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)

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)

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)

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)

Research is reviewed in four categories: teachers' beliefs about mathematics, mathematics learning, and mathematics teaching, and some other important teacher beliefs. Reflections are also included. (MNS)

How computers have affected diagnosis in mathematics is discussed. A distinction is made between errors and mistakes, followed by consideration of computers as a diagnostic tool. The development of algorithms to diagnose errors and of models of student performance is described. (MNS)

This study sought to evaluate a measure of dyscalculia to determine its validity and reliability. It also tested use of the instrument with seventh graders and ascertained where errors attributed to dyscalculia were also present in an average sample of seventh graders. Results varied. (MNS)

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)

Describes the four competencies which are argued to be necessary for being an effective remedial mathematics teacher. Describes a training model which has been developed for preservice and inservice teachers based on these competencies. (PK)

Provides ethnographic information about preservice teachers and their formative relationships to diagnostic teaching and letter writing within the school mathematics curriculum. Also, indicates that elementary school students benefit from letter writing as it relates to mathematics attitudes and achievement levels. (nine references) (JJK)

Diagnostic/prescriptive mathematics was examined to ask whether a sufficient body of professional knowledge and practices exist to warrant its inclusion in teacher preparation. Argues that diagnostic/prescriptive mathematics does constitute an appropriate topic for consideration as content in revised teacher preparation programs. (PK)