Considered are concepts and skills appropriate for basic teacher preparation, and those that should be reserved for more advanced, specialized preparation. The cyclical continuum of teacher education and models of teacher development are discussed. (MNS)

The goals of the Research Council for Diagnostic and Prescriptive Mathematics (RCDPM) and the extent to which they are being realized are considered. Also discussed is the role of RCDPM in the broader mathematics education community, as well as some challenges and future directions. (MNS)

Presented are some concerns related to the diagnostic/prescriptive approach to teaching mathematics. The author supports the view that teachers need to become aware of reasons for making professional decisions and become reflective practitioners. (RH)

Many worthwhile mathematical activities can be generated by an overgeneralization. Some conjectures and their verification are described, with some exploration of historical procedures. (MNS)

A set of brief reflections about different aspects of mathematical errors and their roles in education is given. The nature and variety of errors and their positive use in learning mathematics are highlighted. (MNS)

Discusses three purposes of mathematics clinics, indicating that the resultant organizational structure of a particular clinic and the underlying values are intimately related to the identified purposes and that the precise character of a clinic is based on the relative emphasis ascribed to the different purposes. (JN)

Evidence on learning problems due to dyscalculia is surveyed. Definitions, factors responsible for dyscalculia, split-brain research and hemispheric roles, mathematics learning problems and personality, materials for instruction, and levels of knowing mathematics are among the topics discussed with an extensive list of references. (MNS)

A new potential for using microcomputers to help secondary school students learn mathematics through self-diagnosis and self-remediation is contrasted with current uses of computers for diagnosis and remediation. Research findings and software are cited in the discussion. (MNS)

Using computers to provide diagnosis and remediation in mathematics is emphasized. Some essential features of technology-supported learning environments are discussed, as well as features that facilitate their use. Illustrated is a computer environment for learning algebra. (MNS)

Four different conceptions of error-making from a pedagogical perspective are developed. Using errors as springboards for learning is advocated, so that better understanding of content and of the nature of mathematics results. (MNS)

This is a report of an application of the interpretation of errors and springboards in a real-life situation. If and why we need to reduce fractions is considered. (MNS)

A common mistake in adding fractions involves the confusion betwen the concepts of fraction and ratio. A coherent system to operate with ratios is developed. (MNS)

Several intuitive proofs for evaluating specific infinite expressions are given. Observations on intuition and errors in mathematics are included. (MNS)

An overview is provided of the curriculum and instructional practices in general and for handicapped learners. Diagnostic teaching and other features of good instruction are reviewed. (MNS)

The work of Ladislav Kosc on dyscalculia is presented. His work on meanings, forms, terminology, diagnosis, correction principles, factors in mathematical ability, language dysfunctions, and publications are each included. (MNS)