Discusses various representations of a curve and the relationships between them. Describes mathematical exercises which use Logo to derive a turtle procedure for graphically representing a cycloid. Provides a proof of the trigonometric series formula to show equality. (RT)

This paper is concerned with the issues surrounding the mathematical education of traditionally oriented Aboriginal children. A wide-ranging review of the relevant literature is presented and discussed with a view to developing more effective educational procedures. The discussion is intended to be relevant to other culture-conflict educational…

This discussion paper stresses the validity and usefulness of a full range of assessment practices as an integral part of the learning and teaching of mathematics. (PK)

The constructivist perspective, which holds that children's learning of subject matter is an interaction between what they are taught and what they bring to a learning situation, could be used to improve mathematics teacher education. (PK)

Advances the idea that performance errors should contribute positively to the process of learning. Argues that errors do not occur randomly and that instructional theory should not condemn errors, but seek them. (PK)

Presents the major findings identified by a commission that examined research issues in diagnostic and prescriptive mathematics. Addresses the diagnostic process with regard to curriculum, instruction, learners, teacher education, clinics, and the mathematics education community. (TW)

A comparison of the performance of two groups of third grade students practicing division problems is used to assess the effect of a commercial computer-assisted instruction drill program on learning. The progress of the experimental group (using computers) is compared with that of a group using conventional print drill practice. (20 references)…

Describes the Approaching Algebra Numerically (AAN) Calculator as a computer-based simulation of a hand-held calculator designed with novice learners in mind. Includes a complete description of the calculator and suggests uses for the calculator, including exponentiation, order of operations, scientific notation, concept of variable, and problem…

Summarizes the results of a symposium of the National Research Council on the state of research knowledge on teacher quality. Identifies four areas where additional research is needed. (TW)

Proposes that teachers should examine the elements of mathematical understandings that precede conservation and one-to-one correspondence and tailor classroom instruction to benefit both conserving and nonconserving students. (PK)

Describes a model for adapting the construction of teacher-made mathematics tests for mildly handicapped students including the educable mentally retarded, the emotionally handicapped, and the learning disabled, to the mainstreamed classroom. (PK)

Includes patterns for and a brief discussion of the polyhedra: octahedron, tetrahedron, dodecahedron, cuboid, prism, and star. (PK)

Discusses whether or not the teaching of mathematics in schools makes assumptions about culture. (PK)

Two alternative representations for the concept of common multiples are presented. These representations can be modeled on or off the computer. (PK)

Describes a study which examined the combined effects of student participation and of more realistic levels of vagueness terms (incertainty and bluffing terms) on student achievement and attitudes. One conclusion based on sixth-grade students (N=96) responses suggests that relatively low levels of teacher uncertainty and bluffing can influence…