Math Wars: Taking Sides

Phi Delta Kappan

Volumn 85, Issue 3, 2003, Pages

  Marshall, John ^a  

^a UNIVERSITY OF SOUTH FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242659831     PISSN: 00317217     EISSN: None     Source Type: Journal    
DOI: 10.1177/003172170308500306     Document Type: Review

References (40)

1. Principles And Standards for School Mathematics (Reston, Va.: National Council of Teachers of Mathematics, 2000); Curriculum and Evaluation Standards for School Mathematics (Reston, Va.: NCTM, 1989).
2. Principles And Standards for School Mathematics (Reston, Va.: National Council of Teachers of Mathematics, 2000); Curriculum and Evaluation Standards for School Mathematics (Reston, Va.: NCTM, 1989).
3. Robert Reys, "Curricular Controversy in the Math Wars: A Battle Without Winners," Phi Delta Kappan, November 2001, pp. 255-58.
4. Wilfred H. Cockcroft, Your Child and Mathematics (Edinburgh: Chambers and Murray, 1968), p. 2.
5. John Marshall, comments to Minnesota Mathematics Framework Review Conference, St. Paul, 1997; see also 1997 Minnesota K-12 Mathematics Framework (St. Paul: Minnesota Department of Children, Families, and Learning, 1998), Number Sense, p. 6. Available on the Web at www.scimathmn.org/frameworks_math.htm.
6. John Marshall, comments to Minnesota Mathematics Framework Review Conference, St. Paul, 1997; see also 1997 Minnesota K-12 Mathematics Framework (St. Paul: Minnesota Department of Children, Families, and Learning, 1998), Number Sense, p. 6. Available on the Web at www.scimathmn.org/frameworks_math.htm.
7. Principles and Standards for School Mathematics, p. 29.
8. The Oxford English Dictionary defines "by rote" as "in a mechanical manner, by routine; especially by the mere exercise of memory without proper understanding of, or reflection upon, the matter in question."
9. Michael T. Battista, "The Mathematical Miseducation of America's Youth: Ignoring Research and Scientific Study in Education," Phi Delta Kappan, February 1999, p. 426. See also Michael T. Battista and Carol N. Larson, "The Role of JRME in Advancing Learning and Teaching of Elementary School Mathematics," Teaching Children Mathematics, November 1994, pp. 178-82; and Mary Montgomery Lindquist, Results from the Fourth Mathematical Assessment of the National Assessment of Educational Progress (Reston, Va.: National Council of Teachers of Mathematics, 1989).
10. Michael T. Battista, "The Mathematical Miseducation of America's Youth: Ignoring Research and Scientific Study in Education," Phi Delta Kappan, February 1999, p. 426. See also Michael T. Battista and Carol N. Larson, "The Role of JRME in Advancing Learning and Teaching of Elementary School Mathematics," Teaching Children Mathematics, November 1994, pp. 178-82; and Mary Montgomery Lindquist, Results from the Fourth Mathematical Assessment of the National Assessment of Educational Progress (Reston, Va.: National Council of Teachers of Mathematics, 1989).
11. Michael T. Battista, "The Mathematical Miseducation of America's Youth: Ignoring Research and Scientific Study in Education," Phi Delta Kappan, February 1999, p. 426. See also Michael T. Battista and Carol N. Larson, "The Role of JRME in Advancing Learning and Teaching of Elementary School Mathematics," Teaching Children Mathematics, November 1994, pp. 178-82; and Mary Montgomery Lindquist, Results from the Fourth Mathematical Assessment of the National Assessment of Educational Progress (Reston, Va.: National Council of Teachers of Mathematics, 1989).
12. James Hiebert, quoted in Reys, p. 258.
13. Michael A. Fletcher, "Students Found Lacking in Science," Washington Post, 21 November 2001.
14. Before It's Too Late: A Report to the Nation from the National Commission on Mathematics and Science Teaching for the 21st Century (Washington, D.C.: National Commission on Mathematics and Science Teaching for the 21st Century, 2000).
15. John Merrow, "American Elementary and Secondary School Students Are Tested Far More Than Their Counterparts in Other Industrial Nations," Education Life, special supplement, New York Times, 13 January 2002.
16. James W. Stigler, "Briefing for the National Commission on Mathematics and Science Teaching for the 21st Century," Washington, D.C., 23 September 1999, pp. 19, 23 of the transcript.
17. Liping Ma, Knowing and Teaching Elementary Mathematics (Mahwah, N.J.: Erlbaum, 1999), p. xix.
18. Paul R. Trafton, Barbara J. Reys, and Deanna G. Wasman, "Standards-Based Mathematics Curriculum Materials: A Phrase in Search of a Definition," Phi Delta Kappan, November 2001, pp. 259-64.
19. Walter W. Sawyer, Mathematician's Delight (Baltimore: Penguin Books, 1943), p. 8.
20. Principles and Standards for School Mathematics, pp. 5-6.
21. Ibid., p. 220.
22. Curriculum and Evaluation Standards for School Mathematics, p. 32.
23. Readers may care to note that, to be more precise, for the smaller box to be half the volume of the larger box, the length of the side would need to be √98 inches, i.e., 9.90 inches. The school text mentioned above had children deal with √99 - on a number line!
24. Ma, p. 22.
25. Principles and Standards for School Mathematics, pp. 140, 85.
26. Ibid., p. 153.
27. Ibid., p. 151.
28. Ibid., p. 142.
29. Ibid., p. 87.
30. World Class Baseball is produced by World* Class Learning Materials, Inc., 111 Kane Street, Baltimore, MD 21224.
31. Richard W. Copeland, How Children Learn Mathematics: Teaching Implications of Piaget's Research (New York: Macmillan, 1970), p. 32.
32. Principles and Standards for School Mathematics, p. 122.
33. Ibid., p. 6.
34. Trafton, Reys, and Wasman, p. 261.
35. Curriculum and Evaluation Standards for School Mathematics, p. 49.
36. Ibid., p. 30.
37. For "knowledge package," see Ma, pp. 76-78; and for "profound understanding of fundamental mathematics," see Ma, pp. 120-23.
38. For "knowledge package," see Ma, pp. 76-78; and for "profound understanding of fundamental mathematics," see Ma, pp. 120-23.
39. David Johnson and Julia Anghileri, "Arithmetic Operations on Whole Numbers: Multiplication and Division,'' in Thomas R. Post, ed., Teaching Mathematics in Grades K-8: Research Based Methods (Boston: Allyn and Bacon, 1988), p. 159.
40. Committee of Inquiry into the Teaching of Mathematics, Mathematics Counts (London: H.M.S.O., 1982), p. 70.