Mathematics Commons^™

Long-Step Homogeneous Interior-Point Method For P*-Nonlinear Complementarity Problem, Goran Lesaja

Department of Mathematical Sciences Faculty Publications

A P*-Nonlinear Complementarity Problem as a generalization of the P*Linear Complementarity Problem is considered. We show that the long-step version of the homogeneous self-dual interior-point algorithm could be used to solve such a problem. The algorithm achieves linear global convergence and quadratic local convergence under the following assumptions: the function satisfies a modified scaled Lipschitz condition, the problem has a strictly complementary solution, and certain submatrix of the Jacobian is nonsingular on some compact set.

Comments On Zal Usiskin's Article In The Humanistic Mathematics Network Journal For May, 2001, Robert Stein

Humanistic Mathematics Network Journal

No abstract provided.

Humanizing Mathematics: The Humanistic Impression In The Course For Mathematics Teaching, Ada Katsap

Humanistic Mathematics Network Journal

No abstract provided.

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.

When Is A Math Problem Really "Real"?, Michael E. Goldberg

Humanistic Mathematics Network Journal

No abstract provided.

"Magic In A Box", Lacie Juris

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.

Portfolio Assessment In Liberal Arts Mathematics, Mike Kenyon

Humanistic Mathematics Network Journal

This paper describes my efforts to incorporate problem-solving portfolios into my liberal arts mathematics course. I begin with a description of the components of the portfolios and the factors I consider in evaluating them. I then address some of the more significant obstacles I have encountered as well as what I consider to be among the major benefits. A selection from one student’s portfolio is appended.

Marcy's Dots: A Problem On National Test Revisited, Patricia Baggett, Andrzej Ehrenfeucht

Humanistic Mathematics Network Journal

No abstract provided.

Divisibility: A Problem Solving Approach Through Generalizing And Specializing, Rina Zazkis

Humanistic Mathematics Network Journal

This paper describes a divisibility rule for any prime number as an engaging problem-solving activity for preservice secondary school mathematics teachers.

Teaching As Though Students Mattered: A Biography Of Alvin White As Told To Sandra Keith, Alvin White, Sandra Z. Keith

Humanistic Mathematics Network Journal

No abstract provided.

Humanistic Mathematics: Personal Evolution And Excavations, Stephen I. Brown

Humanistic Mathematics Network Journal

No abstract provided.

Creating Successful Calculus Writing Assignments, Kris H. Green

Mathematical and Computing Sciences Faculty/Staff Publications

I discuss three different writing assignments that I have used in my calculus courses. These assignments are introduced with a discussion of purpose and audience. Defining these qualities of an assignment will ensure that your writing assignments are more successful. The assignments discussed and explored here represent three different purposes: personal, informational and a blend of the two. The audiences for these assignments are diverse and force the students to incorporate particular modes of writing that demonstrate much of their thinking. Assessment of student learning as a result of these assignments is discussed. A fourth writing assignment is developed from …

A Note On Computing The Generalized Inverse A^(2)_{T,S} Of A Matrix A, Xiezhang Li, Yimin Wei

Department of Mathematical Sciences Faculty Publications

The generalized inverse A T,S (2) of a matrix A is a {2}-inverse of A with the prescribed range T and null space S. A representation for the generalized inverse A T,S (2) has been recently developed with the condition σ (GA| T)⊂(0,∞), where G is a matrix with R(G)=T andN(G)=S. In this note, we remove the above condition. Three types of iterative methods for A T,S (2) are presented if σ(GA|T) is a subset of the open right half-plane and they are extensions of existing computational procedures of A T,S (2), including special cases such as the weighted Moore-Penrose …

On Inequalities And Partial Orderings For Weighted Reliability Measures, Broderick O. Oluyede

Department of Mathematical Sciences Faculty Publications

Inequalities, relations and partial ordering for weighted reliability measures are presented. Inequalities for Lévy distance measure for weighted distributions are obtained in terms of the parent distributions. Reliability inequalities and stability results are established for weighted distributions with monotone hazard and mean residual life functions.

On Stochastic Inequalities And Comparisons Of Reliability Measures For Weighted Distributions, Broderick O. Oluyede, E. Olusegun George

Department of Mathematical Sciences Faculty Publications

Inequalities, relations and stochastic orderings, as well as useful ageing notions for weighted distributions are established. Also presented are preservation and stability results and comparisons for weighted and length-biased distributions. Relations for length-biased and equilibrium distributions as examples of weighted distributions are also presented.

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.

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 …

Variables Related To The Successful Completion Of The First Course In Business Calculus At Three Jamaican Universities, Martin Nkhrama Richards

Dissertations

Problem. Many students at all levels of the education system in Jamaica perform poorly at mathematics. In particular, the results of both the Caribbean Examinations Council and Business Calculus 1 at the university level have reflected a declining trend in mathematics performance in recent years. Consequently, this study sought to investigate the variables related to the successful completion of the first course in business calculus at Jamaican universities. To this end, the study looked at perceptions of students and their professors regarding students' cognitive, affective, and professor effectiveness variables impacting success.

Method. The sample for this study consisted of 389 …