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Uncovering Teachers’ Varying Views on Reading and Writing Instruction

- Through an exploratory study, authors Poulson, Avramidis, Fox, Medwell and Wray, investigated how 225 effective teachers of literacy viewed certain literacy approaches/strategies and considered how their educational backgrounds influenced these views. This study also included a group composed of 71 math coordinators, which served as a comparison to the effective teachers of literacy. The instructional views of the effective teachers of literacy were compared to the instructional views of the math coordinators....   [tags: teaching, education system, math coordinators]

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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]

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World of Maths

- Introduction Teaching math in early childhood can be integrated into daily programing without the use of adding specialized activities. Numeracy is all around us, the need to learn numeracy is imperative to ensure aptitude in the area of math as it will equip children with the ability to live in our modern society. Numeracy is used in everyday occurrences and the basis for numeracy is math. In order to teach the concept of math we must first understand how we learn and which cognitive learning theory will best suit early childhood settings....   [tags: teaching math, numeracy, educators]

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Strategic Plan to Develop Student Interest in Science, Technology, Engineering, and Math Related Careers

- Strategic Plan to Develop Student Interest in Science, Technology, Engineering, and Math Related Careers Success in K-12 math and science classes has a direct effect on student’s decision to pursue careers in engineering and technology. In a recent International assessment conducted by the Organization for Economic Co-operation and Development (OECD) there were some unacceptable statistics released about the United States schools. The results of this latest research place the United States 25th out of 30 OECD countries in math achievement among 15-year-olds and 21st in science achievement (Nagel, 2007)....   [tags: Education Students Teaching]

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Spherical Coordinate System

- Introduction about spherical coordinate system: Spherical coordinate system is a coordinate system. Spherical coordinates used for 3-dimensional space where the location of a point is mentioned by three numbers. The radial distance of that point from a permanent origin, its tendency angle calculated from a permanent top direction. The other name of radial distance is radius or radial coordinate. Diffusion Spherical Coordinates: Diffusion Spherical Coordinates: Spherical coordinate system is similar to a sphere....   [tags: Math]

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Introduction for Division

- Introduction for division: In mathematics, especially in elementary arithmetic, division (÷) is the arithmetic operation that is the inverse of multiplication. Specifically, if c times b equals a, written: c x b = a, where b is not zero, then a divided by b equals c, written: a/b =c Online: In general, "online" indicates a state of connectivity, while "offline" indicates a disconnected state. In common usage, "online" often refers to the Internet or the World Wide Web. (Source – Wikipedia.) Example problems for learn division solving online: Learn division solving online: Example 1 1) Divide 493 by 3 Solution: Step 1: Given Divide 493 by 3 Step 2:...   [tags: Math ]

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Simple Random Sampling

- Introduction: A fixed coordinate system is a system in which the points are represented using a set of co-ordinates or numbers. The order of the coordinates is knIntroduction: The probability is one of the sampling techniques of choosing the equivalent elements. These are specified as random sampling. The sampling is helped to develop the sampling frame; it selects the elements as randomly. The sampling can be done through the replacement. The random sampling assumption can be accomplished by the Middle Limit Theory....   [tags: Math]

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The Exponential Function

- Introduction: In mathematics, the exponential function is the function ex, where e is the number (approximately 2.718281828) such that the function ex equals its own derivative. The exponential function is used to model phenomena when a constant change in the independent variable gives the same proportional change (increase or decrease) in the dependent variable. The exponential function is often written as exp(x), especially when the input is an expression too complex to be written as an exponent....   [tags: Math ]

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Addition of Vectors

- Introduction: Addition of vectors: Let [vecOA] = [veca] and [vecAB] = [vecb] The [vecOB] represents the addition of [veca] and [vecb] We mention that [vecOB] = [vecOA] + [vecAB] [vecOB] = [vecOA] + [vecAB] = [veca] + [vecb] Subtraction of vectors: If [veca] and [vecb] are two vectors, then the subtraction of [vecb] from [veca] is defined as the vector sum of [veca] and − [vecb] and is denoted by [veca] − [vecb] . [veca] − [vecb] = [veca] + ( − [vecb)] Properties of Addition and Subtraction of Vectors: Space: An amount having only magnitude is called a scalar....   [tags: 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]

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Linear Equation Lesson Plan

- Linear Equation Lesson Plan Linear equations are used in everyday life without much thought. However, when students are first learning to set up and solve a linear equations, it seems to be a difficult task for most. There are three main formulas a student needs to keep in mind when solving a linear equation. Beyond the formulas, the most important aspect of a linear equation is the slope. In the State of West Virginia, Math 1, which is usually comprised of ninth graders, is where these standards are taught and learned....   [tags: math, home entertainment, Dish Network®.]

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Archimedes' Life and Accomplishments

- Archimedes is a well-known scientist, who started modern day science. Archimedes studied and influenced many areas of science and mathematics. Some of the areas he influenced include; astronomy, mechanics, geometry, hydrostatics, and many more. Archimedes discoveries and inventions are very helpful in the world of both mathematics and science. Many of his ideas and discoveries are the foundations of the things we know about in both science and math. Archimedes was born in Syracuse, an island of Sicily....   [tags: archimedes, pi value, math, calculus]

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Science and Human Nature

- Science, a field that involves various subjects including math, biology, chemistry etc, is one of those most influential aspects of human history. Merriam-webster dictionary defines it as: “such knowledge or such a system of knowledge concerned with the physical world and its phenomena: Nature Science” (“Science”, Merriam-webster Dictionary). What it studies is alway related to our nature, ourselves. It is a field that requires sophisticated knowledge and skill, as well as long-term devotement....   [tags: Science, Math, Biology, Humans, Nature]

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Economy Word and Math Exercises

- 6.6 A) If a consumer has a certain income and at this level of income the consumer prefers to purchase 50 units of y and 0 units of X, if the price of good Y is $10, then the consumers income is $10*units of Y. Disposable income= $10*y =$10*50 =$500. B) If the same consumer wished to purchase 40 units of X and 0 units of Y, the price of good X would be disposable income divided by the number of units to be purchased. Cost of good X= disposable income/units of X =$500/40 =$12.5 C) The equation for the budget line is calculated using the prices for each good and the disposable income....   [tags: essays research papers]

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Micheal Redkin and Math Basics

- In order to create a graph such as the one Ms. Redkin uses to calculate the depreciation of her rental house, first it must be determined which part of the information given is the dependant variable and which is the independent variable. In this case the independent variable is time (in years), and the dependent the value of the house. Next create a graph with the given data, the independent variables on the x-axis and the dependent on the y. Graph and label the given data as points (4 yrs, $64000) and (7 yrs, $52000), allow the graph to represent the house’s value from when it was new to 10 years after its purchase....   [tags: essays research papers]

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Applications of Prisms and Math

- Missing Figures Prisms and their Applications Introduction A prism is one or several blocks of glass, through which light passes and refracts and reflects off its straight surfaces. Prisms are used in two fundamentally different ways. One is changing the orientation, location, etc. of an image or its parts, and another is dispersing light as in a refractometers and spectrographic equipment. This project will only deal with the first use. Consider an image projected onto a screen with parallel rays of light, as opposed to an image formed by the same rays that are passed through a cubic prism (assume that the amount of light that is reflected is negligible)....   [tags: Mathematics]

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The Work of Math Education Researcher, Richard Lesh

- As a contemporary mathematics education researcher, Richard Lesh is know for describing what has been known as models and modeling perspectives in regard to mathematical problem solving, learning, and teaching (Lesh & Doerr, 2003). Models are defined as “purposeful mathematical descriptions of situations, embedded within particular systems of practice that feature an epistemology of model fit and revision” (Lesh & Lehrer, 2003). What modeling involves is a series of tests for fitness on models developed by the students as they think mathematically about a presented problem situation....   [tags: Education, Mathematics]

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Mathematics Education in America: A Troubled System in Need of Change

- Mathematics Education in America: A Troubled System in Need of Change On a trip to Fidler concrete in Goshen, Indiana, a man ordered forty feet of rebar for home use. When he went to pick up the rebar, the adult employee in charge asked the man what size pieces he would like. The man asked for six-foot sections. The employee furrowed his brow and said, “Now, if it were five foot sections, that would be ten of them for forty feet, right?” The man replied, “No, ten of the five footers would be fifty feet.” The employee pondered that and said, “So in the six-footers…Ah, I’ll just give you twelve....   [tags: Education Math Learning Essays]

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Teaching Mathematics

- When teaching mathematics to children the teacher’s enthusiasm can determine whether or not the child's math experience is negative or positive. For instance if you do not like math chances are, it will show up in the activities that you prepare for the child, as well as the way you go about a question because the children will sense your frustration that you have for math. If a teacher likes math on the other hand the activities will be well thought out, and the children will be able to ask questions without having the feeling that the teacher is frustrated because they are giving off a positive attitude....   [tags: Math Education, teacher]

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Usefullness of Mathematics in Everyday Life

- Usefullness of Mathematics in Everyday Life G H Hardy once said that "Very little of mathematics is useful practically, and that little is comparatively dull". This statement is blatantly incorrect. Mathematics appears in virtually all fields in some form or another, and it is the only truly universal language. Even fields considered the opposite of mathematics, such as literature, are filled with different forms of math. Music is based very heavily on numbers, and even religions hold different numbers as sacred....   [tags: Math Mathematics Essays]

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Information about Mathematics

- Research on and information about mathematics and the learning of mathematics has evolved over the last one hundred years. In the first half of the 20th century much of the focus was on computational approaches such as drill and practice and incidental learning (Brownell, 1947; Thorndike, 1924). This emphasis can certainly be attributed to the lack of technology available along with the needs of society for efficient computation (Jones et al., 2002). The development of the new math in the second half of the 20th century was a positional change for mathematics educators and researchers....   [tags: Education, Vygotsky, Lesh, Dienes, math]

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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]

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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]

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Fractals: A New-Age Mathematics to Explain Our World

- Fractals: A New-Age Mathematics to Explain Our World Fractal art is a new-age art that tantalizes the eyes and mind with patterns, shapes, colors, and abstract imagery. Artists have once again found a way to harness the abstractedness of mathematics and integrate it into their work. So where does this new art form of fractal design stem from. The reality is that fractals themselves are relatively young in the mathematical world. Of course since the beginning of art and history and mathematics, self-similar objects have existed and been intriguing to the human mind....   [tags: Fractals Mathematics Math Papers]

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Technology in the Mathematics Classroom

- Technology in the Mathematics Classroom In today’s society, technology is advancing at such a rate that on can hardly stay ahead. Technology surrounds every person in civilization. To not use the technology that is readily available would be absurd. The same idea applies to technology in the classroom. Calculators, in particular, are becoming more readily available in the classroom, but technology should not stop there. Many inspiring computers programs, such as Geometer’s Sketchpad, Math Success, Fathom, Maple, and Minitab greatly enhance the mathematical teaching and learning that can take place in a classroom....   [tags: Math Mathematics Tech Technology]

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Alice in Wonderland and the Mathematics Involved

- The latter half of the nineteenth century became a time of evolution for different forms of mathematics such as symbolic algebra, Riemannian geometry, Boolean algebra , and quaternion calculus. "To him [Lewis Carroll], algebra was all about numbers," mathematician Keith Devlin explained. “But in the 19th century, people were developing all kinds of bizarre new algebras, where x times y was not equal to y times x.” (Devlin) While mathematicians knew that Carroll, a mathematician himself, was slipping numbers in to his classic, “Alice’s Adventures in Wonderland,” the hidden math came as a surprise to many others....   [tags: Lewis Carroll, rational, math, language, limits]

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Using Tangrams To Explore Mathematical Concepts

- Using Tangrams To Explore Mathematical Concepts Representations have always been a very important part of teaching mathematics. The visuals and hands on experiences help to aide the teachers by assisting them in relaying important topics and concepts to the students. By having a representation, the students are more likely to remember what they have learned, and recall the lesson when it comes time to take a test or do their homework. Within mathematics, many different manipulatives are used to enhance learning....   [tags: Learning Math Teaching Essays]

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Art And Mathematics:Escher And Tessellations

- Art And Mathematics:Escher And Tessellations On first thought, mathematics and art seem to be totally opposite fields of study with absolutely no connections. However, after careful consideration, the great degree of relation between these two subjects is amazing. Mathematics is the central ingredient in many artworks. Through the exploration of many artists and their works, common mathematical themes can be discovered. For instance, the art of tessellations, or tilings, relies on geometry....   [tags: Math Artistic Papers]

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Husserl’s Conceptions of Formal Mathematics

- Husserl’s Conceptions of Formal Mathematics Edmund Husserl’s conception of mathematics was a unique blend of Platonist and formalist ideas. He believed that mathematics had reached a mixed state combining Platonic and formal elements and that both were important for the pursuit of the sciences, as well as for each other. However, he seemed to believe that only the Platonic aspects had significance for his science of phenomenology. Because of the significance of the distinction between these two types of mathematics, I will always use one of the adjectives “material” or “formal” when discussing any branch of mathematics, unless I specifically mean to include both....   [tags: Edmund Husserl Math]

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The Mathematical Abilities of Women

- The Mathematical Abilities of Women Tests have proved that women have the same mathematical abilities than men do. Since there is no difference in ability, you would think that the field is equally occupied by both genders. Many people have thought about a seemingly simply asked question and have failed to come up with a practical answer why it is so. The question, "How come you know more male mathematicians than female?" is one that I, previously uninformed on this subject plan to supply data that may help to lead to one clearly defined answer....   [tags: Math Mathmatics Women]

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Mathematics of the Eye and Color

- Eye And Color The eye form a “optical image” on the light sensitive cell of the retina. It is very often compared to a camera in it so workings. However it is like a camera in its focusing properties but is very different after the light has hit the retina. The camera just prints a point to point representation of the image on film, where as the is much more complex and interesting. The visible light is only a very small portion of the electromagnetic spectrum and various wavelength in this visible spectrum of light represent different colors....   [tags: Math]

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Mathematics of Lenses and Optical Glass

- Missing figures PROPERTIES OF LENSES, OPTICAL GLASS Composition Glass is a solid, structureless and amorphous. There are two main group classification of optical glass: 1. Crown, and 2. Flint (has a high content of lead oxide) Chemicals are combined to produce new glass types. These new glass types are used to benefit other different types of cameras (such as high-speed minature cameras, black/white cameras, etc). Properties The most important optical characteristics of a glass are its refractive index and its degree of dispersion....   [tags: Math]

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Caritable Foundations in Different Fields

- St. Jude Medical is a global medical device manufacturer dedicated to transforming the treatment of some of the world’s most expensive, epidemic diseases. St. Jude Medical was founded in 1976 in St. Paul, Minnesota, as a pioneering manufacturer of bi leaflet implantable mechanical heart valves. In 1994, St. Jude Medical has continued to grow into a global leader in cardiac and neurological device technology, broadening our products. Jude Medical is driven to transform the treatment of some of the world's most expensive, epidemic diseases by creating cost-effective medical technologies that save and improve lives....   [tags: adopt america, st. jude medical, math a thon]

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business math paper

- Annuities Businesses, financial institution, and other organizations invest in annuities to raise money to pay such expenses as bond debts, notes due, or stock dividends. They also invest in annuities to provide for future needs, such as new facilities and equipment or employee retirement benefits. Individuals may purchase annuities, such as an Individual Retirement Account (IRA), or an insurance policy, from insurance companies, financial institutions, or securities brokers. An ordinary annuity is a series of regular payments where each payment is made at the end of the payment period....   [tags: essays research papers]

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math graph story

- Between study group, debate, and chess tournaments there wasn’t much of a social scene around Winchester University in Omaha, Nebraska. The school year at this college was year round, but the students were given a 30 day summer vacation in July. The majority of the students went back home to visit their families during this time. But as juniors at the University Charles, Fredrick, and Stanley, all childhood buddies, decided it was time for a change and that they needed a little more spice in their life....   [tags: essays research papers]

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Mathematics of Microscope Resolving Power

- Missing Figures Imagine this, you are walking through the forest when all of a sudden you come across the most fascinating insect (perhaps insects may not seem too fascinating at first but once you learn a little about them they are the most fascinating creatures). Well, back to the story, so you find this insect and you realize that it seems very different from those you've previously encountered. Well, being the curious scientist that you are, you take out your trusty magnifying glass and take a look....   [tags: Math]

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Usefulness of Mathematics Education

- Usefulness of Mathematics Education There has been much discussion over the years about the usefulness of mathematical studies. Everyone seems to have a different viewpoint on the issue. Some believe that mathematics has little use in the working world and so is not a subject that should be taught at higher levels in secondary school. Others argue that mathematics does serve a profound purpose, albeit one that is subtle and not obvious in the vocational world. G. H. Hardy and Underwood Dudley, two great mathematicians of the twentieth century, have differing views, and our current Secretary of Education Richard Riley has his thoughts as well....   [tags: Math Mathematical Jobs Essays]

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- Problem Statement      My task was to find 3 equations, that would give me an answer, if I had certain information. The first was to find one that if you knew that there were four pegs on the boundary, and none on the interior, you could get the area. The second was if you knew that there were 4 pegs on the boundary, and you knew how many were on the interior, you could get the area. And last, if you had the number on the interior, and the number on the boundary, you could get the area.       Process      The first two equations, were a preparation for the final, building up towards the complete idea....   [tags: Math Mathmatics Problems]

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Rene Descartes

- René Descartes was born on March 31, 1596, in La Haye, France, which has been renamed after him, Descartes. He was the baby out of his three siblings. His mom named Jeanne Brochard had died before he turned one year old. His father, Joachim Brochard, a council member in the provincial parliament, sent his kids to live with their grandmother. The father left them with the grandmother while he himself remarried and enjoyed the bliss of not having children under his feet. He still was a stickler for a good education and having a legacy so he sent 8 year old Rene to the Jesuit college of Henri IV where he stayed until he was 15....   [tags: coordinate plane, skepticism, math]

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Road to the Internet

- The Internet, a global computer network, disseminates information within seconds of a mouse click. Internet surfing relates to a user actively searching for a targeted subject by typing key information into a search bar or search engine. An Internet surfer can also click on a series of hyperlinks, which will redirect their search results to different websites. Since the advent of the Internet, the growth spurt in popularity has increased the sheer wealth of information, which often times makes it difficult to wane through unauthoritative resources....   [tags: Health, Safety, Laguage Arts, Math, Science]

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Cubic Equations

- Cubic equations were known since ancient times, even from the Babylonians. However they did not know how to solve all cubic equations. There are many mathematicians that attempted to solve this “impossible equation”. Scipione del Ferro in the 16th century, made progress on the cubic by figuring out how to solve a 3rd degree equation that lacks a 2nd degree. He passes the solution onto his student, Fiore, right on his deathbed. In 1535 Niccolò Tartaglia figures out how to solve x3+px2=q and later Cardano begs Tartalia for the methods....   [tags: Math]

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Queueing Theory

- Introduction to Queueing Theory : Queueing theory is a branch of Operations Research because the results that we obtained can be used to make business decisions. It is the mathematical study of waiting lines. Queueing theory enables mathematical analysis of several related processes, including arriving at the queue, waiting in the queue and being served at the front of the queue. Using this theory we measure the average waiting time in the queue or the system, the expected number waiting or receiving service and the probability of encountering the system....   [tags: 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]

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Theoretical Stance on Learning and Teaching Mathematics

- Research Essay: Theoretical Stance for the Teaching of Mathematics – As a pre-service teacher, my philosophy of teaching Mathematics is based on a constructivist, student-centred approach. I have learned, through my practicum experiences, as well as Mathematics Education courses, which advocate this approach, that it is the most effective way to teach Mathematics. This essay will explicitly describe my philosophy, as well as explain and justify the specific teaching and learning strategies related to this philosophy, supported by the research and literature....   [tags: Education, math, math teacher]

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- High school and college are both important institutions in many peoples' lives. These academic institutions are seen as places where identities are forged, friendships are made, important basic lessons are learned, and ideally, plans are made regarding both near and distant futures. High school and college are toted as places where post-pubescent adolescents are supposed to find out what exactly they want to do with their lives – a period of four to eight or more years where the groundwork for the rest of your life out in the “real world” is laid out....   [tags: Gender ]

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Questioning Strategies to Improve Understanding of Conic Sections in Math Class

- ... Data was collected in order to analyze the use of questioning strategies in a whole class setting, and how these strategies improve student understanding of conic sections. This class was video-taped on both days of a two-day teach. A portion of the video transcript for the first day showing the interaction between the students and the teacher during the second explore was the first data analyzed. During this section, the teacher was guiding the students to discover the equation for a circle....   [tags: teaching techniques]

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Important Aspects of Teaching Mathematics

- Teaching mathematics has evolved from the traditional instrumentalist view where the focus is on knowledge mathematical facts, rules and methods as independent concepts, to the more contemporary constructivist approach which focuses on building on prior knowledge and experiences incorporating mathematical facts, rules and methods to problem solve and investigate new mathematical concepts. This will in turn, enable students to apply concepts in real life situations. Teaching thematically is an approach which allows concepts to be applied to real life situations....   [tags: math Education, math, teachers]

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Technology in Schooling

- Technology is an important part of life and therefore it is an important part of schooling. The National Council for teachers of mathematics states, ?Calculators and computers are reshaping the mathematical landscape, and school mathematics should reflect those changes.. When students go home, they play video or computer games; yet, when they come to school we expect them to want to work in books and complete worksheets. These tasks are quite boring compared to the exciting games they have waiting on them at home....   [tags: Education Computers Mathematics Math]

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English As A Second Language Education

- English As A Second Language Education When the English as a second language learner (ESL) or the English language learner (ELL) students have achieved English proficiency, it helps students to develop their understanding of mathematics. Students then effectively use mathematical tools, charts, patterns and other strategies, as well as their prior learning experiences to make connections to solve related problems. The majority are able to transfer their manipulative exploration to solving problems with pencil and paper....   [tags: Educational Math Mathematics ESL Essays]

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Mathematics of Telescopes

- Missing Figures A Brief History of Telescopes Although telescopes has been around for several hundreds of years, there has been great discrepancy as to who invented it first. Here is one authors opinion. Lippershey was a Dutch spectacle marker during the early 17th century (approximately 1600). He was one of the first who created the "looker" (now called telescope) by placing two pieces of lenses together. The discovery that placing lenses together can magnify images were made by children who took Lippershey's spectacles and looked at a distant church tower....   [tags: Math]

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Mathematics of Light

- Introduction Up to the seventeenth century, most theories attributed color to some sort of modification of light that was thought to occur when light interacted with matter. Light, in its purest form (such as sunlight) was thought to be colorless. However, progress in understanding color was made by Isaac Newton when in 1666 he was able to show that normal white light already contained all the colors of the spectrum, which could be separated using a prism. He also concluded from his experiments that objects have color because they selectively reflect certain colors of the spectrum while absorbing light of other colors....   [tags: Math]

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Cooperative Learning in Mathematics

- Cooperative Learning in Mathematics There have recently been many new trends towards the use of cooperative learning in many classrooms, particularly in mathematics classrooms. Cooperative learning involves students working together to accomplish shared goals. In this type of situation, students must feel they can only reach their learning goals if the other students in their group also reach their own learning goals. Students have to understand their achievements are interrelated....   [tags: Math Education Learn Educating Essays]

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Personal Essay: Persistence and Learning Calculus

- In any scientific undertaking only precision and accuracy are satisfactory, when faced with unique ordeals, it is only through dedication and extensive work can we achieve such perfection. This I believe was the underlying premise behind Einstein’s words, when he accredited not his great intellect but extensive focus and taught to achieving many of his accomplishments. I too fully embrace the merit of such principles and had experienced a period with which the practice of such ideals was pivotal to my success while in secondary school....   [tags: Math, College]

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Smith Report on Teaching Mathematics

- Briefing paper explaining the changes which have been made to Maths education in England in response to the Smith Report. Introduction: The purpose behind this briefing paper is to provide the Secretary of State for Education with an idea as to how the Smith Report, 2004 “Making Mathematics Count” has changed Maths education in England. It is important that the Secretary of State for Education to understand how important the Smith Report has been to the advancement of Maths education and what recommendations have not yet been implemented....   [tags: Education Math]

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College Entry Essay: Engineering Program

- In the 21st century engineering has a vital impact on our lives. It is almost everywhere you look. It gives a chance to make the world a safer, better and more exciting place to live. This fills me with a desire to be a part of this. There are many factors that helped me to make my decision to pursue a career in engineering. Since an early age I have been fascinated by how things around me work. In my childhood I spent a lot time with my grandad, who was a car mechanic. He loved to share his knowledge with me which helped me at school....   [tags: Math, Projects]

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Fermat’s Last Theorem

- Fermat’s Last Theorem The year is 1637. Pierre de Fermat sits in his library, huddled over a copy of Arithmetica written by the Greek mathematician Diaphantus in the third century A. D. Turning the page, Fermat comes across the Pythagorean equation: x 2 + y 2 = z 2. He leans back in his chair to think and wonders if this property is limited to the power of two only. He bends over the book again, scanning ahead through the pages to look for any clues. Suddenly, he begins writing intensely in the margin: “It is impossible for a cube to be written as a sum of two cubes, or for a fourth power to be written as the sum of two fourth powers or, in general, for any number which is a power grea...   [tags: Pierre Fermat Math Mathematics Papers]

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The Mathematical Aspects of Lewis Carroll's Alice in Wonderland

- The Mathematical Aspects of Lewis Carroll's Alice in Wonderland The story Alice in Wonderland was written about a little girl named Alice who was a child of the dean of the Church of Christ. Alice Liddell was the one who convinced Charles Dodgson (Lewis Carroll) to write down the verbal story originally known as "Alice's Adventure Underground".Actually, the book is known by several different names, Alice's Hours in Elfand,Alice's Adventures in Wonderland, and Alice in Wonderland.I found it interesting that the Mid-Continent Public Library once listed the book under Lewis Carroll and has recently changed it to Charles L....   [tags: Lewis Carroll Alice Wonderland Math Essays]

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Mathematical Ethics

- Mathematical Ethics Philosophers since antiquity have argued the merits of mathematics as a normative aid in ethical decision-making and of the mathematization of ethics a theoretical discipline. Recently, Anagnostopoulos, Annas, Broadie and Hutchinson have probed such issues said to be of interest to Aristotle. Despite their studies, the sense in which Aristotle either opposed or proposed a mathematical ethics in subject-matter and method remains unclear. This paper attempts to clarify the matter....   [tags: Math Philosophy Aristotle Papers]

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Indian Mathematics

- Introduction: Indian, in particular, Hindu, mathematics has not been given the credit or recognition that it deserves. Many of the foundational concepts used in all mathematics were first discovered by the Hindu Indians. This paper will discuss many of these concepts and how they were used in the fifth through the eighth centuries. Apart from direct testimony on the point, the literature of the Hindus furnishes unmistakable evidence to prove that the ancient Hindus possessed astonishing power of memory and concentration of thought....   [tags: India Math Education]

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- Do you remember watching the movie, The Matrix. Do you remember the green columns of zeroes and ones that were streaming down the screen. Those ones and zeros are part of a numbering system called Binary. Binary is a simple system that only utilizes two character symbols but accomplishes large counting tasks. Binary is not a number system you would want to use for everyday tasks because there are no shortcuts, you have to do the equation the same way every time and it takes a long time to do most calculations....   [tags: Math]

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- Formalism In this essay I will show that whilst formalism is an attractive view it does not provide us with an adequate account of mathematics. I will begin with a brief outline of the basic position before going on to discuss it. Finally, I will discuss Hilbert’s programme. In brief, formalism is the view that mathematics is the study of formal systems. This however does not tell the whole story and formalism can be divided into term formalism and game formalism (Shapiro, 2000: pp. 141-148). Term formalism is the view that mathematics is about characters or symbols....   [tags: Math]

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- » Part 1 Logarithms initially originated in an early form along of logarithm tables published by the Augustinian Monk Michael Stifel when he published ’Arithmetica integra’ in 1544. In the same publication, Stifel also became the first person to use the word ‘exponent’ and the first to indicate multiplication without the use of a symbol. In addition to mathematical findings, he also later anonymously published his prediction that at 8:00am on the 19th of October 1533, the world would end and it would be judgement day....   [tags: Math ]

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Key Mathematical Ideas and Skills: Shape Recognition

- Summary Children observe and interact with three-dimensional objects through daily activities in the environment such as building blocks, book reading, balls or puzzles. Learning three-dimensional shapes is one of geometry outcomes in Victorian Essential Learning Standards. In my lesson plan, I concentrate on recognizing and naming familiar three-dimensional shapes by providing students the Three-dimensional Shape Hunt activity. This report will reflect the lesson plan on four points: • Key mathematical ideas and skills • Link to relevant curriculum documents and understanding of the learning sequence • Teaching approaches, developing children’s understanding, appropriate models and material...   [tags: Elementary Education, math, teaching]

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Information and Communication Technology in the Classroom

- The ease of access to information today, as enabled by technologies, has flattened the structure of learning and institutions. It has created opportunities for new inquiry practices where students learn from sources on the web, from peers and with members of the community, and are engaged in purposeful, active knowledge creation. Advances in mobile technology and a proliferation of digital social networks open up new possibilities for teaching and learning. Our youths are exposed to new information and communications technologies (ICT) at home and in school....   [tags: experiment, turkish students, math]

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Teacher Placement of Year 3s Portfolio

- Portfolio This assignment is based on my seven week placement in a year 3 class in East London. Critical Incident 1 During one of my first maths lesson in the school, I was working with the higher ability children. At this point I had not seen the teachers plan for this lesson or the term. The lesson was on subtraction using tricky columns. The school uses the Maths Makes Sense scheme, it was the first time I had seen this scheme being used. The scheme follows strict wording which needs to be used throughout the children’s learning....   [tags: school, math, strategies, words]

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Islamic Culture: Achievements in Various Fields

- Achievements of Islam Literature The islamic culture has been using three main languages throughout history. “Arabic, Persian, and Turkish.” This is significant to the achievements of Islam because most of the Islamic culture knew how to read and write. Another achievement in the Islamic culture is poetry. Poetry was a very big part of Islam. According to (World Cultures a Global Mosaic) poetry has been around even before islam was formed. These poems were not only for entertainment, they could also be used to insult their enemies, show their love, and talk about topics like war....   [tags: Music, Literature, Math]

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A Career as an Agricultural Engineering

- ... products (“Agricultural Engineers Careers” para.1). You can design food-processing plants and supervise manufacturing operations (“Agricultural Engineers U.S. para. 9). They can direct the construction of rural electric-power distribution systems. They also design structures to store and process crops (“Agricultural Engineers” U.S. para. 9). Many workers work a standard 40 hour week. Some may work longer because of deadlines and design standards (“Agricultural Engineers Careers” para. 2). An agricultural engineer typically works full time....   [tags: education, knowledge, math]

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Mathematics in Early Childhood Learning

- 1. Identify your beliefs: State what beliefs you hold about teaching and learning mathematics for each of the following: a) What learning mathematics is for in the early childhood environment b) The role of the teacher in children learning mathematics c) The role of the teacher in teaching mathematics to children d) Children and their learning of mathematics I believe that learning mathematics in the early childhood environment encourages and promotes yet another perspective for children to establish and build upon their developing views and ideals about the world....   [tags: Teaching Math to Children]

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Angle of Shooting in Soccer

- It was about 3 minutes before the time was called. The red light from the score billboard showing “2-1” represented our team’s frustration to win that one more point in order to break even. The cheering sound of the crowd reverberated through the ground; chased by the other two players from the opposing side, I ran as fast as I could toward the opponent’s goal; it was our last chance of scoring. My heart started pounding rapidly, I ran closer to the goal, and took the shot. I missed. My dad started teaching me to play soccer since I was very young....   [tags: freekicks, soccer,math, physics]

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Gradulate Studies in Electical Engineering

- ... It is at this stage he taught us evolutionary algorithms like Genetic Algorithm and its variants, Particle Swarm Optimization, Differential Evolution, Ant Colony Optimization and Bacterial Foraging Optimization apart from the normal course curriculum and then left us with the task of working on them. For the first time after getting into the college, I felt very excited when I applied all of these techniques to Linear System Identification in signal processing and got excellent results. It gave me a chance to envision the amount of possible problems that can be tackled with such heuristic algorithms....   [tags: math, programming, interest]

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A Career in Computer Engineering

- My interest in science began when I was in high school, where I displayed excellent performance in Physics and Mathematics. During high school, I was introduced to the basics of electronics and computers such as digital logic design in Physics. Since then I became fascinated about digital electronics. It sounds logical that I pursued a career in Electronics and Communication. During my undergraduate years, I was manifested by the variety of engineering courses such as Electronics to Digital Signal Processing, all of which tended to reinforce and solidify my intense interest in engineering....   [tags: personal statement, math]

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Judee Burgoon’s Expectancy Violations Theory

- Introduction If you are like me, you don’t feel comfortable with getting “cozy” with the teacher. I have had teachers try and become friendly with me before and that always has lead me to an uncomfortable situation; do I ignore their attempts or do I embrace it in hopes to get a better grade. What if I were the one to try and initiate a closer relationship. Would that somehow put me in a more favorable situation. In my dilemma, I have turned to research to solve this quagmire. This paper will be a study dealing with Judee Burgoon’s Expectancy Violations Theory....   [tags: academic pursuit, math ]

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We Cannot Have A Successful Society If Zero Is Not Involved

- We Cannot Have A Successful Society If Zero Is Not Involved INTRODUCTION: The number zero may be thought to have very little importance, but it is actually of great value. Zero is the number that precedes 1 and follows –1 so it may represent the value of nothing. Zero is also important in holding a place value. It is a composite integer that is neither odd or even, though that fact can be debated. Zero is involved in many areas of study including modular arithmetic, computer sciences, and physics....   [tags: Mathematics Math]

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How topoisomerases unknot knots that are formed in DNA

- How topoisomerases unknot knots that are formed in DNA Introduction: The study of properties of geometric objects under deformations is called topology; the subfield of topology that I will be discussing in this essay is called knot theory (Adams 6). Mathematical knots have two primary differences: one, they are infinitely thin, and two, they are always closed. Something very similar to the size and shape of mathematical knots is DNA. Not surprisingly, knots occur in DNA frequently on a normal basis....   [tags: math mathematics]

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The Mathematics of Bubbles in Beer

- Refraction Refraction is what happens to light when it passes from one medium to another. For example, things appear differently from the bottom of a swimming pool than on the top. Simplistically, refraction is the bending of light. The explanation for this phenomenon, however, can be described with light as rays and light as waves. No matter the case, it is important to remember that the speed of light is constant in every homogeneous medium, regardless of shape, size or form. The index of refraction Light travels ( in certain substances ) at a fraction of the velocity if it travelled in a vacuum....   [tags: Math Carbonation]

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Single Slit Diffraction Pattern of Light

- Missing Figures SINGLE SLIT DIFFRACTION PATTERN OF LIGHT The diffraction pattern observed with light and a small slit comes up in about every high school and first year university general physics class. The intention of this paper is to explain this pattern at the academic level mentioned above. Light is interesting and mysterious because it consists of both a beam of particles, and of waves in motion. WAVE PARTICLE DUALITY: All carriers of energy and momentum, such as light and electrons, propagate like a wave and exchange energy like a particle....   [tags: Mathematics Math]

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Possibility of Sharing Brithdays

- Introduction: While growing up I went to six different schools, and met around 1,000 people. However the only person I have met with my birthday, May 13th, was my great grandmother, out of the cumulative 1,000 people that I’ve gone to school with, not one has had the same birthday as mine. This is why I chose to investigate the paradox. According to the paradox, I should have met someone who had the same birthday as mine. The aim of this exploration will be to see if the paradox proves true in any given situation....   [tags: Brithday Paradox, Math Equations]

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Exploring Binomial Expansion Theorem

- Exploring the Binomial Expansion Theorem Introduction In algebra binomial expansion is the expansion of powers of a binomial. A binomial expansion is an expression in which it contains two terms eg, (a+b). This expression could also have a power on the outside of the brackets. Aim To generate a formula for finding the general expanded form of binomial expressions of the form (a+b)n. (Source The Sheet) Basic Binomial Expansions (a+b)1 = a+b (a+b)2 = a2+2ab+ b2 (a+b)3 = a3+ 3a2b + 3ab2 + b3 (a+b)4 = a4+ 4a3b + 6a2b2+ 4ab3+ b4 The power (n) and the number of terms in each expansion is equal to the amount of terms in each expansion plus one....   [tags: math, algebra, pascal's triangle]

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Mathematics of the Human Eye

- The Human Eye: Just what exactly goes on in our eye to produce images. Why can't some people see as well as others. Well my friend, look no further... the answers to your 2 most burning questions are about to come. First of all, what happens when we see images. Our eye acts as a simple model of a lens system. The average adult eye is about 25 mm in diameter. As light enters our eye, it is refracted first through the cornea which does about 80% of the refracting. The crystalline lens which is located after the aqueous humour (just under the cornea) approximately contributes the rest....   [tags: Math Vision]

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Mathematics of Data Compression

- Data Compression I. Introduction In the modern era known as the “Information Age,” forms of electronic information are steadily becoming more important. Unfortunately, maintenance of data requires valuable resources in storage and transmission, as even the presence of information in storage re-quires some power. However, some of the largest files are those that are in formats re-plete with repetition, and thus are larger than they need to be. The study of data compres-sion is the science which attempts to advance toward methods that can be applied to data in order to make it take up less space....   [tags: Mathematics Math]

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2873 words | (8.2 pages) | Preview

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