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This report discusses the change in mathematics curriculum influenced by researchers, society, and the mathematics field. Many research results suggest that students should learn mathematics by experience. Students’ misconceptions may be formed because of the sudden shift from arithmetic to algebra. Up to the eighth grade, mathematical content has been heavily repeated. For more of the active doing of mathematics, four common activities (abstracting, inventing, proving, and applying) and four processes (generalizing, conjecturing, convincing, and specializing) are recommended. The curriculum standards developed by the National Council of Teachers of Mathematics, the curriculum framework developed by the National Academy of Sciences, some projects sponsored by the National Science Foundation, the University of Chicago School Mathematics Project, and other projects are described. Constraints against curricular change are listed and teacher collaboration is emphasized as accessary to obtain change in mathematics curriculum. Six schools selected as exemplary programs are introduced. Addresses of five mathematics curriculum projects and project directors involved in the Urban Mathematics Collaborative project are listed. (YP)