Discusses the historical context of mathematics education research methodologies, describes methodological trends through the "Journal for Research in Mathematics Education" focusing on the domain of teacher knowledge and practice, and considers theoretical and methodological issues of the present and future. (25 references) (MKR)

This report, prepared for and published by the Mathematical Association of America's Committee on the Teaching of Undergraduate Mathematics, includes a description of the state of the art on problem solving, lists available resources, and makes recommendations regarding the place of problem solving in the college curriculum and ways to teach it.…