The Mathematics Talent Development Project offers accelerated mathematics to students aged 10-14, on Saturdays at the University of Wisconsin-Eau Claire. Four years of high-school mathematics are covered in two years, including algebra, geometry, trigonometry, and statistics. Described are student selection, importance of homework, and teacher…

Reports on diagnostic testing of eighth grade students' performance using two different methods. Concludes that the computer version was significantly more difficult than the other. Suggests that students may perform mathematics differently due to the characteristics of the mediums used. (RT)

Confronts a widespread prejudice about mathematical knowledge, that mathematics is "culture-free," by demonstrating alternative constructions of Euclidean geometrical ideas developed from the culture of Mozambique. As well as establishing the educational power of these constructions, the article illustrates the methodology of…

Investigates the arithmetic curiosity that when any integer is raised to the fifth power, the digits unit of the result is always the same as the digits unit of the original number. Explores results in number bases other than 10 via the computer. (PK)

Both industrialized and Third World countries see the need to "multi-culturalize" their mathematics curricula. Following a brief description of the drawing tradition of the Tchokwe people (Angola), some possible uses of their pictograms in the mathematics classroom are suggested. Examples given in this paper include the study of arithmetical…

Student talk about mathematics will improve understanding. Ways that teachers can facilitate more student talk in their classrooms are presented. (PK)

Begins with the assumption that by practicing something one often learns something else. A discussion is presented on the historical and social development of knowledge, the cognitive development of students, the role of teachers, and the meaning of learning situations. (PK)

Mandler's theory of emotion is suggested as a framework for investigating affective issues in problem solving. Several dimensions of the emotional states of problem solvers are specified. Implications of this framework for research on affective issues in problem solving are also discussed. (PK)

Suggests that secondary school students seem to have reasonably good procedural knowledge in areas of mathematics as rational numbers, probability, measurement, and data organization and interpretation. It appears, however, that students are lacking the conceptual knowledge enabling them to successfully do the assessment items on applications,…

Describes the work of the Mathematics Assessment Project to produce a bank of test items for specified syllabi. The bank includes both written items and practical or performance items. (PK)

Sets forth the history of the Fibonacci Sequence and details its occurrence in nature and its potential for project work in schools. Ideas and activities include the rabbit problem, investigations of the sequence itself, its relationship to plants, music, snail shells, and the golden section. Computer generation of spirals is also discussed. (PK)

Takes issue with those who advocate the use of calculators in mathematics education. Rebutts four specific ideas relative to the use of calculators in school mathematics and argues that calculators may not be appropriate in teaching mathematics. (PK)

Describes three pieces of practical work (hands-on activities) which have been successful in Scottish secondary schools. Activities involve geotiles, working with percentages, and activities for higher mathematics. (PK)

The Japanese high school entrance examinations were examined in detail for social studies, mathematics, and science test items. Most items measured knowledge and comprehension rather than synthesis, analysis, or scientific thinking. Implications for middle school instruction were discussed. (GDC)

Summarizes current state of knowledge about the impact of computer-based education (CBE) including meta-analysis of elementary, secondary, and postsecondary data. Topics include achievement, aptitude, attitude, retention, and time. Outlines directions for future CBE research. (JM)