Advancing children's mathematical thinking in Everyday Mathematics classrooms

Journal for Research in Mathematics Education

Volumn 30, Issue 2, 1999, Pages 148-170

  Fraivillig, Judith L ^a   Murphy, Lauren A ^b   Fuson, Karen C ^b  

^a RIDER UNIVERSITY   (United States)

^b NORTHWESTERN UNIVERSITY   (United States)

Author keywords

Pedagogical knowledge; Professional development; Reform in mathematics education; Teaching (role, style, methods); Teaching effectiveness; Teaching practice

Indexed keywords

EID: 22444452269     PISSN: 00218251     EISSN: None     Source Type: Journal    
DOI: 10.2307/749608     Document Type: Article

References (31)

1. Bell, J., & Bell, M. (1995). First grade everyday mathematics: Teacher's manual and lesson guide (2nd ed.). Chicago: Everyday Learning Corporation.
2. Carpenter, T. P., Fennema, E., Peterson, P. L., & Carey, D. A. (1988). Teachers' pedagogical conlent knowledge of students' problem solving in elementary arithmetic. Journal for Research in Mathematics Education, 19, 385-401.
3. Carpenter, T. P., Fennema, E., Peterson, P. L., Chiang, C. -P., & Loef, M. (1989). Using knowledge of children's mathematics thinking in classroom teaching: An experimental study. American Educational Research Journal, 26, 499-531.
4. Cazden, C. B. (1988). Classroom discourse: The language of teaching and learning. Portsmouth, NH: Heinemann.
5. Cobb, P., Wood, T., Yackel, E., & McNeal, B. (1992). Characteristics of classroom mathematics traditions: An interactional analysis. American Educational Research Journal, 29, 573-604.
6. Cobb, P., Yackel, E., & Wood, T. (1989). Young children's emotional acts while engaged in mathematical problem solving. In D. B. McLeod & V. M. Adams (Eds.), Affect and mathematical problem solving: A new perspective (pp. 117-148). New York: Springer-Verlag.
7. Cobb, P., Yackel, E., & Wood, T. (1993). Learning mathematics: Multiple perspectives: Theoretical orientation. In T. Wood, P. Cobb, E. Yackel, & D. Dillon (Eds.), Rethinking elementary school mathematics: Insights and issues. Journal for Research in Mathematics Education Monograph Number 6 (pp. 21-32). Reston, VA: National Council of Teachers of Mathematics.
8. Confrey, J. (1995). How compatible are radical constructivism, sociocultural approaches, and social constructivism? In L. P. Steffe & J. Gale (Eds.), Constructivism in education (pp. 185-225). Hillsdale, NJ: Erlbaum.
9. Connelly, F. M., & Clandinin, D. J. (1990). Stories of experience and narrative inquiry. Educational Researcher, 19 (5), 2-14.
10. Diamond, A., & Fuson, K. C. (1997). Types of teacher questions in Everyday Mathematics classrooms. Manuscript in preparation.
11. Elliott, J. (1988). Educational research and outsider-insider relations. Qualitative Studies in Education, 1, 155-166.
12. Fraivillig, J. L. (1995, April). Advancing children's mathematical thinking: A case study of an expert teacher. Paper presented at the annual meeting of the American Educational Research Association, San Francisco.
13. Fraivillig, J. L. (1996). Case studies and instructional frameworks of expert reform mathematics teaching. Dissertation Abstracts International, 57, 2400A. (University Microfilms No. 9632689)
14. Fuson, K. C., Diamond, A., & Fraivillig, J. L. (1997). Implementation of reform norms in Everyday Mathematics classrooms. Manuscript in preparation.
15. Greeno, J. B. (1988). For the study of mathematics epistemology. In R. I. Charles & E. A. Silver (Eds.), A research agenda for mathematics education: The teaching and assessing of mathematical problem solving (pp. 23-31). Hillsdale, NJ: Erlbaum.
16. Helix Express (Version 2.0) [Computer software]. (1993). Prospect Heights, IL: Helix Technologies.
17. National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
18. National Council of Teachers of Mathematics. (1991). Professional standards for teaching mathematics. Reston, VA: Author.
19. Peterson, P. L., Carpenter, T. P., & Fennema, E. (1989). Teachers' knowledge of students' knowledge in mathematics problem solving: Correlational and case analyses. Journal of Educational Psychology, 81, 558-569.
20. Richardson, V. (1994). Conducting research on practice. Educational Researcher, 23(5), 5-10.
21. Schifter, D. (Ed.). (1996a). What's happening in math class? Volume 1: Envisioning new practices through teacher narratives. New York: Teachers College Press.
22. Schifter, D. (Ed.). (1996b). What's happening in math class? Volume 2: Reconstructing professional identities. New York: Teachers College Press.
23. Simon, M. A. (1995). Reconstructing mathematics pedagogy from a constructivist perspective. Journal for Research in Mathematics Education, 26, 114-145.
24. Stein, M. K., Grover, B. W., & Silver, E. A. (1991). Changing instructional practice: A conceptual framework for capturing the details. In R. G. Underhill (Ed.), Proceedings of the thirteenth annual meeting of the North American Chapter of the International Croup for the Psychology of Mathematics Education (Vol. 1, pp. 36-42). Blacksburg: Virginia Polytechnic Institute and State University.
25. Sternberg, R. I., & Horvath, J. A. (1995). A prototype view of expert teaching. Educational Researcher, 24(6), 9-17.
26. Stevenson, H. W., & Stigler, J. W. (1992). The learning gap: Why our schools are failing and what we can learn from Japanese and Chinese education. New York: Summit Books.
27. Stigler, J. W. (1997, March). Classroom mathematics instruction in Germany, Japan, and the United States: An introduction to the TIMSS videotape classroom study. Paper presented at the annual meeting of the American Educational Research Association, Chicago.
28. von Glasersfeld, E. (1987). Learning as a constructive activity. In C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 3-17). Hillsdale, NJ: Erlbaum.
29. Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes (M. Cole, V. John-Steiner, S. Scribner, & E. Souberman, Eds.). Cambridge, MA: Harvard University Press.
30. Yackel, E. (1995). Children's talk in inquiry mathematics classrooms. In P. Cobb & H. Bauersfeld (Eds.), The emergence of mathematical meaning: Interaction in classroom cultures (pp. 131-162). Hillsdale, NJ: Erlbaum.
31. Yackel, E., Cobb, P., & Wood, T. (1991). Small-group interactions as a source of learning opportunities in second-grade mathematics. Journal for Research in Mathematics Education, 22, 390-408.