Effects of standards-based mathematics education: A study of the Core-Plus Mathematics Project algebra and functions strand

Journal for Research in Mathematics Education

Volumn 31, Issue 3, 2000, Pages 328-361

  Huntley, Mary Ann ^a   Rasmussen, Chris L ^b   Villarubi, Roberto S ^c   Sangtong, Jaruwan ^c   Fey, James T ^c  

^a West Ed   (United States)

^b PURDUE UNIVERSITY CALUMET   (United States)

^c UNIVERSITY OF MARYLAND   (United States)

Author keywords

Algebra; Conceptual knowledge; Functions; Modeling; Program project assessment; Reform in mathematics education; Representations

Indexed keywords

EID: 23044519525     PISSN: 00218251     EISSN: None     Source Type: Journal    
DOI: 10.2307/749810     Document Type: Article

References (32)

1. Addington, S., & Roitman, J. (1996). Who is Dick Askey and why is he so upset about the Standards? Mathematics Teacher, 89, 626-627.
2. Anderson, J. R., Reder, L. M., & Simon, H. A. (1996). Situated learning and education. Educational Researcher, 25(4), 5-11.
3. Bednarz, N., Kieran, C., & Lee, L. (Eds.). (1996). Approaches to algebra: Perspectives for research and teaching. Dordrecht, The Netherlands: Kluwer.
4. Begle, E. G. (1979). Critical variables in mathematics education: Findings from a survey of the empirical literature. Washington, DC: Mathematical Association of America.
5. Cohen, D. (Ed.). (1995). Crossroads in mathematics: Standards for introductory college mathematics before calculus. Memphis, TN: American Mathematical Association of Two-Year Colleges.
6. Davis, R. B. (1993, March). What algebra do students need to learn and how should they learn it? Paper prepared for the National Council of Teachers of Mathematics Research Presession, Seattle, WA.
7. Fey, J. T. (1989). Technology and mathematics education: A survey of recent developments and important problems. Educational Studies in Mathematics, 20, 237-272.
8. Garner, B. E. (1998). Retention of concepts and skills in traditional and reformed applied calculus (Doctoral dissertation, University of Maryland, 1998). Dissertation Abstracts International, 59, 1955A.
9. Gordon, S. P., Gordon, F. S., Fusaro, B. A., Siegel, M. J., & Tucker, A. C. (1995). Functioning in the real world: A precalculus experience (Preliminary ed.). Reading, MA: Addison-Wesley.
10. Gregg, J. (1995). The tensions and contradictions of the school mathematics tradition. Journal for Research in Mathematics Education, 26, 442-466.
11. Haimes, D. H. (1996). The implementation of a "function" approach to introductory algebra: A case study of teacher cognitions, teacher actions, and the intended curriculum. Journal for Research in Mathematics Education, 27, 582-602.
12. Hiebert, J. (Ed.). (1986). Conceptual and procedural knowledge: The case of mathematics. Hillsdale, NJ: Erlbaum.
13. Hiebert, J., & Carpenter, T. P. (1992). Learning and teaching with understanding. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 65-97). New York: Macmillan.
14. Hirsch, C. R., Coxford, A. F., Fey, J. T., & Schoen, H. L. (1995). Teaching sensible mathematics in sense-making ways with the CPMP. Mathematics Teacher, 88, 694-700.
15. Kaput, J. J. (1993). The urgent need for proleptic research in the representation of quantitative relationships. In T. A. Romberg, E. Fennema, & T. P. Carpenter (Eds.), Integrating research on the graphical representation of functions (pp. 279-312). Hillsdale, NJ: Erlbaum.
16. Kaput, J. J. (1997). Teaching and learning a new K-12 algebra with understanding. Unpublished manuscript.
17. Katz, V. J. (1997). Algebra and its teaching: An historical survey. Journal of Mathematical Behavior, 16, 25-38.
18. Kieran, C. (1992). The learning and teaching of school algebra. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 390-419). New York: Macmillan.
19. McKnight, C. C., Crosswhite, F. J., Dossey, J. A., Kifer, E., Swafford, J. O., Travers, K. J., & Cooney, T. J. (1987). The underachieving curriculum: Assessing U.S. school mathematics from an international perspective. Champaign, IL: Stipes.
20. National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
21. National Council of Teachers of Mathematics. (1991). Professional standards for teaching mathematics. Reston, VA: Author.
22. National Council of Teachers of Mathematics. (1995a). Algebra in the K-12 curriculum: Dilemmas and possibilities. Reston, VA: Author.
23. National Council of Teachers of Mathematics. (1995b). Assessment standards for school mathematics. Reston, VA: Author.
24. National Research Council. (1989). Everybody counts: A report to the nation on the future of mathematics education. Washington, DC: National Academy Press.
25. O'Callaghan, B. R. (1998). Computer-intensive algebra and students' conceptual knowledge of functions. Journal for Research in Mathematics Education, 29, 21-40.
26. Putnam, R. T., Lampert, M., & Peterson, P. L. (1990). Alternative perspectives on knowing mathematics in elementary schools. In C. B. Cazden (Ed.), Review of research in education (Vol. 16, pp. 57-150). Washington, DC: American Educational Research Association.
27. Schmidt, W. H., McKnight, C. C., & Raizen, S. A. (1997). A splintered vision: An investigation of U.S. science and mathematics education. Boston: Kluwer.
28. Schoen, H. L., & Ziebarth, S. (1998). Mathematical achievement on standardized tests: A Core-Plus Mathematics Project field test progress report. Unpublished manuscript.
29. Sowder, J. (1998). What are the "math wars" in California all about? Reasons and perspectives. Unpublished manuscript.
30. Thompson, A. G., Philipp, R. A., Thompson, P. W., & Boyd, B. A. (1994). Calculational and conceptual orientations in teaching mathematics. In D. B. Aichele (Ed.), Professional development for teachers of mathematics. 1994 Yearbook of the National Council of Teachers of Mathematics (pp. 79-92). Reston, VA: National Council of Teachers of Mathematics.
31. Thompson, P. W. (1994). Students, functions, and the undergraduate curriculum. In E. Dubinsky, A. H. Schoenfeld, & J. Kaput (Eds.), Issues in mathematics education: Vol. 4. Research in collegiate mathematics education. I (pp. 21-44). Providence, RI: American Mathematical Society and Washington, DC: Mathematical Association of America.
32. van Reeuwijk, M. (1995). Students' knowledge of algebra. In L. Meira & D. Carraher (Eds.), Proceedings of the 19th international conference for the Psychology of Mathematics Education (Vol. 1, pp. 135-150). Recife, Brazil: Program Committee of the 19th PME Conference.