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

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)

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 Each section separately lists books, journal articles, and some unpublished…

Several mathematical problems designed to provide motivation for the application of mathematics to practical situations in sports and industry are presented. (MP)

The three-parameter logistic model has been used for identifying test items that may be biased. An approach is presented here that is applicable even when one of the subgroups is relatively small. Interactions between item content and group membership, commonly called item bias, may be conceptualized as multidimensionality. (Author/BW)

Attitudinal and attributional variables relating to the election of mathematics courses by females and males are identified. A small set of variables explaining the variance in female and male mathematical plans was found. These results may help in understanding why larger proportions of males than females elect mathematics. (Author/GK)

Mathematics is a language -- a way of describing, recording in mathematical sentences, and interpreting the symbols used to denote relationships. It is also an activity involving a way of thinking and a means of using relationships to solve problems. Opportunities must be provided for these activities in mathematics teaching. (Author/JN)

The relationship between interaction and achievement in cooperative small groups was studied in four junior high school mathematics classrooms. The interaction variable that related most strongly to achievement was asking a question and receiving no response; this type of interaction was negatively related to achievement. (Author/BW)

It is noted that too many students who go to college today are poorly prepared for college mathematics. It is believed that any student who goes to college without a minimum of two years of algebra and one of geometry will be at a serious, possibly insurmountable, disadvantage. (MP)

The goal is to make some suggestions that may be useful to teachers in meeting the mathematics needs of the noncollege-bound student. It is felt teachers can motivate pupils with problems that are relevant and practical. Further, teachers need to approach mathematics from a realistic point of view. (MP)

The results of a survey to determine links between mathematics and science departments in schools in Great Britain are reported. (MP)

Followed students through high school to see what factors in the ninth grade predicted their continuation in theoretical mathematics courses. Test results indicated for girls, the standardized weights were highest for spatial visualization, vocabulary, usefulness and confidence; for boys, confidence, achievement, stereotyping math as a male…

Noting the trend from traditional teacher-centered instruction to individualized, mixed ability teaching, the author suggests that the new methods require more work from teachers and that they need additional released time and assistance to cope. (SJL)