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Advanced Math Solutions - Introduction to prepare for advanced math solutions: Mathematics is mainly considered as the main branches of science. Normally all the mathematical operations like addition, division, multiplication as well as subtraction are easy to do in case of simple problems. Prepare for advanced math problems solution is simple and easy. In this session, we will see how we have to prepare for advanced math solution. Prepare for advanced math solutions: Example problem 1- Prepare for advanced math solutions Calculate the equation of the line using the points (5, - 5) and (4, 1) that passes through the line.... [tags: Math] | 878 words (2.5 pages) |
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Introduction to Solve Math Problems Deductive Reasoning - Introduction to solve math problems deductive reasoning Deductive reasoning is one of the two essential forms of suitable reasoning. The reasoning constructs or evaluates deductive reasoning. While deductive reasoning argues from the general to exacting , similarly inductive reasoning argues from the specific to a general instance. Deductive arguments may be valid or invalid,and sound or unsound, but that are not true or false. Whenever we turn up for the conclusion using facts, definitions, rule, or properties, then it is so called Deductive Reasoning.... [tags: Math] | 508 words (1.5 pages) |
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Use of Math in Auto Racing - Mathematics is found everywhere in life and work and auto racing is no exception. There are many applications of math in racing. The purpose of racing is to win and in order to do that there must be a lot of math involved. If you don’t use math and use it correctly then you will not win. Mathematics is involved in racing in two ways, the car setup and scoring an measurements. The car setup involves tire pressure, down force, wedge, aerodynamic Drag, camber, track bar and valance. The scoring system also uses math.... [tags: mathematics math car racing] | 1265 words (3.6 pages) |
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The Fencing Problem - Math Coursework - The Fencing Problem - Math The task -------- A farmer has exactly 1000m of fencing; with it she wishes to fence off a level area of land. She is not concerned about the shape of the plot but it must have perimeter of 1000m. What she does wish to do is to fence off the plot of land which contains the maximun area. Investigate the shape/s of the plot of land that have the maximum area. Solution -------- Firstly I will look at 3 common shapes. These will be: ------------------------------------------------------ [IMAGE] A regular triangle for this task will have the following area: 1/2 b x h 1000m / 3 - 333.33 333.33 / 2 = 166.66 333.33Â² - 166.66Â² = 83331.11 Square root of 83331.11 = 288.67 288.67 x 166.66 = 48112.52Â² [IMAGE]A regular square for this task will have the following area: Each side = 250m 250m x 250m = 62500mÂ² [IMAGE] A regular circle with a circumference of 1000m would give an area of: Pi x 2 x r = circumference Pi x 2 = circumference / r Circumference / (Pi x 2) = r Area = Pi x rÂ² Area = Pi x (Circumference / (Pi x 2)) Â² Pi x (1000m / (pi x 2)) Â² = 79577.45mÂ² I predict that for regular shapes the more sides the shape has the higher the area is.... [tags: Math Coursework Mathematics] | 1134 words (3.2 pages) |
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Use of a Portfolio to Assess Students in Math and Science -
Use of a Portfolio to Assess Students in Math and Science For a young child, going off to school can be an intimidating experience. Thoughts of whether the other children will like them, if they will have enough money to buy an ice cream at lunch, or if they will have homework that night overwhelms their minds. However, a major part of schooling is testing, and many children freeze when they hear that word. Think about yourself in a testing situation then imagine what it is like for a young child to feel this defeating anxiety.... [tags: Assessing Children Math Science]
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2879 words (8.2 pages) |
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Math Facts - ... The push to master facts by a certain age and prior to moving on to more complex math is most controversial with parents and teachers of gifted students. These students are often thought to be bored by simple, basic math concepts. Although “some of the very highest areas of math do not require automaticity of basic math facts, they do require automaticity of the skills that fall somewhere in between them and single-digit addition, and that those skills are very difficult to master and to automatize when the basic stuff isn't firmly in place” (Yermish, 2011).... [tags: Education, The Arithmetic Gap] | 1877 words (5.4 pages) |
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Math Solutions - Introduction to solve math solutions manual: The topic of “solve math solutions manual”, are seen below with some related problems and solutions. In mathematics, there are many chapters included such as number system, fraction, algebra, functions, trigonometry, integral, calculus, matrix, vector, geometry, graph etc. We can understand how to solve the problems using formulas and some operations. Let us discuss some important problems below in different concepts. Example problems – Solve math solutions manual Example problem 1 – Solve math solutions manual Simplify the expression: (5k2 - 8k + 6) + (3k2 + 5k - 4) - (2k2 + 6k + 8) Solution: In this problems, the given polynomials are (5k2 - 8k + 6) + (3k2 + 5k - 4) - (2k2 + 6k + 8) We need to simplify the given polynomial values First we need to arrange the given polynomial values = (5k2 - 8k + 6) + (3k2 + 5k - 4) - (2k2 + 6k + 8) Multiply the minus sign with the third parenthesis values = (5k2 - 8k + 6) + (3k2 + 5k - 4) + (- 2k2 - 6k - 8) = 5k2 - 8k + 6 + 3k2 + 5k – 4 - 2k2 - 6k - 8 = 5k2 - 8k + 6 + 3k2 + 5k – 4 - 2k2 - 6k – 8 = 5k2 + 3k2 - 2k2 - 8k + 5k - 6k + 6 – 4– 8 = (5k2 + 3k2 - 2k2) – (8k + 5k - 6k) + (6 – 4 – 8) Simplify the first parenthesis values = (6k2) – (8k + 5k - 6k) + (6 – 4 – 8) [5k2 + 3k2 - 2k2 = 6k2] Simplify the second parenthesis values = (6k2) – (7k) + (6 – 4 – 8) [8k + 5k - 6k = 7k] = (6k2) – (7k) + (-6) [6 – 4 – 8 = -6] = 6k2 -7k - 6 Answer: 6k2 -7k - 6 Example problem 2 – Solve math solutions manual If the value A = {21, 22, 23, 24, 25}, B = {25, 26, 27} and C = {27, 28, 29}, prove the distributive law.... [tags: Mathematics] | 604 words (1.7 pages) |
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Math Coursework - The Fencing Problem - The Fencing Problem A farmer has 1000m of fencing and wants to fence off a plot of level land. She is not concerned about the shape of plot, but it must have a perimeter of 1000m. So it could be: [IMAGE] Or anything else with a perimeter (or circumference) of 1000m. She wishes to fence of the plot of land with the polygon with the biggest area. To find this I will find whether irregular shapes are larger than regular ones or visa versa. To do this I will find the area of irregular triangles and a regular triangle, irregular quadrilaterals and a regular square, this will prove whether irregular polygons are larger that regular polygons.... [tags: Math Coursework Mathematics] | 909 words (2.6 pages) |
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Math Coursework - The Fencing Problem - The Fencing Problem Aim - to investigate which geometrical enclosed shape would give the largest area when given a set perimeter. In the following shapes I will use a perimeter of 1000m. I will start with the simplest polygon, a triangle. Since in a triangle there are 3 variables i.e. three sides which can be different. There is no way in linking all three together, by this I mean if one side is 200m then the other sides can be a range of things. I am going to fix a base and then draw numerous triangles off this base.... [tags: Math Coursework Mathematics] | 1214 words (3.5 pages) |
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Math Coursework - The Fencing Problem - The Fencing Problem Introduction A farmer has exactly 1000 metres of fencing and wants to use it to fence a plot of level land. The farmer was not interested in any specific shape of fencing but demanded that the understated two criteria must be met: · The perimeter remains fixed at 1000 metres · It must fence the maximum area of land Different shapes of fence with the same perimeter can cover different areas. The difficulty is finding out which shape would cover the maximum area of land using the fencing with a fixed perimeter.... [tags: Math Coursework Mathematics] | 657 words (1.9 pages) |
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Math Manipulatives - A Positive Outlook on Math Manipulatives Math manipulatives have been around for years, but are now becoming increasingly popular amongst educators. Math manipulatives include anything from buckets of pattern blocks, trays of tiles, and colored cubes to virtual manipulatives, or manipulatives colored and cut out by the students themselves. All of these materials can help assist in tangibly teaching children math concepts and by pulling math off the page and into the hands of students. For a child to be verbally and physically taught a math concept allows them to think, reason, and solve problems with the teacher's guidance as well as on their own.... [tags: Mathematics] | 1007 words (2.9 pages) |
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Math and Music - Math and Music When you listen to a piece of music you usually don’t think of math, but the two are interlinked and music always involves math even though we don’t always realize it. When musicians play music they are using mathematical formulas to play. There are formulas for making cords, scales and a formula for the what notes they play. Musical notation also involves math, you use time signatures while playing along to a piece of music which are basically just fractions, 3/4,7/4, and 4/4 are all time signatures.... [tags: Papers] | 451 words (1.3 pages) |
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Egyptian Math -
Egyptian Math The use of organized mathematics in Egypt has been dated back to the third millennium BC. Egyptian mathematics was dominated by arithmetic, with an emphasis on measurement and calculation in geometry. With their vast knowledge of geometry, they were able to correctly calculate the areas of triangles, rectangles, and trapezoids and the volumes of figures such as bricks, cylinders, and pyramids. They were also able to build the Great Pyramid with extreme accuracy. Early surveyors found that the maximum error in fixing the length of the sides was only 0.63 of an inch, or less than 1/14000 of the total length.... [tags: History Mathematics Research Papers]
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1038 words (3 pages) |
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The History of Math - The History of Math Mathematics, study of relationships among quantities, magnitudes, and properties and of logical operations by which unknown quantities, magnitudes, and properties may be deduced. In the past, mathematics was regarded as the science of quantity, whether of magnitudes, as in geometry, or of numbers, as in arithmetic, or of the generalization of these two fields, as in algebra. Toward the middle of the 19th century, however, mathematics came to be regarded increasingly as the science of relations, or as the science that draws necessary conclusions.... [tags: Mathematics Education Logic Numbers Essays] | 4777 words (13.6 pages) |
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The History of Math - The history of math has become an important study, from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. Mathematics started with counting. In Babylonia mathematics developed from 2000B.C. A place value notation system had evolved over a lengthy time with a number base of 60. Number problems were studied from at least 1700B.C. Systems of linear equations were studied in the context of solving number problems. The basic of mathematics was inherited by the Greeks and independent by the Greeks beg the major Greek progress in mathematics was from 300 BC to 200 AD.... [tags: essays research papers] | 810 words (2.3 pages) |
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Math is the Universal Language - ... Although knowledge of complicated math may not be necessary in some lines of work, many professions require specific knowledge of algebraic equations, calculus, or trigonometry to complete job tasks. For example, nurses need to convert grams to milligrams for drug dosages or be able to calculate the number of drops per minute for an IV should computerized equipment not be available. Also airline pilots need to be able to calculate landing speeds, glide slopes, and what degree of flaps to deploy for a safe landing in an emergency situation.... [tags: argumentative essay] | 807 words (2.3 pages) |
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Solving Math Solutions Manuals - Introduction to solving math solutions manuals: The topic of “solving math solutions manuals”, are discussed below with some related problems and solutions. In mathematics, there are many chapters included such as number system, fraction, algebra, functions, trigonometry, integral, calculus, matrix, vector, geometry, graph etc. We can understand how to solve the problems using formulas and some operations. We can solve the math problems easily without using any electronic devices. Let us discuss some important problems below in different concepts.... [tags: Mathematics] | 619 words (1.8 pages) |
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Integrating Science and Math Into The Classroom -
... This unit also provided activities for the students to construct models, by having the students make clay apple to make fractions from the story, and by having the student construct a model of the apple life cycle. Differentiation Strategies Tomlinson, 2003 defines differentiated instruction is as, “when a teacher proactively plans varied approaches to what students need to learn, how they will learn it, and/or how they can express what they have learned in order to increase the likelihood that each student will learn as much as he or she can as efficiently as possible” (p.... [tags: Education ]
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1401 words (4 pages) |
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“Writing to Learn” in a Math Classroom -
... Second, these activities allow students to clarify their learning and they engage students in the lessons (Vacca et al., 2011). Through these small writing activities, students can write freely, without much emphasis on spelling or grammar, but rather on their understanding of the subject matter in their own words. Furthermore, it allows students to investigate and make sense of their learning through writing. Lastly, “write to learn” activities allow all students, specifically English Learners, practice English writing skills and vocabulary in multiple contexts.... [tags: Education, mathematics]
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891 words (2.5 pages) |
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Sex, Math and Science: Exploring the Gender Gap in Math and Science -
... They point to several ways in which one’s identity may be threatened which included the fear of being discriminated, ratifying harmful stereotypes or worse being unappreciated and underrepresented in the STEM field (477). They conclude that despite the fact that there are other social factors which explain one’s interest in a field, their research points to having a sense of likeness to the people within the same discipline as a key predictor of females interest in that field (484). In the same way, Sapna Cheryan in "Understanding the Paradox in Math-Related Fields: Why Do Some Gender Gaps Remain While Others Do Not?" (2012) puts forward that despite the fact that women are excelling in math in the classroom, there is still a gap in the number of women in math related fields.... [tags: Education]
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1170 words (3.3 pages) |
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Math strategies for special education students -
... The math instruction using the EAI method used a video anchor to enhance instruction. The use of technology in EAI provides students with learning disabilities access to a wide range of math tasks that previously were unattainable due to learning deficits (Maccini & Strickland, 2010). The video gave students a visual representation of the types of math problems they were working on. Students were allowed time to discuss how they might best solve each math problem. If they had difficulty understanding how to go about MATH STRATEGIES FOR SPECIAL EDUCATION STUDENTS solving a problem the teacher would intervene and provide more detailed instruction.... [tags: Education]
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1158 words (3.3 pages) |
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Solution of the Cubic Equation - Solution of the Cubic Equation The history of any discipline is full of interesting stories and sidelines; however, the development of the formulas to solve cubic equations must be one of the most exciting within the math world. Whereas the method for quadratic equations has existed since the time of the Babylonians, a general solution for all cubic equations eluded mathematicians until the 1500s. Several individuals contributed different parts of the picture (formulas for various types of cubics) until the full solution was reached; these men included Scipione dal Ferro, Nicolo Tartaglia, Girolamo Cardan, and Lodovico Ferrari.... [tags: Math] | 975 words (2.8 pages) |
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Trigonometry in Daily Life -
Introduction to Trigonometry in daily life Trigonometry is one of the branches of mathematical and geometrical reasoning that studies the triangles, particularly right triangles The scientific applications of the concepts are trigonometry in the subject math we study the surface of little daily life application. The trigonometry will relate to daily life activities. Let’s explore areas this science finds use in our daily activities and how we use to resolve the problem. Usages in daily life Trigonometry and vector in math to deal with progress through water/air currents.... [tags: Math ]
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416 words (1.2 pages) |
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The History of Mathematics in Africa -
... However, the Ishango bone appears to be much more than a simple tally. The markings contain the prime numbers between 10 and 20.” Around 7000 BC, people in Egypt and further south in Sudan began to use clay tokens to count things. They probably got the idea from West Asia, where people began using tokens earlier. “Thus by this early period in the development of civilization, humans' mnemonic devices were already forming. The bones, discovered in the late 60s and early 70s, uses a method of marking, in which an elongated stick or bone was engraved with a series of marks, offering an analog measure of individual events.” By 3000 BC, people in Egypt were using hieroglyphs to write numbers.... [tags: Math ]
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1439 words (4.1 pages) |
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Chaotic Behavior Of The Logistic Equation -
Abstract Chaotic systems are nonlinear dynamical systems that exhibit a random, unpredictable behavior. Trajectories of chaotic dynamical systems are sensitive to initial conditions in the sense that starting from slightly di®erent initial conditions the trajectories diverge expo- nentially. To study chaos, the behavior of solution to logistic equation is considered. In this paper, for di®erent parameters, the solutions for the logistic equation is analyzed. At a certain point, the solution di- verges to multiple equilibrium points, the periodicities increase as the parameter increases.... [tags: Math]
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1702 words (4.9 pages) |
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Vertex-Edge Graphs Tutoring - Introduction to vertex-edge graphs tutoring: Vertex-edge graph is a very interesting and important part of discrete mathematics. The graphs have group of shapes or objects called as vertices and other group whose elements are called as nodes or edges. The node or edge having the same vertex it’s starting and ending both vertices is known as self-loop or simply a loop. If there is one or more than one edge is connecting a given pairs of vertices then they are called as parallel type edges.... [tags: Math] | 831 words (2.4 pages) |
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Are Asians More Proficient in Math and Science - Minorities will increasingly surpass Whites in the labor force, which not only means they will significantly impact the trend of the economy, but will, also, become critical for recruiting in high demand industries. Minorities had better opportunities to prosper than they had in the past, which allowed US to reach an eminent moment of electing their first African-American President and appointing their first Hispanic Supreme Court justice. Many minorities are increasingly educated and participating in business, science, and technical innovation as well as, enjoying their middle to high income status.... [tags: American Education] | 813 words (2.3 pages) |
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Math And Owning A Restaraunt - Math is an essential asset in the business world. Without mathematics businesses wouldn’t be able to operate effectively. In order to run a restaurant math plays an important role in a lot of different areas. For instance the items on the menu may change due to the way it sells. Bookkeeping and math allow you to both figures out what items are profitable and what items are selling. The business world revolves around math, from profit and loss statements, to graphs, to taxes. Everything in business requires mathematics.... [tags: essays research papers] | 788 words (2.3 pages) |
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my experiance with math - This course had forced me to analyze the psychological effects one’s negative thinking has in impacting the ability to embrace a situation that originally may be perceived as fear. My first obstacle with this course was to admit to myself that I had created my own fear of math. I had fully produced what I now view to be a huge challenge. The inevitable had finally arrived. I had postponed my taking this math class for close to ten years. I was now at age 29 sitting in a math class that I had avoided through out my collegial career.... [tags: essays research papers] | 734 words (2.1 pages) |
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Gender Equity in Math and Science -
Gender Equity in Math and Science From the research I have read while there is a disagreement on when and how much of a gender gap exists in math and science, there is definitely an equity issue that needs addressing. There seems to be an abundance of information about equity issues and as a future teacher I feel that it is important to examine these issues. If gender equity issues exist in today's’ classrooms why do they and what can be done to help correct it. Everything I've read so far states that a gender gap exists in science, while opinions about math vary.... [tags: Essays Papers]
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2559 words (7.3 pages) |
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English Vs Math - English Vs. Math To most people English or Language Arts is a creative course and math is just a logical, you get it or you don’t class. My purpose writing this paper is to change your mind. I believe that Math is just as, or more creative than English. I will demonstrate this through a couple of examples. First, we must understand what is behind the creative aspect in English. Most people consider that English is the, ‘creative,’ subject because of titles such as ‘creative writing’ and ‘creative thinking’ and in contrast there is no creative something in math.... [tags: essays research papers] | 636 words (1.8 pages) |
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Math Changed My Life - College Admissions Essays - Math Changed My Life I enjoyed mathematics in grade school. When I started my high school mathematical studies with Calculus and Analytic Geometry, by George B. Thomas, a whole new vista opened to me. The mathematical concepts contained in this book combine with the principles of physics to form the basis for most engineering disciplines. There is a beauty to mathematical concepts presented in an orderly and intelligible way. This text challenged my imagination and my intellect.... [tags: College Admissions Essays] | 182 words (0.5 pages) |
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Encouraging Girls in Math and Science -
Encouraging Girls in Math and Science An ideal classroom in an elementary school would allow both boys and girls to learn fairly, equally, and also be encouraged to be involved in the classroom. The teacher would expect the same effort from the boys as well as the girls. The teacher would implement a respectful atmosphere where the teacher as well as the students would respect one another. The reality is that girls quickly become discouraged to pursue math and/or science related careers.... [tags: Essays Papers]
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1584 words (4.5 pages) |
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Math Research Paper -
Math Research Paper Since the 1980’s calculator use in the classroom has been a huge controversy between educators (Golden, 2000). It is becoming increasingly common to use calculators in the classroom on a regular basis. Some states allow students to use calculators on standardized tests and as part of the regular curriculum (Dion, 2001). Because we live in such a technologically changing world, hand held calculators have been far surpassed and can be purchased for as low as $4.00 each. This low price however, has not swayed the many people that believe calculators are not appropriate in the classroom.... [tags: Essays Papers]
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1462 words (4.2 pages) |
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Women in the Math World - Women in the Math World Works Cited Not Included Math is commonly known as the man’s major. Many college math professors are men and the same goes for their students. "One study revealed that women accounted for 15% of students in computer science, 16% in electrical engineering,. . . Gender splits in the faculty were similar" (Cukier). There are few women that have made an impact on the math society compared with the number of men. A person can ramble off names such as Isaac Newton, Albert Einstein, Pythagoras of Samos, and Jean-François Niceron.... [tags: Papers Females Mathematics Essays] | 1239 words (3.5 pages) |
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The New Math of Gambling - The New Math of Gambling The article "The New Math of Gambling" in Discover Magazine May 2000 was an article that shows the use of software, math and a few hours of time to beat the house when gambling. These life stories and achievements the individuals have are truly remarkable and real. The article begins with Anthony Curtis who is a blackjack conqueror. He is a regular gambler at the Binion's Horseshoe tables in Las Vegas. He was once a rugby player turned publishing guru of the Huntington Press.... [tags: Papers] | 511 words (1.5 pages) |
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Math Is The Language Of The Un - Mathematics, the language of the universe, is one of the largest fields of study in the world today. With the roots of the math tree beginning in simple mathematics such as, one digit plus one digit, and one digit minus one digit, the tree of mathematics comes together in the more complex field of algebra to form the true base of calculations as the trunk. As we get higher, branches begin to form creating more specialized forms of numerical comprehension and schools of mathematical thought. Some examples of these are the applications into chemistry, economics and computers.... [tags: essays research papers] | 1218 words (3.5 pages) |
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Math in Medieval Times - Math in Medieval Times Math in Medieval times was evident at Stonehenge. Stonehenge and its purpose remains an mystery even now, more than 4,000 years after it was first constructed. It could have been a temple, an astronomical calendar, or guide to the heavens. Despite the fact that we don't know its purpose for certain, Stonehenge acts as a prehistoric timepiece, allowing us to theorize what it would have been like during the Neolithic Period, and who could have built this ancient wonder. Stonehenge stands on open land of the Salisbury Plain two miles west of the town of Amesbury, Wiltshire, in Southern England.... [tags: Papers] | 640 words (1.8 pages) |
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Math Lesson Plan - Grade Level: 4 Time: 40 minutes Subject: Math Topic: Dividing and Multiplying to Find Equivalent Fractions NY State Learning Standards: Mathematics, Science, and Technology Standard 1: Analysis, Inquiry, and Design • Students will use mathematical analysis and scientific inquiry to seek answers and develop solutions. Materials: Mathematics Textbooks (page 401) Notebooks Pencils Different colored chalk Objectives: Students will be able to name and write equivalent fractions by multiplying and dividing.... [tags: essays research papers] | 344 words (1 pages) |
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Women in Science, Math, and Engineering -
Women in Science, Math, and Engineering The statistics can be somewhat startling, while women receive 56% of BA degrees in the United States, they receive only 37% of the Science, Mathematics, and Engineering (SME) bachelor degrees (Chang, 1). As scary as the statistics on women are, they only point to an even bigger problem among all SME majors. According to one study, there is a 40% decline in the number of undergraduate science majors between the first and senior year of college (Didon, 336).... [tags: Work Careers Papers]
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3310 words (9.5 pages) |
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The Role of the Proof in Math -
The Role of the Proof in Math The notion of proof has long played a key role in the study of mathematics. It is in my opinion the role of proof that separates mathematics from the sciences and other fields of study. It is the existence of proofs that give mathematicians the confidence that their work is credible and thus allows them to continue to build upon prior work without the need to second guess what has previously been accomplished. Based upon this observation, it becomes natural to ask the questions pertaining to the use of proof in learning and understanding mathematics.... [tags: Mathematics Mathematical Papers]
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Math Lesson Plan - Lesson Plan Guide Topic: Math (To investigate and explore multiplication facts) Objectives In this activity, students will investigate and explore multiplication facts. The students will: • Work in groups to device a plan for making a multiplication matrix • Construct a multiplication matrix • Reflect on the patterns they observe in the matrix Material For each group • 1 cm grid paper • full sheets of paper • glue • scissors For the class • 36” X 48” butcher paper Preparation • Make approximately 10 copies of 1 cm grid paper on colored paper for each group of students.... [tags: essays research papers] | 493 words (1.4 pages) |
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Math Fencing Project - Math Fencing Project I have to find the maximum area for a given perimeter (1000m) in this project. I am going to start examining the rectangle because it is by far the easiest shape to work with and is used lots in places (most things use rectangles for design- basic cube .etc). To start with what type of rectangle gives the best result. A regular square or an irregular oblong. I start by having 4 individual squares. [IMAGE] [IMAGE] [IMAGE] [IMAGE] [IMAGE][IMAGE] Goes to [IMAGE] [IMAGE] Regular square irregular oblong Now look at how many sides are exposed on each shape- Ã¥ sides of each cube internal1 Ã¥ sides of each cube internal2 [IMAGE][IMAGE]Ratio for square = ratio for oblong = Ã¥ sides of each cube exposed1 Ã¥ sides of each cube exposed2 2 Â´4 (1 Â´ 2) + (2 Â´ 2) [IMAGE][IMAGE] = = 2 Â´ 4 (3 Â´ 2) + (2 Â´ 2) = 1 = 0.6 This can be further done by having more squares (to show that the more irregular a square is the less area it has for that given perimeter.... [tags: Papers] | 1125 words (3.2 pages) |
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Math Investigation of Painted Cubes - Math Investigation of Painted Cubes Introduction ============ I was given a brief to investigate the number of faces on a cube, which measured 20 small cubes by 20 small cubes by 20 small cubes (20 x 20 x 20) To do this, I had to imagine that there was a very large cube, which had had its outer surface painted red. When it was dry, the large cube was cut up into the smaller cubes, all 8000 of them. From there, I had to answer the question, 'How many of the small cubes will have no red faces, one red face, two red faces, and three faces?' From this, I hope to find a formula to work out the number of different faces on a cube sized 'n x n x n'.... [tags: Papers] | 2967 words (8.5 pages) |
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Beyond Pythagoras Math Investigation - Beyond Pythagoras Math Investigation Pythagoras Theorem: Pythagoras states that in any right angled triangle of sides 'a', 'b' and 'c' (a being the shortest side, c the hypotenuse): a2 + b2 = c2 [IMAGE] E.g. 1. 32 + 42= 52 9 + 16 = 25 52 = 25 2. 52+ 122= 132 3. 72 + 242 = 252 25 + 144 = 169 49 + 576 = 625 132 = 169 252 = 625 All the above examples are using an odd number for 'a'. It can however, work with an even number. E.g. 1. 102 + 242= 262 100 + 576 = 676 262 = 676 N.B.... [tags: Papers] | 1011 words (2.9 pages) |
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Math Statistics Project - Math Statistics Project My main factor I am investigating is going to be weight. For the majority I aim to investigate the effect of weight on height. I am also going to look at the frequency of different weight groups among people. Â· The height will be measured in cm. I will keep it continuous by not asking the people to place their heights into groups, but instead enter their heights. This will be Quantitive data. Â· The weight will be measured in cm. I will keep it continuous by not asking the people to place their weights into groups, but instead enter their weights.... [tags: Papers] | 2534 words (7.2 pages) |
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Math’s Coursework - Math’s Coursework Statistics Planning Investigation I have been given a survey of the Boy’s of the Oratory School. The survey consists of the boy’s pulse, height and weight. I have made two hypotheses: 1. The lower the pulse, the taller you are. 2. The taller you are, the higher your weight is. My reasons behind hypotheses 1 is because the lower your pulse normally means you are fit and sporty, most sporty people are reasonably tall. My reason behind hypotheses number 2 is because you are bigger and therefore should have a reasonable amount of weight compared to someone who isn’t that tall.... [tags: Papers] | 804 words (2.3 pages) |
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Math Borders Investigation - Math Borders Investigation Figure below shows a dark cross-shape that has been surrounded by white squares to create a bigger cross-shape; The bigger cross-shape consists of 25 small squares in total. ------------------------------------------------------------- The next cross-shape is always made by surrounding the previous cross-shape with small squares. Part 1- Investigate to see how many squares would be needed to make any cross-shape built in this way. Part 2- Extend your investigation to 3 dimensions.... [tags: Papers] | 1602 words (4.6 pages) |
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Math Hidden Faces Investigation - Math Hidden Faces Investigation In this coursework I would be investigating the number of hidden faces in different cubes and cuboids. I would provide predictions to make sure I get the right results. After that I would provide diagrams of the cubes and I would explain how I found it. In each section of a set of cubes I would provide formula's that I would find. I would also give information that the pattern carries on. The reason why I am doing this investigation about cubes is because to find the hidden faces and total faces which would be added near the diagrams.... [tags: Papers] | 1036 words (3 pages) |
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Core Math Investigation - Core Math Investigation 1) When x is more than 0 and increases (e.g. from 5 to 6), y increases at a much faster rate and becomes very big. When x increases when it is less then 0 (e.g. from –10 to –9), y increases very slowly. 2) (i) The value of a affects the value of x proportionally. For example we can compare the equations y = 1 + 2x and y = 5 + 2x. In the second equation, the value of a has been change to 5. As we can see from the results in Tables 1 and 2, all the values of y for y = 5 + 2x are greater by 4, when x is the same.... [tags: Papers] | 713 words (2 pages) |
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Math -
How the Renaissance had an effect on western Europe The Renaissance was significant on the development of Western Europe and the Impact it had was immense. The Renaissance not only influenced the worlds of art, music, and literature, but also the worlds of politics, religion, and society. During the Renaissance, advancements were made in several areas of technology and in thought. The Renaissance was a key in the development of Western Civilization. The Renaissance is a term that was coined in the 19th century to describe a period in which art and literature flourished in Europe, but there were so many significant changes during this time period that the term Renaissance began to mean all the developments during this time period.... [tags: essays research papers fc]
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Math - Why We Have Computers Input/Output Because computers can display and deal with text, they offer “communication with human beings—communication that far surpasses the numeric display of the common desktop calculator. This communication is achieved through input/output, or I/O. I/O provides the basis for all the work the computer does. Computers work by dealing with data. You put data into the computer, and it spits something useful back out, for example: Word Processing: You input text and manipulate it by using word processing software.... [tags: essays research papers] | 374 words (1.1 pages) |
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What I’ve Learned About Math Operations -
... If a problem is 32 – 16, one of the three tens must be broken up into units in order to subtract; being able to see 32 as 3 tens and 2 ones and as 2 tens and 12 ones is what makes the problem doable. Place value and unitizing have much to do with a comprehension of base ten, but they are not singular to base ten. One could apply the idea of place value and unitizing to base five for example. The number 18510 would be written as 12205. The place values would then be 125, 25, 5, and 1 (instead of 1000, 100, 10, and 1), and 12205 would be understood as one 125, two 25s, and two 5s.... [tags: Education, Mathematics]
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United States vs. Japan in Math and Science - Over the years, tests have determined that the United States has not improved in math and science compared to Japan. Both countries have a different approach towards school. This might be the reason why American students are doing so poorly in math and science. American education should be compared to Japanese so that both can learn from each other because even though American scores are down they still have great ways to educate students. Differences that they have are ability vs. effect, teaching techniques, and parenting.... [tags: American Education, Japanese Education] | 862 words (2.5 pages) |
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Secondary Math: Video- Variables and Patterns of Change - Secondary Math: Video- Variables and Patterns of Change Variables and Patterns of Change video (Annenberg Media, 2004) follows two teachers, Ms. Green and Ms. Novak, as they begin their school year teaching high school math. Throughout my paper, I plan to show the elements of a non-threatening learning environment as well as the importance of having a non-threatening learning environment. Additionally, I will discuss the similarities and differences between the teacher’s methods in the video. I will explain how the methods are effective and how I would expand on their class lessons.... [tags: Educationi] | 884 words (2.5 pages) |
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Male Superiority In Math: Fact or Fiction? -
Male Superiority In Math: Fact or Fiction. One true mystery of mathematics is the small number of female mathematicians. When most people think of mathematicians, they automatically assume that they are male. This leads to the idea that boys are mathematically superior to girls, which has long been a popular belief. Recent studies, however, may prove this to be wrong. The fact is that there are numerous female mathematicians who have made very important contributions to the mathematical world throughout history.... [tags: Argumentative Persuasive Papers]
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My Math Teacher, Mrs. Ladd - My Math Teacher, Mrs. Ladd When thinking back and remembering all of the teachers that I have had in the past, there is one in particular that comes to mind. Her name was Mrs. Ladd. She taught math at the junior high school. Mrs. Ladd was not the most popular, funniest, hardest, easiest, nicest, nor the meanest teacher. I remember her for some other reasons. When I think of Mrs. Ladd, I think about how hard she made me work. But I also think about how she made me challenge myself. Most of all, I remember how she influenced me.... [tags: Personal Narratives Mathematics Essays] | 1867 words (5.3 pages) |
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Human Vision and the Eye - ABOUT THE EYE Human eyes receive and form images from outside, also automatically changes in light and seeing things close up and at a distance. Therefore, we can see most of things from outside world. But without light, we can't see anything. Light travels though space and the sun gives off light rays then enter the eyes they are bent or refracted and these light rays create images or picture of all the objects around you, that's why we can see things very clearly. How light enter the eye, first light enters the eye though pupil which control different amounts of light into our eye.... [tags: Math] | 574 words (1.6 pages) |
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Math Perceptions of Taiwanese and American children -
Article Critique The objective of this article critique is to review and evaluate several empirical studies which have examined mathematics perception cross-culturally. The main study that focuses on examining mathematics perception cross-culturally is a study that was done in 2004 by Dr. Yea-Ling Tsao. In this study, researchers proved that Taiwanese students consistently score higher in cross-national studies of achievement than American students. Several other studies were done that also support this theory.... [tags: essays research papers fc]
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My Interest in Science, Math and Computers - "Belief is the natural attitude of a thwarted mind" This quotation is from a rather outspoken mathematician named Scott Buchanan, who has studied the style of human thought right along with its mathematical accomplishments. It is meant to describe our style of thinking when approaching mathematics. Yet it seems to me that it has a larger meaning: that it applies to the human style of thought when approaching any problem. Buchanan is telling us that when we are confronted with a problem and a possible solution and we cannot find our way to the solution, we have a tendency to believe in the solution out of pure frustration, or perhaps just wishful thinking.... [tags: college admissions essay] | 743 words (2.1 pages) |
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Differences in Math Learning and Aptitude Between Boys and Girls - Differences in Math Learning and Aptitude Between Boys and Girls The topic of my research has been differences in math learning and aptitude between boys and girls. This topic was suggested to me by my mentor, Mike Millo, as it is of particular interest to him. Mr. Millo is an Algebra teacher at Ball High. Much has been made of gender differences in math by the popular media and Mr. Millo felt that it would be interesting to examine this topic and explore the findings of educational researchers.... [tags: Papers] | 1550 words (4.4 pages) |
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The Correlation Between Music and Math: A Neurobiology Perspective -
The Correlation Between Music and Math: A Neurobiology Perspective I remember the first time I heard the statement ¡° Did you know that listening to classical music enhances your mathematical abilities?¡± I was both intrigued and excited, intrigued because I did not understand how music and math, two seemingly unrelated subject could possibly affect each other. I was also excited because I began to view classical music as some kind of magical potion that would transform my math skills from decent to extraordinary.... [tags: Biology Essays Research Papers]
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Special Education Students' Placement and Performance Outcomes on Math Assessments -
... Yang, Shaftel, Glasnapp, and Poggio (2005), reported that students across all disability categories are more alike than different when using general mathematical skills. Cole, Mills, Dale, and Jenkins (1991) had previously suggested that different instructional strategies were not necessary for students with aptitude differences, but these strategies were needed for cognitive functioning deficits. A further consideration of these findings could be the lack of content knowledge special education teachers possess in the area of mathematics and would make one wonder if a resource room is not an Special Education Students' Placement and Performance Outcomes on Math Assessments academic placement for special education students with the cognitive ability to be successful in a general education classroom especially in the area of mathematic instruction. Statement of the Hypothesis: Previous limited research has shown special education students perform at higher proficiency rates when instructed by a teacher that is highly qualified in a given subject area.... [tags: Special Education ]
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Group Project Analysis: Creating a Board Game that Teaches Math and Vocabulary Skills - THE IDEA (Day One): Creating a Board Game that teaches math and vocabulary skills. Similar to Monopoly, which uses a spinner, cards, and a game board will various squares, our game board will have squares color coated to various subjects (blue for math, yellow for English/vocabulary, green for science, and red for Social Studies/History). The child would would spin the spinner and, having a marker in the shape of a car, would move the appropriate number of squares that it says on the spinner (for example, if you spin a three on the spinner, you move three spaces forward).... [tags: elementary education, early education, ] | 927 words (2.6 pages) |
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Massage Therapy Reduces Anxiety and Enhances EEG Patterns of Alertness and Math Computations -
So many people in the world talk about how beneficial massage can be and that it makes you feel more relaxed. They say that if you receive massage, even just once a month, that it could help you in many different aspects of your life, such as helping depression, lessening anxiety, becoming more relaxed more often, and that it can help you become less stressed in your day to day life. In this research study, the researchers hypothesize that massage would have an effect on anxiety, depression, and alertness.... [tags: Health]
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1315 words (3.8 pages) |
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Why is Gender Inequity an Issue in Math and Science Classrooms? - Why is Gender Inequity an Issue in Math and Science Classrooms. Gender Inequity has been a growing subject in America’s schools, especially in the fields of math and science. Gender is defined as sexual identity, especially in relation to society or culture (Lexico, 2001) Inequity is defined as injustice; unfairness (Lexico, 2001). Gender Inequity in our schools has been based on the findings that females aren’t getting the attention and grades required for them to do well in math and science. Why is this and what can we do about it.... [tags: ] | 2197 words (6.3 pages) |
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The Great Pyramid at Giza: The Use of Advanced Math and Science Within its Design -
... Ultimately, without the technological advances of ramps, coupled with pulleys and other systems, this would have been an immensely difficult or impossible task, and would have taken many more workers and hours. As a result of these advances, the Egyptians have created one of the most intriguing and interesting structures of the past. Another component involving mathematics and science is found less in the physical construction, but within the design. When looking at the pyramid, its profile can be broken into two similar, right triangles when split in half [Figure #3].... [tags: Architecture]
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Mathematics Curriculum Research for K-6 Students -
Mathematics Curriculum Research for K-6 Students An effective curriculum uses essential mathematical ideas in a way that students can understand how new concepts build on existing knowledge of concepts to learn to solve problems. Students must be taught a variety of concepts that are important to success in future grades without wasting their time. Curriculum issues discussed in this paper are (a) influence on mathematics content in the past 25 years, (b) development of mathematics curriculum, (c) mathematics that should be taught, and (d) problems with U.S.... [tags: Math Education, math]
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Statement of Purpose: My Interests in Math, Physics, Statistics and Computer Science - ... Accordingly, I received admiration from family and friends from this struggling process of adaptation. Day by day, I wrote programs, dealt with errors, rewrote programs, over and over again. The process was dull and offered no glorious anecdotes. It was the time I spent working on the most fundamental problems and the piles of books borrowed from the library that constituted the foundation of my future progress. During the debugging and reviewing, I gradually adjusted to the logic of machine, which enables me to handle different programming languages with more haste.... [tags: Educational Goals, application essays] | 1012 words (2.9 pages) |
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Calculator Use in Secondary Mathematics Classes -
... In addition the researcher wanted to determine teachers’ beliefs on the perceived advantages and/or disadvantages calculator use has on students’ basic skills and the understanding of new concepts. Since qualitative research is well suited for the analysis of perceptions, attitudes, and beliefs with respect to a given topic (Patten, 2002), a combination of survey and interview based qualitative design was chosen. By using open-ended survey questions, the researcher hoped to present results as “trends or themes that are described in words” (Patten, 2002, p.... [tags: Education, math]
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Math History - Mathematics starts with counting. It is not reasonable, however, to suggest that early counting was mathematics. Only when some record of the counting was kept and, therefore, some representation of numbers occurred can mathematics be said to have started. In Babylonia mathematics developed from 2000 BC. Earlier a place value notation number system had evolved over a lengthy period with a number base of 60. It allowed arbitrarily large numbers and fractions to be represented and so proved to be the foundation of more high powered mathematical development.... [tags: essays research papers] | 2043 words (5.8 pages) |
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Math in life - In the last few centuries, the number of people living on Earth has increased many times over. By the year 2000, there will be 10 times more people on Earth than there were 300 years ago. How can population grow so fast. Think of a family tree. At the top are 2 parents, and beneath them the children they had. Listed beneath those children are the children they had, and so on and so on, down through each generation. As long as the family members continue to reproduce, the family tree continues to increase in size, getting larger with each passing generation.... [tags: essays research papers] | 504 words (1.4 pages) |
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math lesson - Lesson Plan Title: Alexander, Who Used to Be Rich Last Sunday: Understanding Opportunity Costs Grade Level:2, 3, or 6th Duration: three 50-minute class periods Student Goal: To understand that there is an opportunity cost to every economic decision and that these costs come as a result of limited resources. Student Objectives Students will: • Identify "opportunity costs" in the story and in their own lives. • Create an opportunity costs bar graph as a whole class. • Complete a table of personal spending and savings information.... [tags: essays research papers] | 1724 words (4.9 pages) |
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Essay on Number Theory -
Research Paper Throughout math, there are many patterns of numbers that have special and distinct properties. There are even numbers, primes, odd numbers, multiples of four, eight, seven, ten, etc. One important and strange pattern of numbers is the set of Fibonacci numbers. This is the sequence of numbers that follow in this pattern: 1, 1, 2, 3, 5, 8, 13, 21, etc. The idea is that each number is the sum of its previous two numbers (n=[n-1]+[n-2]) (Kreith). The Fibonacci numbers appear in various topics of math, such as Pascal?s Triangle and the Golden Ratio/Section.... [tags: Mathematics Math]
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Mathematical Connection - Mathematical Connection Mathematics has had an incredible impact on technology as we know it today. Understanding this impact aids in understanding the history of how technology has developed so thoroughly and what significant events happened to facilitate such an advanced society. A better understanding can be derived by analyzing the historical background on the mathematicians, the time periods, and the contributions that affected their society and modern society as well as specific examples of how the mathematical developments affected society.... [tags: Mathematics Math] | 1237 words (3.5 pages) |
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Why The Coefficients Of Binomial Expansions Appear In Pascal's Triangle - Poor formatting and missing figures Why The Coefficients Of Binomial Expansions Appear In Pascal's Triangle The topic I am introducing to you is how binomial coefficients are found in Pascal's Triangle. Pascal's Triangle is a triangle fonned by specific numbers. At the top of Pascal'sT riangle is the number 1, andw e will call this the zerothr ow (Pascal's Triangle And Its Patterns). The next row contains two 1 's, both fonned by adding the two numbersd iagonally abovet hem; in this caseI and 0 becausea ll numberso utsidet he triangle are 0 (Pascal's Triangle And Its Patterns).... [tags: Mathematics Math] | 1567 words (4.5 pages) |
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What would Maurits Cornelis Escher’s Regular Division of the Plane with Birds look like on the torus -
Research Question: What would Maurits Cornelis Escher’s Regular Division of the Plane with Birds look like on the torus. Maurits Cornelis Escher was born in Leeuwarden, Holland in 1898. He showed an interest in design and drawing, and this led him to a career in graphic art. His work was not given much recognition until 1956 when he had his first important exhibition which led him to worldwide fame. He was inspired by the math he read about and his work related to those mathematical principles. This is interesting because he only had formal mathematical training through secondary school.... [tags: Mathematics Math]
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Infinity in a Nutshell - Infinity in a Nutshell Infinity has long been an idea surrounded with mystery and confusion. Aristotle ridiculed the idea, Galileo threw aside in disgust, and Newton tried to step-side the issue completely. However, Georg Cantor changed what mathematicians thought about infinity in a series of radical ideas. While you really should read my full report if you want to learn about infinity, this paper is simply gets your toes wet in Cantor’s concepts. Cantor used very simple proofs to demonstrate ideas such as that there are infinities whose values are greater than other infinities.... [tags: Mathematics Math] | 650 words (1.9 pages) |
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How can we find a large prime number -
How can we find a large prime number People use numbers whenever they do math. Yet, do they know that each number in the number system has its own unique trait. Numbers such as 4 and 9 are considered square numbers because 2 times 2 is 4, and 3 times 3 is 9. There also prime numbers. Prime numbers are numbers that have exactly two divisors. The number one is not included because it only has one divisor, itself. The smallest prime number is two, then three, then five, and so on. This list goes on forever and the largest known primes are called Mersenne primes.... [tags: Mathematics Math]
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The Sierpinski Triangle - The Sierpinski Triangle Deep within the realm of fractal math lies a fascinating triangle filled with unique properties and intriguing patterns. This is the Sierpinski Triangle, a fractal of triangles with an area of zero and an infinitely long perimeter. There are many ways to create this triangle and many areas of study in which it appears. Named after the Polish mathematician, Waclaw Sierpinski, the Sierpinski Triangle has been the topic of much study since Sierpinski first discovered it in the early twentieth century.... [tags: Mathematics Math] | 1145 words (3.3 pages) |
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