In this position paper, the recommendations contained in the National Council of Teachers of Mathematics' (NCTM) Curriculum Evaluation Standards for School Mathematics are reviewed with respect to the needs of diverse learners. Based on the history of previous education reforms and the nature of the ‘standards,’ the special educator is urged to exercise caution in using the standards as comprehensive criteria for developing and selecting programs for learners who are at risk for school failure. The need to transpose the standards into valid, replicable, instructional programs is stressed.
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References
1.
Ball, D. L. (1991). Research on teaching mathematics: Making subject-matter knowledge part of the equation. In J. Brophy (Ed.), Advances in research on teaching (Vol. 2, pp. 1–48). Greenwich, CT: JAI Press.
2.
Berliner, D. C. (1988). The half-full glass: A review of research on teaching. In E. L. Mayen, G. A. Vergason, & Richard J. Whelan (Eds.), Effective instructional strategies for exceptional children (pp. 7–31). Denver, CO: Love.
3.
Bishop, A. J. (1990). Mathematical power to the people. Harvard Educational Review, 60(3), 357–369.
4.
Brophy, J., (Ed.). (1991). Advances in research on teaching (Vol. 2, pp. 349–364). Greenwich, CT: JAI Press.
5.
Buchmann, M. (1986). Role over person: Morality and authenticity in teaching. Teachers' College Record, 87, 529–543.
6.
Carnine, D. (1992). Expanding the notion of teachers' rights: Access to tools that work. Journal of Applied Behavior Analysis: Monograph Number 7—The education crisis: Issues, perspectives, solutions (from Vol. 25, Nos. 1 and 2).
7.
Commission on Standards for School Mathematics of the National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics, Inc.
8.
Corno, L., & Snow, R. E. (1986). Adapting teaching to individual differences among learners. In M. E. Wittrock (Ed.), Handbook of research on teaching (3rd ed.605–629). New York: Macmillan.
9.
Cronbach, L. J., & Snow, R. E. (Eds.). (1977). Aptitudes and instructional methods. New York: Irvington/Naiburg.
10.
Darling-Hammond, L., & Snyder, J. (1992). Curriculum studies and the traditions of inquiry: The scientific tradition. In P. W. Jackson (Ed.), Handbook of research on curriculum (pp. 41–97). New York: Macmillan.
11.
Doyle, W. (1983). Academic work. Review of Educational Research, 53, 159–199.
12.
Glaser, R. (1979). Trends and research questions in psychological research on learning and schooling. Educational Researcher, 8, 6–13.
13.
Goodman, L. (1990). Time and learning in the special education classroom. Albany: State University of New York Press.
14.
Gould, S. J. (1981). The mismeasure of man. New York: W.W. Norton.
15.
Greeno, J. G. (1980). Trends in the theory of knowledge for problem solving. In D. T. Tuma & F. Reif (Eds.), Problem-solving and education: Issues in teaching and research (pp. 9–23). Hillsdale, NJ: Erlbaum.
16.
Hofmeister, A. M. (1989). Teaching problem-solving skills with technology. Educational Technology, 24(9), 26–29.
17.
Leinhardt, G., Putnam, R. T., Stein, M. K., & Baxter, J. (1991). Where subject knowledge matters. In J. Brophy (Ed.), Advances in research on teaching (Vol. 2, pp. 87–113). Greenwich, CT: JAI Press.
18.
Mann, L. (1979). On the trail of process. New York: Grune & Stratton.
19.
Norman, D. A. (1980). Cognitive engineering and education. In D. T. Tuma & F. Reif (Eds.), Problem solving and education: Issues in teaching and research (pp. 97–107). Hillsdale, NJ: Erlbaum.
20.
Resnick, L. B. (1987). Education and learning to think. Washington, DC: National Academy Press.
21.
Rosenshine, B., & Stevens, R. (1986). Teaching functions. In M. C. Wittrock (Ed.), Handbook of research on teaching (3rd ed.376–391). New York: Macmillan.
22.
Shulman, L. S. (1986). Paradigms and research programs in the study of teaching: A contemporary perspective. In M. C. Wittrock (Ed.), Handbook of research on teaching (3rd ed.4–36). New York: Macmillan.
23.
Simon, H. A. (1980). Problem solving and education. In D. T. Tuma & R. Reif (Eds.), Problem solving and education: Issues in teaching and research (pp. 81–96). Hillsdale, NJ: Erlbaum.
24.
Smith, D. C., & Neale, D. C. (1991). The construction of subject-matter knowledge in primary science teaching. In J. Brophy (Ed.), Advances in research on teaching (Vol. 2, pp. 187–243). Greenwich, CT: JAI Press.
25.
Smith, E. L., & Anderson, C. W. (1984). The planning and teaching intermediate science study (Final Report. Research Series No. 147). East Lansing: Michigan State University, Institute for Research on Teaching.
26.
Snow, R. E. [in collaboration with E. Yalow]. (1982). Education and intelligence. In R. J. Sternberg (Ed.), Handbook of human intelligence (pp. 493–586). London: Cambridge University Press.
27.
Snyder, J., Bolin, F., & Zumwalt, K. (1992). Curriculum implementation. In P. W. Jackson (Ed.), Handbook of research on curriculum (pp. 402–435). New York: Macmillan.
28.
Tetenbaum, T. J., & Mulkeen, T. A. (1984). LOGO and the teaching of problem solving: A call for a moratorium. Educational Technology, 24(11), 16–19.
29.
U.S. Department of Education. (1988). Making the case: Evidence of program effectiveness in schools and classrooms. Washington, DC: U.S. Department of Education.
