This document opens with an editorial comment on two analogical models for mathematics education research. Analyses and abstracts of twelve research reports related to mathematics education follow. Four of the reports deal with aspects of learning theory, two with sex differences, and one each with achievement grouping, drill and practice,…

This collection of booklets deals with minumum standards in mathematics for beginning eleventh grade students. There is a statement of the standards with related skills, a test to assess competency with accompanying answer sheet and answer key, and eight booklets presenting problems covered by six of the standards. The booklets cover: percentages;…

This article describes the Mathematical Problem Solving Assessment-Short Form, an evaluation tool to assess various affective factors, cognitive and metacognitive factors, and strategies associated with mathematical problem solving of middle school students. The theoretical basis for the test is discussed and an actual student protocol is used to…

Presents two multiple-lesson activities that integrate science and mathematics. Lessons involve hands-on activities for grades 4-5 to develop the notion of average around building a racer; and accurately estimating and measuring crystal growth in grades 8-12. (MDH)

Presents 13 examples in which the intuitive approach to solve the problem is often misleading. Presents analysis of these problems for five different sources of misleading intuitive generators: lack of analysis, unbalanced perception, improper analogy, improper generalization, and misuse of symmetry. (MDH)

Describes a program to improve problem-solving skills of children by incorporating parents as partners in cooperative learning experiences with the children. Research results indicate that students working with parental partners displayed higher problem-solving ability on posttests than those not working with partners. (MDH)

In this study we investigated above-average high school calculus students from Japan and the United States in order to determine any differences in their conceptual understanding of calculus and their ability to use algebra to solve traditional calculus problems. We examined and interviewed 18 Calculus BC students in the United States and 26…

Problem solving in mathematics incorporates abstract thinking skills, number logic skills, and a nearly endless list of other factors. One problem-solving task required in university-level mathematics courses is integration. This study investigated instructor presentation of a specific problem-solving strategy and whether it impacted performance…

A project adapted an existing problem-solving curriculum to help unemployed or underemployed displaced homemakers and single parents qualify for job placement and training. Forty-five adult learners from the New Choice program participated. Handouts adapted from a prior Math Employment project and instructor-created materials were used. Handouts…

This paper discusses what metacognitive and cognitive actions elementary students make when they tackle mathematics problems. Findings are presented from the first 30 multimethod interviews conducted with Australian elementary mathematics students. Students used a set of specially designed metacognitive and cognitive action cards to stimulate…

Focusing on the question that is being discussed in a mathematics lesson is suggested as an approach to teaching developmental mathematics at the college level. Ways in which students can be involved with the question are described. First, some contagious cliches that are used by students are given. Then a few antidotal aphorisms and educational…

This pilot study examined the form or nature of the more highly organized knowledge structures used by successful problem solvers and whether there are experiences that would encourage their development. Previous related research and a theoretical framework are discussed. The small-group problem solving mode was used, with "A Problem with…

A series of simple games can be analyzed inductively to determine strategies. Students explore possibilities, hypothesize solutions, prove their solutions correct, and then generalize to more complex games. (SD)

Three worksheets provide exercises involving triangular arrays of numbers. (SD)

Indicates that to explore the relationship between the teaching of science and mathematics in the secondary school, it is necessary to examine the basic issues of the curriculum in some depth. Examines the justifications for the school curriculum and the distinguishing characteristics of physics and mathematics. (GS)