Middle Grades Students' Algebraic Understanding in a Reform Curriculum

School Science and Mathematics

Volumn 103, Issue 5, 2003, Pages 233-245

  Krebs, Angela S ^a  

^a UNIVERSITY OF MICHIGAN DEARBORN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84867373374     PISSN: 00366803     EISSN: 19498594     Source Type: Journal    
DOI: 10.1111/j.1949-8594.2003.tb18204.x     Document Type: Article

References (27)

1. Algebra Working Group. (1997). A framework for constructing a vision of algebra. National Council of Teachers of Mathematics: Reston, VA.
2. Balanced Assessment for the Mathematics Curriculum. (2000). Middle grades asessment package 2. White Plains, NY: Dale Seymour Publications.
3. Bishop, J. (2000). Linear geometric number patterns: Middle school students' strategies. Mathematics Education Research Journal, 12(2), 107–26.
4. Chambers, D. L. (1994). The right algebra for all. Educational Leadership, 51(6), 85–86.
5. Chazan, D. (1994). Algebra for all students? (NCRTL Craft Paper 94–2). East Lansing, MI: Michigan State University.
6. Dreyfus, T. (1991). Advanced mathematical thinking processes. In D. Tall (Ed.), Advanced mathematical thinking. (pp. 25–41). Boston, MA: Kluwer.
7. Fouche, K. (1997). Algebra for everyone: Start early. Mathematics Teaching in the Middle School, 2(4), 226–229.
8. Kaput, J. J. (1993). Long-term algebra reform: Democratizing access to big ideas. In C. A. Lacampagne, W. Blair, & J. J. Kaput (Eds.), The algebra colloquium. (Vol. 1, pp. 33–52). Washington, DC: U.S. Department of Education.
9. Kaput, J. J. (1995). A research base supporting long term algebra reform? In Proceedings of the 17th annual conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, (Vol. 1, pp. 71–94). Columbus, OH.
10. Lappan, G., Fey, J.T., Fitzgerald, W.M., Friel, S.N., & Phillips, E.D. (1995). The Connected Mathematics Project. Michigan State University. East Lansing, MI.
11. MacGregor, M., & Stacey, K. (1993). Seeing a pattern and writing a rule. In Proceedings of the 17th annual conference of the Psychology of Mathematics Education, (Vol. 1, pp. 181–188). Tsukuba, Japan.
12. MacGregor, M., & Stacey K. (1995). The effects of different approaches to algebra on students' perceptions of functional relationships. Mathematics Education Research Journal, 7 29–85.
13. Masingila, J. (1998). Thinking deeply about knowing mathematics, Mathematics Teacher, 91(7), 610–614.
14. Mason, J. (1996). Expressing generality and roots of algebra. In N. Bednarz, C. Kieran, & L. Lee (Eds.), Approaches to algebra: Perspectives for research and teaching (pp. 65–86). Boston, MA: Kluwer.
15. Moses, B. (1993). Algebra, the new civil right. In C. A. Lacampagne, W. Blair, & J. J. Kaput (Eds.), The algebra colloquium. (Vol. 2, p. 53–67). Washington, DC: U.S. Department of Education.
16. National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards. Reston, VA: Author.
17. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
18. National Research Council. (2001). Adding it up: Helping children learn mathematics. J. Kilpatrick, J. Swafford, & B. Findell (Eds). Mathematics Learning Subcommittee. Center for Education, Division of Behavioral and Social Sciences and Education. Washington DC: National Academy Press.
19. Olson, L. (1994). Algebra focus of trend to raise stakes. Education Week, 1, 11.
20. Pelavin, S., & Kane, M. (1988). Minority participation in higher education. Washington DC: U.S. Department of Education.
21. Phillips, E., & Lappan, G. (1998). Algebra: The first gate. In L. Leutzinger (Ed.), Mathematics in the middle (pp. 10–19). Reston, Virginia: National Council of Teachers of Mathematics.
22. Romberg, T. A. (1989). A reaction to “The science of patterns: A practical philosophy of mathematics education.” Paper presented at annual meeting American Educational Research Association, San Francisco, CA.
23. Silver, E. A. (1997). “Algebra for all”—increasing students' access to algebraic ideas, not just algebraic courses. Mathematics Teaching in the Middle School, 2(4), 204–207.
24. Steen, L. A. (1988). The science of patterns. Science, 240, 611–616.
25. Steen, L. A. (1992). Does everybody need to study algebra Mathematics Teacher, 85(4), 258–260.
26. Swafford, J. O., & Langrall, C. W. (2000). Grade 6 students' preinstructional use of equations to describe and represent problem situations. Journal for Research in Mathematics Education, 31, 89–112.
27. Wheeler, D. (1989). What should algebra be? Implications for research. Paper presented at the research presession at the 67th annual meeting of the National Council of Teachers of Mathematics.