Mathematics Commons^™

Of Parts And Wholes: Self-Similarity And Synecdoche In Science, Culture And Literature, Dirk Vanderbeke

Reconstruction: Studies in Contemporary Culture

[Editors' Introduction]

The discussion here centers on how self-similarity, or parts resembling a whole, has been a recurring aspect in the most diverse fields of human thinking from antiquity to the present. Primary examples are drawn from physics, biology, cybernetics, alchemy, philosophy, myth and, of course, language and literature. The author argues that self-similar patterns are one of the persistent ways in which the human mind structures its experience and knowledge of the world, and then examines some of the questions that arise when an almost ubiquitous concept, structure or linguistic and literary phenomenon resurfaces in a new guise in …

Analysis Of Social Aspects Of Migrant Labourers Living With Hiv/Aids Using Fuzzy Theory And Neutrosophic Cognitive Maps, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic logic grew as an alternative to the existing topics and it represents a mathematical model of uncertainty, vagueness, ambiguity, imprecision, undefined-ness, unknown, incompleteness, inconsistency, redundancy and contradiction. Despite various attempts to reorient logic, there has remained an essential need for an alternative system that could infuse into itself a representation of the real world. Out of this need arose the system of neutrosophy and its connected logic, neutrosophic logic. This new logic, which allows also the concept of indeterminacy to play a role in any real-world problem, was introduced first by one of the authors Florentin Smarandache. In this …

Assessing Left-Handedness With Exact And Approximate Confidence Intervals Appropriate For Samples Of Different Sizes, Virginia Gardner

Honors Capstones

Capstone submitted as a graduation requirement for the BSU Honors Program.

Fuzzy Cognitive Maps And Neutrosophic Cognitive Maps, W. B. Vasantha Kandasamy, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

As extension of Fuzzy Cognitive Maps are now introduced the Neutrosophic Cognitive Maps

Pat's Prologues: Introductions To The First Two Airings Of Math Medley, A Radio Talk Show, Patricia Clark Kenschaft

Humanistic Mathematics Network Journal

No abstract provided.

Book Review: The Teaching Gap By James W. Stigler And James Hiebert, Michael L. Brown

Humanistic Mathematics Network Journal

No abstract provided.

High-Stakes Tests Require High-Stakes Pedagogy, Randy Lattimore

Trotter Review

High-stakes mathematics tests continue to gain popularity in the United States, with an increasing number of states setting the passing of such tests as a high school graduation requirement. Consequently, instruction and instructional content have changed, with teachers emphasizing materials on the test while neglecting other important aspects of learning. The tests have become all-consuming, taking over many students' lives. Yet students are often ill prepared for these tests. This is even more true for African-American students whose cultural and social circumstances make their preparation for high-stakes tests inadequate and ineffective. The author examines six such students - their hopes …

Why Makik Can "Do" Math: Race And Status In Integrated Classrooms, Jacqueline Leonard, Scott Jackson Dantley

Trotter Review

This case study reports on the small group interactions and achievements of Malik, an African American sixth grader, who attended a Maryland elementary school in 1997. Student achievement was measured by the Maryland Functional Mathematics Test (MFMT-I), which was given on a pre/post basis. Students' scores on the MFMT-I were analyzed using the ANOVA. The analysis revealed a significant difference (F = 3-330, p < .05) between the scores of Caucasian (M = 342.12) and African American students (M = 323-56). However, Malik's MFMT-I score rose from 293 to 353. A passing score is 340. This study examines Malik's interactions to ascertain what factors influenced his achievement. The findings are that Malik had a positive attitude about mathematics and a strong command of mathematical and scientific language. Recommendations are that teachers become cultural brokers to help all children learn the "language" of mathematics and encourage all students to become self-advocates to overcome negative social dynamics in small groups.

Randomness And Optimal Estimation In Data Sampling, Florentin Smarandache, Mohammad Khosnevisan, Housila P. Singh, S Saxena, Sarjinder Singh

Branch Mathematics and Statistics Faculty and Staff Publications

The purpose of this book is to postulate some theories and test them numerically. Estimation is often a difficult task and it has wide application in social sciences and financial market. In order to obtain the optimum efficiency for some classes of estimators, we have devoted this book into three specialized sections: Part 1. In this section we have studied a class of shrinkage estimators for shape parameter beta in failure censored samples from two-parameter Weibull distribution when some 'apriori' or guessed interval containing the parameter beta is available in addition to sample information and analyses their properties. Some estimators …

Helping At-Risk Students Add Up: Motivational Lessons For Students In High School Mathematics, Karen Beckner

Mahurin Honors College Capstone Experience/Thesis Projects

No abstract provided.

On The Evolution Of Probability-Weighting Function And Its Impact On Gambling, Steven Li, Yun Hsing Cheung

Research outputs pre 2011

It is well known that individuals treat losses and gains differently and there exists non-linearity in probability. The asymmetry between gains and losses is highlighted by the reflection effect. The non-linearity in probability is described by the curvature of the probability-weighting function. This paper studies the evolution of the probability-weighting function. It is assumed that the probability weighting for an individual follows a mean-reverting stochastic process. The Monte Carlo simulation technique is employed to study the evolution of the weighting function. The evolution of the probability- weighting function implies that an individual does not treat gains or losses consistently over …

The School/Home Communication Project: A Study Of The Effect Of More Frequent Grade Reporting On The Achievement Of High School Mathematics Students, Robert Dean Rogers

Humanistic Mathematics Network Journal

No abstract provided.

Book Review: Geometry From Africa: Mathematical And Educational Explorations By Paulus Gerdes, Claudia Zaslavsky

Humanistic Mathematics Network Journal

No abstract provided.

Using Environmental News To Help Teach Mathematics, Barry Schiller

Humanistic Mathematics Network Journal

No abstract provided.

Use Your Head: Mathematics As Therapy, Miriam Lipschutz-Yevick

Humanistic Mathematics Network Journal

No abstract provided.

Coherence In Theories Relating Mathematics And Language, Carl Winsløw

Humanistic Mathematics Network Journal

No abstract provided.

Mathematics And Sex, Yan Kow Cheong

Humanistic Mathematics Network Journal

No abstract provided.

Letter To The New York Times, Arthur B. Powell, Miriam L. Yevick

Humanistic Mathematics Network Journal

No abstract provided.

Book Announcement: Women, Art And Geometry In Southern Africa, By Paulus Gerdes

Humanistic Mathematics Network Journal

No abstract provided.

Natural Math, Maria Droujkova

Humanistic Mathematics Network Journal

No abstract provided.

What Does Equality Mean?--The Basque View, Marcia Ascher

Humanistic Mathematics Network Journal

No abstract provided.

Plastic Pebbles, Virginie H. Mitchem

Humanistic Mathematics Network Journal

No abstract provided.

Manifesto On Mathematical Education, Saunders Mac Lane

Humanistic Mathematics Network Journal

No abstract provided.

Ua66/10/2 Alumni Newsletter, Wku Mathematics

WKU Administration Documents

Newsletter created by and about the WKU Mathematics department.

Book Review: Ethnomathematics--Challenging Eurocentrism Inmathematics Education, Edited Byarthur B. Powell And Marilyn Frankenstein, Karen Dee Michalowicz

Humanistic Mathematics Network Journal

No abstract provided.

Book Review: The Crest Of The Peacock: Non-European Roots Of Mathematics,By George Gheverghese Joseph, Bernadette Anne Berken

Humanistic Mathematics Network Journal

No abstract provided.

Sand Songs: The Formal Languages Of Warlpiri Iconography, James V. Rauff

Humanistic Mathematics Network Journal

No abstract provided.

Ua66/10/2 Alumni Newsletter, Wku Mathematics

WKU Administration Documents

Alumni newsletter created by and about the WKU Mathematics department.

Gender Discourse In Small Learning Groups Of College-Level Developmental Mathematics Students, Allen W. Emerson

Dissertations

This study was motivated by the question as to whether women’s and men’s membership in different gender communicative cultures gives rise to gender differentiated ways of talking that are implicated in the failure of a mixed-sex group to achieve good mathematical discourse when women and men sit face to face engaged in various mathematical tasks. If so, in what ways and to what effect is gender discourse implicated in the failure of a mixed-sex group to achieve good mathematical discourse?

Models of feminine and masculine discourse styles based on the theory of communicative cultural difference, as well as a model …

A Problem Set In Conditional Probability Using Martingales With A Derivation Of The Gambler’S Ruin Formula, Michael Everett Theriot Jr

Honors Capstones

No abstract provided.