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Using computers and student-oriented software to enhance teacher knowledge of mathematics and acceptance of computers in instruction

Description: The problem with which this study is concerned is the possibility of increasing mathematical problem-solving knowledge of elementary school teachers and the acceptance of computers in instruction through the use of computers and student-oriented computer software.
Date: May 1991
Creator: Canaday, Kathlyn Y. (Kathlyn Yvonne)
Partner: UNT Libraries
open access

The AWM-SIAM Sonia Kovalesvky Lecture - 3 part Lecture Series

Description: The Association for Women in Mathematics (AWM) in cooperation with the Society for Industrial and Applied Mathematics (SIAM) and with funding from the Department of Energy initiated a new lecture series. The purpose of the lecture series is to increase the visibility of women who have made significant contributions in applied or computational mathematics. The AWM-SIAM Sonia Kovalevsky Lecture is presented at the SIAM Annual Meeting which is a national conference. The lecturer is a woman who has… more
Date: June 3, 2003
Creator: Lenhart, Suzanne & Lewis, Jennifer
Partner: UNT Libraries Government Documents Department
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Mathematical and Numerical Studies of Nonstandard Difference Equation Models of Differential Equations

Description: This research examined the following items/issues: the NSFD methodology, technical achievements and applications, dissemination efforts and research related professional activities. Also a list of unresolved issues were identified that could form the basis for future research in the area of constructing and analyzing NSFD schemes for both ODE's and PDE's.
Date: December 22, 2008
Creator: Mickens, Ronald E.
Partner: UNT Libraries Government Documents Department
open access

The Effects of Specialized Skill Instruction on the Ability of Six-Grade Students to Solve Mathematical Word Problems

Description: The purpose of this study was to evaluate the effects of specialized skill instruction on the ability of sixth-grade students to solve mathematics word problems. Subjects were 578 sixth graders from eight elementary schools. Researcher-developed materials were used based on seven identified content strands. Specific sections of a widely used achievement test were used to identify ability groups in both reading and mathematics and served as the pretest and posttest measures.
Date: May 1984
Creator: Kuzminski, Pamela Plunkett
Partner: UNT Libraries
open access

Application of automated deduction to the search for single axioms for exponent groups

Description: We present new results in axiomatic group theory obtained by using automated deduction programs. The results include single axioms, some with the identity and others without, for groups of exponents 3, 4, 5 and 7, and a general form for single axioms for groups of odd exponent. The results were obtained by using the programs in three separate ways: as a symbolic calculator, to search for proofs,and to search for couterexamples. We also touch on relations between logic programming and automated … more
Date: February 11, 1992
Creator: McCune, W. & Wos, L.
Partner: UNT Libraries Government Documents Department
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Catastrophe theory. Part I. Mathematical aspects

Description: This reasonably self-contained report on Catastrophe Theory begins with the mathematical history of Catastrophe Theory and discusses the relation between Catastrophe Theory and the ''Catastrophe Theorem'' presented in the report. Catastrophe Theory consists of a ''local'' classification theorem for unfoldings of germ singularities, which satisfy certain conditions. The ''classification'' is a list of seven (nonsimilar) irreducible unfoldings (and their respective germs), such that the given unf… more
Date: October 8, 1976
Creator: Zaslawsky, E. G.
Partner: UNT Libraries Government Documents Department
open access

Dimension of chaotic attractors

Description: Dimension is perhaps the most basic property of an attractor. In this paper we discuss a variety of different definitions of dimension, compute their values for a typical example, and review previous work on the dimension of chaotic attractors. The relevant definitions of dimension are of two general types, those that depend only on metric properties, and those that depend on probabilistic properties (that is, they depend on the frequency with which a typical trajectory visits different regions… more
Date: September 1, 1982
Creator: Farmer, J. Doyne; Ott, Edward & Yorke, James A.
Partner: UNT Libraries Government Documents Department
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A Compendium of Math and Science Research Funded by NCER and NCSER: 2002-2013

Description: A compendium of math and science educational programs that are further subdivided by content area, grade level, outcomes, and emerging college- and career-readiness standards. The development of all programs is based upon research conducted by the National Center for Education Research (NCER) and the National Center for Speical Education Research (NCSER).
Date: 2016
Creator: Yamaguchi, Ryoko; Hall, Adam; Larson, Meredith; Stapleton, Katina; Chhin, Christina & Ochsendorf, Rob
Partner: UNT Libraries Government Documents Department
open access

Asymptotic normality of X/sup 2/ in mxn tables with n large and small cell expectations

Description: Asymptotic normality for chi/sup 2/ used as a test for homogeneity is established under nonstandard conditions. The case of an mxn table with m fixed and the total number of observations proportional to n is studied for n large. Results are obtained under very mild assumptions on the marginal totals.
Date: January 1, 1977
Creator: Cuzick, Jack
Partner: UNT Libraries Government Documents Department
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The impact of HPF data layout on the design of efficient and maintainable parallel linear algebra libraries

Description: In this document, the authors are concerned with the effects of data layouts for nonsquare processor meshes on the implementation of common dense linear algebra kernels such as matrix-matrix multiplication, LU factorizations, or eigenvalue solvers. In particular, they address ease of programming and tunability of the resulting software. They introduce a generalization of the torus wrap data layout that results in a decoupling of {open_quotes}local{close_quotes} and {open_quotes}global{close_quo… more
Date: March 1, 1994
Creator: Bischof, C. H.; Huss-Lederman, S.; Jacobson, E. M.; Sun, Xiaobai & Tsao, A.
Partner: UNT Libraries Government Documents Department
open access

Rule matrices, degree vectors, and preimages for cellular automata

Description: Cellular automata are mathematical systems characterized by discreteness (in space, time, and state values), determinism, and local interaction. Few analytical techniques exist for such systems. The rule matrix and degree vectors of a cellular automaton -- both of which are determined a priori from the function defining the automaton, rather than a posteriori from simulations of its evolution -- are introduced here as tools for understanding certain qualitative features of automaton behavior. T… more
Date: January 1, 1989
Creator: Jen, E.
Partner: UNT Libraries Government Documents Department
open access

A note on the total least squares problem for coplanar points

Description: The Total Least Squares (TLS) fit to the points (x{sub k}, y{sub k}), k = 1, {hor_ellipsis}, n, minimizes the sum of the squares of the perpendicular distances from the points to the line. This sum is the TLS error, and minimizing its magnitude is appropriate if x{sub k} and y{sub k} are uncertain. A priori formulas for the TLS fit and TLS error to coplanar points were originally derived by Pearson, and they are expressed in terms of the mean, standard deviation and correlation coefficient of t… more
Date: September 1, 1994
Creator: Lee, S. L.
Partner: UNT Libraries Government Documents Department
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On the numerical stability of quasi-definite systems

Description: The authors discuss the solution of sparse linear equations Kd = r, where K is a symmetric and specially structured indefinite matrix that often arises in numerical optimization. For such K, the indefinite factorization K = LDL{sup T} is known to exist in exact arithmetic with 1 {times} 1 pivots and no row or column interchanges. It is shown that the stability of the LDL{sup T} factorization of this matrix is naturally connected with the stability of the LDM{sup T} factorization of a closely re… more
Date: June 1, 1993
Creator: Gill, P. E.; Shinnerl, J. R. & Saunders, M. A.
Partner: UNT Libraries Government Documents Department
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Impact of Increased High School Mathematics Requirements on College Entrance Exam-Taking and Scores

Description: Research shows that students who take advanced mathematics courses perform better on measures of college readiness than students who take less rigorous courses. However, no clear effect has been shown on requiring all students to take more advanced courses. This study examined whether increases in the number and level of mathematics courses required for high school graduation have resulted in increased levels of college aspirations and preparedness. Specifically, twenty years of data from a rur… more
Date: May 2020
Creator: Richardson, Connie J.
Partner: UNT Libraries
open access

Variable Metric Method for Minimization

Description: A method is presented for numerically determining local minima of differentiable functions of several variables. In the proeess of locating each minimum, a matrix is determined which characterizes the behavior of the function about the minimum. For a region in which thc function depends quadratically on the variables, no more than N iterations are required, where N is the number of variables. By suitable choice of starting values and without modification of the procedure, linear constraints can… more
Date: May 1, 1959
Creator: Davidon, W. C.
Partner: UNT Libraries Government Documents Department
open access

Variable Metric Method for Minimization

Description: A method for determining numerically local minima of differentiable functions of several variables is presented. In the process of locating each minimum, a matrix which characterizes the behavior of the iunction about the minimum is determined. For a region in which the function depends quadratically on the variables, no more than N iterations are required, where N is the number of variables. By suitable choice of starting values and without modification of the procedure, linear constraints can… more
Date: November 1, 1959
Creator: Davidon, W. C.
Partner: UNT Libraries Government Documents Department
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