A computer program that uses determinants to solve simultaneous systems of equations is presented. The purpose is to show teachers how to use topics from algebra, geometry, and programing to lead pupils to appreciate the beauty and unity of mathematics. (MP)

An attempt is made to link the domain of mathematics and the natures and abilities of mathematicians to that which is perceptual, presentational, and implicit. (MP)

Identified some experiences that lead to preschool children's transition from less to more systematic problem-solving strategies. Receiving encouragement to adopt more analytic attitudes and encountering problems with perceptually salient differences on a relevant dimension were the two types of experiences examined. (Author/DB)

Describes a problem-solving model developed by economists that incorporates the use of economics into the high school social studies curriculum. Model components include defining the issue, identifying objectives, looking for ways to achieve objectives, identifying pertinent economic concepts, analyzing alternatives, and evaluating which…

A humorous approach to "mathematical applications" focuses on the activities of the housewife in doing domestic chores. Six "lessons" touch on the following topics: algebra, direct and indirect proportions, arithmetic progressions, trigonometry, and non-Euclidean geometry. (MP)

Four problems are given and discussed involving reflection about a line or the reflection properties of conic sections. Solutions are given. (MP)

Task-centered social work, like many other short-term treatment models, assumes that the degree of concentration on a problem is positively related to change. This study examines that assumption. (Author)

In this bibliographic essay, the author suggests commercial educational products (manipulative materials, activity cards, patterning materials, games, films and filmstrips) which can be used to promote divergent thinking in elementary and secondary mathematics instruction. Price, source, and grade level are listed for each item. (SJL)

A history of perfect numbers is presented, which briefly covers the 27 values known at this time. (MP)

A special report that guides organizers through the steps of cooperative planning--a process that is adaptable to a variety of situations ranging from diverse community activities to institutional reorganization. (Author/MLF)

Describes an experiment which used a computer simulation program to demonstrate that there are characteristic differences between experts and novices when they have to solve problems in complex situations. Tables of data and a list of six references are included. (LLS)

Parents, professors, and teachers collaborated on a Teacher Corps project that focused on school change. A participant observer recounts how group members' views, perceptions, and attitudes were modified over time. (Author/MLF)

Results of a study of 38 preschool children observed and videotaped during performance on a jigsaw-puzzle task indicate that puzzle solutions accompanied by a high rate of verbalizations were judged as more proficient, solved with a high rate of puzzle-solving moves, and completed in a shorter period of time. (Author/RH)

Summarizes an information-processing model of clinical reasoning and outlines some of its applications in medical education programs that use simulated cases to provide experience in blending clinical knowledge and problem-solving strategies. (Author/JD)

Investigates the asserted differences in reasoning between adults and second, fourth, and sixth graders in a manipulation of variables task using class inclusion and story problems with common everyday situations. Results are discussed in terms of sensible reasoning and problem-solving skills. (CM)