In this conference proceedings the overarching theme of research on teaching and learning mathematics in diverse settings and the subthemes of diversity, constructivism and algebra are achieved in the plenary papers. The plenary papers and authors include "Constructivist, Emergent, and Sociocultural Perspectives in the Context of Developmental Research" (Paul Cobb & Erna Yackel); "Fairness in Dealing: Diversity, Psychology, and Mathematics Education" (Suzanne K. Damarin); and "A Research Base Supporting Long Term Algebra Reform?" (James J. Kaput). Included in these Proceedings are 84 research reports, two discussion groups, 40 oral reports and 43 poster presentation entries. The one-page synopses of discussion groups, oral reports and poster presentations are organized by topic along with the research reports. Papers are grouped under the following subject headings: advanced mathematical thinking, algebraic thinking, assessment, cognitive modalities, curriculum reform, epistemology, functions and graphs, geometric thinking, language and mathematics, probability and statistics, problem solving, rational number concepts, research methods, social and cultural factors, student beliefs and attitudes, teacher beliefs and attitudes, teacher change, teacher conceptions of mathematics, teacher education, teacher understanding of student understanding, technology, visualization, and whole numbers. An alphabetical list of addresses of authors is included in the appendix in Volume 2 with page numbers of their report or synopsis. For the first time the electronic mail address is included in this address list. (MKR)