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1993

Dissertations

Applied Mathematics

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Symbol Sense And Its Development In Two Computer Algebra System Environments, Brian A. Keller Dec 1993

Symbol Sense And Its Development In Two Computer Algebra System Environments, Brian A. Keller

Dissertations

The purposes of this study were to: (a) explicate the nature of symbol sense, (b) determine the differential effects of two computer algebra system (CAS) environments on students' development of symbol sense, (c) explore differences in symbol sense among students using a CAS and students not using a CAS, and (d) examine students' achievement in calculus with and without the use of a CAS.

Six sections of first-semester calculus at Western Michigan University during the 1992-93 academic year were used in the study. The investigator taught two CAS sections both semesters (n = 41, 34 Fall and n = 35, …


Distances Associated With Subgraphs And Subdigraphs, Steven John Winters Jun 1993

Distances Associated With Subgraphs And Subdigraphs, Steven John Winters

Dissertations

The defining properties of several important subgraphs and subdigraphs rely on the concept of distance in graphs and digraphs. In this dissertation, we investigate many of these subgraphs and subdigraphs.

In Chapter I, we present some preliminary definitions and examples. In addition, many known results are recalled. We then introduce several new induced subgraphs and subdigraphs.

In Chapter n, we investigate the general structure of the center and periphery of a graph. We introduce two new induced subgraphs of the center along with a new induced subgraph of the periphery of a graph in order to study these structures.

For …


Robust Rank-Based Inference Procedures In The Heteroscedastic Linear Model, Sherry L. Dixon Apr 1993

Robust Rank-Based Inference Procedures In The Heteroscedastic Linear Model, Sherry L. Dixon

Dissertations

No abstract provided.