when they learn geometric and special tasks (Fennell & National Council of Teachers of Mathematics, 2011, p. 164). It thus offers alternatives in which learners capitalize on, especially those with language and communication difficulties (Fennell & National Council of Teachers of Mathematics, 2011, p. 178). With respect to geometry, the pre-k-12 instructional programs enable learners to achieve various tasks. They…

Fennell, F. M., & National Council of Teachers of Mathematics. (2011). Achieving fluency: Special education and mathematics. Reston, VA: National Council of Teachers of Mathematics.

Analyzing Mathematics for Special Needs Children

Mathematics for Special Needs Children Solving Math Word Problems (For Ex: Teaching Students with Learning Disabilities Using Schema- ased Instruction) One of the most challenging things to learn for children with LD (Learning Disabilities) is basic math concepts and problem solving skills. This challenge can negatively affect their ability to solve new problems. However, improving a child's ability to solve problems is not an easy exercise. And this might be due to several reasons, such as problems with visual-spatial processing, strategy knowledge and use, language processes, vocabulary, background knowledge, memory and attention. Thus, it is important for policymakers to focus on addressing these problems when designing interventions. Several studies indicate that interventions / practices such as peer-assisted learning opportunities, visual representations, student thinkalouds, and systematic/explicit instruction can help improve learning outcomes for students with disabilities. SI (Schema- ased Instruction), an alternative to conventional instruction, incorporates many of the above-mentioned practices…

Golestaneh, S. M., Nejad, T. S., & Reishehri, A. P. (2014). The effect of schema based instruction on improving problem solving skill and visual memory of students with mathematics learning disabilities. International Journal of Review in Life Sciences, 18-23.

Jitendra, A. K. (2011). Meeting the Needs of Students with Learning Disabilities in Inclusive Mathematics Classrooms: The Role of Schema-Based Instruction on Mathematical Problem-Solving. Theory Into Practice, 12-19.

Lim, C. B. (2015). Implementing Schema-Based Instruction in the Elementary Classroom (Project). Honorable Mentions, 13.

Powell, S. R. (2011). Solving Word Problems using Schemas: A Review of the Literature. Learn Disabil Res Pract., 94-108. Retrieved from:   http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3105905/

Growth of Mathematics Hard and

For instance, classical mathematicians by definition rely on Plato's theory of forms as the underlying basis of their mathematical worldview. The Platonist assumes the existence of true, immutable, and universal forms and structures that the mathematician approaches through the language of numbers and equations. For instance, the classical mathematician holds to the Platonic belief in the expansion of pi; to approach the expansion of pi from any other perspective "would require a restructuring of all of mathematical analysis," (p. 414). The paradigm would have to change; a most likely candidate for the restructured mathematical analysis would be constructivism, which relies more exclusively on the number system. The very existence of varied paradigms in mathematics points to the essentially "soft" core underlying all mathematical pursuits. Finally, the growth of mathematics depends partly on the evolution of technology as well as the evolution of thinking. Paper and pencil has largely given way…

Learning Mathematics Acquisition of Numeracy Has Been

Learning Mathematics Acquisition of numeracy has been an issue that has attracted a lot or research .The research is mostly aimed at finding out the personal and social factors that affect the acquisition of numeracy as well as the impact the public or popular perceptions of mathematics on a learner. The paper will look at some of the social and personal factors that might have an impact of the acquisition of numeracy. It will also look at the popular perceptions that influence a learner when it comes to studying mathematics. Personal factors There are several personal factors that might affect an individual's acquisition of numeracy one of them is a parent's education level. Parents are role models when it comes to the academic achievement of a person. Acquisition of numeracy is particularly influenced by the beliefs that are held by an individual's parents regarding mathematics. If parents have negative attitude…

Azar, B. (2010).Gender + culture=gender gap. Retrieved April 29, 2013 from http://www.apa.org/monitor/2010/07-08/gender-gap.aspx

Dimakos, G., Tyrlis, L., & Spyros, F. (2012). Factors that influence students to do mathematics. Retrieved April 29, 2013 from   http://elib.mi.sanu.ac.rs/files/journals/tm/28/tm1514.pdf  

Holmes, E.E. (2012).Gender and Mathematics learning. Retrieved April 29, 2013 from   http://www.education.com/reference/article/gender-mathematics-learning/  

Mohamed, Z.G & Lazim, A. (2012). The Factors Influence Students' Achievement in Mathematics: A Case for Libyan's Students. Retrieved April 29, 2013 from http://idosi.org/wasj/wasj17(9)12/21.pdf

Mathematics as Creative Art P K

if, as Halmos suggests, math is a creative art then math must also be the handmaid of science. Describing mathematics as a creative art helps students of math better understand the true roles of the mathematician. Numbers, while in many ways central to the art of math, do not comprise the whole lexicon of mathology. Mathematics does stem from "sheer pure intellectual curiosity," enabling students to perceive the world through new eyes (p. 379). Teaching mathematics can therefore be like teaching art. Some pupils will exhibit innate, almost supernatural talents and abilities and others struggle with the language and media unique to each subject. Because mathematics integrates seamlessly with daily life, however, teachers can easily point out the ways mathematics underlies reality. Teaching mathematics from a multifaceted and creative perspective can enhance student learning, retention, and interest in one of the most…

Mathematics Assessment

Mathematics is closely connected to economics, commerce and business modelling, as well as systems for military weapons. Due to the widespread of its use, it was noted that students in the U.S. were beginning to perform a little worse in mathematics than children from other countries worldwide. Mathematical knowledge among citizens was considered a very important factor for a country to be a leading world power. Assessment activities have been a continuing focus of academic research for more than twenty-five years. In that period, there have been new tools developed. In addition, the curriculum has shifted its focus to the results of learning. The shift of focus in the theory of learning to constructivism from behaviourism has greatly influenced the learning and teaching of mathematics. Conventional tests are only centred on the mathematical procedures and skills of students. Thus, application of authentic tools for assessment to measure the learning of…

Mathematic v Conceptual Modeling Limitations

" This reflects the gap that exists between the complexities of the real world and the abilities of abstract models. Models are by definition simplified ways of understanding complex phenomenon; they are necessarily incomplete in their estimations and valuations of real world figures and occurrences. This is why "all models are wrong." "Some models are useful," however, because they are able to approximate to a high degree the outcomes of real world events despite the incomplete nature of the information processed by the model. To make a model useful, bias must be removed. This is not an issue with the certainty of mathematical models, but conceptual models are necessarily subjective, built on the modeler's understanding of an issue. educing bias is key to the model's performance. eferences Aspinall, D. (2007). "Designing interaction." University of Edinburgh. Accessed 30 July 2009. http://www.inf.ed.ac.uk/teaching/courses/hci/0708/lecs/intdesign-6up.pdf Kay, J. (2006). "Amaranth and the limits of mathematical modeling."…

Aspinall, D. (2007). "Designing interaction." University of Edinburgh. Accessed 30 July 2009.   http://www.inf.ed.ac.uk/teaching/courses/hci/0708/lecs/intdesign-6up.pdf  

Kay, J. (2006). "Amaranth and the limits of mathematical modeling." Financial times, 10 October. Accessed 30 July 2009. http://www.johnkay.com/decisions/464

Mathematics on Economics Medieval Era

"Theorists of capitalism" such as erner Sombart state unequivocally that the "beginning and end" of capitalist activities is "a sum of money," which must be calculated and trace the renewed interest in higher mathematics to mercantile capitalism and the need for an easily convertible medium of exchange (Sachs 2000). However, exposure to the Arab world through the Crusades was also a factor in a renewed interest in mathematics independent of capitalism -- interest in rationalism as a concept also spawned theorizing later useful to economists. Fibonacci (1175-1250 AD) "wrote Liber Abaci, a free rendition of Greek and Arabic works in Latin which taught the Hindu methods of calculation with integers and fractions, square roots and cube roots, this book made available the masses the number systems heretofore sequestered in monasteries throughout Europe" (Dickinson 1996). ork Cited Sachs, Stephen E. "New math: The 'countinghouse theory' and the medieval revival of arithmetic."…

Sachs, Stephen E. "New math: The 'countinghouse theory' and the medieval revival of arithmetic." History 90a. May 25, 2000. November 10, 2009.

  http://www.stevesachs.com/papers/paper_90a.html  

Dickson, Paul. "Mathematics through the Middle Ages (320-1660 AD).

History of Mathematics 07305. University of South Australia, 1996.

Mathematics Teaching and Learning in

Implications and Conclusions Suffice is to say the amalgamation of technology in primary school is a two sided-sword saying that one cannot ignore the empirical benefits achieved. It is the responsibility of the education department to set workshops and indulge the teacher in incorporating technology in teaching mathematics to students in primary level. In addition, mathematical competitions should be organized to attract students to take interest in mathematics. eferences Burrill, G., Allison, J., Breaux, G., Kastberg, S., Leatham, K., & Sanchez, W. (2002). Handheld graphing technology in secondary school mathematics: esearch findings and implications for classroom practice. Dallas, TX: Texas Instruments. Available at http://education.ti.com/sites/U.S./downloads/pdf/CL2872.pdf. DiSessa, A.A. (2001). Changing minds: computer, learning, and literacy. Cambridge (Mass.): The MIT Press. Ellington, A.J. (2003). A meta-analysis of the effects of calculators on students' achievement and attitude levels in pre-college mathematics classes. Journal for esearch in Mathematics Education. 34(5), 433-463. Kaput, J. (2007). Technology…

Burrill, G., Allison, J., Breaux, G., Kastberg, S., Leatham, K., & Sanchez, W. (2002). Handheld graphing technology in secondary school mathematics: Research findings and implications for classroom practice. Dallas, TX: Texas Instruments. Available at   http://education.ti.com/sites/U.S./downloads/pdf/CL2872.pdf  .

DiSessa, A.A. (2001). Changing minds: computer, learning, and literacy. Cambridge (Mass.): The MIT Press.

Ellington, A.J. (2003). A meta-analysis of the effects of calculators on students' achievement and attitude levels in pre-college mathematics classes. Journal for Research in Mathematics Education. 34(5), 433-463.

Kaput, J. (2007). Technology becoming infrastructural in mathematics education. Models & Modeling as Foundations for the Future in Mathematics Education. Mahwah, NJ: Lawrence Erlbaum.

Art and Mathematics Are Related

Note the distinct similarities. An examination of Escher's Circle Limit III can thus tell us much about distance in hyperbolic geometry. In both Escher's woodcut and the Poincare disk, the images showcased appear smaller as one's eye moves toward the edge of the circle. However, this is an illusion created by our traditional, Euclidean perceptions. Because of the way that distance is measured in a hyperbolic space, all of the objects shown in the circle are actually the same size. As we follow the backbones of the fish in Escher's representation, we can see, then, that the lines separating one fish from the next are actually all the same distance even though they appear to grow shorter. This is because, as already noted, the hyperbolic space stretches to infinity at its edges. There is no end. Therefore, the perception that the lines are getting smaller toward the edges is, in…

Corbitt, Mary Kay. "Geometry." World Book Multimedia Encyclopedia. World Book, Inc., 2003.

Dunham, Douglas. "A Tale Both Shocking and Hyperbolic." Math Horizons Apr. 2003: 22-26.

Ernst, Bruno. The Magic Mirror of M.C. Escher. NY: Barnes and Noble Books, 1994.

Granger, Tim. "Math Is Art." Teaching Children Mathematics 7.1 (Sept. 2000): 10.

History of Chinese Mathematics

Chinese Mathematics In ancient China, the science of mathematics was subsumed under the larger practice of suan chu, or the "art of calculation." The Chinese are believed to be one of the first civilizations to develop and use the decimal numeral system. Their early mathematical studies have influenced science among neighboring Asian countries and beyond. This paper examines the history of mathematical knowledge in China. It looks at the early Chinese achievements in the field of mathematics, including the decimal system, calculation of pi, the use of counting aids and the application of mathematical principles to everyday life. It also examines the influence of Indian and later, European mathematical knowledge into Chinese mathematics. Early China Unlike the ancient Greeks who prized knowledge for its own sake, much of the scientific studies conducted in ancient China were spurred by practical everyday needs. Because of its geographic location, China was prone to…

Martzloff, Jean-Claude. A History of Chinese Mathematics. New York: Springer Verlag, 1997.

Needham, Joseph. Science and Civilisation in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth. Cambridge: Cambridge University Press, 1959.

Spence, Jonathan D. To Change China: Western Advisers in China, 1620-1960. New York: Penguin Press, 200

Swetz, Frank. Was Pythagoras Chinese?: An Examination of Right Triangle Theory in Ancient China. Philadelphia: Pennsylvania State University Press, 1977.

Araybhata's Contributions to Mathematics &

..an approximation for ?, which is surprisingly accurate. The value given is: = 3.1416. With little doubt this is the most accurate approximation that had been given up to this point in the history of mathematics. Aryabhata found it from the circle with circumference 62832 and diameter 20000. Critics have tried to suggest that this approximation is of Greek origin. However with confidence it can be argued that the Greeks only used ? = 10 and ? = 22/7 and that no other values can be found in Greek texts." (Indian Mathematics, 2009) There is stated by Selin (2001) in the work entitled: "Mathematics Across Cultures: The History of Non-Western Mathematics" to be "...no evidence of the method for extracting cube roots having been known earlier than Aryabhata I." (Selin, 2001) Conclusion Aryabhata made great contributions to mathematics and algebra and his greatest contribution to Algebra was that of his…

Selin, Helaine (2001) Mathematics Across Cultures: The History of Non-Western Mathematics. Vol. 3 Science Across Cultures. Ubiratan D'Ambrosio 2001.

Dutta, Amartya Kumar (2002) Mathematics in Ancient India. Resonance Journal Vol.7, NO. 5 April 2002.

Hooda, D.S. And Kapur, J.N. (2001) Aryabhata: Life and Contributions. New Age International 2001.

Indian Mathematics (2009) Aryabhata and His Commentators. History online available at:   http://www-history.mcs.st-and.ac.uk/Projects/Pearce/Chapters/Ch8_2.html

Career That Requires Mathematics and Uses it Often

Actuaries The Jobs ated Almanac has printed five editions from 1998 to 2001 (Society of Actuaries, n.d.). In two of these editions, "actuary" was rated as the best career in terms of environment, income, employment, outlook, physical demands, security, and stress. In two other editions, "actuary" was rated as the second best career. In only one other edition was it rated fourth. The data used to calculate these findings came from trade association and industry group studies, as well as government sources such as the U.S. Census Bureau and the U.S. Bureau of Labour and Statistics. In addition, Actuaries were rated number six by PayScale.com in terms of highest salary (Braverman & Jeffries, 2009). The average actuary makes around $129,000 a year and a top actuary make around $257,000. This paper will further explore the role and purpose of an actuary, the use of mathematics within this career, and how…

Braverman, B. & Jeffries, A. (2009, December 1). Top-paying jobs. CNNMoney.com. Retrieved from   http://finance.yahoo.com/personal-finance/article/108264/top-paying-jobs  .

Department of Mathematics. (n.d.). Actuarial studies. University of Texas at Austin.

Retrieved from:   http://www.ma.utexas.edu/dev/actuarial  .

Kouba, D. (n.d.). Why choose a mathematics-related profession? University of California.

Mathematical Proofs Middle School Mathematics

As Kleiner & Movo*****z-Hadar show, the burden of proof lies with the mathematician eager to uncover some unknown universal law or theorem. His or her colleagues will, as the authors point out, be harangued and criticized because of a general resistance to new ways of thinking or profound revelations. Because of the difficulty in obtaining proof and subsequently communicating those proofs to the academic community, math remains one of the last bastions of reason in our society. Mathematics stimulates analysis and critical thinking, essential components of a good life. Philosophers use proofs too, such as to illustrate the existence or non-existence of God. Perhaps the most salient issue brought out by Kleiner & Movo*****z-Hadar in their article and the one most relevant to modern classrooms is their celebration of diversity of thought. While mathematics may occasionally manifest as speculation or even intuition, ultimately mathematicians demand proof: evidence, firmness, and rigorous…

Kleiner, Israel & Movo*****z-Hadar, Nitsa. "Proof: A Many-Splendored Thing." The Mathematical Intelligencer. 1997. 19(3).

Problem Solving in Mathematics GCSE or the

Problem Solving in Mathematics GCSE or the General Certificate of Secondary Education is basically a system that is present in England, Northern Ireland and in Wales. In this system, a student is awarded an academic qualification based on the grades that they attain. The qualification that a person attains is equivalent to either a level 2 or Level 1 key skills qualification. Normally, a student can uptake as many subjects as he or she wants. However, different systems set a requirement for how many subjects or GCSEs a student must take. There is present an international system of IGCSE as well and these subjects can be up taken anywhere in the world. This was just a precise history of what exactly the GCSE system is all about. Interestingly enough, the GCSE system was not the first one of its kind. Prior to this, GCE and the English Baccalaureate System were…

Anderson, J. (2009) Mathematics Curriculum Development and the Role of Problem Solving. [E-Book] The University Of Sydney. Available Through: ACSA Conference 2009   Http://Www.Acsa.Edu.Au/Pages/Images/Judy%20Anderson%20-%20Mathematics%20Curriculum%20Development.Pdf   [Accessed: 11th February 2013].

Bloom, B. (1971) Handbook Of Formative And Summative Evaluation Of Student Learning. New York: Mcgraw-Hill.

Boaler, J. (2002). Experiencing School Mathematics: Traditional And Reform Approaches To Teaching And Their Impact On Student Learning. Mahwah, N.J., L. Erlbaum.

Davies, I. (1975) Writing General Objectives And Writing Specific Objectives. In: Golby, M. Et Al. Eds. (1975) In Curriculum Design . 1st Ed. Open University Books .

Curriculum Design Mathematics -- Trigonometry

Activity -- Work through the rock face problem as a class using an overhead or projector. Ask for input on alternatives to this set of functions? Ask for, and brainstorm other measurements in which we can try our new method (e.g. measurement without a measurement tool). 2. Working on the concept of ratios. Using the measurement skills from Activity 1, students will calculate measurement and ratios to find patterns of sides of a triangle. This will develop the concepts of sine, cosine, and tangent ratios of angles. Students should have a basic concept of ratio, be able to convert fractions to decimals up to three places and be able to measure the length of sides of a triangle. Divide class into 4 groups, each group will have a set of triangles copied on colored paper. The triangles should be cut and set aside. Class will also need three large charts…

Improving Mathematics in Middle School

These include: question/answer, lecture, demonstration, discussion, individual student projects, laboratory, technological activities, and supervised practice. Previous research has demonstrated that the use of informal knowledge, real world settings and opportunities to apply mathematical thinking are effective instruction methods for introductory algebra. For this reason, instructional factors are related to achievement in algebra (p. 102). When comparing the test scores from Japan and the United States, House and Telese (2008) found a correlations between positive beliefs in the student's mathematical ability and their test scores. Those who believed they could do well in math performed better than those who expressed a negative opinion about their skills, when compared to their peers. In addition, students who worked problems on their own had higher test scores. This supports Silver's (1998) analysis that much of the reason why American students have poorer test scores than their international peers is due to the classroom instructional…

Falco, L., Crethar, H. & Bauman, S. (Apr 2008). "Skill-builders: Improving middle school students' self-beliefs for learning mathematics." Professional School Counseling, 11(4). p. 229-235.

House, D. & Telese, J. (Feb 2008). "Relationships between student and instructional factors and algebra achievement of students in the United States and Japan: An analysis of TIMSS 2003 data." Educational Research & Evaluation, 14(1). p. 101-112.

Silver, E. (Mar 1998). Improving mathematics in middle school. Lessons from TIMSS and related research. Retrieved December 14, 2010, from   http://www2.ed.gov/inits/Math/silver.html  .

New California Mathematics Framework

new California Mathematics Framework. Specifically it will discuss how these changes affect teaching math in grades 6-12. The new California Mathematics Framework (CMF) provides teachers with techniques to teach mathematics in the classroom, and it has been changed significantly from previous frameworks. The framework's changes will certainly alter how many teachers teach in the classroom, and some of the changes may be difficult to implement. To begin with, the framework provides some goals for teachers to meet in the classroom. For example, it is the goal of the teacher to "Provide the learning in each instructional year that lays the necessary groundwork for success in subsequent grades or subsequent mathematics courses" (Editors 2). This is extremely important in grades 6-12, where students will be layering new types of math learning on top of each other, such as algebra followed by geometry followed by calculus. To build a good foundation can…

Editors. "California Mathematics Framework." California Department of Education. 2008. 4 Nov. 2009.

Descartes Mathematics of the Billions

Before "cogito ergo sum" was ever conceived, Descartes introduced a number of enthymemic principles. The first was that he, as an individual, had the right to assert his wishes. The concept that the mere state of being a living, breathing human implies right and privileges is fundamental to most present-day beliefs, but at the time it was worse than disgusting; it was blasphemous. Another example was his unshakeable self-confidence. Despite signs of anti-sociality, such as moving from house to house yearly without notice and keeping strange hours, Descartes was not intimidated by his separation from society, but rather insistent on it. It allowed him to work in peace and, perhaps most importantly to avoid contaminating sources of thought. It is worth noting that the key to this vital constancy was rooted in the fact that his beliefs confirmed his individuality and personal powers of thought. At the age of twenty-three,…

Effects of Mathematics Instruction in English on ELL Second Grade Students

Mathematics Instruction in English on ELL Second Grade Students J. Elizabeth Estevez Educ2205I-Content Research Seminar Mathematics is a powerful tool for interpreting the world. Research has shown that for children to learn how to use mathematics to organize, understand, compare, and interpret their experiences, mathematics must be connected to their lives. Such connections help students to make sense of mathematics and view it as relevant. There has, however, been controversy with regard to children from non-English backgrounds and the best ways to get them to make those connections. Questions are raised regarding how to instruct these children who are referred to as English language learners (ELL's). Should they initially be taught in their native language with gradual exposure to English in language classes, or should they be immersed in English as early as possible. Based upon ideas presented in research studies and my own ideas as a former bilingual teacher,…

Students With Disabilities and Their Mathematics Instruction

Individuals with Disabilities Education Act (IDEA) governs how the U.S. states offer special education services to children with disabilities. It addresses the educational needs of the children with disabilities from birth to age 21, and involves more than a dozen specific categories of disability. Congress has reauthorized and amended IDEA several times, most recently in December 2004. Although historically, students with disabilities have not had the same access to the general education curriculum as their peers, IDEA has changed the access and accountability requirements for special education students immeasurably (NCTM, 2011). The challenges for meeting the needs of students with disabilities and ensuring their mathematical proficiency, confront teachers of mathematics every day. Teachers must use the results of all assessments, formative and summative, to identify the students whose learning problems have gone unrecognized, and monitor the progress of all students. Regardless of the level or method of assessment used, teachers…

Gavigann, K., & Kurtts, S. (2010). Together We Can: Collaborating to Meet the Needs of At-Risk Students. Library Media Connection, 29(3), 10-12.

King, C. (2011, March). Adults Learning. Retrieved from   http://content.yudu.com/A1rfni/ALmarch2011/resources/a29.htm  

Sellman, E. (Ed.). (2011). Creative Teaching/Creative Schools Bundle: Creative Learning for Inclusion: Creative. Port Melbourne: Routledge.

Culture Affects the Way Students Learn Mathematics

culture affects the way students learn mathematics, and how different cultures learn differently. Students in Korea and Japan learn differently than students in the United States for a number of reasons. Statistically, Asian students seem to do better at mathematics than American children do, and they way they learn their mathematics at an early age may be on reason this is so. Identification and Investigation US students often show lower test scores in understanding mathematics, while Asian students consistently score higher. There are many reasons for this, from different cultures to different methods of instruction. For example, one researcher found that Japanese children think of numbers differently, and see their relationships in depth. She writes, "She discovered part of the reason was the way they named their numbers. Following ten, they say, "ten 1, ten 2, ten 3" for 11, 12, 13, and say "2-ten, 2-ten 1, 2-ten 2" for…

Bharucha, J. (2008). America can teach Asia a lot about science, technology, and math.

Chronicle of Higher Education; Vol. 54 Issue 20, pA33-A34.

Cotter, J. (2009). Right start mathematics. Retrieved 13 Nov. 2009 from the Abacus.com Web site:   http://www.alabacus.com/Downloads/RightStart%20Mathematics.pdf  . 1-5.

Editors. (2000). How Japanese students learn math. Christian Science Monitor; Vol. 92 Issue 127, p17.

How New York State Presents Its Core Standards for Mathematics

Education hat are the differences between the Common Core Standards for grade eight and the New York State standards of mathematics? Common Core Standards For one thing, the Common Core Standards offer narrative (rather than bullet points) and go into more specific and in depth instructions through narrative. The Common Core Standards expressly mentions three critical areas out in front: a) formulating and reasoning about "expressions and equations," which includes "modeling an association in bivariate data with a linear equation" -- and that includes being able to solve "linear equations and systems of linear equations"; b) students are asked to "grasp the concept of a function" and to use functions in order to understand "quantitative relationships"; and c) students must be able to apply the Pythagorean Theorem when it comes to being able to analyze two and three dimensional space and figures using "distance, angle, similarity, and congruence" (www.corestandards.org). These…

Common Core Standards. "Grade 8 -- Introduction / Common Core State Standards Initiative."

Retrieved July 31 from   http://www.corestandards.org/Math/Content/8/introduction  . 2011.

IXL -- New York Eighth-Grade Math Standards. "New York: Skills available for New York

Eighth-Grade Math Standards." Retrieved July 31, 2014 from   http://www.ixl.com/standards/new-york/math/grade-8  .

GCSE Mathematics Teacher

Personal specification for GCSE Mathematics position Appropriate knowledge and skills related to the area of teaching required and a willingness to keep up-to-date. In order to be a successful GCSE mathematics teacher, it is important that I must know appropriate knowledge about the course that I am delivering to the students and have good skills of communication so that the students understand my way of teaching as well. I have taken different courses of calculus, statistics, geometry and algebra in college as well as during the graduation level. Taking the courses has strengthened my command in mathematics and I can easily and confidently transfer the processes and concepts over to the students. Answer key in mathematics is one of the short-cuts that should be avoided so I do not allow my students to have the key with them at all as this would lower their confidence as well as mine.…

ITS. (n.d.). Retrieved from www.itseducation.asia:   http://www.itseducation.asia/overcoming-blocks.htm  

(n.d.). Pastoral Care. Retrieved from:   http://www.strath.ac.uk/media/ps/sees/equality/e-and-d-for-academics-factsheet-pastoral-care.pdf  

Zeiger, S. (n.d.). Retrieved from work.chron.com:   http://work.chron.com/5-important-characteristics-become-good-math-teacher-8926.html

strategies to improve mathematic performance for children

Improve Mathematic Performance for Children With Learning Difficulties and Their Effectiveness Students with learning disabilities face several problems. More often than not, these students advanced approximately one academic year for every two academic years they attended school. Strategies employed by teachers can have a major impact on enhancing this particular performance in all levels of schooling. The lack of comprehensive strategies and interventions students with mathematics disabilities end up considerably lagging behind compared to their peers. Statistics indicated that approximately 25% to 35% of students experience difficulty with math knowledge and application skills. Moreover, 5 to 8% of all students in school have such considerable deficits that influence their capability to solve computation problems (Sayeski and Paulsen, 2010). In accordance to Hott et al. (2014), strategy training has been beneficial to students with learning disability when learning math conceptions and practices. As presented in the article one of the strategies…

de Boer, H., Donker-Bergstra, A. S., & Konstons, D. D. N. M. (2012). Effective strategies for self-regulated learning: A meta-analysis. Gronings Instituut voor Onderzoek van Onderwijs, Rijksuniversiteit Groningen, Groningen.

Hott, B. L., Isbell, L., & Oettinger, T. (2014). Strategies and Interventions to Support Students with Mathematics Disabilities. Council for Learning Disabilities.

Maag, J. W., Reid, R., & DiGangi, S. A. (1993). DIFFERENTIAL EFFECTS OF SELF-MONITORING ATTENTION, ACCURACY, AND PRODUCTIVITY. Journal of Applied Behavior Analysis, 26(3), 329-344.

Mercer, C. D., Mercer, A. R., & Pullen, P. C. (2011). Teaching students with learning problems (8th ed.). Upper Saddle River, NJ: Pearson Education.

Application of the Discrete Mathematics

Coding Theory for Discrete Mathematics In the contemporary IT (information technology) environment, increasing number of organizations are using large computer to transmit data over a long distance and some of these data are transmitted across billions of kilometers. During data transmission, some data can be degraded; the coding theory is an effective strategy to recover degraded data in order to guarantee reliable data transmission. Coding theory also assists in recovering and detecting errors, which assists in enhancing efficient data storage and data communications. Objective of this paper is to discuss the coding theory and its real world application. The paper discusses the errors detecting codes and its application in the next section. Error Detecting Codes A simple strategy to detect errors is to add parity in order to check bit. To detect errors, a bit strong will be transmitted in order to add a parity bit. Typically, when a bit…

Key, J.D. (2000). Some error-correcting codes and their applications. College of Engineering and Science Clemson University.

Moon, T.K. (2005). Error Correction Coding. New Jersey: John Wiley & Sons.

Pless, V. (1998), Introduction to the Theory of Error-Correcting Codes (3rd ed.), Wiley Interscience.

Rosen, K.H.(2012). Discrete Mathematics and Its Applications. (Seventh Edition).New York. McGraw-Hill Companies, Inc.

Three Mathematic Textbooks Review

Precalculus With Limits by on Larson This book as well as the other two books are for college freshman level or college introductory level mathematics courses. The strengths of the book are mainly focused on its layout. For example, the book has a great way to demonstrate a varied and large amount of information easily and simply. This means that people reading the text just have to look for certain visual cues like colors or pictures that will point the information they seek. For example, the diagrams have a different background color than the text. All of this removes time spent looking for things. The use of bold also further differentiates the text, highlighting key words, phrases and things to memorize. The weaknesses are in lack of context surrounding the topics and footnotes. Another book reviewed has footnotes and yet another provides adequate background for each topic. This book sacrifices…

Larson, R., Hostetler, R., & Edwards, B. (2011). Calculus I, with precalculus (3rd ed.). Boston: Houghton Mifflin.

Larson, R., Hostetler, R., Edwards, B., & Heyd, D. (2013). Precalculus with limits (3rd ed.). Boston: Houghton Mifflin.

Mirsky, L. (2012). Introduction to Linear Algebra. Dover Publications.

Financial Terms Using Consumer Mathematics

The amount of interest that we would pay each month is the rate (say 6%) divided by twelve (multiplied by the principal). Therefore, the yearly compounded rate is higher, actually, than the disclosed rate. In Canada, mortgages use semi-annual compounded rates, while payments are still monthly. Mortgages in the U.S., however, are mostly payable and compounding monthly, which means that U.S. homeowners are paying more in interest on their homes than Canadians, as the yearly compounded rate is higher than the disclosed rate. Buying a home, we found, is a lot like buying smaller things, as we have been doing, on credit, with credit cards, which is called "installment buying." Installment buying stipulates that, although one may "purchase" something with a credit card and use it, it legally still belongs to the seller until the last payment is made. If the buyer defaults, the goods revert to the seller and…

Orman, Suze, "The True Cost of Home Ownership." Yahoo.com. January, 2007.   http://biz.yahoo.com/pfg/e10buyrent/art011.html  .

Infoplease. "Installment Buying and Selling." Infoplease.com. Website:   http://www.infoplease.com/ce6/bus/A0825286.html  .

Differential Learning in Mathematics

conveyed in an effective manner to meet the needs of students. It is an important aspect of differentiating instruction. Students with diagnosed learning disabilities will receive an IEP designed to address their specific learning issues and deficits. Presentation, response, timing (scheduling) and setting can all be addressed in differentiation. Memory; auditory, visual, and even motor processing; attention deficits; abstract reasoning issues; and organizational problems can all cause issues for students that can be improved with differentiated instruction (Ginsberg & Dolan, 2003, p. 87). In-class assessment can take place in both in traditional formative and performance-based ways. Formative assessment is used during the learning process so the teacher can check in to see what the student has retained. This can be observational or in the form of quizzes or other graded formats. But while performance-based assessment can take the form of conventional tests there are other methods besides exams, including flexible…

Chapter 6: Algebra

Algebra is often taught relatively early in a student's middle school or high school career but many students, particularly students with learning disabilities, struggle to grasp its basic concepts (Lannin & Van Garderen, 2013, p.141). Weak abstract reasoning skills, combined with computational and memory deficits as well as low self-esteem all conspire to make learning algebra especially difficult for LD students. The most basic concepts of algebra can be fostered as early as grade school, when children learn the intrinsic properties of numbers such as even and odd and zero. Even elementary school children should understand that adding and subtracting the same thing does not change the property's intrinsic value (Lannin & Van Garderen, 2013, p.146). By grade 6 or so they should be able to write their own equations to understand simple word problems; by grade 8 they should understand linear functions (Lannin & Van Garderen, 2013, p.148). But always, the emphasis must be on real understanding. Tables, graphs, and other methods can be useful although it is important for the instructor to be focused on conveying the meaning of the equation to the student, above all else. Linking the equation to a physical representation is key, not simply using a graphic without an expressed pedagogical purpose (Lannin & Van Garderen, 2013, p.152).

For LD students in particular, developing a step-by-step method to approach algebraic equations is critical. Pictorial representations can also be useful. Finally, self-monitoring is important, given that LD often have a weak skill set in this area. All of these approaches can be useful for all students but a teacher must be especially mindful of using this approach with LD students. Both authentic tasks and cognitive understanding is essential for true mastery (Lannin & Van Garderen, 2013, p.157). Peer-based learning can be helpful to enhance motivation.

Mathematics Whole Number Computation

Whole-Number Computation Equal-groups math problems can be delineated as word problems where an individual is given a number of equal groups, and then the task is to find the missing number within the problem. In other words, equal-groups are groups that comprise of the similar number of equivalent items. To simplify the understanding of these questions, a full equal-groups math problem comprises of three different parts including the number of groups, the number of items contained in every group, and the total number in all of the groups. The following formula makes it possible to comprehend how to comprehend these three parts using multiplication: The number of groups × the number of items in every group = total The number of groups is one factor, and the “in each” number is the other factor. The total number in all groups is the product. It is imperative to note that in…

George Cantor

Mathematics George Cantor The purpose of the paper is to develop a concept of the connection between mathematics and society from a historical perspective. Specifically, it will discuss the subject, what George Cantor accomplished for mathematics and what that did for society. George Cantor's set theory changed the way mathematicians of the time looked at their science, and he revolutionized the way the world looks at numbers. George Cantor was a brilliant mathematician and philosopher who developed the modern mathematical idea of infinity, along with the idea of an infinite set of real numbers, called transfinite sets, or the "set theory." In addition, Cantor found that real numbers were not countable, while algebraic numbers were countable (Breen). Cantor's views were quite controversial when he first developed them in the late 1800s, and some mathematicians today question some of his hypothesis ("Transfinite Number"), however, his work is recognized as some of…

Author not Available. "Georg Cantor." Fact-Index.com. 2004. 13 April 2004. http://www.fact-index.com/g/ge/georg_cantor.html

Breen, Craig. "Georg Cantor Page." Personal Web Page. 2004. 13 April 2004. http://www.geocities.com/CollegePark/Union/3461/cantor.htm

Everdell, William R. The First Moderns: Profiles in the Origins of Twentieth-Century Thought. Chicago: University of Chicago Press, 1997.

O'Connor, J.J. And Robertson, E.F. "Georg Cantor." University of St. Andrews. 1998. 13 April 2004. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Cantor.html

Workshop Teacher

Mathematics Summer Institute Statement of Goals Attending the 2002 Summer Institute for Elementary School Teachers represents and exciting opportunity for me to further explore my interest in teaching mathematics, as well as an opportunity for me to apply and share my knowledge and experience with like-minded educators. I am a strongly committed to and enthusiastic about mathematics education at the elementary school level. I believe that ensuring that children are engaged and interested in mathematics in early elementary school is essential to building strong numeracy in our youth. When young children develop an interest in math and strong skills as youngsters, they are more likely to continue studying mathematics as they grow older. In addition to these academic benefits, understanding and being able to apply math principles and concepts helps children grow into effective critical thinkers with a broader skill set. I hope to achieve several personal learning goals by…

Techniques Correlation

Mathematics Analysis Techniques: Correlation A positive correlation between annual income and amount spent on car would be expected. This means that there is a relationship between the two and that, in general, higher annual income would show an increase in the amount spent on car, while lower annual income would show a decrease in the amount spent on car. However, it would not be expected that this would be a strong relationship because other factors would influence the amount spent on car. For example, some individuals with an income in the middle range may consider an expensive car a key priority, while others would have other priorities. In addition, annual income level is not a true measure of wealth because it does not take into account a person's expenses. For example, a young single person without a family and without a mortgage would have more disposable income than a married…

Globalization and the Structures of

Use the appropriate representations to model problems in the physical and social sciences (Ibid.) Numeration Systems and Number Theory -- Number theory is a basis for all areas of mathematics. Number theory and sense are precludes to computation, to estimate, and to have an understanding of the ways numbers are represented and interrelated. Fluency of also understanding the way positive and negative numbers can be visually represented on a line, or how numerical values interrelate, are essential prior to moving toward higher level concepts (Kane, 2002). Algebraic Thinking and Problem Solving -- ather than viewing the subject of algebra as certain sets of problems, the appropriate way to introduce it into elementary levels is as the relationship among quantities, the use of symbols, the modeling of phenomena, and the study of change. Students should be able to understand patterns, relations, and functions and how numbers may be represented in different…

Askey, R. (1999). "Knowing and Teaching Elementary Mathematics." American

Educator. Fall 1999, Cited in:

  http://www.aft.org/pubs-reports/american_educator/fall99/amed1.pdf  

Blanton, M. (2008). Algebra and the Elementary Classroom. Heinemann.

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Research Paper

Education - Mathematics

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Research Proposal

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To my observation, a math teacher now has the ability to put a personal stamp on his approach to curricular material, with evolving technologies such as a class website…

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Book Report

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conveyed in an effective manner to meet the needs of students. It is an important aspect of differentiating instruction. Students with diagnosed learning disabilities will receive an IEP designed…

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The Guide on How to Write a Mathematics Essay

Many people have doubts about the usefulness of writing mathematics papers, as math is the science of numbers with no reference to the words. However, professors continue to provide students with writing tasks which include mathematics. The main function of the writer who receives such an assignment is to define the problem and explain the solution. Mathematics essays are different from others because the author needs to introduce results at the start of the paper. Readers should understand the conclusion to analyze the explanation provided by the writer. The author needs to perceive the audience as people who do not know nearly anything about math. The report should be understandable for everyone.

Writing Mathematics essays is the perfect opportunity for students to understand the certain part of the class better. The proper explanation requires source processing and researching. Therefore, students acquire useful knowledge during the writing process. In fact, the essential part of writing mathematics essays is to examine the provided field and seek out for information in libraries or internet storages. Find all the relevant information in this math essay writing guide.

Choosing a Topic for a Mathematics Essay

One of the most important tasks of writing a mathematics essay is the process of choosing a topic. There are two types of mathematics essays:

The writer should anticipate the type of the paper before choosing the topic to decrease the range of possible options. Mathematics writing that does not solve a certain problem have a different structure and do not need the implications and background parts, similarly to the regular arrangement of the essay. At the same time, in the problem-solving type of research, the author should show the knowledge of the subject and provide an understandable explanation for people with the same or a bit lower level of expertise.

Once the topic is chosen, it is better to write the main ideas of the essay to understand the future requirements for the paper and the needed amount of work to be done. Certain topics may be more difficult to describe or chose the exemplary problem to solve in the article. The writer should define the level of mathematics understanding to pick the solution topic which they can explain clearly with the investigation in the sphere.

Try a quicker way

Examples of the proper history of math topics for the regular students:

Examples of the problem-solving topics:

You as a writer of an essay in Math should remember that there is no point in choosing the less difficult problems to explain the provided topic. Readers may not understand the full implication of certain theory from the solution of the first level exercise from the textbook. However, the student needs to find a golden middle point which stands between the obvious topics (problems) and the difficult ones which he or she could not properly understand or explain.

Examples of abortive topics in Mathematics:

3 Tips from Our Writers for Writing a Mathematics Essay

Furthermore, besides the regular structure and formatting pieces of advice, there are few tips which may be helpful for writing any kind of mathematics essay. The suggestions should not be used as a rule as every writer has different preferences and creates his or her own methods for the facilitation of the working process. At the same time, mathematics essays have certain common features and difficulties which are easier to understand with these pieces of advice:

draw graphs

The Structure Used for Your Mathematics Essay

As was mentioned above, the problem solving type of a mathematics essay has a structure that differs from the regular one. A math essay that describes certain concepts and suggests examples of their implementation consists of the background, introduction, body, and implications sections.

The background constituent of the essay is the original feature of the mathematics essay. Readers should already understand that this part is not needed for the history of math papers. As a part before the introduction of the problem-solving piece, the background should highlight the primary concepts of the topic. The writer needs to describe the short history and periods of the theory development. Background usually consist of the general information without any refinement regarding the present later problem. The primary task of the writer in this section of the paper is to provide people who may not be familiar with certain terms or principles with necessary facts to understand the solutions in the other parts of the essay. The author should define the audience before writing the background as it would not be important to highlight obvious math attributes to the Masters in Math, for instance.

Introduction

The introduction is the regular part of any kind of an essay, and it is necessary as the main ideas or solutions should be presented to the reader at the start of the paper. This part of the writing is not the same for the mathematics essays as for the usual ones because of a few distinctions The necessary constituents of the introduction section:

You as a writer of a Mathematics essay should not forget that its essential distinction is that the final results (solutions) are presented in the introduction, unlike the other types of papers. This feature is needed for the reader to understand the ending assumptions and analyze explanation in the body part.

Body Paragraphs

The widest part of each academic paper is the body. This section of the mathematics essay includes information about the stated problem and description of its solutions. It usually contains many formulas, examples of the theories’ implementation, and exposition of the similar issues. The writer needs to concentrate on the clear selection of words and use only those principles or symbols which were stated in the background or introduction sections. In fact, the crucial goal of the mathematics essay is to make the reader understand the topic better; therefore, there is no need for the complex constructions or utilizations of difficult math formulas. The usefulness of the paper will be determined by its clearness and specification. Body paragraphs ought to be concentrated on the provided issue and its solutions, with the tiny part of the general information which is not helpful for the problem.

Implications

The final part of the mathematics essay is the implications, which shows the readers how they can utilize the received knowledge in the future. This section provides examples of the assignments or issues which relate to the topic and the short explanations for their solutions. Also, the writer can provide additional sources and information for more thorough research of the area to support the reader in his or her future. The implications part explains why the topic is important and how the provided problem can be connected to the people’s lives. Besides, the writer ought to state the consequences of his work and the original reasons for its writing. In the end, the reader needs to acknowledge the usefulness of the researched mathematics essay and see exactly why it is essential for him or her to know about it.

How to Choose Reliable Sources for a Math Essay

Undoubtedly, the writer needs to do significant research to compose the well-structured and useful mathematics essay. It would be impossible to explain and describe the topic without any side help from the articles, books, or internet resources. However, there are a few rules which the writer should adhere to when choosing the source for their paper. Unlike the other subjects, math information is usually contained in the books and internet resources. However, books can be 30-40 years old and still credible. Once the mathematics principle was proved, it takes many years to improve or change it.

At the same time, information from certain sites may not be truthful and written by the person who does not understand mathematics at all. Consequently, all found internet sources should be analyzed and checked for the credibility. There are certain sites which have already proven themselves and can be used for the more thorough understanding of the explained principles:

Formatting and Proofreading a Mathematics Essay

Finally, the last but not the least important part of the essay creation is proofreading and checking the paper after the writing. Certain writers tend to ignore this task as they are confident in their English and the ability to express thoughts. However, even the professionals who write for years still need the final proofreading and checking of the format. After the last word of the essay, the writer should read it and correct the found mistakes. The human mind is not a perfect computer. Therefore, sites like Grammarly.com exist, where any person can use the program to check their paper for common mistakes, replace words with synonyms, or even change the whole sentences. After proofreading, the author should not forget about plagiarism checking as the work is credible only when it is original. All information from the side sources should be cited relatively to the needed citation style (MLA, APA, Harvard, etc.)

You are well-equipped with all the relevant math essay writing tips on how to write a Mathematics essay in a proper manner. Feel free to write a Mathematics essay to achieve great results.

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Mathematics Essays

The essays below were written by students to help you with your own studies. If you are looking for help with your essay then we offer a comprehensive writing service, provided by fully qualified academics in your field of study.

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Mathematics Essays & Related Services

Mathematics essays (page 1), an explanation of the fibonacci sequence.

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This paper examines the properties of the Fibonacci Sequence and some identities related to Fibonacci's sequence....

The Life and Discoveries of Leonhard Euler

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This paper is a brief biography of the Swiss mathematician Leonhard Euler and an overview of some major contributions he made to various fields of mathematics....

Finding Difference Between the Squares of any Two Natural Numbers

Example essay. Last modified: 24th Sep 2021

This paper tries to identify the general properties, special properties of finding difference between the squares of any two natural numbers using number patterns. A rhombus rule relationship between the sequences of numbers formed by considering the difference between squares of the two natural numbers has been defined....

Unexpected Mathematics: Benford's Law and Other Surprising Distributions

Example essay. Last modified: 17th Aug 2021

Benford’s law is a surprising mathematical concept which at first seems rather counter-intuitive. It explains the distribution of the leading digits in a large set of data. A simple example displays its initial peculiarity. Imagine we look at the current share price of every company on the FTSE 350, an index of the 350 largest UK companies....

Complex Numbers and their Applications

Example essay. Last modified: 29th Jul 2021

A complex number is a number comprising area land imaginary part. It can be written in the form a+ib, where a and b are real numbers, and i is the standard imaginary unit with the property i2=-1...

Correlation of Mathematics with Other Subjects

Example essay. Last modified: 26th Jul 2021

Mathematics is “Science of all Sciences” and “Art of all Arts”. After understanding the basic concept of mathematics, students need to correlate the importance and concept of mathematics with other subjects, so as to understand other subjects easily and establishing relationship...

Application of Matrices in Real-Life

Example essay. Last modified: 22nd Jul 2021

Matrices are used much more in daily life than people would have thought. In fact it is in front of us every day when going to work, at the university and even at home....

Mathematical Ciphers Essay

Example essay. Last modified: 11th May 2021

Mathematical ciphers have been used to encrypt secret messages throughout the ages, dating all way back to the ruling of Julia Caesar in (100 B.C) (Cryptii, 2020). Ciphers are used the encrypt a secret message to send to a person of secret dealings to be decrypted to reveal a secret message....

What Is the Mandelbrot Set and How Is It Constructed?

Example essay. Last modified: 4th Nov 2020

The purpose of this essay is to examine the definition of the Mandelbrot set and also how its image is constructed. In addition, I aim to analyze and discern notable patterns in this remarkable image...

Biography and Impact of Charlotte Angas Scott

Charlotte Angas Scott was an English mathematician born on June 8, 1858 in Lincoln, England. She was the 2nd child of seven to Caleb, a minister in a Congregational Church, and Eliza Ann Exley Scott...

Payment Time Confidence Interval Case Study

Example essay. Last modified: 18th May 2020

Payment Time Case Study Electronic billing systems were created to make life easier for companies. Technically speaking, the new billing system is supposed to significantly reduce the pa...

Writing Across the Curriculum in Mathematics

Abstract:  A student’s ability to explain concepts in writing is related to the ability to comprehend and apply them. Writing supports mathematical reasoning and problem solving and helps ...

Biography of Georg Cantor

Georg Cantor was born in St Petersburg, Russia. His birthday was March 3, 1845. Him and his family lived in St Petersburg Russia until he was 11 years old. They moved to Frankfurt Germany. They m...

Roger Caillois' Scientific and Mathematic Developments

Roger Caillois, polymath, philosopher, historian of science, was friend of Andre Breton and many surrealists. However, in 1934, Caillois’s mind was different from surrealist investigators. The ...

Music and Mathematics Harmony

Pythagoras was quoted as saying, “there is geometry in the humming of the strings, there is music in the spacing of the spheres.” As poetic as this sounds, the famous Greek mathematician was ...

How Can Integral Calculus Be Derived and Applied to Find the Volumes and Surface Area of Complex Three-dimensional Objects?

1.    Rationale While looking for an area of maths to delve into my Mathematical Exploration, I took inspiration from my grandfather’s hobby of pottery and glass blowing...

Mathematical Modelling of Swimming World Records

i ABSTRACT Have you ever wonder what time we can expect for athletes to swim in the Tokyo 2020 Olympics? This the basis that encourage me to research the main question of the report...

To What Extent Is the Acquisition of New Mathematical Knowledge Based on the Need to Solve Problems?

Upon first glance, it appears that “knowledge” is created mainly “to solve problems”, indirectly implying that knowledge can be used for other purposes. In the context of this investigati...

Calculus and Quadratic Formula to Determine Lengths

INTRODUCTION Calculus, which is one of the foremost branches of Mathematics, studies about the rates of changes. It was invented by Isaac Newton and Gottfried Leibniz in the latter half ...

Image Inpainting Using Mathematical Algorithms

Image Inpainting – Filling in the gaps. Abstract Inpainting is the process of rebuilding lost or damaged parts of images and videos. Image inpainting, also called hole filling...

Mathematical Modelling Report

Scientific problems are approached by building ‘models’. Not little cardboard models, but models made from mathematical tools. We can play with the symbolic models and adjust them until they ...

Math and Its Influence on Renaissance Warfare

Example essay. Last modified: 8th Feb 2020

 At the turn of the 14th century, there is a societal shift that can be portrayed as a transition from darkness to light. From the fall of the Rome Empire to the beginning of the 14th Centur...

Is Complete Certainty Achievable in Mathematics?

Prescribed Title: Mathematicians have the concept of rigorous proof, which leads to knowing something with complete certainty. Consider the extent to which complete certainty might be achievable ...

Overview of Game Theory and its Applications

Introduction Game theory consists of seven aspects: players, action, strategies, information, utility, outcome and equilibrium. Participants in all game models of game theory are defined...

Math ISU on Tower of Hanoi

Introduction – The Legend In 1833, Edouard Lucas, a French Mathematician, has created a game puzzle and named it Tower of Hanoi (Bogomolny, n.d., para. 1). In truth, the inspiratio...

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  1. Mathematics Essay Examples

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    Essays About Math: Top 10 Examples and Writing Prompts · 1. Mathematics: Problem Solving and Ideal Math Classroom by Darlene Gregory · 2. Math Essay by Prasanna.

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    Mathematics do play a big part in our daily lives. Mathematical functions like addition, subtraction, multiplication, division and so on are used in our daily

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    Mathematics essays are different from others because the author needs to introduce results at the start of the paper. Readers should understand the conclusion

  10. Mathematics Essays

    Example essay. Last modified: 22nd Oct 2021. This paper is a brief biography of the Swiss mathematician Leonhard Euler and an overview of some major