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Your search returned over 400 essays for "Mathematics"
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Ontology of Mathematics - An ontological theorist generally begins his discussion with a preconceived notion of what kind of thing an object will turn out to be. Instead, we will here begin with a Thomassonian approach to the ontology of mathematics. First, let us consider what happens when we rst come to determine a mathematical proposition (which I will use synonymously with 'mathematical entitty'). A mathematician does not feel as though he creates mathematical theories. Pythagoras can hardly be thought to have created the claim that a2 + b2 = c2....   [tags: Mathematics]
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1511 words
(4.3 pages)
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Mathematics in Neuropsychology - “Neuropsychology is a specialty that applies the principles of assessment and intervention based upon the scientific study of human behavior as it relates to normal and abnormal functioning of the central nervous system.” (The American Psychological Association) In more basic terms, the field of neuropsychology relies heavily on the study of the central nervous system combined with the study of the behavior of an individual. A type of psychology career, it involves using computational methods and mathematics, “particularly statistics, as a professional tool to quantify and analyze their scientific findings.” Neuropsychologists also work towards diagnosing any potential mental impairments and administer certain tests that could explain any implications in memory or anything that might exist as a disruption in a person‘s daily lifestyle, activities and problem solving techniques....   [tags: Mathematics]
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1304 words
(3.7 pages)
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Developing Mathematics Learning Skills - Mathematics is a subject that many people fear and complain is too difficult to learn. The truth, however, is everyone is capable of learning mathematics, even complicated mathematics. They simply need to know the proper method of learning. Mathematics is different from other subjects. It is more than rote memorization. Developing learning skills is vital to learning mathematics. Study skills specific to the subject are required, as is developing problem solving skills and learning to properly deal with learning stresses....   [tags: Mathematics] 914 words
(2.6 pages)
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Introduction to Mathematics Glossary of Terms - Introduction to mathematics glossary of terms: In glossary all intend mathematical terms can be substantiate in plain language. In this mathematics glossary of terms is formulated in response to requests from teachers and others during the national curriculum consultation. . Mathematics glossary of terms is always incomprehensible even before they get heavy into the Greek symbols. Now we are learned in this topic about mathematics glossary of terms. Some terms of mathematics glossary of terms: * Absolute value * Acute angle * Acute triangle * Additive identity * Additive inverse * Adjacent angles * Angle * Arc * Area * Associative property of addition * Associative property of multiplication * Average * axis of symmetry * Base * Bisect * Box and whisker plot * Cartesian coordinate * Central angle * Chord Circle * Circumference * Coefficient * Collinear * Combination * Common factor * Common multiple * Commutative property of addition * Commutative property of multiplication * Complementary angles * Composite number * Cone * Congruent * Constant * Coordinate plan * Coplanar * Counting number * Counting principle * Cross product * Cube * Cylinder * Data * Decimal number * Degree * Denominator * Dependent events * Diagonal * Diameter * Difference * Digit * Distributive property * Dividend * Divisor * Ellipse * Equation * Equilateral triangle * Equivalent equations * Equivalent fractions * Error of measurement * Evaluate * Even number * Event * Exponent * Equivalent fractions * Factor * Fraction * Frequency * Frequency table * Factorial * Face * Formula * Graph * Greatest common factor (GCF) * Horizontal * Hypotenuse * Identity property of addition * Identity property of multiplication * Improper fraction * Independent events * Interpolation * Intersecting lines * Inverse * Inverse operations * Irrational number * Inequality * Infinity * Inscribed angle * Inscribed polygon * Integers * Intercept * Intercepted arc * Isosceles triangle * Least common denominator * least common multiple * Like fractions * Line * Line of symmetry * Line segment * Locus * Logic * Lowest terms * Matrix * Magnitude * Major axis * Multiplicative identity * Midpoint * Natural logarithm * Negative number * Natural numbers * Octagon * Obtuse angle * Odd function * Ordered pair * Parallel * Parabola * Parallelogram * Perfect number * Quadratic equation * Quadratic formula * Quadrilateral * Rational number * Reflexive property * Right circular cone * Scalar * Scalene triangle * Terminating decimal * Transitive property * Union * Variable * Whole numbers * X-intercept * Y-intercept * Zero * Zero property of multiplication Tables for mathematics glossary of terms and definitions: mathematics glossary of terms Definition Example binomial An algebraic expression consisting of two terms....   [tags: Mathematics ] 944 words
(2.7 pages)
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Mathematics in Everyday Life - Mathematics is possibly one of the most underappreciated sciences. It everywhere in our lives, mathematics runs our computers, flies our aircraft, and protects our information. But for such a major part of our lives, very few people can say that they know how it is done, how the RSA encryption protects their e-mail, or even that 21 squared is 441 without going into tedious mental calculations or reaching for their calculator. Contrary to popular belief, mathematics has a wide range of useful applications....   [tags: Mathematics] 1449 words
(4.1 pages)
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Egyptian Mathematics - The Egyptians are one of the earliest known and most well documented people to inhabit the Earth. They were one of the first people to respond to practical needs within agriculture, business, and industry. Moreover, archaeological and historical artifacts suggest that the Egyptians were among the first to develop the study of mathematics. This paper will discuss the development of mathematics in ancient Egypt, focusing on the use of hieroglyphs, the decimal system, and hieratic writing and numerals to demonstrate that the Egyptians made notable contributions to modern day understandings of mathematics....   [tags: Mathematics] 656 words
(1.9 pages)
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MATHEMATICS STUDENTS’ PERCEPTIONS TOWARDS PROGRAMMING - Abstract. This paper presents a result of preliminary study conducted to measure Mathematics students' perceptions towards programming, and the activities of programming in general. Sample group were students who were currently pursuing their second year degree in Mathematics with Computer Graphics (MCG) programme, who took Computer Interface Programming (CIP) course during their first semester in their current academic year. The study was conducted after a realisation that the students were reluctant in attempting programming problems in their coursework that caused a large drop in their assessments marks....   [tags: Mathematics ]
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2080 words
(5.9 pages)
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Sir Isaac Newton: A Pioneer in Mathematics - Many consider Sir Isaac Newton to be a one of the most crucial and renowned scientist’s period. Newton’s enlarged desire for knowledge and experimentation resulted in much of his findings. His various works in math, science, and theology are the foundation of their respectable fields. He’s responsible for different laws of gravity, motion and nature of light. For the subject of mathematics; he set the ground work for what we know today as calculus (which was diverted from work done by John Wallis)....   [tags: Mathematics]
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905 words
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Mathematics and Science: My Favorite Subjects - My pedestal quality lies in the area of mathematics. It polishes my academic armor and sharpens my sword of educational merit. Mathematics is the backbone of my academic figure. Arithmetic and functions come like breathing and a math challenge is always appreciated; however, in no way is my prestige in math providing even the smallest level of interest for me. In fact, mathematics to me is comparable to a wrench in a toolbox: useful when needed, but otherwise useless. Nevertheless, my understanding of this subject provides exceptional resources to students in need....   [tags: Mathematics, career,] 535 words
(1.5 pages)
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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 empowering students’ mathematical experiences that fundamentally stems from a Piagetian genetic epistemological constructivist model that allow students to scaffold their learning through cognitive processes that are facilitated by teaching in a resource rich and collaborative environment (Thompson, 1994, p.69)....   [tags: mathematics, education, teaching] 537 words
(1.5 pages)
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Mathematics - ... This was brought about through: creative teaching methods, teachers making learning an active process and planning activities designed to encourage assimilation and accommodation to reach a state of equilibrium within my mathematics teachings (Orton 2004). Ofsted (2010:8) characterises good quality creative learning methods as: “questioning and challenging, making connections, envisaging what might be, exploring ideas and reflecting critically on ideas, actions and outcomes.” These key characteristics were embedded into my secondary education, through mathematics being made real with the subject incorporating problem solving and popular culture....   [tags: education, teaching, learning, national curriculum]
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1687 words
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Mathematics of Data Compression - Data Compression I. Introduction In the modern era known as the “Information Age,” forms of electronic information are steadily becoming more important. Unfortunately, maintenance of data requires valuable resources in storage and transmission, as even the presence of information in storage re-quires some power. However, some of the largest files are those that are in formats re-plete with repetition, and thus are larger than they need to be. The study of data compres-sion is the science which attempts to advance toward methods that can be applied to data in order to make it take up less space....   [tags: Mathematics Math] 2873 words
(8.2 pages)
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The Cartesian Doubt Experiment and Mathematics - The Cartesian Doubt Experiment and Mathematics ABSTRACT: The view that Descartes called mathematical propositions into doubt as he impugned all beliefs concerning common-sense ontology by assuming that all beliefs derive from perception seems to rest on the presupposition that the Cartesian problem of doubt concerning mathematics is an instance of the problem of doubt concerning existence of substances. I argue that the problem is not 'whether I am counting actual objects or empty images,' but 'whether I am counting what I count correctly.' Considering Descartes's early works, it is possible to see that for him, the proposition '2+3=5' and the argument 'I think, therefore I am,' were equally evident....   [tags: Mathematics Math Mathematical Papers] 3426 words
(9.8 pages)
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Usefullness of Mathematics in Everyday Life - Usefullness of Mathematics in Everyday Life G H Hardy once said that "Very little of mathematics is useful practically, and that little is comparatively dull". This statement is blatantly incorrect. Mathematics appears in virtually all fields in some form or another, and it is the only truly universal language. Even fields considered the opposite of mathematics, such as literature, are filled with different forms of math. Music is based very heavily on numbers, and even religions hold different numbers as sacred....   [tags: Math Mathematics Essays]
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1442 words
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Technology in the Mathematics Classroom - Technology in the Mathematics Classroom In today’s society, technology is advancing at such a rate that on can hardly stay ahead. Technology surrounds every person in civilization. To not use the technology that is readily available would be absurd. The same idea applies to technology in the classroom. Calculators, in particular, are becoming more readily available in the classroom, but technology should not stop there. Many inspiring computers programs, such as Geometer’s Sketchpad, Math Success, Fathom, Maple, and Minitab greatly enhance the mathematical teaching and learning that can take place in a classroom....   [tags: Math Mathematics Tech Technology]
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1129 words
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The History of Babylonian Mathematics - The History of Babylonian Mathematics The history of ancient Babylonia is really long, but this essay is a short and to the point summery of the entire history. The history of Babylonia started near the end of the year 2000 BC, when invaders were attacking the Sumer kingdom. Sumer was a powerful kingdom in the western part of Asia, and it some what occupied what would become Babylonia. After the kingdom of Sumer was destroyed the city-states of Larsa and Isin came into settle on the land once occupied by Sumer....   [tags: Babylonia Mathematics Education Essays] 1575 words
(4.5 pages)
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Mathematics - Mathematics In an attempt to express certain basic concepts of mathematics precisely, one should consider a handful of different accepted and developed conceptions. Pythagoras, in the Fifth Century B.C., believed that the ultimate elements of reality were numbers; therefore the explanation for the existence of any object could only be explained in number. Gottlob Frege stated, in an idea referred to as logicism, that mathematics could in some sense be reduced to logic. The views of Plato state that we "know" these rules of mathematics at the intuitive level rather than the conscious level....   [tags: Exploratory Essays Research Papers] 1081 words
(3.1 pages)
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Mathematics - Mathematics At the recent annual meeting of the Psychology of Mathematics Education--North America Chapter, held in Florida, Bob and I were playing Frisbee on the beach. The lure of the surf soon led us into thigh deep water where waves added to the fun we were having with the wind. We were throwing parallel to the shore but the waves were coming in at an angle so that a breaking wave first hit Bob before hitting me a few seconds later. Verbal communication was difficult due to the noise of the surf, so thumbs-up or down, applause, head-nodding or shaking, along with smiles or frowns took its place....   [tags: Personal Narrative Math Essays] 1553 words
(4.4 pages)
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Fractals: A New-Age Mathematics to Explain Our World - Fractals: A New-Age Mathematics to Explain Our World Fractal art is a new-age art that tantalizes the eyes and mind with patterns, shapes, colors, and abstract imagery. Artists have once again found a way to harness the abstractedness of mathematics and integrate it into their work. So where does this new art form of fractal design stem from. The reality is that fractals themselves are relatively young in the mathematical world. Of course since the beginning of art and history and mathematics, self-similar objects have existed and been intriguing to the human mind....   [tags: Fractals Mathematics Math Papers]
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1852 words
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Safety of Online Shopping Through Mathematics - Safety of Online Shopping Through Mathematics The easy and convenient way of shopping from the Internet attracts customers from all over the world to shop on-line. Anyone can browse the millions of websites, like Amazon.com and Ebay.com, that sell a variety of items or hold on-line auctions, as long as they have Internet access. Most big chain stores in the United States have on-line stores that sell the items they have in the stores for the convenience of lazy shoppers. However, there are risks that shopper should consider before they decide to buy from a site....   [tags: Mathematics Math Internet Shopping Essays Papers]
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1399 words
(4 pages)
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Reflexive Substantion of an One-Way Ascendancy of Mathematics over Ethics - Reflexive Substantion of an One-Way Ascendancy of Mathematics over Ethics ABSTRACT: Russell and Popper are concordant with Plato with respect to the independence of mathematics upon the sensations. Beth shares the opinion of the complete independence between the world of science and mathematics and that of psychology. Essenin-Vol'pin's opinion is of an ascendance of ethics and jurisprudence over mathematics. For the first time, the position of Plato, Russell, and Popper are substantiated in this paper through Hegel's reflexive natural scientific method....   [tags: Mathematics Math Papers]
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2412 words
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Mathematical and Musical Harmony - For most people, mathematics is an unsolvable puzzle characterized by the impression of numbers and calculations taught in school. It is often associated with feelings of rejection and disinterest. To the general population mathematics appears to be to be strictly rational, abstract, cold and soulless. Music, however, is involved with emotion, with feelings, and with life. It exists in all daily routines. Everyone has sung a song, pressed a key on a piano, or blown into a flute, and therefore, in some sense, made music....   [tags: Mathematics]
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1296 words
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Fractals: A Mathematical Description of the World Around Us - Fractals, a Mathematical Description of the World Around us In being characterized with fractional dimensions, Fractals are considered to be a new division of math and art, which is perhaps why the common man recognizes them as nice-looking and appealing pictures that are valuable as background on computer screens and art patterns. But they are more meaningfully understood by way of the recognition that many of nature’s physical systems and a lot of human works of art are not standard geometry forms....   [tags: Mathematics ]
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1677 words
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Gender and Mathematics - Mathematics is acknowledged as a hard subject. People who are good at it are considered to belong to a sort of elite. Usually to be “accepted” in this elite you have to fulfill some requirements and most of them are related with a specific gender. “Math is a God’s gift for boys.” This has been the perception of society for a long time. The majority thinks that the nature of mathematics goes along mostly with masculine attributes, thus, males are more focused on it. Therefore, according to these people boys by default get to be better in math, with girls being excluded from any kind of decent relation with this field of study....   [tags: Gender Studies]
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941 words
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Mathematics and Art - Mathematics and art are two areas of knowledge that demonstrate different degrees of interaction between critical and creative thinking. Whether considering mathematics or art, creative thinking evaluates a new or original idea containing some degree of value. Critical thinking examines assumptions and challenges a current belief or theory that has previously assumed to be true. Although general assumptions and creativity may be considered separately when considering extreme examples of concrete ideas and abstract ideas, the interplay of critical and creative thinking is one method in which new and validated knowledge is attained....   [tags: Logic, Creativity, Philosophy] 1590 words
(4.5 pages)
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Teaching Mathematics - When teaching mathematics to children the teacher’s enthusiasm can determine whether or not the child's math experience is negative or positive. For instance if you do not like math chances are, it will show up in the activities that you prepare for the child, as well as the way you go about a question because the children will sense your frustration that you have for math. If a teacher likes math on the other hand the activities will be well thought out, and the children will be able to ask questions without having the feeling that the teacher is frustrated because they are giving off a positive attitude....   [tags: Math Education, teacher] 910 words
(2.6 pages)
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The Developement of Mathematics - Although the history of numbers is rather unknown and unlooked upon compared to the history of other subjects; we should learn of the development of numbers, from the basic number sense that some animals also possess to all the different numbers we have today. After all, it is because of numbers that we have progressed so far in science and it is because of science that we have all the wonderful inventions of today. From the far beginning, before counting, man only had a rudimentary “number sense”....   [tags: Math]
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1169 words
(3.3 pages)
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Mathematics - The Fencing Problem - Fencing Problem A farmer has exactly 1000 meters of fencing and wants to fence of a plot of level land. She is not concerned about the shape of the plot but it must have a perimeter of 1000 m. She wishes to fence of a plot of land that contains the maximum area. I am going to investigate which shape is best for this and why. I am going to start by investigating the different rectangles; all that have a perimeter of 1000 meters. Below are 2 rectangles (not drawn to scale) showing how different shapes with the same perimeter can have different areas....   [tags: Math Coursework Mathematics] 1293 words
(3.7 pages)
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The Fencing Problem - Mathematics - The Fencing Problem Introduction ============ I have been given 1000 meters of fencing and my aim is to find out the maximum area inside. ====================================================================== Prediction ---------- I would predict that the more sides the shape has, then possibly the bigger the area it will have, although I have nothing to base this on, it will be what I am about to investigate. Shapes: I am going to start with the rectangle, I think this is a good starting block because I am able to vary the widths and lengths to see which has the bigger area....   [tags: Math Coursework Mathematics] 890 words
(2.5 pages)
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Usefulness of Mathematics Education - Usefulness of Mathematics Education There has been much discussion over the years about the usefulness of mathematical studies. Everyone seems to have a different viewpoint on the issue. Some believe that mathematics has little use in the working world and so is not a subject that should be taught at higher levels in secondary school. Others argue that mathematics does serve a profound purpose, albeit one that is subtle and not obvious in the vocational world. G. H. Hardy and Underwood Dudley, two great mathematicians of the twentieth century, have differing views, and our current Secretary of Education Richard Riley has his thoughts as well....   [tags: Math Mathematical Jobs Essays]
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1347 words
(3.8 pages)
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Promotion and Retention of Women in Mathematics - Promotion and Retention of Women in Mathematics How do we interest and retain more women in the field of mathematics. "Women now make up nearly half the undergraduate math majors in the U.S. (1993 Annual Survey of the American Mathematical Society and the Mathematical association of America); yet in graduate math programs, only about one-quarter of the American students are women" (Adhikari & Nolan, 1997, p. 17). For women who choose SME (Science, Mathematics, Engineering) majors, persistence rates in the major are significantly lower than that of male peers....   [tags: Mathematical Careers Education Essays]
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3597 words
(10.3 pages)
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The Nature of Mathematics - The 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 the possible relationships among abstractions without concern for whether those abstractions have counterparts in the real world....   [tags: Papers] 1019 words
(2.9 pages)
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Understanding Mathematics - 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 three basic planes on which the process of understanding mathematics takes place....   [tags: Math History Learning Papers]
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3992 words
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Women and Mathematics - Women and Mathematics Call me a bigot if you want but men are better mathematicians than women. Year after year, men score higher on the SAT’s, more men receive prestigious educations from the best technical schools in the nation, and men obtain more degrees, secure more jobs and get promoted more often. “The ETS report on students taking the SAT examinations indicates that males have traditionally scored 40-50 points higher on the mathematics section” (Women) “In 1996, California Institute of Technology’s enrollment was 75% male, Massachusetts Institute of Technology’s enrollment was 62% male, Renssalear Polytechnic Institute’s enrollment was 77% male, Rochester Institute of Technology’s enrollment was is 68% male, and Worchester Institute of Technology’s enrollment was 79% male” (Baron’s)....   [tags: Argumentative Persuasive Essays]
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903 words
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Philosophy in Mathematics - Philosophy in Mathematics Mathematics has contributed to the alteration of technology over many years. The most noticeable mathematical technology is the evolution of the abacus to the many variations of the calculator. Some people argue that the changes in technology have been for the better while others argue they have been for the worse. While this paper does not address specifically technology, this paper rather addresses influential persons in philosophy to the field of mathematics. In order to understand the impact of mathematics, this paper will delve into the three philosophers of the past who have contributed to this academic....   [tags: essays papers]
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3052 words
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Technology in Mathematics - Missing Works Cited Technology in Mathematics There are many different ideas as to how technology should be used in the mathematical classroom of today. There are those who believe that students will not learn as much if they use technology such as computers and calculators, and there are still others that believe this technology can benefit students if used in the proper way. After reading many articles on the use of technology in the mathematical classroom, I have to agree with NCTM’s Technology Principle, which states that “technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students’ learning” (Principles 24)....   [tags: Education School] 1096 words
(3.1 pages)
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Mathematics and Physics - Mathematics and Physics Having thoroughly enjoyed A level Mathematics and Physics, I would like to further my studies with a degree course that combines these subjects. My Further Mathematics at A level course has helped me develop the confidence to tackle more chalalaging questions analytically. Whilst A level Chemistry and Computing have increases my basic knowledge in related subjects and will definitely assist me in future studies. I am currently interested in Electrical and Electronic Engineering which I have pursued through my work experience in London....   [tags: College Admissions Essays] 302 words
(0.9 pages)
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Teaching Mathematics - Teaching Mathematics My interest in teaching mathematics came from the experience of helping others. I have always enjoyed learning math, and I realized that I also like helping other people learn math, especially those that struggle with it or those who have a disliking for it. As a teacher, I will be able to fulfill my aspirations; both my students and I will learn together and from one another. I feel that it is important for me, as a teacher, to stay current and deepen my understanding of mathematics and mathematics education....   [tags: Education Teaching Philosophy] 559 words
(1.6 pages)
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Euclid and Mathematics - Euclid and Mathematics Euclid is one of the most influential and best read mathematician of all time. His prize work, Elements, was the textbook of elementary geometry and logic up to the early twentieth century. For his work in the field, he is known as the father of geometry and is considered one of the great Greek mathematicians. Very little is known about the life of Euclid. Both the dates and places of his birth and death are unknown. It is believed that he was educated at Plato's academy in Athens and stayed there until he was invited by Ptolemy I to teach at his newly founded university in Alexandria....   [tags: Papers] 611 words
(1.7 pages)
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Indian Mathematics - Missing Works Cited Indian Mathematics Introduction: Indian, in particular, Hindu, mathematics has not been given the credit or recognition that it deserves. Many of the foundational concepts used in all mathematics were first discovered by the Hindu Indians. This paper will discuss many of these concepts and how they were used in the fifth through the eighth centuries. Apart from direct testimony on the point, the literature of the Hindus furnishes unmistakable evidence to prove that the ancient Hindus possessed astonishing power of memory and concentration of thought....   [tags: India Math Education] 1455 words
(4.2 pages)
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Mathematics Investigation - 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....   [tags: Papers] 949 words
(2.7 pages)
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Smith Report on Teaching Mathematics - Briefing paper explaining the changes which have been made to Maths education in England in response to the Smith Report. Introduction: The purpose behind this briefing paper is to provide the Secretary of State for Education with an idea as to how the Smith Report, 2004 “Making Mathematics Count” has changed Maths education in England. It is important that the Secretary of State for Education to understand how important the Smith Report has been to the advancement of Maths education and what recommendations have not yet been implemented....   [tags: Education Math]
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2338 words
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Writing in Mathematics Seminar - Mathematics is different from some other disciplines such as art and music in that it builds upon itself. It has traditionally been based on a series of axioms and theorems derived from these axioms, from which more theorems can be derived. Therefore, when an essay asks us to eliminate a concept fundamental to mathematics, it is difficult to make a choice since each concept has its merits and is necessary for understanding concepts that build upon it. This essay, although not feasible to implement in the real world, accomplishes the goals of a Writing in Mathematics seminar, which are to encourage students to think creatively about mathematics, increase the students’ skills in writing effective arguments, and show the students that there is far more to mathematics than what was taught in high school....   [tags: higher Education, math, higher learning] 830 words
(2.4 pages)
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Information about Mathematics - Research on and information about mathematics and the learning of mathematics has evolved over the last one hundred years. In the first half of the 20th century much of the focus was on computational approaches such as drill and practice and incidental learning (Brownell, 1947; Thorndike, 1924). This emphasis can certainly be attributed to the lack of technology available along with the needs of society for efficient computation (Jones et al., 2002). The development of the new math in the second half of the 20th century was a positional change for mathematics educators and researchers....   [tags: Education, Vygotsky, Lesh, Dienes, math] 1064 words
(3 pages)
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Important Aspects of Teaching Mathematics - Teaching mathematics has evolved from the traditional instrumentalist view where the focus is on knowledge mathematical facts, rules and methods as independent concepts, to the more contemporary constructivist approach which focuses on building on prior knowledge and experiences incorporating mathematical facts, rules and methods to problem solve and investigate new mathematical concepts. This will in turn, enable students to apply concepts in real life situations. Teaching thematically is an approach which allows concepts to be applied to real life situations....   [tags: math Education, math, teachers]
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1430 words
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The Benefits of Learning Mathematics - When I graduated from high school, forty years ago, I had no idea that mathematics would play such a large role in my future. Like most people learning mathematics, I continue to learn until it became too hard, which made me lose interest. Failure or near failure is one way to put a stop to learning a subject, and leave a lasting impression not worth repeating. Mathematics courses, being compulsory, are designed to cover topics. One by one, the topics need not be important or of immediate use, but altogether or cumulatively, the topics provide or point to a skill, a mastery of mathematics....   [tags: Math Education]
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929 words
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The History of Mathematics in Africa - The history of mathematics has its roots on the African continent. The oldest mathematical object was found in Swaziland Africa. The oldest example of arithmetic was found in Zaire. The 4000 year old, Moscow papyrus, contains geometry, from the Middle Kingdom of Egypt, Egypt was the cradle of mathematics. The great Greek mathematicians, including Pythagoras, Thales, and Exodus all acquired much of their mathematics from Egypt, including the notion of zero. This paper will discuss a brief history of mathematics in Africa....   [tags: Math ]
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1439 words
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Drawing Conclusions: Ethics and Mathematics - When I was in my 1st year of high school, I decided to join the Debate Team of my school because it was one of the extra-curricular activities that really intrigued me. Being a new member, a lot of the methods the veterans of the team used in their speeches surprised me. Before, I thought that debate mostly involved insulting one’s opponent and making him seem stupid. However, I was proven very wrong as that not only fail to provide any substantial argument that would prove any point, but was also banned and could lead to a loss....   [tags: Logic] 1302 words
(3.7 pages)
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The Integration of Literature and Mathematics in the Classroom - Since the 1800s, students have gone to school with the thought of learning reading, writing, and arithmetic individually, but recently have been able to learn them concurrently. How is this so. By combining changes in the classroom environment, instructional methods, technology, and methods of assessment, teachers are beginning to find more and more ways of integrating literature and mathematics together in the classroom. Prior to integrating literature in mathematics class, the traditional math lesson involved the teacher explaining math examples in the classroom with students taking notes and regurgitating the same procedure on homework problems (Shults, 2008)....   [tags: Education, teaching, teachers]
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871 words
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Alice in Wonderland and the Mathematics Involved - ... All they have are diagrams, lines, and symbols. The subject of math like the smile of the Cheshire Cat has started to disappear more and more through history. Math is becoming more and more without content just like when the body of the cat disappears and Alice is left to stare at a grin, rendering a simple variable that is left over. The absurdity of symbolic algebra is revealed in the chapter “Advice from a Caterpillar.” Alice has to eat the right amount of each side of the mushroom, the hookah-smoking caterpillar sits on, until she goes back to her original shape and size....   [tags: Lewis Carroll, rational, math, language, limits]
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The Outlook for Girls In Engineering and Mathematics - areas of science, technology, engineering, and mathematics employers are not getting enough women (Pozniak). High school girls only represent 17 percent of computer science Advance Placement (AP) test takers (O'Shea). The most significant group of minorities who are behind in earning computer technology degrees and working in science and mathematical professions are women. “Historically, women’s low representation in science and engineering was said to be due in large part of their lack of ability, interest, or both” (Horning 30)....   [tags: Gender Issues]
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The Progression of Mathematics in School - ... With that in mind, elementary mathematics could be considered the most important type of math, despite its simplicity. The end of this simplicity, algebra, is where a student’s math career can take off or plummet. The idea of letters being incorporated into the numerical world is radical and frustrating. The concept of a symbol representing an unknown baffles some students; therefore, different levels of math courses are offered once algebra is introduced. The lower classes will monotonously drill the basics, like order of operations, while the others discover geometry and trigonometry—that is, after they are taught to write “5n” instead of “n5.” Algebra is the math in which the first grumbles of, “Why do we have to learn this?” are heard....   [tags: Arithmetic, Algebra, Physics, Calculus] 850 words
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How to Supplement a Mathematics Textbook - A Geometry Chapter Mathematics textbooks are imperative to students’ survival in a math class. Their importance centers on enhancing students’ learning potential, defining the curriculum for that class/grade, and establishing instructional guidelines that lead teachers and students to the content goals or standards of the subject (Lester & Cheek, 1997). Every chapter in a math textbook highlights the different concepts and strategies that students need to successfully master in order to fully understand the material, pass their exams, and thrive in the classroom....   [tags: Education]
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Earthquakes: Application of Mathematics - Earthquakes: An Application of Mathematics The October 13, 2010 earthquake triggered a large buzz across Oklahoma University’s Norman campus, startling students walking to class or sitting in the middle of calculus. This magnitude 4.3 earthquake was 10 miles southeast of Norman and was felt as far north as Stillwater. To many students, the few seconds of shaking was unrecognizable as an earthquake because Oklahoma’s seismicity is not well known. In reality, Oklahoma experiences multiple earthquakes, almost daily; they are usually just not strong enough to be felt....   [tags: Geology]
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Triangulated Polygons - From the beginning of time there have been many anomalies in humanity. With the advancement of techniques, tools, and knowledge, our understanding of the world aspires to clarify our curiosities. The most beneficial to factors throughout our history would include our knowledge of numbers. Numbers hold great possibilities and bring forth answers to the most complex systems of life. Our mathematics is incorporated into basic aspects of our daily lives, allowing us to unlock our potentials and give keys to uncover the hidden secrets in the universe....   [tags: Mathematics]
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George Boole: Boolean Algebra and Sets Theory - The work of George Boole on mathematical logic that gave birth to the “Boolean Algebra” was the most important contribution to the development of computer technology. We are going to see briefly, how the prodigy George Boole came from an economically modest family, to change the way we relate with logic, influencing the concept of computing and processing information. We are also going to analyse how his work in algebra revolutionised the way we think and symbolise logic sets, making the binary code and logic relations as the fundamental tool in the evolution of computer systems and networks, from the first breakthrough of Boole's work, until many years later, when science identified that his mathematical set theories could in fact be the base of circuits operation and information storage and access, computer as we know it....   [tags: Mathematics ]
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Check Digit Schemes - In an age when information is increasingly transmitted through electronic formats, maintaining the accuracy of information is crucial. Whether this information is as simple as a book loaned by a library or as important as a banking account number, maintaining consistency during information transmission is critical to preventing monetary or organizational errors. To maintain consistency in various information transfers, check digit schemes based on number theory are used to dectect when errors occur....   [tags: Mathematics]
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The Natural Logarithmic Function - Introduction to logarithmic function calculator: In mathematics, the natural logarithmic function is defined as the function contains three parts, namely the number, the base and logarithm itself, Now the logarithmic calculator is the function of the logarithm function which means we are using to the base of ‘e’ where e is constant, base of ‘e’ value is given by [e = 2.718281828] . The logarithmic function calculator is represented as [y = log_b^(x).] We take the value of base of ‘e’ is approximately [ e = 2.71] ....   [tags: Mathematics] 721 words
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Math Solutions - Introduction to solve math solutions manual: The topic of “solve math solutions manual”, are seen below with some related problems and solutions. In mathematics, there are many chapters included such as number system, fraction, algebra, functions, trigonometry, integral, calculus, matrix, vector, geometry, graph etc. We can understand how to solve the problems using formulas and some operations. Let us discuss some important problems below in different concepts. Example problems – Solve math solutions manual Example problem 1 – Solve math solutions manual Simplify the expression: (5k2 - 8k + 6) + (3k2 + 5k - 4) - (2k2 + 6k + 8) Solution: In this problems, the given polynomials are (5k2 - 8k + 6) + (3k2 + 5k - 4) - (2k2 + 6k + 8) We need to simplify the given polynomial values First we need to arrange the given polynomial values = (5k2 - 8k + 6) + (3k2 + 5k - 4) - (2k2 + 6k + 8) Multiply the minus sign with the third parenthesis values = (5k2 - 8k + 6) + (3k2 + 5k - 4) + (- 2k2 - 6k - 8) = 5k2 - 8k + 6 + 3k2 + 5k – 4 - 2k2 - 6k - 8 = 5k2 - 8k + 6 + 3k2 + 5k – 4 - 2k2 - 6k – 8 = 5k2 + 3k2 - 2k2 - 8k + 5k - 6k + 6 – 4– 8 = (5k2 + 3k2 - 2k2) – (8k + 5k - 6k) + (6 – 4 – 8) Simplify the first parenthesis values = (6k2) – (8k + 5k - 6k) + (6 – 4 – 8) [5k2 + 3k2 - 2k2 = 6k2] Simplify the second parenthesis values = (6k2) – (7k) + (6 – 4 – 8) [8k + 5k - 6k = 7k] = (6k2) – (7k) + (-6) [6 – 4 – 8 = -6] = 6k2 -7k - 6 Answer: 6k2 -7k - 6 Example problem 2 – Solve math solutions manual If the value A = {21, 22, 23, 24, 25}, B = {25, 26, 27} and C = {27, 28, 29}, prove the distributive law....   [tags: Mathematics] 604 words
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Solving Math Solutions Manuals - Introduction to solving math solutions manuals: The topic of “solving math solutions manuals”, are discussed below with some related problems and solutions. In mathematics, there are many chapters included such as number system, fraction, algebra, functions, trigonometry, integral, calculus, matrix, vector, geometry, graph etc. We can understand how to solve the problems using formulas and some operations. We can solve the math problems easily without using any electronic devices. Let us discuss some important problems below in different concepts....   [tags: Mathematics] 619 words
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Mathematics Curriculum Research for K-6 Students - Mathematics Curriculum Research for K-6 Students An effective curriculum uses essential mathematical ideas in a way that students can understand how new concepts build on existing knowledge of concepts to learn to solve problems. Students must be taught a variety of concepts that are important to success in future grades without wasting their time. Curriculum issues discussed in this paper are (a) influence on mathematics content in the past 25 years, (b) development of mathematics curriculum, (c) mathematics that should be taught, and (d) problems with U.S....   [tags: Math Education, math]
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Calculator Use in Secondary Mathematics Classes - In 1972, Hewlett-Packard introduced the HP-35, the world’s first scientific pocket calculator at a cost of $395 (Hewlett-Packard, 2007). As advances in technology increase so has its accessibility. Currently, a scientific calculator will cost about $12. Additionally, anyone with internet access also has access not only to free scientific calculators but graphing calculators as well. Let’s not forget iPhones and all of the calculator apps that are ready for download. Needless to say calculators are readily available to students of all levels; however, many mathematics teachers have been unable to keep up with these rapid changes....   [tags: Education, math]
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Theoretical Stance on Learning and Teaching Mathematics - Research Essay: Theoretical Stance for the Teaching of Mathematics – As a pre-service teacher, my philosophy of teaching Mathematics is based on a constructivist, student-centred approach. I have learned, through my practicum experiences, as well as Mathematics Education courses, which advocate this approach, that it is the most effective way to teach Mathematics. This essay will explicitly describe my philosophy, as well as explain and justify the specific teaching and learning strategies related to this philosophy, supported by the research and literature....   [tags: Education, math, math teacher] 1489 words
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Critical Thinking in Mathematics and Natural Sciences - Knowledge is generated through the interaction of critical and creative thinking. As an IB student in high school we are faced with problems that involve us using our minds for critical thinking. It is hard for students to engage their creative thinking in times when it is critical. We are rarely encouraged to use our creative minds during problems. In this world there are logical answers that is probed using critical thinking. But what is the right situation to use critical thinking. Can critical and creative thinking be used and interact with each other in certain problems or maybe all problems....   [tags: Education ]
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My Philosophy of a Constructivist Mathematics Education - “Understanding is a 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 empowering a student’s mathematical experience that fundamentally stems from a Piagetian genetic epistemological constructivist model....   [tags: Education ] 1279 words
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The Impact of Technology on Assessment Practices in Mathematics - Introduction This essay aims to discuss the impact of Web Based Technology (WBT) on assessment practices in mathematics. WBT refers to and promotes what is known as Web Based Learning (WBL) where the learning is in hypertext format providing the learner with more exploration and interactivity capabilities. Studies in Hong Kong by Khalifa(2002) suggests that this is the most superior form of WBL in comparison to Distributive Passive Learning (DPL) which is used to deliver linear material such as word files and power point presentations....   [tags: ]
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The Rich Cost of Poor Mathematics Education - ... Increasingly, many public high schools, including the one I graduated from, are cutting out classes like consumer economics on the basis that the math contained therein is not advanced enough and that students should be more on par with other countries who are excelling in math and sciences; Algebra, Calculus, Chemistry and Physics to be more precise. All in all, this sounds like a great idea, however, even while learning advanced mathematics the average student in the U.S.A. has somehow managed to graduate without knowing how to balance a checkbook, still needs help from their parents when buying a new car or, sadly, groceries....   [tags: America, Economy, Education] 782 words
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Eight Grade Mathematics Lesson Plan - Objectives: * Eight Grade Mathematics State Curriculum Standards: o Standard 6.0 - Number Relationship and Computation- Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil or technology. o Standard 7.0 Processes of Mathematics- Students demonstrate the processes of mathematics by making connections and applying reasoning to solve problems and to communicate their findings. * Maryland Technology Literacy Standards for Students: o Standard 3.0 – Technology for Learning and Collaboration: Use a variety of technologies for learning and collaboration o Standard 4.0 – Technology for Communication and Expression: Use technology to communicate information and express ideas using various media formats o Standard 5.0 – Technology for Information Use and Management: Use technology to locate, evaluate, gather, and organize information and data....   [tags: Lesson Plan] 1455 words
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How Children Learn the Mathematics Concepts - Summary Children observe and interact with two-dimensional and three-dimensional objects through daily activities in the environment such as building blocks, books, balls or puzzles. Learning geometry is one of outcomes in Victorian Essential Learning Standards. Geometry offers an opportunity for students to engage in mathematical thinking that allows them to make conjectures. This report will reflect the lesson plan on four points: • Key mathematical ideas and skills. • Link to relevant curriculum documents and understanding of the learning sequence....   [tags: Math] 1309 words
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Technology in the Mathematics Classroom - Technology in the Mathematics Classroom While reading the NCTM summary on Technology, it is to my understanding that use of technology is at the teacher’s discretion. Therefore, the teacher is charged with the responsibility of preparing students before venturing into the field of technology. Essentially, students should be able to grasp and understand basic concepts and ideas, before intertwining computers or calculators into a lesson to further explore the concepts in said lesson. When visiting the U.S....   [tags: Computer Technology] 682 words
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Human Gender and Mathematics - Human Gender and Mathematics Is there a difference in the mathematical ability between men and women. Historians have no precise method of quantifying or comparing their individual accomplishments (Olsen). Not only in mathematics, but also in many other career areas in the past, women were looked upon as inferior to their male counterparts. Women were not encouraged to pursue a career in mathematics. Historically, women were seen working around the home, cleaning the house, taking care of the children, and cooking the food....   [tags: Argumentative Persuasive papers]
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Women's Contributions to Mathematics - Women's Contributions to Mathematics Women in the world of mathematics is a subject that people rarely hear about. The only time people do is if it’s a female math teacher. But what many do not know is that women have made extremely important contributions to the world of mathematics. Women have been documented to be involved in mathematics, since as early as the fifth century A.D. Women such as Hypatia, Maria Gaetana Agnesi, Sophie Germain, Emmy Noether, Ruth Moufang and Sun-Yung Alice Chang....   [tags: Papers] 2428 words
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The Issue of Experiment in Mathematics - The Issue of Experiment in Mathematics ABSTRACT: The issue of the status of mathematical knowledge a priori or a posteriori has been repeatedly considered by the philosophy of mathematics. At present, the development of computer technology and their enhancement of the everyday work of mathematicians have set a new light on the problem. It seems that a computer performs two main functions in mathematics: it carries out numerical calculations and it presents new areas of research. Thanks to cooperation with the computer, a mathematician can gather different data and facts concerning the issue of interest....   [tags: Math Philosophy Philosophical Papers]
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Technology in Mathematics Classrooms - Technology Views NCTM summarizes the technology principle by saying, “technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students’ learning.” I’m not sure that I agree with the entirety of this statement. Technology is important; it allows students to quickly make connections that would be lost without the speed and precision of computers. Technology also allows for thoughtless reproduction of facts already known. Imagine how long it would take to solve a college level mathematics problem without the aid of calculators for division, multiplication, exponents, and logarithms....   [tags: Education School] 893 words
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The Teachings of Mathematics Education in America - The Teachings of Mathematics Education in America Math educators in the United States should stress the understanding of the learners and teach them to process certain understanding to succeed in mathematics. The connection between math understanding and the reading of math problems should be raised in smaller grade levels so students have a better understand of math at younger ages. Yet it is not all the students’ part in learning the math, but also the educators’ part to teach the subject in an understanding manner using the curriculum and proper textbook....   [tags: miscellaneous] 997 words
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Mathematics as Paideia in Proclus - Mathematics as Paideia in Proclus ABSTRACT: I examine one aspect of the central role which mathematics plays in Proclus's ontology and epistemology, with particular reference to his Elements of Theology. I focus on his peculiar views about the ontological status of mathematical objects and the special faculties of the soul that are involved in understanding them. If they are merely abstract objects that are "stripped away" from sensible things, then they are unlikely to reorient the mind towards the intelligible realm, as envisioned by Plato in the Republic....   [tags: Philosophy Philosophical Essays]
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Art And Mathematics:Escher And Tessellations - Art And Mathematics:Escher And Tessellations On first thought, mathematics and art seem to be totally opposite fields of study with absolutely no connections. However, after careful consideration, the great degree of relation between these two subjects is amazing. Mathematics is the central ingredient in many artworks. Through the exploration of many artists and their works, common mathematical themes can be discovered. For instance, the art of tessellations, or tilings, relies on geometry....   [tags: Math Artistic Papers]
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A World Without Mathematics - According to teachers for as long as any can remember, one cannot survive in this world without mathematics, yet thousands in the United States alone cannot grasp mathematics, cannot learn mathematics because of “Dyscalculia” (also called Dyscalcula). Dyscalculia is a term meaning "specific learning disability in mathematics." People who suffer with a poor memory for all things mathematical have many other symptoms and characteristics. Taken as a whole, these coexisting conditions comprise what is termed as "the dyscalculia syndrome." Dyscalculia is an MLD (mathematics learning disability) that affects approximately ten percent of the US population, yet almost no one (shy of those diagnosed with the MLD) knows that it even exists....   [tags: essays research papers] 903 words
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Technology Use in the Mathematics Classroom - Technology Use in the Mathematics Classroom Technology is a growing field that affects every aspect of our everyday lives. When I look at centuries past, I am amazed at the technological advances this country has made. Just during my lifetime, computers, cell phones, digital cameras, and many other devices have become a huge part of everyday life. Not only is technology affecting every day life, but it is also making a huge impact on education, especially within the mathematic field. Computer programs are being created everyday to aid in the understanding of mathematical concepts....   [tags: Education School Technology] 1431 words
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Computers in the Mathematics Classroom - ?Calculators and computers are reshaping the mathematical landscape, and school mathematics should reflect those changes. (NCTM 24). My view of mathematics and geometry is that they go hand in hand. You have to know some algebraic procedures in order to be able to perform geometry problems. I never enjoyed Geometry in high school but now that I see it in a different prospective using GSP I really understand and enjoy it. I think that Geometry should be taught with software so the students can work with it hand in hand with the teacher and other students....   [tags: Math Technology Education]
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