Instructional practices related to prospective elementary school teachers' motivation for fractions

Journal of Mathematics Teacher Education

Volumn 12, Issue 2, 2009, Pages 89-109

  Newton, Kristie Jones ^a  

^a TEMPLE UNIVERSITY   (United States)

Author keywords

Anxiety; Fractions; Instructional practices; Mathematics education; Motivation; Preservice teachers; Prospective teachers; Reform; Self concept

Indexed keywords

EID: 67349084638     PISSN: 13864416     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10857-009-9098-z     Document Type: Article

References (40)

1. Alexander, P. A. (1997). Mapping the multidimensional nature of domain learning: The interplay of cognitive, motivational, and strategic forces. In M. L. Maehr & P. R. Pintrich (Eds.), Advances in motivation and achievement (Vol. 10, pp. 213-250). Greenwich, CT: JAI Press.
2. Alexander, P. A., & Murphy, P. K. (1998). The research base for APA's learner-centered psychological principles. In N. M. Lambert & B. L. McCombs (Eds.), Issues in school reform: A sampler of psychological perspectives on learner-centered schools (pp. 25-60). Washington, DC: The American Psychological Association.
3. Alsup, J. (2005). A comparison of constructivist and traditional instruction in mathematics. Educational Research Quarterly, 28(4), 3-17.
4. Anderman, E. M., Eccles, J. S., Yoon, K. S., Roeser, R., Wigfield, A., & Blumenfeld, P. (2001). Learning to value mathematics and reading: Relations to mastery and performance-oriented instructional practices. Contemporary Educational Psychology, 26, 76-95.
5. Ball, D. (1990). The mathematical understandings that prospective teachers bring to teacher education. The Elementary School Journal, 90(4), 449-466.
6. Beckmann, S. (2005a). Activities manual to accompany mathematics for elementary teachers. Boston: Pearson Education.
7. Beckmann, S. (2005b). Mathematics for elementary teachers. Boston: Pearson Education.
8. Bruner, J. (1977). The process of education. Cambridge, MA: Harvard University Press (Original published in 1960).
9. Bulgar, S. (2003). Children's sense-making of division of fractions. Journal of Mathematical Behavior, 22, 319-334.
10. Case, R. (1988). Summary comments: Developing a research agenda for mathematics in the middle grades. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 265-270). Hillsdale, NJ: Erlbaum.
11. Chambliss, M., & Graeber, A. (2003, April). Does subject matter matter? In Paper presented at the annual meeting of the American Educational Research Association, Chicago, IL.
12. Conference Board of the Mathematical Sciences. (2001). The mathematical education of teachers: Vol. II. Issues in mathematics education. Providence, RI: American Mathematical Society.
13. Eccles, J., Wigfield, A., Midgley, C., Reuman, D., MacIver, D., & Feldlaufer, H. (1993). Negative effects of traditional middle schools on students' motivation. The Elementary School Journal, 93, 553-573.
14. Hembree, R. (1990). The nature, effects, and relief of mathematics anxiety. Journal for Research in Mathematics Education, 21(1), 33-46.
15. Hiebert, J., & Lefevre, P. (1986). Conceptual and procedural knowledge in mathematics: An introductory analysis. In J. Hiebert (Ed.), Conceptual and procedural knowledge: The case of mathematics (pp. 3-22). Hillsdale, NJ: Erlbaum.
16. Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.
17. Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers' understandings of fundamental mathematics in China and the United States. Mahwah, NJ: Erlbaum.
18. Mack, N. (1990). Learning fractions with understanding: Building on informal knowledge. Journal for Research in Mathematics Education, 21, 16-32.
19. Mack, N. (2000). Long-term effects of building on informal knowledge in a complex content domain: The case of multiplication of fractions. Journal of Mathematical Behavior, 19, 307-332.
20. Morris, A. (1995). Meaningful instruction in fractions: Implementing a theory in a low-achieving mathematics classroom. Focus on Learning Problems in Mathematics, 17, 16-40.
21. Newton, K. J. (2008). An extensive analysis of preservice elementary teachers' knowledge of fractions. American Educational Research Journal, 45(4), 1080-1110.
22. Olejnik, S., & Lee, J. (1990, April). Multiple comparison procedures when population variances differ. In Paper presented the annual meeting of the American Educational Research Association, Boston, MA.
23. Rasmussen, J. L. (1989). Analysis of likert-scale data: A reinterpretation of Gregoire and Driver. Psychological Bulletin, 105(1), 167-170.
24. Rittle-Johnson, B., Siegler, R., & Alibali, M. W. (2001). Developing conceptual understanding and procedural skill: An iterative process. Journal of Educational Psychology, 93(2), 345-362.
25. Seaman, C. E., & Szydlik, J. E. (2007). Mathematical sophistication among preservice elementary teachers. Journal of Mathematics Teacher Education, 10, 167-182.
26. Skemp, R. R. (1978). Relational understanding and instrumental understanding. Arithmetic Teacher, 26, 9-15.
27. Smith, J. P. (1995). Competent reasoning with rational numbers. Cognition and Instruction, 13, 3-50.
28. Stipek, D. (2002). Good instruction is motivating. In A. Wigfield & J. S. Eccles (Eds.), The development of achievement motivation (pp. 310-334). New York: Academic Press.
29. Suinn, R. M., Edie, C. A., Nicoletti, J., & Spinelli, P. R. (1972). The MARS, a measure of mathematical anxiety: Psychometric data. Journal of Clinical Psychology, 28, 373-375.
30. Swars, S. L., Daane, C. J., & Giesen, J. (2006). Mathematics anxiety and mathematics teacher efficacy: What is the relationship in elementary preservice teachers? School Science and Mathematics, 106(7), 306-315.
31. Tirosh, D. (2000). Enhancing prospective teachers' knowledge of children's conceptions: The case of division of fractions. Journal for Research in Mathematics Education, 31, 5-25.
32. Trice, A. D., & Ogden, E. D. (1986). Correlates of mathematics anxiety in first-year elementary school teachers. Educational Research Quarterly, 11(3), 2-4.
33. Turner, J. C., Meyer, D. K., Midgley, C., & Patrick, H. (2003). Teacher discourse and sixth graders' reported affect and achievement behaviors in two high-mastery/high performance mathematics classrooms. The Elementary School Journal, 103(4), 357-382.
34. Tzur, R. (2004). Teacher and students' joint production of a reversible fraction conception. Journal of Mathematical Behavior, 23, 93-114.
35. Usiskin, Z. P. (2007). The future of fractions. Arithmetic Teacher, 12(7), 366-369.
36. Valli, L., & Croninger, R. (2002). High quality teaching of foundational skills in mathematics and reading (#0115398). Washington, DC: National Science Foundation Interdisciplinary Educational Research Initiative.
37. Vinson, B. M. (2001). A comparison of preservice teachers' mathematics anxiety before and after a methods class emphasizing manipulatives. Early Childhood Education, 29(2), 89-94.
38. Widmer, C. C., & Chavez, A. (1982). Math anxiety and elementary school teachers. Education, 102, 272-276.
39. Wigfield, A., & Eccles, J. S. (2000). Expectancy-value theory of achievement motivation. Contemporary Educational Psychology, 25, 68-81.
40. Wigfield, A., & Meece, J. (1988). Math anxiety in elementary and secondary school students. Journal of Educational Psychology, 80(2), 210-216.