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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]
:: 5 Works Cited |
1511 words (4.3 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 * A... [tags: Mathematics ] | 944 words (2.7 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... [tags: Mathematics]
:: 1 Works Cited |
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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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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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: Mathematics]
:: 42 Works Cited |
2941 words (8.4 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 ]
:: 8 Works Cited |
2080 words (5.9 pages) |
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Methods of Instruction for Teaching Mathematics
- Mention the word math and a considerable number of people are sure to express their aversion to the subject. To illustrate: Raytheon Corporation surveyed approximately 1,000 adulterants whether they would prefer to eat broccoli or to work on a problem in mathematics. The preponderance of the students picked broccoli. The terror of math encompasses into later life. According to research by the non-profit institute Change the Equation in 2010, nearly one-third of Americans would rather clean an unsanitary bathrooms than do a mathematics assignment.... [tags: Mathematics, Education, Schools]
:: 13 Works Cited |
1881 words (5.4 pages) |
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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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Comparison and Contrast of Mathematics in India and China
- ... The Chinese was to go on to achieve legendary sea expeditions, such as Zheng He’s, with possibilities brought by their mathematical developments. Classical period of Indian mathematics lasted until the 12th century. India saw another burst in mathematical development with Madhava of Sangamagrama (1340 – 1425 CE). Credited with the discovery of infinite series to approximate a range of trigonometric functions, Madhava’s works, and subsequent developments and further discoveries (1400 – 1600 CE) by the Kerala school of astronomy and mathematics, which he found, led to modern mathematical analysis.... [tags: mathematics, trigonometry, zero, numbers]
:: 4 Works Cited |
1652 words (4.7 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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Pythagoras and His Contributions to Modern Mathematics
- Pythagoras is truly a man unlike any other throughout history. Perhaps his greatest achievements are within the realm of mathematics; with his greatest known theory being the Pythagorean Theorem. His theory is so well known that even today it peaks the interests of many mathematicians, with more than 400 proofs being spawned off of his original theorem. Though his theorem is common knowledge in this modern age, his life still remains a mystery to most, similar to most pre-Socratic philosophers.... [tags: Mathematics, Biography, Pythagorean Theorem]
:: 2 Works Cited |
1194 words (3.4 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 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 equal... [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]
:: 4 Works Cited :: 1 Sources Cited |
1442 words (4.1 pages) |
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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]
:: 4 Works Cited :: 4 Sources Cited |
1129 words (3.2 pages) |
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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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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]
:: 4 Works Cited :: 2 Sources Cited |
1852 words (5.3 pages) |
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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]
:: 6 Works Cited :: 4 Sources Cited |
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]
:: 3 Works Cited |
2412 words (6.9 pages) |
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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 ]
:: 8 Works Cited |
1677 words (4.8 pages) |
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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]
:: 5 Works Cited |
1296 words (3.7 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]
:: 8 Works Cited |
1169 words (3.3 pages) |
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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]
:: 4 Works Cited |
941 words (2.7 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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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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Mathematics of Baking
- ... Referring back to the three function factors of baking (Moisture Value, Butter Content and Egg Content) we can use these same functions to find the ratios of ingredients. To find the ratios of each of these functions, you have to find the total value of each relative to the dryness value, for example: Moisture Value: 1.33/4.25 = 0.3129 Butter Content: 0.25/4.25=0.0588 Egg Content: 2/4.25=0.4706 For baking, if you have a high moistness value and butter content, relative to a low egg content, a coffee cake would be more suitable for these ratios.... [tags: ingredients, recipe, grams]
:: 5 Works Cited |
1292 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]
:: 2 Works Cited |
871 words (2.5 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]
:: 12 Works Cited |
3597 words (10.3 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]
:: 8 Works Cited |
2338 words (6.7 pages) |
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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 ]
:: 5 Works Cited |
1439 words (4.1 pages) |
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The Use of Mathematics in the Medical Field
- ... This may not seem too difficult, but in order to do this a nurse has to precisely calculate the drip rate of the machine so that the patient gets the required amount of medication in the time frame the doctor suggests. In contrast, a smaller bag of IV fluid may require instruction to give a patient five hundred milligrams every thirty minutes (Boyd). Before calculating the drip rate of the small bag, a nurse would have to convert the original cubic centimeters to milligrams. Just as important as conversions, ratios and proportions also play a huge role in the medical field.... [tags: x-rays, nurses, doctors, algebra]
:: 4 Works Cited |
868 words (2.5 pages) |
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Mathematics in the Primary School
- “A successful learner in mathematics involves constructing understanding through exploration, problem solving, discussion and practical experience and evidentially through a teacher who has a clear grasp of the underlying structure of the mathematics being taught” (Haylock 2010:3). Analysing my personal journey through mathematics will allow me to explore if my experiences have influenced my attitudes towards mathematics. Beginning by exploring the ways in which I was taught as a child, examining what framework was used for the teaching of mathematics, before continuing to explore if education reforms and learning strategies could have influenced by experiences.... [tags: education, teaching, learning, national curriculum]
:: 16 Works Cited |
1687 words (4.8 pages) |
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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]
:: 24 Works Cited |
1889 words (5.4 pages) |
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Alice in Wonderland and the Mathematics Involved
- The latter half of the nineteenth century became a time of evolution for different forms of mathematics such as symbolic algebra, Riemannian geometry, Boolean algebra , and quaternion calculus. "To him [Lewis Carroll], algebra was all about numbers," mathematician Keith Devlin explained. “But in the 19th century, people were developing all kinds of bizarre new algebras, where x times y was not equal to y times x.” (Devlin) While mathematicians knew that Carroll, a mathematician himself, was slipping numbers in to his classic, “Alice’s Adventures in Wonderland,” the hidden math came as a surprise to many others.... [tags: Lewis Carroll, rational, math, language, limits]
:: 4 Works Cited |
1188 words (3.4 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]
:: 5 Works Cited |
1430 words (4.1 pages) |
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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 (2.7 pages) |
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The Progression of Mathematics in School - The educational system grooms children to be productive members of society. First coined in the days of one-room schoolhouses, the phrase “reading, writing, and ‘rithmetic” has become a common mantra of education. The third of these three r’s is mathematics, an infamous subject. It is incumbent in many professions, from accountants and doctors to physicists and teachers. Both hated and adored by many, math is complex, essential, and encompasses hundreds of topics. These topics can be sorted into four basics categories: elementary math, algebra, physics, and calculus.... [tags: Arithmetic, Algebra, Physics, Calculus] | 850 words (2.4 pages) |
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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]
:: 7 Works Cited |
1313 words (3.8 pages) |
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Mathematics in Early Childhood Learning
- 1. Identify your beliefs: State what beliefs you hold about teaching and learning mathematics for each of the following: a) What learning mathematics is for in the early childhood environment b) The role of the teacher in children learning mathematics c) The role of the teacher in teaching mathematics to children d) Children and their learning of mathematics I believe that learning mathematics in the early childhood environment encourages and promotes yet another perspective for children to establish and build upon their developing views and ideals about the world.... [tags: Teaching Math to Children]
:: 17 Works Cited |
2147 words (6.1 pages) |
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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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Procedural Lessons: Children and Mathematics
- Mathematics has become a very large part of society today. From the moment children learn the basic principles of math to the day those children become working members of society, everyone has used mathematics at one point in their life. The crucial time for learning mathematics is during the childhood years when the concepts and principles of mathematics can be processed more easily. However, this time in life is also when the point in a person’s life where information has to be broken down to the very basics, as children don’t have an advanced capacity to understand as adults do.... [tags: teachers, conceptual teaching]
:: 6 Works Cited |
1452 words (4.1 pages) |
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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 hi... [tags: Mathematics ]
:: 6 Works Cited |
1927 words (5.5 pages) |
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The history of Fractions: Music and Mathematics
- As many of my elders have quoted, “You’ve got to know where you come from to know where you’re going,” or some variation of this saying. It rings true in the journey of life, love, and something that I consider my life and my love-- music, and the explosion of what some may loathe and some may love (I, the latter)--disco music. With a focus on music production, I must protect, justify, and enlighten myself on all things music, as well as others, and edify all within reasonable distance on the correlation of fractions and music, and just how a fraction, also known as a time signature when written on a music staff, has been responsible for the swing and groove of music, and the creation of an... [tags: egyptians, Pharaohs]
:: 4 Works Cited |
867 words (2.5 pages) |
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The Fundamental language of Mathematics
- ... The one requirement for successful decision making is logic. You can way up the pros, the cons, the possibilities, and the likelihoods. Choosing the best holiday to go on; whether or not you should go on a diet; if you should take a certain job; if it’s better value buying in bulk; and whether you really need 80 litres of Diet Coke. Or not. This ability to judge situations with intelligence stems from teachings provided throughout your education career, specifically from the framework of maths.... [tags: creative thinking, logic,digital age]
:: 10 Works Cited |
1140 words (3.3 pages) |
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Mathematics: The History of Pi
- ... Madhaven attended a charity school called Llanfechell. He then married twice and had two children. Initially he served at sea teaching mathematics in navigation. He continually applied his math in ways of calculating location at sea. This is what led him to his love of math and his future support in the finding of pi. William Jones was the first to use the greek letter for pi. Then came William Shanks. He was said to have calculated the first 707 digits of pi (Davis, 2014). Unfortunately, there were some errors in his calculations.... [tags: circle's circumference, radius, archimedes]
:: 11 Works Cited |
1056 words (3 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]
:: 7 Works Cited :: 5 Sources Cited |
1347 words (3.8 pages) |
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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 effect... [tags: higher Education, math, higher learning] | 830 words (2.4 pages) |
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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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1377 words (3.9 pages) |
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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 (2.1 pages) |
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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 (1.8 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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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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My Philosophy of Mathematics Teaching and Learning
- As a secondary subject, society often views mathematics a critical subject for students to learn in order to be successful. Often times, mathematics serves as a gatekeeper for higher learning and certain specific careers. Since the times of Plato, “mathematics was virtually the first thing everyone has to learn…common to all arts, science, and forms of thought” (Stinson, 2004). Plato argued that all students should learn arithmetic; the advanced mathematics was reserved for those that would serve as the “philosopher guardians” of the city (Stinson, 2004).... [tags: Education, Teachers, Students]
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1307 words (3.7 pages) |
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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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1062 words (3 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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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 (4.3 pages) |
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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: Critical Thinking Essays]
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1488 words (4.3 pages) |
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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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2011 words (5.7 pages) |
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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 (3.7 pages) |
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The Rich Cost of Poor Mathematics Education - America’s economy has been slowly crumbling before our very eyes. The nation has gone from a frivolous society to one of ever increasing frugality in the past decade alone. It has been said numerous times that the current generation of high school and college students may be compared to their predecessors who lived through the Great Depression. The focus on Algebra in high school is beneficial to a meager portion of the student population but, after college it is rarely used on the level in which it is taught.... [tags: America, Economy, Education] | 782 words (2.2 pages) |
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Mathematics and Music: The Collision of Science and Art
- ... The golden ratio is also found in the musical piece Reflections in the Water written by Debussy. In this piece the climax of the song sits at Phi, or approximately 61% into the song, and each sequences of keys is broken up into the intervals 34, 21, 13, and 8. In the construction of musical instruments, the company Pearl Drums has recently began to position the air vents on their drums in a position that satisfies the golden ratio. On top of making the drums aesthetically pleasing Pearl Drums believes it gives a greater bass response from the drums.... [tags: golden ration, fibonacci numbers, renaissance]
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1725 words (4.9 pages) |
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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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1142 words (3.3 pages) |
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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 (3.7 pages) |
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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 – Technol... [tags: Lesson Plan] | 1455 words (4.2 pages) |
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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 wa... [tags: Argumentative Persuasive Essays]
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903 words (2.6 pages) |
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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 (8.7 pages) |
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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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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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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 (2.8 pages) |
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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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2302 words (6.6 pages) |
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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 (4.1 pages) |
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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 (1.9 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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English Language as a Medium of Instruction for Science and Mathematics in Malaysia
- Nowadays English was an international language, it was widely used; it was not just for education purpose, but was gradually spread in other sectors, especially in the economic sector. On 6th May 2002, the then Prime Minister Tun Dr. Mahathir announced that government willing to reintroduce English as a medium of instruction. And on 11th May 2002, the then Education Minister Musa Mohamad established a bilingual system that set up with English used for teaching science and mathematics (Tan, 2005, p.... [tags: Language ]
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1247 words (3.6 pages) |
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The Selection and Preparation of Mathematics Teachers
- The Selection and Preparation of Mathematics Teachers Teacher preparation is a vital component of any educational system. Evidence from research shows that there is a 39% difference in the achievement levels of students who have most/least effective teachers. The federal government also recognizes the importance of the classroom teacher. The recent No Child Left Behind legislation emphasizes the role that teachers play in achievement. In order to meet the requirements of NCLB, states and universities will have to change the way that teachers are prepared.... [tags: Education Teaching Essays]
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2965 words (8.5 pages) |
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To what extent is truth different in mathematics, the arts, and ethics? - Humans constantly seek truth, though this is often elusive. To this end, when we seek the truth about the world around us, we are seeking knowledge, and use the Ways of Knowing as the input by which we gain knowledge; we organize it into the Areas of Knowledge to provide a framework for this knowledge. But, it is pertinent to question how truth, what it is and how it is acquired, varies between Areas of Knowledge. How truth differs for a Knower between three Areas of Knowledge, mathematics, the arts, and ethics, is the subject that will be evaluated by this paper.... [tags: Philosophy] | 1634 words (4.7 pages) |
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