The problem, first posed by an Italian monk in the late 1400s, had remained unsolved for nearly two hundred years. The issue in question was to decide how the stakes of a game of chance should be divided if that game were not completed for some reas Continue Reading...
This engaged the whole class, regardless of their previous comfort level with mathematics. Graphing was also helpful for students to visualize what things really 'meant' in terms of the numbers they were studying. Communication Solving word proble Continue Reading...
Use the appropriate representations to model problems in the physical and social sciences (Ibid.) Numeration Systems and Number Theory -- Number theory is a basis for all areas of mathematics. Number theory and sense are precludes to computation, t Continue Reading...
Mathematics as the reading suggests posses many characteristics, being derived from individual genius but thriving only when the culture or wider community as described by the text accepts the principles and applications surrounding it (p. 64). Ind Continue Reading...
Chinese Mathematics In ancient China, the science of mathematics was subsumed under the larger practice of suan chu, or the "art of calculation." The Chinese are believed to be one of the first civilizations to develop and use the decimal numeral sy Continue Reading...
For instance, classical mathematicians by definition rely on Plato's theory of forms as the underlying basis of their mathematical worldview. The Platonist assumes the existence of true, immutable, and universal forms and structures that the mathema Continue Reading...
2007, p. 115). Likewise, a study by Wyndhamm and Saljo found that young algebra learners were more successful in their problem-solving efforts when collaborating in a group environment. According to these researchers, "An experiment involving 14 sma Continue Reading...
populations, factors, or variables. The objective of carrying out this statistical analysis is to learn more about the relations between variables that may influence student performance in the Lincoln County schools. The specific variables of inter Continue Reading...
Guillaume Francois Antoine de L'Hopital was born in Paris, France in the year 1661 into a noble family under the rule of King Louis XIV. This was during the time of French expansion and colonialism throughout the world. L'Hopital's parents noticed hi Continue Reading...
All models are not perfect mirrors of reality, merely guides for the business professional. But the models of basic integral calculus allow a businessperson to at least apply a few indeterminate variables or scenarios to a model, to price a particul Continue Reading...
Proof, a NOVA episode aired on PBS [...] review the video, with a focus on what the video tells us about how people learn to do mathematics. Compare and contrast this with your own experiences with mathematics, particularly your approach toward lear Continue Reading...
Low math scores of American elementary students has been a major issue in education for some time. The Third International Mathematics and Science Study (TIMMS) conducted in 1995 showed the extent of the problem. The TIMMS study compared students in Continue Reading...
Division by Zero Mathematics is unique in that it is an objective subject. When answering a question, something is either empirically true or it is completely false; there is little if any subjectivity about it in most situations. One of the most in Continue Reading...
" This reflects the gap that exists between the complexities of the real world and the abilities of abstract models. Models are by definition simplified ways of understanding complex phenomenon; they are necessarily incomplete in their estimations an Continue Reading...
Normal Distribution Curve and Its Application in Psychology When a curve (reflecting the statistical results of the sampled population) is not skewed in any particular direction but is rather symmetrical (rather than being 'asymmetrical'). We have Continue Reading...
Part 2 One of the important issues that this type of statistical sampling conducted by the substitute teacher was her choice of students to inquire about their test results. In a class size of 30, 5 students hardly represent the whole class; in fa Continue Reading...
Mathematics in Digital Photography The advances in both digital photography and computing have allowed more detailed and complex images to be shown on more realistic media than was ever previously possible. Through the use of more specialized equipm Continue Reading...
Aristotle used mathematics in many of his other studies, as well. Another writer notes, "Aristotle used mathematics to try to 'see' the invisible patterns of sound that we recognize as music. Aristotle also used mathematics to try to describe the in Continue Reading...
e. all loans. The same basic formulas using logarithms can be used to calculate the needed number of investments and/or the time period of investments at a given growth rate that will be needed in order to reach a target level of investments savings Continue Reading...
Islamic art not only demonstrates the symbolic significance of geometric forms and their psychological, social, religious, and aesthetic functions. In addition to these purposes, Islamic art also demonstrates symmetry. Symmetry's appeal is well-kno Continue Reading...
Stochastic modeling is a mathematical technique of decision making where some of the data that are incorporated into the objective or constraints of the mathematical functions are uncertain. Mathematically, uncertainty is normally characterized throu Continue Reading...
As such, the statistician has a duty not only to make sense of the data but also to . "…develop the means to insure the proper interpretation of such information by all relevant parties…"(Ostapski and Superville). This refers to the eth Continue Reading...
Standard Deviation To truly understand the meaning of the concept "standard deviation," it is important to first look and examine the words themselves. "Deviation" is a word that explains normalcy and conformity. It is used to explain and highlight Continue Reading...
Nonlinear Optimization and Excel Solver Nonlinear optimization Optimization has been considered among the most essential areas of modern applied mathematics, with its applications being in various fields such as in economics, engineering, statistic Continue Reading...
Digital Signature Scheme Based on Factorization The objective of this study is to discuss an issue in cryptography or computer security. Digital signatures are described as "an analog of handwritten signatures" which are based on "the physically idi Continue Reading...
There are many other variables that would affect real-world riding speed, and the effort variable would also be far more complicated than represented here, but this should suffice for now. Several equations can be written using the variables defined Continue Reading...
The first two murders that follow the suffocation of Mrs. Eagleton seem clearly connected -- one at a hospital, another at a concert. But then follows other killings accompanied by symbols that seem deliberate, like a bus driver who crashes his bus Continue Reading...
Hypatia of Alexandria, daughter of Theon. Specifically, it will examine the life of Hypatia, especially her mathematical accomplishments. Hypatia was the first female mathematician that left a record that historians can trace. She was a philosopher, Continue Reading...
Probability is a basic mathematical concept that requires one to understand how odds work. Probability is a useful skill to have, whether for playing cards, or for implementing things like decision trees in business, where ideas like compound probabi Continue Reading...
Texas Hold 'em To solve this problem, there are a couple of steps. These steps are based on the principle of expected outcomes, which are played out over the long run. So the first step is to calculate the odds of receiving a card on the river that Continue Reading...
Euclid -- 323-285 B.C was a historical figure who taught at Alexandria in Egypt. There are three hypotheses revolving around Euclid's life. The first is that he wrote his magnum opus the Elements as also contributed a lot of other works. Another inte Continue Reading...
For the purposes of this review, Web-based instruction is considered to be any educational or training program distributed over the Internet or an intranet and conveyed through a browser, such as Internet Explorer or Netscape Navigator. Java applet Continue Reading...
First, math courses are required as part of college work in the pursuit of most degrees in the health care field. The level of required achievement is different, depending on the degree sought. For example, a student pursuing an LPN may take a semes Continue Reading...
lives of Archimedes and Carl Friedrich Gauss, two of the greatest mathematicians of all time, through a point by point comparison of their childhood and education, mathematical contributions and the influence their work has on the science of mathema Continue Reading...
Math and ExcelI agree that having a solid math foundation can be beneficial when using Microsoft Excel. I would think that, yes, if you want to be really proficient in Excel you should know some math. First of all, Excel relies heavily on mathematica Continue Reading...
This has had the unintended consequence of increasing the dropout rate, as students who fail to perform and to be promoted leave the schools altogether. Many good, creative teachers also drop out, frustrated with the stringent controls placed upon t Continue Reading...
Pascal's Triangle [...] who really invented Pascal's Triangle. While the mathematical formula known as "Pascal's Triangle" has long been attributed to its' namesake, Blaise Pascal, this is not really the case. The formula was simultaneously discover Continue Reading...
Table of ContentsPageChapter 1: IntroductionStatement of the ProblemThe Research Problem ....Background and Justification....Deficiencies in Evidence..AudienceSetting of the StudyResearchers RolePurpose of the StudyChapter 2: Literature ReviewTheoret Continue Reading...
If the captain knows the position of the lighthouses from a map, can the captain determine the position of the ship?" Analysis of the five processes in the context of problem solving Problem solving Using problem solving to solve a mathematical p Continue Reading...
To continue to rely on old models while new technology is available is negligence. Therefore the authors are adding to the knowledge base of this issue by offering a new model and pointing to a new direction for scientific research. Yet, they fail t Continue Reading...
