The emphasis on writing in the teaching of mathematics and science can empower teachers to reach all sectors of the pupil population. The use of ordinary language can help break the cultural barriers that have prevented minorities and women from achieving well in proportionate numbers in these fields. This volume focuses on pedagogical issues of…

Summarizes papers appearing in other journals: (1) "Assessing the Impact of Computer-Based Instruction"; (2) "Computers as Tutors: MENDEL as an Example"; (3) "Computers in the Education of Science Students: A Comparison of Universities and Colleges in Japan and the United States"; (4) "Differentiation and Integration in a CAI Format"; and (5)…

This article illustrates that mathematical theory can be incorporated into the process to solve differential equations by a computer algebra system, muMATH. After an introduction to functions of muMATH, several short programs for enhancing the capabilities of the system are discussed. Listed are six references. (YP)

Discussed is the process of translating situations involving changing quantities into mathematical relationships. This process, called dynamical modeling, allows students to learn new mathematics while sharpening their algebraic skills. A description of dynamical systems, problem-solving methods, a graphical analysis, and available classroom…

This study evaluated the effectiveness of the curriculum for a remedial mathematics program administered as an audio-tutorial self-paced class at Lake Michigan College. Twelve variables were selected for analysis, including pretest scores, mathematics skills test scores, final grades, time spent, age, gender, and attitude from 247 students…

When one encounters a problem that one has no adequate way of representing, a new mental model for the problem may have to be found. When a possible model is found, an important next step is to evaluate the validity of the model. In this document, examples of subjects finding and evaluating mental models used as problem representations are…

This document contains the course syllabus and 12 independent practice modules for a college pre-calculus course designed as the second course in a two-semester sequence for students in a Bachelor of Technology program. The course emphasizes applications from technology and verbal problems. Topics include trigonometric functions; identities;…

The implementation of the program used in this study, TPIXIE, was predicated on the assumption that acquiring the skill to diagnose student errors was important for teacher trainees. The TPIXIE system (part of the PIXIE family of intelligent tutoring systems) was designed to present users with a series of task-student-answer pairs (where the…

This is a narrative review of research in mathematics education reported during 1987. The purpose of this review is to extract from research reports ideas that may prove useful to school practitioners. Major sections are: (1) "Planning for Instruction" (relating historical developments, aides and grades, teaching approaches, problem…

This report describes a computer-based instructional system, the Story Problem Solver (SPS). SPS provides students with instruction about the semantic structure of story problems. It was developed to test a specific schema theory of knowledge organization in long-term memory. For this reason SPS depends explicitly upon a theory of the relationship…

Described is an activity that incorporates a computer, geometry, algebra, trigonometry, and calculus to answer questions about the planet Mars. A possible crescent of Mars is compared to those of Venus and Mercury. (KR)

Described is a computer algebra system that can be used to help students understand the calculus. Provides several examples of solving calculus problems using muMATH. Lists eight references. (YP)

Lists references of 16 research summaries, 152 articles, and 220 dissertations alphabetically by author within each category. Provides the grade or age level for each reference. A brief abstract is presented for most of the references. Journals searched and author index by content are included. (YP)

Suggests instructional modifications that utilize liberal arts students interests and strengths to stimulate their interest in mathematics. Suggestions recommend that teachers (1) relate mathematics to current critical issues; (2) make use of projects and open-ended problems; (3) utilize collaborative learning; and (4) provide opportunities for…

In college courses in statistics and computer programing, learning can be enhanced when students are required to express formulas and notations in writing. This approach helps improve concept formation, comprehension, problem solving, and ability to draw conclusions and interpretations. Attention to syntax and form is important. (MSE)