What is meant by meaningful instruction is discussed in terms of interest and relevance, pseudo-real problems, unconscious reinforcement, stories for symbols, and mathematical mirrors. That mathematics must be talked about with and by children is emphasized. (MNS)

Results from the third national mathematics assessment are presented. Overall, the performance of nine year olds changed little since the second assessment, while significant gains were made by 13 year olds. Data on whole numbers, fractions and decimals, other basic concepts, and problem solving are discussed. (MNS)

Using data and analyses gathered from multiple sources, this article discusses how students learn in reading, writing, and mathematics. A section on reading concentrates on methods and materials that motivate, a writing section concentrates on content, and a mathematics section discusses procedures for problem solving. A bibliography is included.…

A brief review of research is given, with points on characteristics of effective teachers. (MNS)

Study of circular transformation and its associated properties is proposed as review and reinforcement of familiar concepts and for developing broader understanding of transformations. Inversion on a circle is discussed in some detail. (MNS)

Assessment test data from 1976-79 on California children in grade six were analyzed. Loglinear models were used to evaluate the consistency of response of each sex. A significant interaction between sex and choice of distractor occurred for a large majority of the items. (MNS)

Describes LOGO, an educational computing language designed at the Massachusetts Institute of Technology for use by young children in developing problem-solving skills. The structure of LOGO, the drawing operations possible using the LOGO "Turtle," LOGO as a learning environment, and the educational philosophy underlying LOGO are…

Findings on ratio and on fractions from a research project on strategies and errors in secondary mathematics are discussed, with typical errors described. Pupils seemed to learn rules without understanding. (MNS)

Properties of the harmonic number triangle are listed, and ways of generating the elements of harmonic triangles are described. (MNS)

This manipulative learning aid is featured as a tool that allows a teacher to build upon the recognition of number patterns to teach basic mathematical understanding. The activities provide a means to help children refine, develop, and extend their understanding of the number system. (MP)

Described is a two-week summer institute with 57 Ohio teachers in grades K-12. The teachers were given experiences in problem solving to help them broaden perceptions of real problem solving. Sixteen problem-solving strategies and four illustrative problems are included, and teachers' evaluative comments are discussed. (MNS)

Current practices in teaching about distributivity of multiplication over addition and subtraction are reviewed. Then a study is described in which two inventories were administered to 83 eighth-grade students; scores were low. Suggestions for teaching distributivity are presented. (MNS)

Several major factors must be considered when developing or assessing tutorial microcomputer software for mathematics instruction. Both learning considerations and curriculum considerations are discussed in some detail. (MNS)

An approach to problem solving is described that is based on analysis of how fast model race cars can go. The exercises were used to replace standard time/rate/distance exercises, and were found to be greatly enjoyed by both girls and boys. (MP)

This bibliography lists publications for students aged 11 to 16. The documents are collected under: (1) Mathematics; (2) Mathematics and Science; (3) Mathematics and Biology; (4) Mathematics and Chemistry; (5) Mathematics and Physics; and (6) Electronic Calculators. Each section separately lists books, journal articles, and some unpublished…