Links internal personality differentiation to external patterns of interpersonal style. Suggests three basic styles in intimate relationships: apathy, reactivity, and conductivity. Discusses each style in detail. (RC)

Some single species and two species interactions in population models are presented to show how credible examples can be used to teach an underlying, common mathematical structure within apparently different concepts. The models examined consist of differential equations, and focus on real-world issues. (MP)

This investigation: (a) assesses developmental differences in children's estimation skills through normative data on performance on a variety of problems; (b) assesses validity of a proposed estimation model on the basis of children's performance; and (c) suggests modifications of the model as a guide to further research. (MP)

Teacher education programs have long attempted to teach students to follow a rational mode of thinking. Recent research on teacher thinking has shown that a gap exists between how teachers think and the rational model. Such research should be used to give teacher educators insight into how their students think and learn. (JN)

Materials designed to promote student investigation of factoring quadratic polynomials over the integers through using a physical model are presented. Pupils are expected to discover regularities that will permit them to factor such polynomials at the symbolic level. Worksheet masters designed for classroom use are provided. (MP)

A discussion of the mathematics of rugby is related to an earlier article about mathematics and the physical world. (MP)

Describes the reconstruction of a conventional thermodynamics curriculum using the Galperin theory of stage-by-stage formation of mental actions and Landa's description of the "through" systematization of knowledge, and discusses the generalizability of the procedures followed in developing the plan for instruction. A 33-item…

Reviews recent progress in modeling human cognition, in particular the use of computers in generating models. Topics covered include the information processing approach to cognition, problem solving, semantic memory, pattern induction, and learning and cognitive development. A 164-item reference list is attached. (JL)

The cognitive method, an algorithmic method for transforming verbal word problems into equations, equation systems, inequalities, etc., is presented and discussed. The psychological and mathematical aspects of the cognitive method are also reviewed. (MP)

Graph theory is presented as a tool to instruct high school mathematics students. A variety of real world problems can be modeled which help students recognize the importance and difficulty of applying mathematics. (MP)

Four experiments compared three alternative models of linear syllogistic reasoning: (1) linguistic; (2) spatial; and (3) mixed linguistic-spatial. The mixed model, indicating the importance of both verbal and spatial ability, was supported by all four experiments, and for about three-fourths of the undergraduate students studied. (Author/GDC)

Children, 9-11 years old, solved subtraction problems in the form of M-N=..., then gave a verbal report on the thought processes used, analysis of which utilized a model based on analyses of reaction times, and resulted in a more detailed process model. (AN)

A model of scientific inquiry is presented, and several instructional strategies that encourage the hypothesis generation component are described. (JMF)

A planning model for the identification of components, activities, and tasks in educational programs and problem solving situations is described. (RAO)

A sophomore-level course in applications of mathematics was designed to introduce students to the diversity of situations in which mathematical models are used. The course precedes the study of the calculus, and is composed of a sequence of modules. A problem-solving approach is used. (SD)