ENDNOTES

1  

National Research Council, Mathematical Sciences Education Board, Board on Mathematical Sciences, and Committee on the Mathematical Sciences in the Year 2000, Everybody Counts: A Report to the Nation on the Future of Mathematics Education (Washington, D.C.: National Academy Press, 1989), 1.

2  

Ibid., 17-29.

3  

National Commission on Excellence in Education, A Nation at Risk: The Imperative for Educational Reform (Washington, D.C.: U.S. Government Printing Office, 1983); U.S. Department of Education, America 2000: An Education Strategy Sourcebook (Washington, D.C.: U.S. Government Printing Office, 1991); U.S. Department of Labor, Secretary's Commission on Achieving Necessary Skills, What Work Requires of Schools: A SCANS Report for America 2000 (Washington, D.C.: U.S. Department of Labor, 1991); James G. Glimm, ed., Mathematical Sciences, Technology, and Economic Competitiveness (Washington, D.C.: National Academy Press, 1991).

4  

National Council of Teachers of Mathematics, Curriculum and Evaluation Standards for School Mathematics (Reston, VA: Author, 1989); National Council of Teachers of Mathematics, Professional Standards for Teaching Mathematics (Reston, VA: Author, 199 I).

5  

Everybody Counts, 34; See also National Research Council, Committee on Resources for the Mathematical Sciences, Renewing U.S. Mathematics: Critical Resource for the Future (Washington, D.C.: National Academy Press, 1984).

6  

Everybody Counts, 32-33.

7  

Eliakim H. Moore, "On the Foundations of Mathematics," presidential address to the ninth annual meeting of the American Mathematical Society, Science, 13 March 1903.

8  

Mathematical Association of America, National Committee on Mathematical Requirements, The Reorganization of Mathematics in Secondary Education cited in National Council of Teachers of Mathematics, The Teaching of Secondary School Mathematics, NCTM Yearbook (Washington, D.C.: Author, 1970).

9  

College Entrance Examination Board, Commission on Mathematics, Program for College Preparatory Mathematics (New York, NY: Author, 1959).

10  

Curriculum and Evaluation Standards for School Mathematics, 5.

11  

National Research Council, Mathematical Sciences Education Board, Reshaping School Mathematics: A Philosophy and Framework for Curriculum (Washington, D.C.: National Academy Press, 1990), 10-11.

12  

Lynn Arthur Steen, "The Science of Patterns," Science, 29 April 1988, 611-616.

13  

Reshaping School Mathematics, 11.

14  

Thomas Hill, The True Order of Studies (New York, NY: G. P. Putman's Sons, 1876); See also Solberg E. Sigurdson, "The Development of the Idea of Unified Mathematics in the Secondary School Curriculum 1890-1930" (Ph.D. diss., University of Wisconsin, 1962).

15  

Two classroom-based research projects in mathematics have provided



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