These conference proceedings include two invited lectures, four working group reports, five topic group reports, a list of participants, and a list of previous proceedings. The invited lectures were: "Teaching Mathematical Proof: Relevance and Complexity of a Social Approach" (Nicolas Balacheff) and "Geometry Is Alive and Well!" (Doris Schattschneider). The topics of the working group reports were: (1) using LOGO-based software (Benoit Cote, Sandy Dawson); (2) using the Computer Algebra Systems (Eric Muller, Stan Devitt); (3) aspects of communication and other functions of language used in mathmematics (David Pimm); and (4) using research methods of mathematical conceptions based on constructivism (Rafaella Borasi, Claude Janvier). The topic groups dealt with: computer uses in the elementary classroom (W. George Cathcart); constructions of fundamental mathematical concepts and the kindergartner's construction of natural numbers (Jacques Bergeron, Nicolas Herscovics); multicultural influences (Linda Davenport); meaning of grades assigned by teachers (Rose Traub et al.); and a discussion (not presented in this document) of the results of the 1988 International Assessment of Educational Progress Study (Dennis Raphael). Appended are lists of proceedings participants and of previous proceedings available through ERIC. (YP)