Mathematics Essays
Mathematics in Digital Photography Research Paper …
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Compression technology is the primary driver behind the vast expansion of digital photography. Compression allows large amounts of data to be stored in a relatively small area so that more intricate details of the photo can be accurately reconstructed.
Compression is a complicated process that involves several steps. The first step is to convert red, green, and blue color channels… read more
Research Paper 3 pages (925 words) Sources: 3
Learning Mathematics Acquisition of Numeracy Essay …
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They take them to the best schools where they get the adequate attention that they need when it comes to educational requirements. This means that the children in high income families get the best in terms of education and therefore increasing their numeracy acquisition.
Within the society there are beliefs that have been set regarding learning mathematics. This includes the… read more
Essay 2 pages (967 words) Sources: 6 Style: Harvard
Impact of Mathematics on Economics From the Medieval Time Thesis …
mathematics on economics: Medieval era
A number of new developments occurred during the early Middle Ages in the Arab world to make current methods of calculating economic principles possible: the first was the development of so-called 'Arabic' numbers, which enabled easier calculation methods than the numbers of the Roman numerical system, and the second major influence was that of the… read more
Thesis 1 pages (377 words) Sources: 2 Style: APA
Araybhata's Contributions to Mathematics & Algebra Aryabhata Research Proposal …
ARAYBHATA'S CONTRIBUTIONS to MATHEMATICS & ALGEBRA
Aryabhata was born in 476 AD and was known as Aryabhata I or Aryabhata the elder. Aryabhata was a member of the Kusuma Pura School and a native of Kerala which is located in the most extreme South of India. Aryabhata is one of the greatest mathematicians of all times and is considered to… read more
Research Proposal 2 pages (518 words) Sources: 4 Style: MLA
Mathematics Education Term Paper …
Mathematics Education
The objective of this work is to describe five specific methods of questions and strategies that encourage students to discuss their ideas, procedures, rules and definitions that they used to solve a problem and to discuss at least four ways in which justification of solutions to improve students' relational understanding of mathematics.
The work of Jones (2000) entitled:… read more
Term Paper 2 pages (677 words) Sources: 2 Style: APA
Mathematics as a Creative Art Term Paper …
Mathematics as Creative Art
P.K. Halmos waxes poetic about mathematics, claiming that not only does mathematics present practical value but also that "mathematics is an art" (p. 379). Envisioning mathematics as art affirms the creative potential of math and acknowledges the myriad ways math becomes manifest in everyday life. What Halmos refers to as "mathophysics" includes the applied principles of… read more
Term Paper 1 pages (340 words) Sources: 0
Art and Mathematics Are Related Research Paper …
art and mathematics are related and that this relation could be used to the advantage of educators to overcome student anxiety regarding mathematics and, in particular, difficult geometry concepts
Outline the basic topics to be covered in the study
What is hyperbolic geometry?
Who is MC Escher?
How does Escher's work relate to hyperbolic geometry?
How to design an appropriate,… read more
Research Paper 10 pages (2688 words) Sources: 1+
Growth of Mathematics Term Paper …
Growth of Mathematics
Mathematics Hard and Soft
Mathematical truth is time-dependent, although it does not depend on the consciousness of any particular live mathematician," (p. 415). In other words, mathematics grows as the body of human knowledge grows; each generation gleans new wisdom from the environment, experimentation, or personal experience and transmits that knowledge to contemporary and future generations either… read more
Term Paper 2 pages (615 words) Sources: 0
Aesthetic Appeal of Mathematics Term Paper …
Mathematics
From conch shells to chrysanthemums: nature abounds with spectacular arrays of geometrical forms. Their visual forms can be translated into mathematical equations, enabling an intellectual understanding of the ways such geometric forms are created and replicated throughout the visual world. Translating visual forms into equations does more than satisfy thirst for computation, though. As the "science of total intellectual… read more
Term Paper 2 pages (659 words) Sources: 1+
Chinese Mathematics in Ancient China Term Paper …
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As a result, there is scant trace of the advanced knowledge that characterized ancient Chinese mathematics.
Influence
Much of modern mathematics today emerges as re-discoveries of principles and techniques already applied by the ancient Chinese. Pascal's Triangle, for example, was already in use as early as the 13th century in China. The Chinese had also unknowingly employed the mathematical principles… read more
Term Paper 6 pages (1633 words) Sources: 1+
Artist in Cultural Phenomenon Term Paper …
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As strange as it might seem, Aronofsky's film is meant to discuss the idea of abstract math. These are two concepts coming together and forming a paradox, as they practically enable viewers to understand that there is much more beyond calculations and simple mathematical formulae.
This film is not necessarily meant to discuss with regard to typical mathematical ideas. Instead,… read more
Term Paper 3 pages (810 words) Sources: 1
Division by Zero Mathematics Term Paper …
[. . . .] Also, since any number times zero will equal zero, there is no one unique solution for the answer. Example problems such as 2x0 = 0 and 1450 x 0 = 0 show that a number times zero equals zero. However, at the same time, zero times itself does not equal the number multiplied by zero. The answers cannot be duplicated… read more
Term Paper 4 pages (1382 words) Sources: 4
Grade 1 Math Standards Essay …
[. . . .] Through performance standards design, the two systems have developed a system of conceptual nesting rather than simply relying on the more conventional system of learning tiers. Too often, in previously employed standards for mathematics performance, students advanced through their demonstrations of mathematical reasoning by moving from one tier to the next presumably more advanced tier. For instance, first graders needed… read more
Essay 3 pages (748 words) Sources: 3
Mathematics A) Spreadsheet Data Analysis Essay …
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We now perform a multiple regression analysis assuming sales as the dependent variable, with market value and cash flow as independent variables. The hypotheses for this test is stated as:
Ho: slope of the regression line = 0. (null hypothesis)
Ha: slope of the regression line ? 0. (alternate hypothesis)
We choose significance level = 0.05 and reject the null… read more
Essay 2 pages (580 words) Sources: 0
Mathematics Concepts in Profession Essay …
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The ultimate solutions are also represented through graphical displays such as frequency distribution tables, dot plots, bar charts, histograms, frequency polygons, stem -- and leaf plots, pie and Pareto charts (Ben-Zvi and Garfield, 2008, pg 355).
Concept Application
Through the acquisition of necessary mathematical tools, I will be able to pass on necessary tools and ideologies that will enable students… read more
Essay 2 pages (767 words) Sources: 2
Personal Statement University Waterloo Essay …
[. . . .] As I'm sure you will agree, time is very important at my age and while some believe that studying can prevent them from having fun that they are suppose to have at this time, I believe that fun does not necessarily have to be equivalent to activities that have nothing to do with school. I'm not saying that people should… read more
Essay 3 pages (929 words) Sources: 0
NCTM's Agenda for Action and Standards Term Paper …
Mathematics
Over time, new generations of students come equipped with unique and different background knowledge. In the 1980s, NCTM, or the National Council of Teachers of Mathematics, launched a new Agenda for Action. American students had moved from a largely agricultural-based society to one that was focused on science, technology, and information. NCTM provides the blueprints from which mathematic curriculum… read more
Term Paper 2 pages (517 words) Sources: 1
Mathematics for Elementary Educators Essay …
globalization and the structures of testing in the "No Child Left Behind Initiative," it is becoming even more important that K-8 teachers be prepared to teach basic concepts of mathematics that adhere to their individual State standards, but also to a rigorous, diverse, and multicultural community. In the same way that a basic level of literacy is required before pursuing… read more
Essay 3 pages (1054 words) Sources: 1 Style: APA
Actuaries the Jobs Rated Almanac Term Paper …
[. . . .] The career itself requires a solid understanding of mathematics in order to analyze statistics, make recommendations and generalizations based on those statistics, monitor the financial situation of the companies they work for, and provide consultation on investment strategies (Society of Actuaries, n.d.). They also use statistical analysis to infer the probability of an undesirable event from occurring, and the likely… read more
Term Paper 2 pages (741 words) Sources: 4 Style: APA
Mathematic v. Conceptual Modeling Limitations of Models Thesis …
Mathematic v. conceptual modeling
Limitations of Models
Mathematical models are often the most straightforward and simple forecasters of future outcomes, but they have severe limitations as well. Not only do most mathematical models contain a certain degree of uncertainty or risk, but there is also the risk of the model itself failing (Kay 2006). Mathematical models are unable to cope… read more
Thesis 1 pages (342 words) Sources: 2 Style: APA
Professional Mathematical Societies Thesis …
Mathematics
Professional Mathematical Societies
The American Mathematical Society which was founded in 1888 in order to further mathematical research and scholarship today fulfills its mission through programs and services that promote mathematical research and those uses strengthen mathematical education. It fosters awareness and appreciation of mathematics and its connections to other disciplines and to everyday life. The Society currently has… read more
Thesis 3 pages (924 words) Sources: 4 Style: APA
Aristotle and His Contribution to Mathematics Term Paper …
Aristotle and his contribution to mathematics and mathematical concepts. Specifically it will discuss his life and contributions, including other mathematicians he worked with or influenced. Aristotle, one of the greatest philosophers and mathematicians of all time, lived from 384 B.C. To 322 B.C. He was born in Macedonia, and spent most of his adult life in Greece as a student… read more
Term Paper 2 pages (685 words) Sources: 3 Style: MLA
Reaction to Proof Things Term Paper …
Mathematical Proofs middle school mathematics teacher seems at first to gain little from absorbing an article like Kleiner & Movshovitz-Hadar's "Proof: A Many Splendid Thing." However, the authors' explication on the origin of mathematical truth-finding and the changing role of the proof in mathematics reveals several key points that can incorporated into general math classrooms. For example, Kleiner & Movo*****z-Hadar… read more
Term Paper 1 pages (386 words) Sources: 1
Individual and the Culture Term Paper …
Mathematics
How Mathematics Grows: The Role of the Individual and the Culture
Influences the Course of Mathematical Discovery
There are many influences on the course of mathematical discovery. The dominant forces influencing mathematical discovery are individual and culture, as pointed out by the reading. There is as much subjectivity in mathematical computation as there is science, which is part of… read more
Term Paper 2 pages (651 words) Sources: 1+
Mathematics George Cantor Term Paper …
[. . . .] When people began to understand that mathematics could influence everything from photography to art and science, they took a greater interest in mathematics and philosophical thought, which in turn led to even more innovation and scientific thinking. In fact, today, many scientists and mathematicians feel Cantor's work represented a real paradigm shift, or a radical change in mathematical and philosophical… read more
Term Paper 2 pages (673 words) Sources: 1+
Germane Quality of Mathematics Research Paper …
Another recurring concept is one-to-one correspondence, in which each element in a set is paired with just one other element in a different set -- each element in the set corresponds to an element in the other set. Cross games are a type of mathematical game that is similar to a crossword puzzle, in which the various clues for the… read more
Research Paper 2 pages (643 words) Sources: 1+
Galileo Place of Birth Essay …
[. . . .] He was the chair of mathematics at Pisa for 3 consecutive years. During this time he wrote De Motu which was a series of essays on the theory of motion. To fill the void left by his father, Galileo had to look for more lucrative jobs since being a mathematics professor could not help him take care of his family… read more
Essay 5 pages (1485 words) Sources: 3
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Given that this is the case, it is shown that performance in the math class necessarily means that there is greater pressure on the student to be correct that there is in other subjects of academic discourse.
Extensive research has been conducted into the topic of math anxiety in both psychological and physiological avenues. Researchers assert that "Math anxiety can… read more
Term Paper 3 pages (1080 words) Sources: 1
Nonlinear Optimization and Excel Solver Essay …
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There is no artificial limit on the size of problem you may solve. It is compatible with the existing Solver models, ruling out the need to change the spreadsheets, and it is a free open source software. However, since OpenSolver never solve problems of non-linear optimization, the solver model is supposed to have "Assume Linear Model" turned on.
Apart from… read more
Essay 3 pages (1026 words) Sources: 3
Five Process Standards Term Paper …
Standards
Five process standards
Describe the mathematical process standards
Problem solving
Engaging in a task without knowing the solution method in advance is what is referred to as problem solving. Drawing from their knowledge, the students are better equipped to find a solution for the problem, and while doing this the students will develop a new understanding of mathematics. The… read more
Term Paper 3 pages (1149 words) Sources: 1
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d.).
As the first step, solving an equation requires combining like terms for the two expressions within the equation. In this case, like terms are those containing the same variable or group of variables that are raised to the same exponent despite of their numerical co-efficient. The second step is to isolate terms that contain the variable, which means getting… read more
Essay 4 pages (1335 words) Sources: 3
[. . . .] A popular problem solving strategy that an increasing number of students encounter before middle school is model drawing, sometimes taught as "Singapore Math." The Singapore method, named for the Asian nation in which it was developed, teaches students how to create visuals in a systematic way to assist in solving word problems. When students learn this method and have sufficient… read more
Essay 2 pages (615 words) Sources: 1
Organizational Health Educational Institutions Essay …
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The refrain is often heard that not enough students graduate with degrees in STEM majors, and that students in America are not able to compete with students in Canada, Finland, and South Korea who score higher on their mathematics tests than do students in the U.S. ("Business Coalition," 1998; Hacker, 2012).
Section IV: A Learning Solution Proposal
The expectation that… read more
Essay 8 pages (2709 words) Sources: 8
Person Hired a Firm to Build Essay …
Person hired a firm to build a CB radio tower. The firm charges $100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is $25 more than the proceeding 100 feet. That is, the next 10 feet will cost $125; the next 10 feet will cost $150, etc. How much… read more
Essay 1 pages (403 words) Sources: 1
Representation in Algebra: A Problem Solving Approach Essay …
Representation in Algebra: A Problem Solving Approach
The need for a solid background in mathematics for high school and college students in the 21st century is well documented (Katz & Barton 2007). A number of emerging career fields in the Age of Information are directly related to mathematical knowledge. For instance, Conaway and Rennolds emphasize that the "With the onset… read more
Essay 12 pages (4074 words) Sources: 15
NCTM Process Standards Essay …
NCTM Process Standards
Problem-solving
In my class, problem-solving activities were integrated into every learning unit. Some of the methods deployed included learning how to use fractions in a hands-on fashion. As well as doing standard fraction-related problems on paper, students were asked to make visual representations of fractions and use them to solve word problems.
Learning how to make unit… read more
Essay 2 pages (649 words) Sources: 2
Online Field Trip Comprised of Visits Essay …
Online field trip comprised of visits to five online locations. Each website was related to the teaching and understanding of mathematics. The contents of the sites included information for teachers, parents and students. Some sites were concerned with the testing of particular skills other focused on providing relevant information to interested persons. The following paragraphs will provide a brief summary… read more
Essay 2 pages (454 words) Sources: 4
Curriculum Design
Mathematics -- Trigonometry
Grade
Spiritual Principle: "And he [Hiram] made a molten sea, ten cubits from the one rim to the other it was round all about, and...a line of thirty cubits did compass it round about....And it was an hand breadth thick...." -- First Kings, chapter 7, verses 23 and 26
This refers to the importance of… read more
Essay 2 pages (580 words) Sources: 3
Mathematics
Grade 9
H.S School Curriculum
Lynchburg, VA
Spiritual Principle
To everything there is a season, and a time to every purpose under heaven (KJV Ecclesiastics 3:1-8)
Standard 1: Students will be able to explain the principles of, graph, and solve step and piecewise functions.
They will be able to convert absolute into piecewise functions.
Standard 2: Students will be… read more
Essay 2 pages (629 words) Sources: 4
Students at the End of This Grade Term Paper …
Students at the end of this grade level must be able to investigate and solve step and piecewise functions. This means that they must be able to write absolute value functions as piecewise functions. Piecewise functions that students must be able to explain include domain, range, vertex, axis of symmetry, intercepts, extrema, and points of discontinuity. Students must show the… read more
Term Paper 3 pages (944 words) Sources: 4
Geometry Manipulative
Elementary Geometry Manipulative
Introducing complex math problems can be difficult to introduce to elementary students. Yet, there are many patterns within mathematics that, if explained properly, can be learned by young eager minds. Thus, it is with this in mind that this geometry lesson aims to teach angle relationships to fifth graders.
The math level being explored is… read more
Essay 2 pages (586 words) Sources: 1 Style: APA
Geometry Proof Research Proposal …
Geometry Proof
Geometry as a subject learned in school has a primary purpose, and that is to improve the ability of students to reason logically. Logical reasoning is one of the most vital things that a student can learn, not only for mathematics, but for many of the issues that he or she will face in life (Discovering, 2009). Without… read more
Research Proposal 5 pages (1680 words) Sources: 10
Carl Friedrich Gauss Research Proposal …
Carl Friedrich Gauss
This is a template and guideline. Please do not use as a final turn-in paper.
Biography
Gauss, a German mathematician and scientist, was born in 1777. His contributions range over many fields including: geophysics, electrostatics, optics, astronomy, statistics, theory of numbers, differential geometry and more. His nickname was "Prince of Mathematicians" due to his outstanding impact on… read more
Research Proposal 2 pages (598 words) Sources: 3 Style: APA
What's Math Got to Do With it by Jo Boaler Research Paper …
Math Got to Do With it? By Jo Boaler
Boaler, Jo. What's Math Got to Do With It? Helping Children Learn to Love Their Least
Favorite Subject -- and Why It's Important for America. New York: Viking, 2008.
Very often, students will whine in math class: 'when will we ever use this in real life?' This explains the title of… read more
Research Paper 5 pages (1598 words) Sources: 1+
Ethnomathematics: Mathematics and Culture Term Paper …
Ethnomathematics
What is "ethnomathematics," and what role should the study of indigenous counting systems play in the teaching of number and numeration?
Ethnomathematics, as its name suggests, is the study of the interaction between mathematics and culture. Ethnomathematics' most obvious application in elementary school classes may be in social studies units. Students can study how the development of different mathematical… read more
Term Paper 2 pages (741 words) Sources: 4 Style: APA
Browse the PA State Standards and Select Term Paper …
Browse the PA state standards and select the standards on which you would like to base your unit. In a separate document, write two to three paragraphs explaining how your unit of instruction supports local guidelines and student academic content standards. Remember to submit this with your task.
Geometry:
Construct figures incorporating perpendicular and parallel lines, the perpendicular bisector of… read more
Term Paper 4 pages (1268 words) Sources: 2 Style: APA
Greek Letter Pi Equations and Notations
Some of the most complex ideas and concepts came from the earliest history of mankind. For example, the notion of Greek letter pi, or the ratio between a circle's circumference and diameter, stems back early biblical times.
Algebra began its development in both the nations of Egypt and Babylonia about 1650 BC. However, historians… read more
Term Paper 2 pages (749 words) Sources: 3 Style: MLA
George Polya
The Hungarian mathematician, George Polya, is hailed by many as not only one of the greatest mathematicians, but also a great teacher of his time. It is interesting that his early school career did not mark a very high interest in the field, however. Later, when faced with choice, his mother encouraged him to take a career in… read more
Term Paper 4 pages (1317 words) Sources: 3 Style: MLA
Derivatives Calculus Term Paper …
Mathematics: Derivatives
Derivatives: an Explanation
Derivative" is a mathematical answer to the question, "how quickly does it change?" For instance, if one noted that the national debt was changing rather quickly, one could also say that the national debt had a high derivative. If one specified and went on to say that the national debt was rising rather quickly, one… read more
Term Paper 2 pages (591 words) Sources: 2 Style: MLA
Historic Mathematicians Term Paper …
Historic Mathematicians
Born on January 29, 1700 Daniel Bernoulli was a famous Swiss Mathematician. His father -- Johan Bernoulli was the head of mathematics at Groningen University in the Netherlands. His father planned his future so that Daniel would become a merchant. but, Daniel never wanted to become a merchant, as he his favorite was calculus. His father could not… read more
Term Paper 6 pages (2172 words) Sources: 1+
Chaos Theory Has Filtered Down Book Review …
Chaos Theory has filtered down to the public through such short discussions of the issue as are found in films like Jurassic Park or on television documentaries. The issue are more complex than can be indicated in such media depictions, and two authors who have set out to explain chaos theory more thoroughly, though still in a popular vein, are… read more
Book Review 6 pages (1570 words) Sources: 1+
Mathematician - Maria Gaetana Agnesi Term Paper …
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She had written 2 volumes of mathematical books, the Institutioni analytiche ad uso della gioventu italiana (Analytical Institutions), that covers elementary and advanced mathematics which she started to develop when she was teaching mathematics to her younger brothers. Her books aim to present a complete lecture of algebra and mathematical analysis.
Maria Gaetana Agnesi was well-known for her "The Witch… read more
Term Paper 2 pages (587 words) Sources: 1+
Proof, a Nova Episode Aired Term Paper …
[. . . .] This is another way of looking at solving complex problems. The show made the problem seem all encompassing (which it was to Wiles), and used a variety of experts to explain just what Wiles was attempting to prove, and why it was so important to the mathematical community. They took a topic which could have been boring and nearly incomprehensible,… read more
Term Paper 3 pages (1088 words) Sources: 1
[. . . .]
In the book, Ma provides an example of a Chinese teacher who has this profound understanding.
This teacher prepares for their lesson by considering what they will teach and what it means. They link the lesson that will be taught to the underlying concepts they want the students to learn, to the other concepts the information should link to, and… read more
Term Paper 8 pages (2870 words) Sources: 1+
Theory on Plate Tectonics Term Paper …
[. . . .] Tragedy was to strike again, only a year after taking up this post, when in 1808 his father dies, and then in 1809, whilst in childbirth, his wife dies, and the second son, who she was giving birth to, was also to die soon after. However, is work does not appear to have suffered in the long-term, but the short-term… read more
Term Paper 3 pages (1158 words) Sources: 1+
Math Problems and Concepts in Teaching Research Paper …
This is represented in game theory via an equation or as a concept of utility points and probability. "If neither suspect confesses, they go free, and split the proceeds of their crime which we represent by 5 units of utility for each suspect…if one prisoner confesses and the other does not, the prisoner who confesses testifies against the other in… read more
Research Paper 2 pages (725 words) Sources: 2
History and Math Puzzles Research Paper …
Once again, this ancient paradox of a Greek philosopher was not solved for many centuries until 1874, with the development of the solution of infinite sets ("Zeno's paradox," 1998). Zeno's paradox first highlighted the discrepancy between what might be called common sense (the apparent fact that all things move) and mathematical theory; its eventual solution highlighted the possibility of discovering… read more
Research Paper 2 pages (727 words) Sources: 1+
Limit Your Summary Term Paper …
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Low working memory individuals did not suffer appreciably under pressure, showing that working memory is indeed crucial to success and also sensitive to pressure constraints such as social evaluation.
8. How are these findings relevant to everyday life? Provide at least two examples. At least one of these examples should be an original example. That is, it should not be… read more
Term Paper 4 pages (1206 words) Sources: 1
Conselling Master Questionnaire Questionnaire …
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26)
The primary objective of statistics is to make inferences concerning a population. In so doing, there is a need to explain or offer information concerning the sample, which will major in a given study. Descriptive statistics come in, and assist in describing the sample on which the study will take place. In addition, descriptive statistics first offer substantial information… read more
Questionnaire 15 pages (4070 words) Sources: 1+
Inverse Equations Problem Essay …
[. . . .] The most common example can be found in business where there are multiple fluid factors and a correct proportion must be decided. For example, last week's word problem presented an ideal business scenario where a company is attempting to maximize profit by ensuring the correct amount of employees are present at any given time. This same technique is used in… read more
Essay 2 pages (494 words) Sources: 2
Russia's Contributions to Science Essay …
Russia's Contribution To Science
Russian contribution to the field of science is famous due to many reasons including the invention of Radio by a. Popov, development of the periodic table by D. Mendeleev, the creation of principals in relation to the space flights, which are interplanetary, on multistage rockets by K. Tsiolkovskiy. The Russian scientists contributed a lot to the… read more
Essay 5 pages (1609 words) Sources: 3
Teach Geometry Dear Parent Essay …
[. . . .] Children develop their math vocabulary and learn to use appropriate terms. They have an opportunity to connect new understanding to prior knowledge. Math is not simply rote learning of facts and equations. The Common Core State Standards (CCSS), already adopted by forty-five states, were designed to facilitate higher-order thinking and problem solving skills ("Common core standards adoption by state," 2012).… read more
Essay 2 pages (730 words) Sources: 2
Decision to Become a Math Research Paper …
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Math majors seeking a career in this field will be rewarded by high salaries ($42.14 per hour median), faster than average job growth (27%), and a non-competitive job market ("Actuaries: Summary" 2012). In addition, a bachelor's degree is usually sufficient for obtaining an actuary position, although certification is generally required.
For math majors interested in research, but uncertain about pursuing… read more
Research Paper 2 pages (625 words) Sources: 2
[. . . .]
Sn = p (n) (n-1) + 1
Sn = 7n (n-1) + 1
S3 = 7 (3) (3-1) + 1
S3 = 21 (2) + 1
S3= 42 + 1
S3 = 43
Therefore, the general statement within the prevailing terms of p and n is valid.
The general statement is true in case T_(n-1) depicting that a single triangular… read more
Essay 10 pages (2598 words) Sources: 0
Calculus and Definitions Assessment …
[. . . .] In simple terms the Riemann sum is used to define the definite integral of a function. We begin by considering a simple case, whereby the definition of the Riemann integral of a continuous function f over a rectangle R. In this case rather than having a one-variable case, we can overcome the tendency of connecting integration too strongly with anti-differentiation.… read more
Assessment 5 pages (1309 words) Sources: 1+
Mathematical Modeling Term Paper …
Mathematical Modeling
Although even complex mathematical modeling is certainly not new, the process has been facilitated enormously in recent years by the introduction of computer-based modeling applications. Despite these innovations, there are still some significant limitations to mathematical modeling that must be taken into account when using these techniques. To gain some additional insights in this area, this paper provides… read more
Term Paper 4 pages (1320 words) Sources: 1+
How Do We Combat Math Anxiety? Research Paper …
Math Anxiety
How to Combat Math Anxiety
Causes for Anxiety
How to Begin to Help
What Schools Can Do
What Parents Can Do
Albert Einstein once stated, "Do not worry about your difficulties in mathematics; I assure you mine are greater."
Yet no matter how great this man's difficulties were, for those suffering from math anxiety, any math problem is… read more
Research Paper 5 pages (1548 words) Sources: 5
Bayes Probability Can Bayes Confirmation Essay …
[. . . .]
[footnoteRef:7] He was studying the paradox which arises from the use of Bayes theorem when trying to explain phenomena in the field of psychology. He states that; [7: PE Meehl, 'Theory-testing in psychology and physics: A methodological paradox', Philosophy of Science, vol. 34, 1967, pp. 103-115.]
'In the physical sciences [physics, and others], the usual result in an improvement in… read more
Essay 8 pages (2345 words) Sources: 7
Devise a Standard of Existence Rule Essay …
Existence / Rule for Existence
Existence is a philosophical question that has eluded thinkers for centuries. From as early as ancient Greek, philosophers have sought to define existence as a concept to encompass not only the physical world, but those objects that exist in different non-physical plains. It is these issues that present the challenge in determining the true meaning… read more
Essay 4 pages (1190 words) Sources: 4
Statistic Project Term Paper …
Stat Abuse
The Precautionary Principle
Peter T. Saunders of the Mathematics Department of King's College, in London, published an article titled "Use and Abuse of the Precautionary Principle" that deals with a highly specific and unique problem when it comes to the use of statistical information. Many statistical abuses occur when conclusions not fully supported by statistics are asserted, or… read more
Term Paper 2 pages (496 words) Sources: 1
Improved Your Knowledge, Skills, Abilities, and Yourself Essay …
Improved Your Knowledge, Skills, Abilities, and Yourself in This Session Through This Course
The mathematical skill that was taught in the course is necessary for a career that may be related to business, investment and analysis. In other words the course shows the path to business mathematics by the use of exponential, and logarithmic functions that management use in the… read more
Essay 2 pages (704 words) Sources: 0
[. . . .]
1 (for points). Mean height is 78.7 and mean points is 16.843, so calculating the covariance of this data pair would look like this:
(72 -- 78.7)(13.1-16.843) = 25.0781
In order to develop the value for each pair, two new columns were created in the Excel sheet to calculate the difference of the data point and the mean with the… read more
Term Paper 2 pages (614 words) Sources: 0
How Math Explains the World Term Paper …
Math Explains the World
The title of James Stein's book, How Math Explains the World, is, perhaps, a bit deceptive. The reader who is expecting simplified explanations of complex mathematical principles will be disappointed. Although Stein has simplified many concepts, they will still be challenging for the reader who struggled with math in high school or who took only the… read more
Term Paper 4 pages (1403 words) Sources: 2
Mathematical Knowledge for Teaching Article Review …
Mathematical Knowledge in Education
Differentiating Types of Mathematical Knowledge and Relevance to Education
Ball, D.L., Lubienski, S., and Mewborn, D. (2001). "Research on teaching mathematics:
The unsolved problem of teachers' mathematical knowledge." (In Handbook of Research on Teaching. New York: Macmillan).
Generally, mathematics proficiency among teachers corresponds to higher achievement in their students. While that conclusion has been supported by… read more
Article Review 4 pages (1055 words) Sources: 0
Butts, R.E. (2001). Galileo. In W.H. Newton-Smith Annotated Bibliography …
Butts, R.E. (2001). Galileo. In W.H. Newton-Smith (Author), a companion to the philosophy of science (pp. 149-152). Malden, MA: Blackwell Pub.
This excerpt from a reference work is a biographical sketch of Galileo, 17th
century Italian scientist. It outlines five crucial achievements that he made, a few of which include his divergence from Aristotelian theories of science, his advocacy of… read more
Annotated Bibliography 3 pages (864 words) Sources: 0
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Calculations: a = (2)2 -- (1)2 = 4 -- 1 = 3; b = 2(2)(1) = 4; c = (2)2 + (1)2 = 4 + 1 = 5
Thus, a = 3, b = 4, and c = 5. This triple is already known to fulfill the Pythagorean Theorem equation. One can continue to generate triples using the same formula… read more
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Pre-Calc Trigonometry Journal …
Modeling Real-World Data with Sinusoidal Functions
The sinusoid which is sometimes referred to as the sine wave referrers to a function of mathematics describing a smooth oscillation that is also repetitive. It usually takes place in pure mathematics and also in physics, electrical engineering and signal processing besides numerous other fields. Its form as a function of time (t) is:… read more
Journal 9 pages (2604 words) Sources: 1+
Bayesian Methods for Data Analysis in Transcription Networks Term Paper …
Bayesian method refers to methods on probability and statistics particularly those related to the degree of belief interpretation of probability as opposed to frequency interpretation. In Bayesian statistics, a probability is assigned to a statement, whereas under frequency conditions the hypothesis is tested without this probability. Bayesian method, or probability, may be seen as an extension of logic that involves… read more
Term Paper 6 pages (1735 words) Sources: 10
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