Presents a case study as a framework within which to discuss the concepts of function and their representations. (KHR)

Discusses a number of Theo van Doesburg's paintings concerning arithmetic composition. (KHR)

Proposes that recent shifts in the representation of knowledge to a focus on practices and activities have profound implications for students' learning of mathematics. Discusses relationships between knowledge, practice, and identity in the mathematics classroom. (Author/MM)

Considers what value there could be in talking of institutional trauma and connecting it to elements of the theory of trauma in a psychoanalytic setting. Seeks out the origin of these traumas in the successive crises that the mathematical knowledge of secondary teachers has had to confront over the course of history. (Contains 12 references.) (ASK)

Discusses some aspects of learning to read the process of the variation in congruence and relate it to the original geometry of the sphere since it touches on more general questions about how models are appropriated and used. Presents a learning episode that implemented projective models for both spherical and hyperbolic geometry in Object Logo.…

Contrasts classroom discourse in one particular class with existing work which suggests that inquiry mathematics is something introduced by teachers and often met by resistance by children. Highlights the difficulties of categorizing children according to 'mathematical ability'. (MM)

Describes the process of the generation of an International Commission on Mathematics Instruction (ICMI) report. Analyzes a particular volume, 'History in Mathematics Education', in detail. (MM)

Discusses reflections on a videotaped geometry lesson from a Japanese classroom. Contrasts the lesson with the work of a group of teachers on a B.Ed. program who were given the same problem-solving task as the Japanese pupils. (MM)

Describes a study which took place in a grade 9 classroom that consisted of five groups with 3-5 pupils in a group. Pupils were required to calculate the areas of a number of shapes on a geoboard. Concludes that a teacher working with pupils in small groups brings new challenges for mathematics teachers. (Contains 11 references.) (ASK)

Addresses the concept of mathematical definition as well as the definitions of different mathematics concepts. Focuses on the possibility of defining a mathematical concept in several ways based on logical relationships between different mathematical statements related to the concept. The choice of one of these statements as definitional plays a…

Illustrates the complexities of secondary mathematics teaching and learning in contemporary multilingual classrooms. Shows how and why the language of dilemmas provides a powerful explanatory and analytic tool as well as a source of praxis in mathematics education in a changing educational and political context. Contains 21 references. (ASK)

Presents the view that deductive mathematical proof offers the purest form of how to distinguish right from wrong. Investigates students' understandings of proof and the proving process in mathematics. Contains 32 references. (DDR)

Contributes to a reflection on the possibilities and the limits of a non-naive use of the history of mathematics for educational purposes. Discusses a problem related to the hypotheses that make it possible to confront past and modern conceptual developments. Contains 45 references. (DDR)

Considers how the domains of mathematics education and history of mathematics may interact in the process of mathematics teaching. Focuses on the teachers' role and explores the relationship between research in mathematics education and the history of mathematics. Contains 24 references. (DDR)

Speculates on whether our knowledge of a mathematical topic is really the same as the knowledge of the topic held by our mathematical ancestors centuries ago. Provides specific examples of using the cultural context of mathematics as an instructional strategy. (DDR)