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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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 ]

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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]

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Why Is Mathematics Important For Mathematics?

- S. Gudder once wisely stated, “The essence of mathematics is not to make simple things complicated, but to make complicated things simple.” Many people have different views of mathematics and the role it plays in their life. There are some students who believe that learning mathematics is useless and is not a necessity for their major, and there are others who find math, arithmetic, and numbers easier to process. I find Gudder’s thoughts to be true based on my upbringings and recent experience in my Math 110 course....   [tags: Mathematics, Algebra, Pythagorean theorem]

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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]

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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]

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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]

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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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Mathematics Is An Arduous Journey

- Mathematics is an arduous journey. It is cruel and exhausting. Mathematics, by its very nature, threw me hard problems that stressed me out. I would spend hours, days, even months solving one. For example, I spent two weeks teaching myself the computing program—Mathematica, because I was curious to see the accurate phase portraits after I learned the techniques that enabled me to sketch phase portraits in my Ordinary Differential Equation class. Nevertheless, sometimes I could not find any solution even though I had worked on it for a long time....   [tags: Mathematics, Applied mathematics]

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Aristotle 's Contributions On Mathematics

- 6.1 Mathematical Objects and Truths Even though Aristotle’s contributions to mathematics are significantly important and lay a strong foundation in the study and view of the science, it is imperative to mention that Aristotle, in actuality, “never devoted a treatise to philosophy of mathematics” [5]. As aforementioned, even his books never truly leaned toward a specific philosophy on mathematics, but rather a form or manner in which to attempt to understand mathematics through certain truths. To better attempt to understand Aristotle’s view on mathematical truths, further inquiry will be made in regards to a fictionalist versus a literalist view point of mathematical objects....   [tags: Mathematics, Logic, Philosophy of mathematics]

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Mathematics : Mathematical Reasoning And Logic

- Introduction Mathematical reasoning that to nowadays represents more essential to said verbal reasoning, plays a fundamental role in the development of our life and the progress of humanity. Areas such as, physics, social sciences, management and computer science. But in computing, we need more of a particular branch of the so-called mathematics: discrete mathematics. Discrete mathematics has become popular thanks to their applications in computer science. Notations and concepts of discrete mathematics are used to study problems in algorithmic and programming....   [tags: Mathematics, Logic, Algorithm, Mathematical logic]

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The Attitudes Of Persons Not Pursuing Mathematics

- ... The mind supposedly comprises of innate components working in relation to each other and is biologically configured differently within people, where individual knowledge is nourished by external experience and promotes learning. Failure is supposed to be due to lack of innate intelligence or ability within mathematics education, a main problem in our philosophical society today. The public image or mental representation of mathematics begins by stereotyping mathematicians from their somewhat altered and obscure personalities....   [tags: Education, Mathematics, Teacher, Philosophy]

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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]

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Importance Of Mathematics, Science And Technology

- I believe that the growing role of mathematics, science and technology in modern life demands that we, for our active participation in society, personal satisfaction and our working development we should not only be able to read and write but also, have the skills and knowledge in these areas. Before doing the readings I thought that being scientific and mathematic literal was to be able to solve math and science problems. My opinion changed drastically after reading each article and book on my reference list....   [tags: Mathematics, Science, Scientific method]

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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,]

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Love With Dance And Mathematics

- Ever since I was merely five years old, I have always been in love with dance and mathematics. Math has always been my favorite subject in school, and my favorite time of the day has always been dance, where I can let my emotions out on the dance floor. Around high school, however, is when I determinately took notice that there is a possible connection between the work I perform in both of these areas. I realized that when I dance, I create shapes, patterns, angles and combinations, comparable to the ones I engender in mathematics....   [tags: Dance, Education, Mathematics, Teacher]

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Why Mathematics Is Important

- Why mathematics is important: Devlin believes that mathematics has four faces 1) Mathematics is a way to improve thinking as problem solving. 2) Mathematics is a way of knowing. 3) Mathematics is a way to improve creative medium. 4) Mathematics is applications. (Mann, 2005). Because mathematics has very important role in our life, teaching math in basic education is as important as any other subjects. Students should study math to help them how to solve problems and meet the practical needs such as collect, count, and process the data....   [tags: Problem solving, Mathematics, Education]

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Teaching Mathematics And Making The Students

- ... Then I give an example of the necessity of choosing a subset of a set by giving them everyday examples such as choosing a soup, a meal and a dessert form menu of many soup, meal and dessert options. This time I define a set with just four elements, and write all possible subsets with two elements. And we count them all, together, and find an answer while noting that in these choices the order of the elements in each choice does not matter. This is actually for preparing them for the next topic where the order will matter....   [tags: Problem solving, Mathematics, Education, Set]

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Theory Of Knowledge : Mathematics

- Kelsey Amadeo-Luyt Theory of Knowledge September 2, 2014 Prompt: To understand something you need to rely on your own experience and culture. Does that mean this it is impossible to have objective knowledge. As children we are immersed in our communities in which we are fed predisposed knowledge that has been passed down and developed within our communities or families for numerous generations. Not until we begin primary, or even secondary school do we start to formulate ideas and opinions of our own....   [tags: Logic, Mathematics, Axiom, Scientific method]

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History And Learning Of Mathematics

- ... The use of planned high-quality questioning in whole class teaching to promote higher order thinking (Coe, et al., 2014). Further to this Mercer (2003) discusses ‘Dialogic talk’ in whole class quality dialog to encourage all children to engage, and access higher order thinking skills (Bloom, 1956). Through this dialogic talk, children can self-assess how their individual learning is progressing (Mercer, 2003) which negates an idea that success in maths is getting a lot of answers right (NAMA, 2015)....   [tags: Education, Leadership, Mathematics, New Math]

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Comparison and Contrast of Mathematics in India and China

- The period 213 BCE to 1425 CE, are characterized by the beginning of a gradual ceasing of the isolation of China and India to the outside world. Due to natural boundaries (mountains, seas and deserts) providing the isolation, mathematics in India and China were almost developed independently during the ancient era. It was the Silk Road, began during the Han dynasty (206 BCE – 220 CE), that opened up communication between the West and Southern and Eastern Asia. With this communication, cultures and ideas moved, including mathematical knowledge, allowing undiscovered concepts to enter and discovered concepts to be leave, developed elsewhere and re-enter further advanced....   [tags: mathematics, trigonometry, zero, numbers]

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Students Learn Mathematics With Deeper Meaning

- ... Instead of treating all students the same, teachers should attempt to structure their teaching so all students are engaged in productive struggle (Larson, 2012). In Zeichner’s (2005) research agenda for teacher education, he calls for more research on preparing PSTs to meet the needs of diverse students. Zeichner argues that teachers are not diverse and that more studies need to address how to meet all students’ needs. He specifically states that there is a lack of research on PSTs and ELLs: “This research on the preparation of teachers to teach underserved populations should pay special attention to the preparation of teachers to teach English-Language Learners because almost no researc...   [tags: Problem solving, Mathematics]

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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]

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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]

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The Stage 4 Mathematics Unit Of Work ( Uow )

- ... MA4-13MG is primarily exploring the formulae and conversions, applying an Indigenous perspective to this area of focus can allow for learning through storytelling, land-links, nonverbal symbolisms and communal links (Yunkaporta, 2009) . Perceiving the notion of the Indigenous sense of identity, the lesson on visual and numerical aspects of the mathematical applications can be applied through the “interconnectedness of Country and Place, people and Culture”. Imperatively, the aspects of mathematics are mirrored aspects on how the world functions and through this it is evident that mathematics has become amalgamated with the systematic functions of society....   [tags: Mathematics, Problem solving]

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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]

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Mathematics : The Poor State Of Mind Towards Math

- ... Recognition is often the derivative of flexibility. By thinking flexibly, understudies lessen the mental exertion needed to perform little steps connected with an errand and can apply more exertion toward finishing the exceptionally difficult parts of the undertaking (Brendefur et al. 188). Flexible mathematical thinkers have been shown to develop faster recall of basic facts and to be more successful in classroom settings (Beishuizen and Anghileri 523). Interpreting relationships- understanding equality and the relationship of numbers and solving contextualized problems form the basis of algebraic understanding- takes after the analyzing of numbers (Dempy 50)....   [tags: Mathematics, Number, Rational number]

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Importance Of Numerical Estimation Of The National Council Of Teachers Of Mathematics

- The Importance of Numerical Estimation The standards and principles of the National Council of Teachers of Mathematics (NCTM) (2000) emphasize the importance of understanding numerical magnitude as the pre-K2 students endeavor to make sense of numbers. “Number magnitude is an essential feature for algorithms . Use of the algorithms not only depends on the automatic recall of number facts but also reinforces it. Far too many middle and high school students lack the ability to accurately compare the magnitudes of such numbers." NCTM also acknowledge the estimation proficiency and precision provide solid foundation for future mathematics success not only for individual differences of computatio...   [tags: Mathematics, Number, 1, Real number]

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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]

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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]

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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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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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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]

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Self-Regulation and Motivation: A Counseling Intervention for Student Success in Mathematics

- Self-Regulation and Motivation: A Counseling Intervention for Student Success in Mathematics There are numerous research articles on the need for mathematics intervention in the transition grades (Falco, Crethar & Bauman, 2008; Medina, 2011; Ocak & Yamac, 2013; Swanson, 2011). Ramdass (2011) proposed that during the elementary school years, students valued math and its importance. However, in middle school, their interest decreased and they did not have the inner drive to learn mathematics, which may have contributed to their lack of success....   [tags: Mathematics Intervention, Transition Grades]

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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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Learning Mathematics For Teaching Mathematics

- The PSTs in the United States have a wider grade span for their grade specialization, when compared to Polish and Russian teacher preparation programs. Additionally, two program types for teacher preparation programs are available for full time study in the United States and Poland, while in Russia the elementary PSTs are prepared as generalists. There are concurrent and consecutive programs structures in the United States teacher preparation programs. Finally, there are few male PSTs in the teacher preparation programs in all three countries....   [tags: Education, Teacher, Knowledge, Learning]

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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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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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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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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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The History of Mathematics

- ... Around 1950BC, The Moscow papyrus was written, which gave details of Egyptian geometry. Around 1800BC, the Babylonians start using the multiplication tables. The Babylonians also solve the linear and quadratic equations and pulls together the tables of square and cube roots. Around 1400BC, the decimal number system with no zeroes started to be used in China. Around 127BC, Hipparchus figured out the equinoxes and calculated the length of the year to about 6.5 minutes of the correct value, started the understanding of trigonometry (A Mathematical Chronology,2014)....   [tags: geometry, fractions, numbers]

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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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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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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]

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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]

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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]

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Mathematics of Baking

- Mathematics is part of our everyday life. Things you would not expect to involve math do. Such as how to write a successful pop song, which gang is responsible for a crime, where terrorists are hiding bombs, how new drugs can affect people and how to keep a crowd from trampling each other (Jones, 2013), to name a few. As you can see, math is involved in things that you would never expect. In the following paragraphs, I will explain to you how a particular interest of mine, baking, involves math in more ways you would think....   [tags: ingredients, recipe, grams]

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The origin and development of Mathematics

- It can be noted that the discipline of math has played important role in people’s lives and it has provided various useful methods to be more knowledgeable in life. Initially, even prior to the modern age and the communication of knowledge in the world arena, the written forms of new mathematical develops can only be accessed by several locales. It is known that the most ancient mathematical texts that can be accessed to is Plimpton 322, the Rhind Mathematical papyrus as well as the Moscow mathematical papyrus....   [tags: math, geometry, pythagorean theorem]

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The Connections Between Mathematics And Music

- ... The works of Ancient Greeks have endured through time. During the Renaissances, music was no longer seen as being part of mathematics and soon became its own area of study known as Music Theory. Nonetheless, several mathematicians still continued to study music theory. Rene Descartes, for example, had many mathematical achievements and still his first book, Compendium Musicale, was about music theory [4]. Marin Mersenne, a mathematician, authored several treatises on music, including Harmonicorum Libri and Traite de L’Harmonie Universelle and is often called the father of acoustics [4]....   [tags: Music, Sound, Musical notation, Fourier series]

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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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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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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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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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The Use of Mathematics in the Medical Field

- The medical field is a very interesting career field. There are hundreds of different occupations within this field, including anything from saving a fragile newborn baby’s life to prescribing antibiotics to a relatively healthy adult. No two occupations are exactly alike, but each one is equally important. Although there are several job variations in medicine, they all have at least one thing in common. Every occupation within the medical field relies heavily on mathematics. Elementary mathematics, geometry and algebra are all obviously crucial to advancing in new technology, saving lives and curing diseases....   [tags: x-rays, nurses, doctors, algebra]

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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]

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1687 words | (4.8 pages) | Preview

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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1889 words | (5.4 pages) | Preview

A Brief Survery of Babylonian Mathematics

- As the light from the window grows significantly darker, two men keep awake, scribbling what seems to be chicken scratch onto clay tablets. Carrying out their work to the second or third order, it is remarkable what has been accomplished with some clay, a crude utensil for scratch writing, and the minds of many mathematicians. While this may have not been exactly how it happened, scenes like this one, along with the preservation of their work, provide insight today into the earliest documentation of not only historical algebra, but of mathematics itself....   [tags: babylonian empire, clay tablets]

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1814 words | (5.2 pages) | Preview

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]

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1188 words | (3.4 pages) | Preview

The Occupational Profile Of A Mathematics Professor

- There are a plethora of career choices in the world today. Many young minds find it difficult to choose just one. In a world with seemingly limitless possibilities, each person has the opportunity to choose something g g that sparks their own unique interests. One of those choices could be a mathematics professor in post-secondary education. The occupational profile of a mathematics professor has many different elements including interesting and important aspects of the job, educational requirements and their costs, future projections and rate of pay....   [tags: Higher education, University, College, Doctorate]

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1339 words | (3.8 pages) | Preview

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 | (4.1 pages) | Preview

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) | Preview

The Common Core Standards For Mathematics

- The Common Core Standards for Mathematics “Education is the most powerful weapon which you can use to change the world” (Nelson Mandela). Education is the best weapon we arm ourselves with going into the world. As we arm ourselves we must also arm the generations that come behind us. The world is always advancing; thus, education most also advance. The nation is constantly trying to adapt its educational system. The government desires to see the nation thrive, the primary goal: preparing America’s youth for success, thus establishing future national success....   [tags: Education, Education in the United States]

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1738 words | (5 pages) | Preview

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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1313 words | (3.8 pages) | Preview

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]

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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]

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2147 words | (6.1 pages) | Preview

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]

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1302 words | (3.7 pages) | Preview

Teaching Mathematics : An Effective Educator

- To become an effective educator in mathematics, one must inspire students to have the drive and determination to learn and become engaged in various intellectual activities. Worthwhile tasks, engaging in discourse, the learning environment, and one’s analysis of the students’ learning all plays a role in how students engage in learn tasks and how an educator teaches. The first standard of the NCTM Professional Standards for Teaching Mathematics discusses worthwhile mathematical tasks. When trying to find a task that was engaging and meaningful to Third Graders for Gwen and my first math lesson, we used chocolate....   [tags: Education, Teacher, Question, Learning]

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Implementing Technology in the Mathematics Classroom

- It has been over a decade now since we’ve been hearing from federal agencies, professional organizations and teaching accreditation agencies about the need to integrate technology into school curriculum. Culp, Honey and Mandinach (2005) reported despite several educational reports and other governmental reports of the large investments in instructional technology resources, computers, high speed internet access and other forms of technology within the country’s schools are yet to be effectively integrated into instruction in most our nation’s K-12 classrooms....   [tags: computers, resources, teachers]

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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]

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1452 words | (4.1 pages) | Preview

My Experience That Competency Is Mathematics

- ... New electronic systems for creating and submitting financial statements and for data analysis appear regularly, demanding that accountants remain nimble in their ability to learn and adapt to new technology. The average salary for an Accountant is $47,936 per year. For the first five to ten years in this position, pay increases somewhat, but any additional experience does not have a big effect on pay. Employment of accountants and auditors is projected to grow 11 percent from 2014 to 2024, faster than the average for all occupations....   [tags: Certified Public Accountant, Accountant]

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1173 words | (3.4 pages) | Preview

Teaching And Learning Of English And Mathematics

- In the first six weeks, a range of concepts related to the teaching and learning of English and mathematics were explored. Through the weekly readings, activities and group discussion board, understanding of a number of areas including: the Australian Curriculum, catering for diversity, teaching strategies, assessing student comprehension and enhancing student engagement in relation to the English and Numeracy Programs was enhanced. The Week 2 readings demonstrated how important it is for teachers to get to know their students by identifying and understanding their differences....   [tags: Education, Educational psychology, Learning]

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1660 words | (4.7 pages) | Preview

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]

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867 words | (2.5 pages) | Preview

Mathematics Is Not A Challenge For Me

- Mathematics has always been a challenge for me. I believe that math is the hardest subject in school. I have many memories of learning math through the years including elementary, middle, high school and college. In elementary I struggled with fractions and word problems. I didn’t understand what the problem was asking me to do. I didn’t know what steps I need to make to get the correct answer. I didn’t know if I should multiple, divide, add, or subtract. My Dad had to help me with my fractions every night....   [tags: Education, High school, Teacher, School]

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1095 words | (3.1 pages) | Preview

Mathematics And The Classroom And School Environment

- ... During their independent work, students were allowed to use their manipulatives to help them answer worksheet questions. I believe that it was highly effective to teach this lesson because students constantly had a visual representation that they can see clearly. Students were also allowed to use it at their leisure for other lessons. Students grasped the lesson objectives easier with the use of manipulatives. The students in my class are not allowed to use technology in the classroom; at least I have not witnessed them using it during a math lesson....   [tags: Question, Education, Pedagogy, Nabisco]

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1896 words | (5.4 pages) | Preview

Constructivism : Teaching And Learning Mathematics

- In this essay it will discuss Angileri’s, 2006 quote, by going into depth about how constructivism is the best approach to teaching and learning mathematics to children, comparing constructivism to behaviourism and how maths has changed over time from rehearsal to playfulness, fun and creativity. The chosen theory of constructivism was selected as the best approach to teaching and learning mathematics to children as this theory is built on two main theorists working Vygotsky’s and Bruner’s that are both supportive, that learning is an active process that participation is critical and providing support to children with strengthening and support prior knowledge as well as new insights being ta...   [tags: Learning, Educational psychology]

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1410 words | (4 pages) | Preview

My Personal Philosophy Of Mathematics

- ... Direct instruction is encouraged, but other instructional methods are used if they prove effective. Students are expected to listen and learn as they follow the rules of a classroom” (Philosophical Foundations 276). I believe that the teacher should be the main facilitator in a classroom, but that students should have a say in the classroom. I think it is important that a teacher guides and directs a classroom so that everyone is on the same page, but also gives room for students to be creative and have a voice....   [tags: Education, Teacher, School, Essentialism]

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2230 words | (6.4 pages) | Preview

The Fundamental language of Mathematics

- Today, you will have done a mathematical calculation. You might not have realised it, but you did. Whether it was how many more minutes in bed you could have before you had to get up, or whether it was how much water to put in the kettle for your morning cup of coffee. Mathematics is a fundamental language that everyone needs to be able to speak in order to survive today: nowhere in life can it be avoided; without maths, we would be lost: living in chaos. Because of this, maths should play a larger part in the Scottish secondary curriculum, up until the point where pupils have the opportunity to leave school....   [tags: creative thinking, logic,digital age]

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1140 words | (3.3 pages) | Preview

Mathematics: The History of Pi

- To start off, pi is the ratio of a circle’s circumference to its diameter (Bennet, Burton, & Nelson, 2012). This is approximately equal to 3.14159. In equation form it is calculated like this: π = C/d (Shell, 2013). Pi is also an irrational and transcendental number. This means that it will continue infinitely without any repetition or pattern. It also cannot be expressed accurately as a fraction and the decimal never ends (Shell, 2013). The history of pi is a very confusing one. No one knows exactly who discovered it; they just know assumptions and possible coincidences....   [tags: circle's circumference, radius, archimedes]

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1056 words | (3 pages) | Preview

The Reason to Study Mathematics

- From a very young age, I was intrigued as to how everything around me worked. From what makes Vehicles move to how images appear on a screen. It wasn't until I began to learn Physics in school, that I was given a more detailed understanding of how all the instrumental parts come together, to create a piece of machinery as simple as a Light Switch. It is one of those objects we use every single day, however it is unlikely that the average person gives much thought to what is behind the wall, what it is that makes the Light Switch work so effortlessly....   [tags: everyday, use, problem, solving]

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563 words | (1.6 pages) | Preview

George Boole's Impact on Mathematics

- “He had a better mind and a more rigorous temperament than me; he thought logically, and then acted on the conclusion of logical thought. Whereas most of us, I suspect, do the opposite: we make an instinctive decision, then build up an infrastructure of reasoning to justify it. And call the result common sense.” This quote, by Julian Barnes, embodies the reason George Boole was my choice for my mathematician. I have always been fascinated by logic and reasoning, possibly because I constantly find myself in arguments which I prefer to call friendly debates....   [tags: logic, award, computers]

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723 words | (2.1 pages) | Preview

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