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985 total results

The Idea of Math Learning Trajectories According to Samara and Clemets (463 words, 2 pages)

Teaching math in an effective way to primary school students can be a difficult task, and many teachers are torn between whether they are overwhelming their young students with math concepts or teaching them too little. Samara and Clemets begin their article by stating three research findings regarding why math ... Read More

The Use of the Pythagorean Expectation Formula to Calculate a Baseball Team’s End of Season Win-Loss Percentage (746 words, 3 pages)

MoneyballThe Pythagorean expectation formula, invented by Bill James, estimates how many games a baseball team should have won based on the number of runs they scored and allowed (Miller). This calculates the teams end of season win-loss percentage. The actual equation takes the observed average number of runs scored per ... Read More

A Brief Introduction to the Life and Works of Leonhard Euler, a Swiss Mathematician and Physicist Who Largely Contributed to Calculus and Trigonometry (913 words, 4 pages)

Leonhard EulerWhat mathematician contributed most to Calculus and Trigonometry? This is one of the most debatable questions of the centuries. Some might say Pythagoras contributed the most based on his famous formula, the Pythagorean Theory. While others argue that Plato is the most important mathematician based on his contributions to ... Read More

An Analysis of the Applications of the Game Theory (3955 words, 20 pages)

08Fall08FallIntroductionI first learned about Game Theory during my Economics class, as an introduction to oligopolies and cartels. Ever since, Ive been fascinated by the prisoners dilemma how sometimes the most logical decision isnt the option with the highest pay-offs. After researching about it, I also discovered other forms of Game ... Read More

The Importance of the ‘e’ Constant in Maths (839 words, 8 pages)

Introductione is one of the most important constants in math. Just like pi, it is an irrational constant that does not have an end. It is named after Leonard Euler, who was amongst the first mathematicians to use it in their papers and popularize it. It is one of the ... Read More

An Attempt to Prove the Mathematical Constant ℯ to Be Transcendental (1464 words, 9 pages)

PROVING e TO BE TRANSCENDENTALREASONINGMy first encounter with e as a constant mightve been in elementary school, in algebra class. For years after, it flittered at the edge of my mathematical understanding, appearing briefly during certain week-long stretches--the logarithm unit, where it received its own special natural log, and later, ... Read More

The Different Methods Used to Calculate an Area under a Curve (2245 words, 11 pages)

The wonderful world of math is strange yet beautiful and simple yet complex. As a kid were taught what numbers are, the numeric value they have, and how to use them. Then all of a sudden letters start showing up alongside the numbers and were told this is called algebra, ... Read More

An Overview of Integral and Derivative Calculus (2277 words, 10 pages)

The wonderful world of math is strange yet beautiful and simple yet complex. As a kid were taught what numbers are, the numeric value they have, and how to use them. Then all of a sudden letters start showing up alongside the numbers and were told this is called algebra, ... Read More

A Paper on Calculus Ideas Focusing on the Topics of the Integral and the Derivative (1693 words, 7 pages)

It is often said that one gets lost in the story, or the world, or even own thoughts, but what kind of lost is being referred to? The lost where you get so mixed up in the story, so overwhelmed that you cant find which way is up, which way ... Read More

The Different Uses of Integrals in Mathematics (1889 words, 9 pages)

The wonderful world of math is strange yet beautiful and simple yet complex. As a kid were taught what numbers are, the numeric value they have, and how to use them. Then all of a sudden letters start showing up alongside the numbers and were told this is called algebra, ... Read More

The Different Components of the Chaos Theory (816 words, 4 pages)

Chaos TheoryChaos Theory is a mix between science and math. It is a study of surprises, nonlinear equations and the unpredictable. Chaos Theory is all about the unexpected, what cannot be predicted or controlled. I chose this topic because I want to go into classical mythology for my career so ... Read More

An Overview of Fractals (1162 words, 3 pages)

Fractals The history of fractals traces a path from chiefly theoretical studiesto modern applications in computer graphics, with several notable peoplecontributing canonical fractal forms along the way. According to Pickover,the mathematics behind fractals began to take shape in the 17th centurywhen the mathematician and philosopher Gottfried Leibniz pondered self-similarity. In ... Read More

An Explanation of the Reasons Why I Like Math (302 words, 1 pages)

Like about math Many people who write numbers or work on math problems would eitherhate math or they would like it. There are people who work with well withnumbers and can explain how they got to a certain answer and some whocannot work with algorithms. Math is really important because ... Read More

The Different Types of Centers in Geometry (429 words, 2 pages)

Geometry Centers Essay There are four different types of centers. The centroid, thecircumcenter, the orthocenter, and the incenter. The centroid of a triangle is constructed by taking any triangle andconnecting the midpoint of each side of the triangle to the oppositevertex. The line segment created by connecting these points is ... Read More

A Lab to Determine the Point of Intersection and Create a Position versus Time Graph (759 words, 10 pages)

IntroductionThe lab was a test of the students ability to create a position versus time graph, then algebraically find a point of intersection. Then these calculations were tested by having the two cars physically drive past one another. From this experiment, students expected to learn how to use the velocity ... Read More

A Lab Experiment to Learn About the Various Methods to Calculate the Vectors and Apply Them (898 words, 8 pages)

ObjectiveThe objective of this lab is to learn about the various methods to calculate the vectors and then apply them. Similar to the definition in lecture, we learnt in lab that vectors have both magnitude and direction. In this lab experiment, we learnt how to use Pythagorean Theorem, the parallelogram ... Read More

The Algebra Project in the Book Radical Equations by Robert P. Moses (296 words, 1 pages)

Radical EquationsThe book Radical Equations was an interesting story about Robert P. Moses and his journey through the civil rights movement and how he started the Algebra Project. During the Civil Rights Movement, he played an important role in Liberty, Mississippi where he helped the first Blacks, in the history ... Read More

The Need for the United States to Change to the Metric System (621 words, 2 pages)

The metric system was developed in France in 1799, due to the political turmoil between France and Great Britain. The Metric System is based on a decimal system, meaning by powers of ten. The French made the system decimal because it is easier to convert decimals than fractions. Today the ... Read More

The Characteristics and Uses of Conic Sections, a Type of Geometric Curve (489 words, 2 pages)

Conic SectionsA conic section is a geometric curve formed by cutting a cone. The intersection between a plane and a circular cone forms four different types of curves a circle, ellipse, parabola, or a hyperbola. Conic Sections were first discovered in 200 BC when Apollonius of Perga named and studied ... Read More

An Analysis of George Polya’s Four Point Methods of Solving Mathematical Problems (1224 words, 4 pages)

In 1945 George Polya wrote a book at Princeton University called How to Solve It. In his book, Polya was able to come up with a simple and easy way to find the answers to complicated math problems. Polyas plan for solving mathematical problems involved four key points. First, you ... Read More

The Study of the Effectiveness of the Solve It Method for Students with Difficulty in Solving Math Problems (1101 words, 5 pages)

Krawec J. Huang J. Montague M. Kressler B. and Melia de Alba A. (2012). Hammill Institute on Disabilities. The Effects of Cognitive Strategy Instruction on Knowledge of Math Problem-Solving Processes of Middle School Students With Learning Disabilities. Learning Disability Quarterly 36, Issue 2, 8092.IntroductionSuccess in math problem solving is highly ... Read More

A Study on the Difference of a Taken Measurement from the True Value (580 words, 4 pages)

IntroductionUncertainty is how far a taken measurement could differ from the true value. For instance, uncertainty can be seen in a task even as simple as measuring the mass of a small sphere. If calipers are used, the marks on the calipers may not be perfectly spaced or misaligned. Human ... Read More

The Square of Hypotenuse is Equal to the Sum of the Squares of the Other Two Sides – Knowledge or Belief? (339 words, 1 pages)

I would argue that the proposition that the square of the hypotenuse is equal to the sum of the squares of the other two sides is in fact knowledge that is a justified, true belief. The Pythagorean Theorem provides us with empirical evidence to prove its justification. If the triangle ... Read More

The Early Life of Blaise Pascal (594 words, 2 pages)

My name is Blaise Pascal and I was born on the nineteenth of June 1623, in Clermont-Ferrand, France. In my childhood I was taught by my beloved father, Etienne Pascal. My father was known as a local judge and member of the "Noblesse de Robe". My father was very interested ... Read More

An Experiment Testing the Mathematics of Vector Addition Using a Force Table (2241 words, 15 pages)

ObjectiveIn Lab 6, we tested the mathematics of Vector Addition. We did so by using a force table in which we hung weights on strings positioned at various places on a circle and figured out what weights we needed to use in order to keep the ring in which all ... Read More

Game Theory: An Overview of Payoff Matrix (760 words, 3 pages)

Game theory is defined as the science of strategy. In decision making situations, individuals are faced with conflicting and cooperative methods of strategy against rational opponents in which different combinations of strategies result in different payouts (Dixit, Nalebluff). Payouts differ depending on the type of game being played, however, they ... Read More

Developing a Mathematical Model That Predicts the Population Growth in Greenland Between the Years 2015 and 2035 by Using a Recursion Equation (876 words, 7 pages)

I am attempting to develop a mathematical model that predicts the population growth in Greenland between the years 2015 and 2035 by using a recursion equation. To do thisAssume the data used from CIA Factbook is correct. Explanation This assumption is reasonable because the CIA Factbook is a government generate ... Read More

The Life and Work of Pierre De Fermat (697 words, 4 pages)

Born to a rich French merchant in the early years of the 17th century (though the exact year is a subject of dispute), Pierre de Fermat would go on to help shape the field of mathematics for centuries to come. Though not much is known about his early life, historians ... Read More

Obtaining Meaningful Infnite Sums of Divergent Series (763 words, 5 pages)

The sum in question is the sum of all the positive integers 1 2 3 4 5 6 7 ..... Lets call this sum S, just for fun.At first glance, this series is divergent, so it appears to simply tend towards .There are a few ways to prove there is ... Read More

An Essay Assessing Indeterminate Forms of Expression (592 words, 3 pages)

Assessing Indeterminate FormsIn order to assess an expression such as 0, one must first understand that this expression independently in the absence of context is utterly meaningless. This is because, as you know, infinity is not a number, and for that matter, neither is zero in this instance, so the ... Read More

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