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Mathematics Investigation In this report, I am going to investigate the Pythagorean Triple. The Pythagoras Theorem was invented by Pythagoras, a Greek mathematician and philosopher who lived in the 6th centaury BC. The Pythagoras Theorem only works in right-angled triangles, where there are three different lengthed sides, one short, one medium, and the other long. A Pythagorean Triple is when a set of numbers satisfy the condition: Shortest side2 + Medium side2 =Longest side2. Also all

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my interest in Mathematics. I learned to be more precise with my mathematical diction in order to better understand why certain things worked the way they did. I started wondering why there wasn't an equation used to model quartic,quintic and even higher degrees polynomials like the basic formula of the quadratic equation. Overwhelmed by questions I couldn't answer, I decided to shift gears and explore the world of science. As a result, in 8th grade, I took a course of Investigation In Science, where

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Investigating a Correlation Between Mathematics and English Literature Scores Aim: The aim of my investigation is to find out if there is any correlation between individualÂ’s scores in GCSE Mathematics and English Literature. Also, I aim to find out whether the correlation (if present) is negative or positive. Reason for Investigation: I have decided to investigate this as at my previous high school many of my teachers, but in particular my English literature teacher, thought that

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Understanding children’s mathematics involves more than understanding the relevant mathematical concepts from teacher’s point view. It also involves knowing about how children develop the concepts and how they get engaged when having a maths lesson. Some children dislike mathematics because they couldn’t understand the right way to solve a problem, leading them to lose interest and thinking that ‘I’m not going to do it because I just don’t know how to do it’. It is believed that when children’s literature

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Nature of Mathematics Mathematics relies on both logic and creativity, and it is pursued both for a variety of practical purposes and for its basic interest. The essence of mathematics lies in its beauty and its intellectual challenge. This essay is divided into three sections, which are patterns and relationships, mathematics, science and technology and mathematical inquiry. Firstly, Mathematics is the science of patterns and relationships. As a theoretical order, mathematics explores

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The History of Math Mathematics, study of relationships among quantities, magnitudes, and properties and of logical operations by which unknown quantities, magnitudes, and properties may be deduced. In the past, mathematics was regarded as the science of quantity, whether of magnitudes, as in geometry, or of numbers, as in arithmetic, or of the generalization of these two fields, as in algebra. Toward the middle of the 19th century, however, mathematics came to be regarded increasingly as the

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explanation of the structure of the physical world agrees with the phenomena observed in science, mathematics and nature. I will begin by showing the agreement between Leibniz and science. Second, I will show his agreement with mathematics. Lastly, and through use of the previous two arguments, I will show Leibniz's agreement with observations of nature. Throughout the history of science, investigations of physical objects have shown them to be divisible into portions of ever decreasing size. Biologists

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today with his theories. His works in math and art are still used today, being studied around the world; including this class. Without his basic theories of mathematics and logic, technology around the world may not have developed to where it is today. George Boole is one of the most influential people in terms of philosophy and mathematics, and his significance is hard to grasp because everything he has done contributes to so many things we use today. George Boole was born on November 2nd, 1815

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Criminology is the scientific study of criminal behavior. Math is used in many aspects of criminology and criminal investigations such as statistics, calculating trajectory, and the analysis of crime scene evidence. Statistics

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my writing

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entered online recorded lectures, and connected a mathematics learning support center during a multivariate calculus course. However, depend on some sooner study, the basic method a student used was relevant to their academic attainment, both in the multivariate calculus course, and in their level programme more widely. In the article, they define 3 distinctive learning resources that are popularly supplied to undergraduate students studying mathematics or fields with a huge accurate element: live lectures

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measure of the quality and quantity of connections that a new idea has with existing ideas. The greater the number of connections to a network of ideas, the better the understanding (Van de Walle, 2007, p.27).” My philosophy of a constructivist mathematics education At what point does a student, in all intents and purposes, experience something mathematical? Does it symbolise a student that can remember a formula, write down symbols, see a pattern or solve a problem? I believe in enriching and

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George Boole: The Genius George Boole was a British mathematician, and he is known as the inventor of Boolean Algebra. His theories combined the concepts of logic and mathematics, and hence he is known as the father of mathematical logic. This combination of mathematics and logic came to be known as Boolean algebra, and is the basis of digital electronic design, which is used in fields ranging from telephone switching to computer engineering. Because of the utilization of the concepts of Boolean

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Understanding Mathematics

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Understanding Mathematics This paper is an attempt to explain the structure of the process of understanding mathematical objects such as notions, definitions, theorems, or mathematical theories. Understanding is an indirect process of cognition which consists in grasping the sense of what is to be understood, showing itself in the ability to apply what is understood in other circumstances and situations. Thus understanding should be treated functionally: as acquiring sense. We can distinguish

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Carl Gustav Jacob Jacobi, sometimes called Karl, was a German mathematician in the 19th century. His importance and role in mathematics was his contribution to several functions, equations, and theories. He created several things in math that are named after him. He was most famous for his improvement on elliptic functions. Although Niels Henrik Abel first discovered the function, Jacobi has always been best known for his addition to his work and different things he discovered. Carl Gustav Jacob

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teacher assistant, self educated, the prodigy boy taught himself Latin, Italian, Greek, German and French, eventually opening his own school in 1834. His interest in mathematics grew then started to develop and he started to self educate in the subject, writing his first mathematical paper in 1838. He founded a new branch of mathematics called Invariant Theories, which late would inspire Albert Einstein. He also worked in Differential Equations, which are still used, and that earned him a Gold Medal

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modern number theory and was believed to be his most important work. Pierre de Fermat was considered to be one of the leading mathematicians of the first half of the 17th century and his discoveries assisted many mathematicians in numerous areas of mathematics. Fermat is not only called the founder of the modern theory of numbers, but made discoveries in analytic geometry, calculus, physics, and probability, contributing to various discoveries with his knowledge for centuries to come. Pierre de Fermat

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Is Stereotyping Contagious?

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Is Stereotyping Contagious? "Recent research indicates that the gap between male and female students' mathematics achievement is gradually beginning to diminish (Gutbezahl, 1995); however, female students are still underrepresented in advanced mathematics classes as well as in careers involving mathematics (Kerr,1994; Stage & Maple, 1996)" (Drzewiecki and Westberg 1). This should concern society including parents, teachers, and students. Carmen Keller is one that has explored the topic of a male

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logic came from the revolution of the sun, and how it was not a geocentric system, but actually a heliocentric system. His studies included partially definite results including mathematical analysis, astronomical examinations, and other constant investigations. This logic has maintained the concept of a round Earth because it has been proven with reason and logic, proving that some knowl... ... middle of paper ... ...s to be maintained in order to have a successful society. However, it is important

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Place value is an important foundational area of Mathematics that underpins the development of more complex skills, including addition and subtraction, decimals and multiplicative thinking (Dawson, 2015). Students do not always have the place value knowledge and skills to apply learning to more abstract contexts. Understanding base ten numbers is one of the most important mathematics topics taught in primary school, and yet it is also one of the most difficult to teach and learn. Base ten blocks

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Abstract—This paper is a report on the mathematics and the mathematicians of The Renaissance. During this time period, many significant advancements in mathematics occurred in many areas of mathematics, including algebra, trigonometry, and calculus. Similarly, it was during this time, due to the impending need to learn the mathematics of intricately complex and rather precise calculation, in which the abacist came into existence. Noteworthy as well are the many mathematicians who apported the mathematical

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