Several approaches to the teaching of matrices are discussed. (SD)

A sample of novel verbal problems which can be solved by using systems of linear equations with free variables is presented. The procedure of Gaussian elimination is used to solve the system. (KR)

In this note we consider a type of integral that is usually presented as an example in any textbook discussion of integration by parts. Invariably this integral is determined by integrating by parts twice and solving. We will present an alternate approach to this integral which makes use of the linearity of the integral, i.e., the fact that…

Several ways to present two theorems (concerning a square matrix and a property of prime numbers) are demonstrated. One way for each theorem is more stimulating, better setting the stage for the proofs. Several methods of presenting proofs are illustrated, with the outcomes considered from the learner's viewpoint. (MNS)

Examples for determining the equation of a line through two points or a quadratic function that contains three noncollinear points are presented. (MNS)

Describes a systematic approach to selecting instructional designs, discussing performance analysis, gaps, elements (inputs, conditions, process, outputs, consequences, feedback), matrices, changes in performance state (establishing, improving, maintaining, and extinguishing performance), intervention interference, and involving others in…

A variety of examples are given from different areas of biology to illustrate the general applicability of matrix algebra to discrete models. These models of biological systems are concerned with relations between processes occurring in discrete time intervals. Diffusion, ecosystems, and different types of cells are modeled. (KR/Author)

This article discusses how teachers use sensory inputs and physical outputs to define learning channels that students use during specific instruction and how teachers can arrange the sensory inputs and physical outputs on a grid to form a learning channel matrix. Three examples of learning channel matrices are presented. (Contains references.)…

The approaches to teaching and learning mathematics in Australian preschools and schools can be quite different. These differences arise from what can be termed different "cultures" within the prior-to-school and school settings. Even the first years of school can be characterized by teacher-centered, syllabus-driven lessons and written,…

Mathematics can be perceived as being a difficult subject to learn due to the conceptual leaps required to understand particular mathematical topics. In some areas of mathematics, part of the difficulty may be associated with applying sufficient imagination to visualize a particular mathematical concept, and applying sufficient visio-spatial…

Explains a three-dimensional conceptual model designed to help outdoor educators plan and evaluate programs that provide primary and reflective experiences in, about, and for the outdoors and that bring about positive growth in the cognitive, affective, and psychomotor domains of learning. (JHZ)

Contends that, although the operant approach to psychology is based on objective empirical observations, much of psychology is filled with subjective, interpretive terminology. Argues that such terminology produces confusion over the definitions of basic operant concepts. Suggests a solution that defines the concepts of positive and negative…

Discusses representations in the context of solving a system of linear equations. Views representations (concrete, tables, graphs, algebraic, matrices) from perspectives of understanding, technology, generalization, exact versus approximate solution, and learning style. (KHR)