Analyzes two classroom episodes using a classroom mathematical practice together with students' diverse ways of contributing to its continual regeneration as the unit of analysis. Asserts that a classroom mathematical practice is composed of three interrelated types of norms: a normative purpose, normative standards of argumentation, and normative…

Describes a methodology for analyzing the collective learning of the classroom community in terms of the evolution of classroom mathematical practices. In developing the rationale for this approach, grounds the discussion in work of mathematics educators who conduct classroom-based design research. Frames sample analysis as a paradigm case in…

Challenged is the traditional model for the transmission of mathematics in the elementary school classroom. An inquiry approach to learning mathematics is proposed and supported with results of a year long research project that exposed second graders to mathematical learning experiences using this approach. (MDH)

Presents a constructivist view of mathematics, mathematics teaching, and mathematics achievement, and differentiates this view as an alternative to the typical traditional perspective of these terms. Discusses the roots of this approach in contemporary information-processing psychology. (TW)