Reports on the progress of a project designed to establish both a research agenda for mathematics education and a conceptual framework for such an undertaking. Describes four conferences which have been organized to consider teaching problem solving, effective teaching, teaching and learning algebra, and middle school number concepts. (TW)

Considers the problem of how to go from three coordinates to two. States that it is not a problem that mathematics students ordinarily encounter. Presents four methods of graphing three-dimensional figures on a two-dimensional computer screen. (PK)

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…

Examined is the cultural impact--both actual and potential--of the computer on children's mathematical education. The ways in which the introduction of the computer does and will change the ambient space in which children learn mathematics is considered. (Author/PK)

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…

Describes a sequence of activities for experimenting with scaling and includes a method for revising any turtle graphic procedure so that it can be drawn to a variety of scales. (PK)

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)

The clinical interview can be a useful individualized assessment and remedial tool for students with difficulties in arithmetic. To use it effectively, the examiner must establish rapport with the student, discover his metacognitive strategies, and determine the student's optimum ability level. (JDD)

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)

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)