Describes a simple exploratory teaching model including exploration and codification phases. Reports the findings of a small-scale action-research project to implement and evaluate it. Concludes that there was no underachievement for the exploratory approach, and a strong association between student performances for routinized mathematical…

Discusses a way to help children retain the desire to understand mathematical ideas and to carry out routine procedures. Describes a method using computers to teach linear equations and calculus. Eight references are listed. (YP)

Discussed are the use of probability simulations in a mathematics classroom. Computer simulations using regular dice and special dice are described. Sample programs used to generate 100 rolls of a pair of dice in BASIC and Logo languages are provided. (YP)

Discusses two problem-solving activities combining the introduction of resistance from physical science with mathematical functions. Provides questions and answers related to the activities. (YP)

Describes a Saturday Academy containing three basic components (electrical engineering, computer science, and mathematics) designed to provide enrichment experiences for academically talented minority youth without cost to them. Discusses the results reported by parents, faculty, and alumni. (YP)

Provides two examples of the "regular falsi" method using geometry and a computer program. (YP)

Describes activities for grade levels 8 to 10 to improve students' understanding of the concepts of variable, expression, domain, and roots of an equation. Includes materials, objects, procedures, answers, and worksheets. (YP)

Describes basic problem-solving skills and presents a protocol of a student solving a problem. Discusses some of the difficulties in obtaining a correct solution. Lists basic prompts for problem solving. (YP)

Discussed is the meaning of the word "of" as is found in mathematical expressions that involve fractional numbers. The conceptual rather than numerical distinction is stressed. Teaching techniques regarding difficulties with this concept are suggested. (CW)

The consistency with which students apply procedural rules for solving signed-number operations across identical items presented in different orders was examined in a study involving 161 eighth graders. Inconsistent rule application was common among students who had not mastered signed-number arithmetic operations. (TJH)

Mathematics is perceived as a boring subject by some secondary students. Lists and describes 10 types of mathematical surprises across the secondary mathematics curriculum that help to make mathematics more interesting. (YP)

Describes five problems for a mathematical contest for secondary school students: poster competition, team contest, speed contest, swiss contest, and relay contest. Provides the instructions, a typical problem, and scoring criteria for each. (YP)

Describes the definition and characteristics of a regular polyhedron, tessellation, and pseudopolyhedra with diagrams. Discusses the nature of simplex, hypercube, and cross-polytope in the fourth dimension and beyond. (YP)

The degree to which test item bias techniques can lead to interpretable results when groups are defined in terms of specified differences in the cognitive processes involved in problem-solving strategies was studied. Data from two groups of junior high school students (N=545) were used. (TJH)

The effects of teaching strategy, relevant knowledge, and strategy length on high school students' mathematical learning ability were studied. Performance was found to increase as levels of relevant knowledge increased. Characterization strategies were found to be more effective than exemplification strategies for students with high relevant…