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Combinations in Pascal's Triangle - Combinations in Pascal’s Triangle Pascal’s Triangle is a relatively simple picture to create, but the patterns that can be found within it are seemingly endless. Pascal’s Triangle is formed by adding the closest two numbers from the previous row to form the next number in the row directly below, starting with the number 1 at the very tip. This 1 is said to be in the zeroth row. After this you can imagine that the entire triangle is surrounded by 0s. This allows us to say that the next row (row one) is formed by adding 0+1 to equal 1 and 1+0 to equal 1 making the next row 1 1....   [tags: Mathematics Math]
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894 words
(2.6 pages)
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Number and Operations - Throughout my teaching career I will be required to teach children mathematical skills and concepts in order to help them progress to the next grade. In order to help them master the required standards, I must use different strategies, manipulative devices, models, and technology. Scholarly articles and studies will also be helpful in helping me develop ways to teach my students. In the following paper I will discuss how I would present five different mathematical concepts to my students. My first concept is comparing relative size of decimals....   [tags: Education, math, teaching]
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984 words
(2.8 pages)
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Truth Change in Mark Haddon´s The Curious Incident of the Dog in the Night-Time - In the book The Curious Incident of the Dog in the Night-Time, by Mark Haddon, we are met with a question can truth change. In the book the protagonist is Christopher, an autistic child living with his father. Throughout the book, many things that he thought to be true change. Firstly, Christopher thought that his father would never hurt anything, but he did. Secondly, he was not allowed to take the A-Level Maths because he went to a special school. Lastly, he thought that his dad would never lie to him and that changed as well....   [tags: autistic, hurt, math, lie, test] 552 words
(1.6 pages)
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Gender: Women Underrepresentation in Certain Subjects in Universities in Australia. - Although women continue to dominate in many professional fields such as teaching, nursing and human welfare, they are underrepresented in areas of study such as engineering and Information Technology (Tadros 2014). There are many factors that can be attributed to this such as attitude, gender bias and stereotyping, the role of women in society, and perceived ability and skills. A 2011 report by the University of Sydney (2013) revealed that the number of girls studying mathematics and science was on the decline....   [tags: girls, science subject, engineering, math]
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1409 words
(4 pages)
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Wolfram|Alpha: Computational Knowledge Engine That Benefits Students and Teachers - Although I currently am not taking any mathematics courses, Wolfram|Alpha certainly has the capacity to be a valuable homework or study tool. In particular, its ability to handle calculus functions such as differential equations and integration, even providing visual representation for graphs and series, would have been an immensely helpful tool when I took AP Calculus in high school. Similarly, the details the engine can provide for chemicals and measurements, such as acceleration, would have been equally helpful for science classes....   [tags: internet, teaching, technology and education, math] 1003 words
(2.9 pages)
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The Life of Konstantin Tsiolokovsky - ... Oberth performed experiments to simulate weightlessness and designed a long-range, liquid-propellant rocket – ideas that he submitted to the German War Ministry in 1917 but which were rejected. In 1922, Oberth submitted a doctoral thesis on rocketry “By Rocketry to Space” for his Ph.D. degree from the University of Heidelberg, which was also rejected. In 1923, he published his first draft of his book, “The Rocket Into Planetary Space”. “The Rocket Into Planetary Space” introduced the idea of the optimal velocity that minimises propellant consumption, and explained how rockets could escape the Earth’s gravitational pull....   [tags: russian math teacher, spacecraft engineering] 1031 words
(2.9 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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Darmok at Tanagra Cunningham and Kehle at Bloomington Gauss With Chalk in Hand - Darmok at Tanagra Cunningham and Kehle at Bloomington Gauss With Chalk in Hand This essay is the first of three short reflexive papers intended to identify the issues and implications that result from viewing mathematics education through a semiotic lens. By mathematics education I mean to include consideration of mathematics itself as a discipline of on-going human activity, the teaching and learning of mathematics, and any research that contributes to our understanding of these preceding enterprises....   [tags: Math Mathematics Mathematical Essay]
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1147 words
(3.3 pages)
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Reflexive Substantion of an One-Way Ascendancy of Mathematics over Ethics - Reflexive Substantion of an One-Way Ascendancy of Mathematics over Ethics ABSTRACT: Russell and Popper are concordant with Plato with respect to the independence of mathematics upon the sensations. Beth shares the opinion of the complete independence between the world of science and mathematics and that of psychology. Essenin-Vol'pin's opinion is of an ascendance of ethics and jurisprudence over mathematics. For the first time, the position of Plato, Russell, and Popper are substantiated in this paper through Hegel's reflexive natural scientific method....   [tags: Mathematics Math Papers]
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2412 words
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A Notion of Zero in the Philosophy of Aristotle - A Notion of Zero in the Philosophy of Aristotle ABSTRACT: This article shows that Aristotle created the first notion of a zero in the history of human thought. Since this notion stood in evident contradiction to the basic principles of his metaphysics and logic, he rejected it. The origin and development of mathematical symbols was closely connected with the development of mathematics itself and development of philosophy. It resulted from the fact that philosophy provided the motivation for investigations and creation of adequate and good mathematical symbols....   [tags: Philosophical Math Essays] 2038 words
(5.8 pages)
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The Neo-Kantians and the 'Logicist' Definition of Number - The Neo-Kantians and the 'Logicist' Definition of Number ABSTRACT: The publication of Russell's The Principles of Mathematics (1903) and Couturat's Les principes des mathematiques (1905) incited several prominent neo-Kantians to make up their mind about the logicist program. In this paper, I shall discuss the critiques presented by the following neo-Kantians: Paul Natorp, Ernst Cassirer and Jonas Cohn. They argued that Russell's attempt to deduce the number concept from the class concept is a petitio principii....   [tags: Mathematics Math Mathematical Papers]
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3396 words
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Effect of a Water Droplet on a Rainbow - The Formation of a Rainbow Sir Isaac Newton found that white light is composed of all wavelengths of visible light. White light is a mixture of all the colors of the spectrum, which are: Red, Orange, Yellow, Green, Blue, Indigo, and Violet. If we break up white light we can see the various components. A glass prism can be used to split white light into various wavelengths. This split occurs because each color in the white light has a different index of refraction. Thus, the different colors will respond differently to the glass....   [tags: Geometry Math Light] 1997 words
(5.7 pages)
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Mathematics: A New Kind of Portfolio Assessment - Mathematics: A New Kind of Portfolio Assessment I sat pondering in my classroom as I calculated my grades for my first six weeks of teaching. I began wondering as I looked over grades how accurate these grades were to the ability of my students. I began to wonder how the grades showed the growth from where some of my students started at the beginning of the year. Some of my students started below grade level to begin with and had made tremendous gains to function at the level they were functioning at....   [tags: Teaching Education Math Essays]
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3653 words
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The Issue of Experiment in Mathematics - The Issue of Experiment in Mathematics ABSTRACT: The issue of the status of mathematical knowledge a priori or a posteriori has been repeatedly considered by the philosophy of mathematics. At present, the development of computer technology and their enhancement of the everyday work of mathematicians have set a new light on the problem. It seems that a computer performs two main functions in mathematics: it carries out numerical calculations and it presents new areas of research. Thanks to cooperation with the computer, a mathematician can gather different data and facts concerning the issue of interest....   [tags: Math Philosophy Philosophical Papers]
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2302 words
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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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The Beginnings of Greek Philosophy - The Beginnings of Greek Philosophy The Milesians and Heraclitus Long before the time of Thales, a citizen of Miletus, in the district of Ionia on the west coast of Asia Minor, Chaldaen astrologers had listed data on the position of the stars and planets. As Thales studied these tables he thought he discerned a pattern or regularity in the occurrence of eclipses, and he ventured to predict a solar eclipse that occurred on May 28th 585BC. Some scholars think that this was just a lucky empirical guess, but if it was the discovery of an astronomical regularity or natural law, then Thales may be credited with distinguishing Greek philosophy and science from the somewhat aimless observations a...   [tags: Science Math Stars Papers]
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4198 words
(12 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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Computers in the Mathematics Classroom - ?Calculators and computers are reshaping the mathematical landscape, and school mathematics should reflect those changes. (NCTM 24). My view of mathematics and geometry is that they go hand in hand. You have to know some algebraic procedures in order to be able to perform geometry problems. I never enjoyed Geometry in high school but now that I see it in a different prospective using GSP I really understand and enjoy it. I think that Geometry should be taught with software so the students can work with it hand in hand with the teacher and other students....   [tags: Math Technology Education]
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516 words
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Gender Differences and the Threat of Gender Stereotype in Science Education - ... He concludes that most of these studies on the academic achievement of the two genders had many major limitations because they were “one-shot research designs,” and there were different measurements used in the samples which allowed for more generalizations to be made, rather than actual measurements (Bursal, 2013, p. 1152). The First International Science Study in 1970-71 and the Second International Science Study in 1983-84, both performed in more than twenty countries, found that boys performed better than girls in the area of science (Bursal, 2013, p....   [tags: girls go to Language Arts and boys to math]
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1058 words
(3 pages)
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Translation, Quotation and Truth - Translation, Quotation and Truth ABSTRACT: If logical truth is truth due solely to syntactic form, then mathematics is distinct from logic, even if all mathematical truths are derivable from definitions and logical principles. This is often obscured by the plausibility of the Synonymy Substitution Principle that is implicit in the Fregean conception of analyticity: viz., that synonyms are intersubstitutable without altering sentence sense. Now, unlike logical truth, mathematical truth is not due to syntax, so synonym interchange in mathematical truths preserves sentence syntax, sense, and mathematical necessity....   [tags: Mathematical Mathematics Math Essays] 3462 words
(9.9 pages)
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Atmospheric Optics - Atmospheric Optics Light is all around us, from both natural and artificial sources, during the day and the night. We think we understand it, and that what we see by it is an exact representation of what we are looking at. However we can be mistaken; the setting sun seen on the horizon has in fact already dropped below the horizon. Twinkling stars are also an effect of this same process, called refraction. Light passing through a medium such as air or water can be absorbed and scattered by the molecules in the medium or refracted by changes in air density....   [tags: Math Mathematics] 1255 words
(3.6 pages)
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Chaos Theory - Missing Figures CHAOS The word “chaos,” an enigmatic part of the vernacular, means a state without order, or the opposite of “cosmos,” an ordered state. Mathematical chaos is instability and unpredictability, often seen in nature due to its sensitivity to the random disturbances that commonly occur. This is known as determinism; previous events heavily influence future events, and small changes eventually lead to larger variations. Philosophically, chaos theory implies that everything is connected; our past actions impact our future....   [tags: Mathematics Math] 1963 words
(5.6 pages)
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RSA encryption - RSA encryption All over the world there are millions of people use credit card and on-line shopping. Every individual gets different numbers for credit card and for transcription of on-line-shopping. Where did all this number come from. Are the numbers in order. No, those numbers are made by RSA algorithm. RSA encryption is the foundation of public key cryptography security products. For example, credit card companies use the RSA algorithm for customers’ individual online WebPages. The credit card companies publish a big number on WebPages, which is made by big prime numbers using the RSA algorithm....   [tags: Mathematics Math] 1156 words
(3.3 pages)
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Probability and Genetics - Probability and Genetics Probability theory is the study of the likelihood of an occurrence of random events in order to predict future behaviors of a system (2). The principles of probability are widely used. In genetics, for example, probability is used to estimate the likelihood of gene distribution from one generation to the next. In business, insurance companies use the principles of probability to determine risk groups. Probability is closely related to statistics since uncertainty always exists when statistical predictions are being made....   [tags: Mathmatics Math Papers]
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1904 words
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Dual Identity Combinators - Dual Identity Combinators Combinatory logic has been invented independently by M. Schönfinkel and H.B. Curry in the 20s of this century (Cf. Schönfinkel 1924, Curry 1930.). The impetus was to reduce the number of primitive notions needed for a logical system, in particular, for first-order logic. Schönfinkel used functions to provide a translation for a closed first-order formula into a functional expression, thereby eliminating bound variables of first-order logic. About the success of this attempt cf....   [tags: Combinatory Logic Math Papers]
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4070 words
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Learning Experience - Teaching through problem solving allows students to create meaning of the mathematical concept and use that meaning to make connections for harder concepts (Van De Walle, Karp, Bay- Williams, 2013). When students have control over the learning process, they can own their learning. Using a problem solving approach for mathematics will help students synthesize the concepts and demonstrate their thinking process. If, students can verbalize their thinking, they will have a better understanding of the process involved to solve mathematics....   [tags: teaching through problem, math concept]
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1248 words
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Correlation between 8th grade mathematic CMT scores and mathematic CAPT scores - Correlation between 8th grade mathematic CMT scores and mathematic CAPT scores Introduction: Standardized testing, specifically “high-stakes testing”, has become a topic of debate for many years. “High-stakes testing” is associated with states that require successful performance on a standardized test for graduation, an “exit exam”. Is this the trend in public education. As an educator in Connecticut, should I expect “high-stakes testing” in the future. The State of Connecticut Legislature created a statue (Section 10-14n) that mandates statewide standardized testing for students in 4th, 6th, 8th and 10th grade....   [tags: Math Grades Scores Standardized Testing Test]
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2994 words
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Mathematics of Human Vision and Corrective Lenses - Missing figures/tables It is a daily ritual...wake up, eat, shower, contacts, class. I do this every morning, however I have never stopped to think, "Why?" No, not "Why am I going to class so early?" but "Why do I need these contacts?" With this project I will attempt to explain the basics of vision and corrective lenses, as I, myself, finally learn the reason for sticking my finger in my eye every morning. Basic Eye Anatomy The cornea is responsible for protecting the eye and for refracting incoming light rays....   [tags: Math Eye Glasses Contacts Contact Lens] 1683 words
(4.8 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]
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1399 words
(4 pages)
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Understanding Mathematics - Understanding Mathematics This paper is an attempt to explain the structure of the process of understanding mathematical objects such as notions, definitions, theorems, or mathematical theories. Understanding is an indirect process of cognition which consists in grasping the sense of what is to be understood, showing itself in the ability to apply what is understood in other circumstances and situations. Thus understanding should be treated functionally: as acquiring sense. We can distinguish three basic planes on which the process of understanding mathematics takes place....   [tags: Math History Learning Papers]
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3992 words
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Fractal Geometry - Fractal Geometry In the past, mathematics has been concerned largely with sets and functions to which the methods of classical calculus could be applied. Sets or functions that are not sufficiently smooth or regular have tended to be named as " pathological" and not worthy of study. They were regarded as individual curiosities and only rarely were thought of as a class to which a general theory might be applicable. However, in recent years this attitude has changed. Irregular sets provide a much better representation of many natural phenomena than do the figures of classical geometry....   [tags: Mathematics Math Geometric Essays]
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1384 words
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Recurring Decimals - Recurring Decimals Infinite yet rational, recurring decimals are a different breed of numbers. Mathematicians, in turn, have been fascinated by these special numbers for over two thousand years. The Hindu-Arabic base 10 system we use today was inspired by the Chinese method of decimals which was actually around 10000 years old. Decimals may have been around for a very long time, but what about recurring decimals. In fact the ancient Greeks were one of the first to deal with recurring decimals....   [tags: Mathematics Math Infinite Numbers] 1400 words
(4 pages)
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Topology - Topology The two main figures of Topology, the spheroid and the torus. Shown together like this, they create the symbol for the sun in ancient times (2, 1). The field of mathematics encompasses many different sub-fields which have been studied and researched for a very long time. One of the most intriguing divisions of mathematics is topology. Topology, the mathematical study of the properties of objects which are preserved through deformations, twistings, and stretchings (4, 1), is rooted far back in time; so far back that it outdates all recorded history (2, 1)....   [tags: Math Mathmatics] 1392 words
(4 pages)
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Topology - Topology Topology is a modern branch of geometry. It has been called qualitative geometry because instead of thinking about the traditional characteristics of an object (like angles, length, etc.), topologists study features that can’t be altered by stretching, twisting or shrinking the object. After any alteration all points in the object that were connected must still be connected and all points separated by a hole must remain separated. Topology also attempts to explain objects that cannot exist in three dimensions using mathematical equations, since it is nearly impossible to imagine such objects within our frame of reference....   [tags: Math Mathmatics] 1379 words
(3.9 pages)
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Topology - Topology Mathematics is a field so vast and diverse that it is impossible to be an expert in all areas. It is also a field that is constantly evolving and branching outward. The field of topology is one of the newest intensively studied branches of mathematics. “A simple way to describe topology is as rubber sheet geometry” [2]. “Topology is an offshoot of geometry that originated during the 19th century and that studies those properties an object retains under deformation - specifically, bending, stretching and squeezing, but not breaking or tearing” [1]....   [tags: Mathematics Essays Mathematical Math]
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1448 words
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Mathematics - Mathematics At the recent annual meeting of the Psychology of Mathematics Education--North America Chapter, held in Florida, Bob and I were playing Frisbee on the beach. The lure of the surf soon led us into thigh deep water where waves added to the fun we were having with the wind. We were throwing parallel to the shore but the waves were coming in at an angle so that a breaking wave first hit Bob before hitting me a few seconds later. Verbal communication was difficult due to the noise of the surf, so thumbs-up or down, applause, head-nodding or shaking, along with smiles or frowns took its place....   [tags: Personal Narrative Math Essays] 1553 words
(4.4 pages)
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Proof - Proof Proof. What is it and why does this simple term cause such a stir among mathematics educators and mathematics students. If you were to ask a young child to prove a mathematical fact, they would be happy to show you many examples of how it works. This does not constitute a proof but it is a step in the right direction. If you were to ask a high school student or first year college student to do a proof, you will most likely be met with groans and feelings of disgust. Students at this age have probably encountered proof in a geometry class where they were expected to follow a strict format without much freedom to express proofs on their own....   [tags: Math Education Papers]
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3358 words
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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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1881 words
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A Summary of Instruction Problem - A. Summary of Instruction Problem Mathematics is essential to our daily lives whether doubling a cookie recipe or buying a cheeseburger at McDonalds. Life in the future is going to require students to use higher levels of problem solving skills for most jobs. Therefore, it is important for all students to have these skills to meet future challenges. IDEA states that all students with disabilities have access to the general curriculum. With the No Child Left Behind Act these same students are held accountable to the same high academic requirements as the general education students....   [tags: Mathematics, Students, Disabilities, Education]
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1483 words
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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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Scientific Terms, A Short List - ... 12. Research-(REE surch)-(noun);the collecting of information about a particular subject ➢ In science, a lot of scientists used research to claim and support theories. ➢ In math, we research information if we need help on a different lesson. 13. Visible-(vih SIH bul)-(adjective); capable of being seen with the eye ➢ In science, visible light is just a small section of all the wavelengths in its spectrum. ➢ In math, our work is to be as clearly and visible as possible so it can be read. 14. Contrast-(kahn TRAST)-(verb); to show differences when compared ➢ In science, the book uses the word contrast to state that atoms of the same elements have different neutrons....   [tags: Mathematical Concepts] 1418 words
(4.1 pages)
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Technology is Taking Over and Replacing Humans - The robots are taking over and planning to destroy humanity as it currently stands. They’re smarter, faster, and stronger making them superior to humans in every way. Because humans were too lazy and put all their faith in technology it was easy for the machines to rise up and take over. Soon all of humanity will be enslaved by robots and computers. This is the plot for thousands of science fiction movies and novels in which humans make computer, personal robots servants, and other technology that are so advanced and make life easier that in the end humankind has lost most of its intellect and physical abilities dooming the world to a fate that has inspired many armageddon theories....   [tags: computers, robots, calculators]
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1041 words
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Our Dependence on Modern Technology - Forgetting to bring certain devices with us when we leave our houses can be frustrating and annoying. Picture this: on the day of your SAT, you walk into your designated testing destination. You are assigned to a seat. You open your bag to get out the utensils you need. Then you realize you are missing the most important thing, your calculator. This can be very frustrating and mad, especially when there are three to four sections of math in your booklet. It is even more frustrating when having to take the math subject SATs, where the whole section is all math....   [tags: calculator, phones, computer] 955 words
(2.7 pages)
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Not Just a Number: Critical Numeracy for Adults - Not Just a Number: Critical Numeracy for Adults "It is difficult to understand why so many people must struggle with concepts that are actually simpler than most of the ideas they deal with every day. It is far easier to calculate a percentage than it is to drive a car." (Dewdney 1993, p. 1) To many people, the words "math" and "simple" do not belong in the same sentence. Math has such an aura of difficulty around it that even people who are quite competent in other areas of life are not ashamed to admit they can't "do" math....   [tags: Numeracy Mathematics Education Essays]
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1988 words
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Mathematical Realism And Its D - Reuben Hersh, a mathematician and mathematics philosopher, believes humans created math. He reasons that math is all in the heads of humans, and is a “social phenomenon”. According to Hersh math is not “physical, not mental, but social”. Math to Hersh is a creation of humans that would not be found in other regions of the universe. According to Hersh if there were other life forms out there in the universe they would not have the same math that we have. Hersh agrees that there could very well be aliens out there in the universe who use mathematics, but he feels that their math would much different than ours....   [tags: essays research papers] 394 words
(1.1 pages)
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George Boole and Mathematics - George boole was the math matitian that was picked because of the fact that he has put such an impact on the world.It has become so common that it is now taught in most school durnign 9th grade and on.One thing that is remberbed by his are his laws which are communitive, associative, distributive,deMorgans law ,constants,variables. Being born in england with a passion for math and technology Boole most of his time at the Lincon mechanics institution, which was a club with an affiliation of research, and discussion as well as talking about other finding in the math and science eara.Boole’s father eventually became the head administrator of the institute, which would explain why boole would ev...   [tags: communitive, associative, distributive] 519 words
(1.5 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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Gamification in Education? Game ON or Game Over? - Let’s start with Gamification. That’s a complete misconception on what is gamification all about. Many people think Gamification is a branch of gaming, so what is Gamification really. Gamification is the craft of absorbing the fun and addicting elements in games (Game Mechanics) and applying them into real-world applications. According to one of a Gamification Guru Yu-kai Chou, gamification is a design process that optimizes for the human or “human-focused design” in the system, as opposed to pure efficiency or “function-focused design” of the system....   [tags: application of game playing elements to life] 1092 words
(3.1 pages)
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Behavior Change Project - Operational Definition John, a 15 year old male, is an 8th grade student attending a local middle school. John is a transfer student from another state and he been placed into an inclusion classroom because he has been identified as a student with a disability and requires an IEP. Lately, John has been verbally and physically disruptive during math class. Some of the disruptive behaviors John often exhibit in the classroom include making loud noises and jokes during instruction, calling his peers names, physically touching his peers, and grabbing group materials....   [tags: Education Essays]
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1334 words
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Defining the Knowledge and Skills of High School Students Through Common Core State Standards - ... Opposition will argue that Common Core standards are “too” rigorous, and are setting students up for failure with their tests and too tough curriculum- proponents of Common Core say states have been setting the bar too low all along. Michael Petrilli of the Thomas B. Fordham Institute stated that- in 2010, a study was conducted on the content of Common Core compared to the standards of the 50 states and found Common Core to be better than what three-quarters of the states had previously, and on par with the rest....   [tags: education reform, expectations] 1541 words
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Gender and Mathematics - Mathematics is acknowledged as a hard subject. People who are good at it are considered to belong to a sort of elite. Usually to be “accepted” in this elite you have to fulfill some requirements and most of them are related with a specific gender. “Math is a God’s gift for boys.” This has been the perception of society for a long time. The majority thinks that the nature of mathematics goes along mostly with masculine attributes, thus, males are more focused on it. Therefore, according to these people boys by default get to be better in math, with girls being excluded from any kind of decent relation with this field of study....   [tags: Gender Studies]
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Employing Games in Education - Introduction Teaching is an important theme in our life whereas the new attitude in education is recently directed to move from the traditional methods in teaching children to the modern ones. Truly, teaching at school, and especially in the primary stage should be great fun, whereas using games as a technique can assist in supporting the students’ concentration and performance. Consequently games employment in schools can add a value in teaching, along with developing the student’s abilities, evolving their awareness and enhancing the education process....   [tags: Education]
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Science is Never Certain - 'Complete certainty,' what exactly does that mean. It seems to imply that we are able to know something without doubtfulness. In fact, it seems to be saying that it is a justified true belief. But what makes a 'complete certainty' 'complete' and 'certain.' To understand this we must first understand and grasp what the two areas of knowledge of mathematics and the natural sciences say they accomplish this goal. We must first understand what makes something a complete certainty to the scientists and mathematicians that study in these subjects and how the people, who believe in their findings, accept these 'complete certainties.' Mathematics and the natural sciences are both hard sciences tha...   [tags: Evidence, Fallacies, Proofs] 1366 words
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The Genius that Was Pythagoras - ... So since Pythagoras never wrote things down we will never know if Pythagoras really came up with the ideas he was credited for or if it was just one of his students work from his Pythagorean School. Also in my research I saw that over a 1,000 of years before Pythagoras was finding the hypotenuse of a triangle people in Mesopotamia were writing in cuneiform on their clay tablets doing the Pythagorean Theorem to find the area of their farmland. These tablets show proof that Babylonians had more practical as well as more advanced math and how experienced they were with numbers....   [tags: influential antient Greek mathematicians]
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Duties of Medical Administrative Assistants - Medical Administrative Assistants Medical Administrative Assistants have numerous of duties in an office setting. Medical Administrative Assistants can get a job in a doctor office or a hospital. Medical Assistants work more in the front of office and hospital assisting patients and checking them in. By knowing some Medical Assistants I know some of their duties are: scheduling patients, greeting patients, doing paper work, handling insurance problems or statements, and also supervising entry. Medical Administrative Assistants may be asked to do take the patient height or blood pressure....   [tags: handling insurance problems, patients] 821 words
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The Teacher Who Changed My Life - “One looks back with appreciation to the brilliant teachers, but with gratitude to those who touched our human feelings. The curriculum is so much necessary raw material, but warmth is the vital element for the growing plant and for the soul of the child.” - - Carl Jung - - It seems like only yesterday--I was a high school student majoring in English with plans someday to become, of all things, a teacher.   I attended a small high school--there were only 140 students in my graduating class--so we were blessed with the same teacher for several consecutive years.  It was not until I found myself in college a few years later that I learned how truly blessed I had been in math.  Mr....   [tags: Personal Narrative, Essay About Myself, 2014] 447 words
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Mathematics Autobiography - Mathematics Autobiography When the school year starts there is laughter and smiles and chaos. Students find out where their friends lockers are and exchange schedules. Everyone hopes to have a few classes together with their friends and then...terror struck. Everyone around me was so happy with their classes but not me. My eyes glared down at my schedule and I saw the unthinkable...Geometry. My heart started to race and the nerves began to kick in, I Julianna Tafuri have geometry… first thing in the morning....   [tags: personal narrative] 560 words
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Standardized Testing Damages Education - Intro The purpose of standardized testing is to help guide the teachers teach students the basics of what they need to know in order to move ahead in school. These tests are standard for core classes in any grade but differ from state to state. For Virginia it’s SOLs (standards of learning) in Arizona it’s AIMS (Arizona’s instrument to measure standards), although the name differs the purpose it the same in all states. These tests are to measure how much the students have learned throughout the year....   [tags: Standardized Testing Essays]
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The Importance of Education: I Was Left Behind - By fourth grade I was already crashing and burning. Almost every student in my class was moving ahead in subjects that I seemed to be understanding less and less by the day. If education were a race where we all started at the same time; than I was quickly becoming the guy falling into last place. Truthfully, math was the beginning of the end for me. Even now, the feeling I get trying to solve simple math problems is one of frustration and embarrassment. I feel like I'm hitting a mental wall. Try to imagine your mind pushing past a barrier that you could not breakthrough regardless of how hard you tried....   [tags: Importance of Education Essays]
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Career Exploration on Becoming a Secondary Mathematics Teacher - Picture this, a young girl wearing her mother’s dress and high heels teaching her dolls, or a young boy running around with a red hat and a garden hose. From an early age, many people dream of what they wish to become when they grow up. A few individuals follow this dream; while others leave it behind as a childhood fancy and proceed to accomplish something completely different. Regardless of whether the career a person chooses was a childhood dream, or one decided on later in life, they should conduct significant research on the career....   [tags: professional career choices]
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Exploring Trendy Underground Music Genres - Have you ever wondered how other genres of music started. Although every style has its own unique sound, they’re somehow related in a small way. As a musician you may try to incorporate their style of playing and tweak it to make it personal and your own. However, there are hundreds of genres to choose from I’ve decided to choose a select few that I’ve found appealing to me. Math rock is a rhythmically complex, guitar-based style of experimental rock music that became known in the late 1980’s. It is distinguished by complex, atypical rhythmic structures including irregular stopping and starting, sharp melodies, and dissonant chords....   [tags: music] 855 words
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The Common Core State Standards - As a student, I always enjoyed math. In high school I took all of the offered math classes, including Calculus. The first math class I took in college was a breeze, and I thought that this one would be no different. What could I learn about elementary school math that I did not already know. Contrary to my expectation, the first day of class, I learned things about math that had never been brought to my attention. This paper will discuss what I have learned about subtraction, about students, about the Common Core State Standards, and how my concept map has changed since my first draft....   [tags: Education]
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Sir Isaac Newton: The Greatest Pioneer of the Renaissance - Who do you think is the greatest pioneer of the Renaissance. Well, before you answer, consider this. Sir Isaac Newton was the greatest pioneer of the Renaissance era. Even though he was not a man famous for the arts and creativity, which is what most people think of when they hear the word Renaissance. he created the Three Laws of Motion, Calculus and influenced many young people in the renaissance idea of Humanism. He was a man of many talents, especially in science and mathematics. Sir Isaac Newton is the greatest pioneer of the Renaissance era for many reasons....   [tags: laws of motion, humanism, inertia]
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A Brief Biography of Gottfried Liebniz - Gottfried Liebniz was known as the last “Universal Genius” until Mr. Fitterer was born that is, but I am assigned to write this essay about Leibniz. Leibniz had many achievements in metaphysics, epistemology, logic, philosophy of religion, as well as mathematics, physics, geology, jurisprudence, and history. A French philosopher named Denis Diderot was even stunned by some of Leibniz’s work, “Perhaps never has a man read as much, studied as much, meditated more, and written more than Leibniz… What he has composed on the world, God, nature, and the soul is of the most sublime eloquence....   [tags: developed Calculus independently from Newton] 563 words
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A Career as a Registered Nurse or Physician Assistant - Nursing RN and physician assistant are the two majors being researched for this paper because they are the two programs that I found most intriguing. I have an interest in these two majors because I wanted to help people in need and make society a stronger and healthier environment for everyone. I want to work with kids and help them not be afraid of doctors or receiving annual check-ups and be able to open up and let me help. The schools I have chosen are City College of San Francisco, Cleveland University, and University of Washington Seattle....   [tags: nursing, phusician assistant]
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Inequality in Education - Are All Children Developing Equally - Inequality in Education Introduction Children are heading off to school today. They will learn math, reading and writing along with other topics that should help each child develop into a well-rounded and highly educated individual. The question of concern, are all children learning and developing equally. Aside from delays that a child may have as an individual, it is possible that children are not getting the same standards across the board. We, as a society, may not see the immediate concern from such inequality; we can look at the past to see that there is a perpetual cycle of inequality that may never change without intervention on behalf of those whom need it now....   [tags: minorities, income, poverty] 1939 words
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Some Areas of Knowledge are Invented, Some Discovered - Humans, as a society, are surrounded by the areas of knowledge which surrounds society and develop intelligence. Invention is a result of human intelligence but discovery is unleashing what already exists. Areas of knowledge consist of many ideas. These areas are either invented or discovered. Invention and discovery formulate the different areas of knowledge. Discovered areas of knowledge include science, history and mathematics. Invented area of knowledge is the arts. Discovery proves the existence of some areas of knowledge....   [tags: knowledge, discovery, invention, ] 1290 words
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New Ways of Thinking in Science and Art - Samuel Johnson stated “Knowledge is of two kinds. We know a subject ourselves, or we know where we can find information upon it” (Richard Van De Lagemaat pg.28). Many philosophers constructed their ideologies by exploring the world around them and for their sense of curiosity. However, as the years passed, many of the theories proven changed due to new information discovered. The reason for these new discoveries to occur was because of “curiosity”. Curiosity opened the doors for inquiry and great ideas or even inventions....   [tags: Philosophy ]
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Lesson for Children with Learning Disabilities - Introduction Learning disability is a term misused severally. In essence, it applies to students who have different learning challenges. Most people associate learning disability to the development of a child, thus assuming that it is a short-term condition and disappears as the person matures. The accepted definition, provided by the National Adult Literacy and Learning Disability Center states that; learning disability is generic and refers to a composite group of disorders that become evident in the person; through observing that they have challenges in the acquisition and use of speaking, listening, reading, reasoning and execution of mathematical concepts, as well as, understanding so...   [tags: Learning Disabilites, Education, Teaching]
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Reaching Students With Learning Disabilities - Placement of a student in your classroom after receiving a diagnosis of one of the 13 types of Specific learning disabilities (SLD’s) may leave you scratching your head as to what the name actually means and how to modify lesson and extend accommodations for it. When a person is learning disabled, they present weakness in the areas of memorizing, producing information (output), organizing it, or taking in information (input). Across learning environments, teachers should know how to deliver services to students to the highest efficacy attainable even where disability names are unfamiliar to the instructor and the IEP team as a whole....   [tags: Special Education] 1985 words
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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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Women in Science Careers - According to a six-year study reviewed by the University of Washington Human Rights Committee, conducted by Suzanne Brainard and Linda Carlin on undergraduate women in science, “20% of freshmen reported no barriers; only 3% of seniors could say the same.”(Bickenstaff 380) This study illustrates a common theme for women studying a science. There is no one defining reason for why women feel there are barriers but several theories suggest that there could be more than one contributing factor that causes these ‘barriers’ for women....   [tags: Gender Roles, Discrimination] 2279 words
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Music Lessons Improve Life - Pianos are such amazingly versatile instruments. They can play fast, fun, and exciting songs, all the way down to slow, peaceful, or gloomy songs. Music can make people calm and relaxed, and also get them pumped up and full of energy. The piano produces music that is different from every other instrument. It has a wide range of sound going from low to high and from soft to loud. Put those sounds in combinations and it could produce music. The piano has a large range of music’s available that most everyone is able to find music that they would like....   [tags: instruments, academics, piano, brain, self-esteem]
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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
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Christopher and Junior’s Journey from Home in The Curious Incident of the Dog in the Night-Time by Mark Haddon - ... P, Junior’s teacher told him he needed to leave the reservation because he had no opportunities if he stayed. “You have to leave this reservation”. (42) Mr. P tells Junior that he has no hope on the reservation. This vital advice convinces Junior to leave the reservation. This is an extremely brave thing to do because Junior is going to have to start a new lifestyle at an affluent high school. Junior attends Rearden, a white public school twenty miles from the reservation. Junior is different from the white students because of his personality, socioeconomic status, and race....   [tags: autism, death, dog]
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Where Dem Girls At: The Disproportionate Number of Men compared to Women in STEM Majors - Although the overall amount of people attending college is increasing, women are nearly invisible in science, technology, engineering, and mathematics, commonly referred to as STEM, majors with “only about 25 percent of STEM degree holders [being] women”. (Sheehy) This severe marginalization of women is caused by of the lack of role models, stereotypes, and misconceptions surrounding these majors. One of the main causes of this lack of women is the lack of female role models. When people think of famous scientists Einstein, Newton, Darwin, and Bill Nye come to mind....   [tags: scientific and technological careers]
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Are we teaching the right things, to the right people, in the right way? - Education, we hear that word quite frequently but what does it mean. Miriam Webster’s Dictionary defines education as “the knowledge and development resulting from an educational process”. Everyone needs some education to be a success in life. The amount and types of education can vary but we all need the basics of reading, writing and math to be successful in life, and to be professional in the workplace. I see education as a step to success in the future. Education ideally results in effective communication, and a successful professional life....   [tags: technology, education] 986 words
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Does Music Help Students While Studying or Doing Homework? - ... The goal of this lab is to evaluate the effect of different music on test subjects taking math and literature tests, and see which music is the most distracting and the most helpful for subjects. . The objectives of this lab are to observe the effect that the pop, country, rock, and classical music have on the test subjects, and to measure the amount of problem marked wrong against the amount of problems not completed during the task. They hypothesis of the experiment is if the test subject is listening to their favorite genre of music, than the amount of problems marked wrong will be greater than if they were listening to their least favorite music....   [tags: mozart, classical music, brain]
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Breaking Gender Stereotypes - “Sugar and spice and everything nice, that’s what little girls are made of.” This is a famous nursery rhyme that is recited by loving parents almost as soon as a child is brought home from the hospital. But does it serve as the backbone for gender stereotypes that permeate our society. Today women make up more than half of college graduates but according to the U.S. Bureau of Labor Statistics (2010) only 13.8% serve as engineers and 24.8% are working in computer and mathematics fields. The resounding question is why aren’t women choosing these occupations....   [tags: Gender Issues]
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