In this article we provide two detailed examples of how we incorporate biological examples into two mathematics courses: Linear Algebra and Ordinary Differential Equations. We use Leslie matrix models to demonstrate the biological properties of eigenvalues and eigenvectors. For Ordinary Differential Equations, we show how using a logistic growth…

Simple continuity is applied with graph theory to generate a student flow model with multiple inputs and outputs. A graph of all semesters or nodes is laid out along with an input block for transfers in and an output block for transfers out. Arcs are connected from the zero node to the graduation node and these are placed in a time-forward…

A procedure for developing a comprehensive faculty evaluation program is described with examples of various components. Procedures for implementing such a program are discussed. Determining and weighting faculty roles, defining roles and gaining information, and arriving at a matrix are described. (Author/MLW)

This unit, which looks at applications of linear algebra to population studies, is designed to help pupils: (1) understand an application of matrix algebra to the study of populations; (2) see how knowledge of eigen values and eigen vectors is useful in studying powers of matrices; and (3) be briefly exposed to some difficult but interesting…

Introduces a schema for classifying research in mathematics education that deepens and extends the Romberg/Bourne Model. Employs dual hierarchical systems, one related to the research task and the other to research technique. (Author/CCM)

Developed a structural analysis of 3 spatial diagrams (matrices, networks, and hierarchies) that specifies 10 properties on which these diagrammatic representations are hypothesized to differ. Coded verbal protocols of 23 college students about these representations. Results suggest that the organization of students knowledge is consistent with…

Drawing on the authors' extensive experience at Stanford University as well as the work of others, this book offers the first systematic approach to fiscal and human resource planning at colleges and universities. It shows how decision models can and should become an integral part of the planning process. The uses and misuses of planning models in…

Two sets of five items each from the Law School Admission Test were analyzed by two methods of factor analysis, and by the Krus-Bart ordering theoretic method of multidimensional scaling. The results indicated a conceptual gap between latent trait theoretic procedures and order theoretic procedures. (Author/CTM)

A complete matrix formulation of the theory of small oscillations is presented. Simple analytic solutions involving matrix functions are found which clearly exhibit the transients, the damping factors, the Breit-Wigner form for resonances, etc. (BB)

Four models for conceptualizing a circulation matrix containing the number of books borrowed according to subject and majors of student borrowers compare (1) majors; (2) subjects; (3) disciplines, suppressing the distinction between majors and subjects; and (4) majors with subjects. Results of multidimensional scaling analysis of the models are…

Organizational facilitation of student development is a significant but difficult process in colleges and universities with traditional priorities on academic concerns. Organizational factors are analyzed and a model is proposed implementing student development through the accommodation of diverse organizational elements and by an integrated…

Uses a matrix to identify conceptual gaps in a bibliographic instruction program at an academic library and discusses a curriculum design model that includes objectives in the affective and sensorimotor domains as well as cognitive instruction. Application of the model to a computer-assisted bibliographic instruction project is described. (10…

The purpose of this paper is to help higher education institutions determine how well their institutional effectiveness models match the North Central Association of Colleges and Schools Commission on Institutions of Higher Education Criterion Four requirements. The paper describes each of the major requirements as a domain in a matrix with…

Characteristics of liberal arts education and different approaches to educational modeling are examined. Attention is directed to: applications of graphic depictions; Venn-Euler diagrams to represent inclusion-exclusion phenomena as well as areas of commonality in learning processes and liberal education; the uses of flow charts for describing…

The development of a curriculum review mechanism, the Curriculum Interaction Model (CIM) and how it is being used for academic planning and management purposes at two distinctly different institutions, the State University College of New York at Buffalo and Barnard College of Columbia University, is described. The CIM is a quantitative academic…