Invented computational procedures of students in a standards-based curriculum

Journal of Mathematical Behavior

Volumn 18, Issue 2, 1999, Pages 111-121

  Carroll, William M ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033074787     PISSN: 07323123     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0732-3123(99)00024-3     Document Type: Article

References (18)

1. Bell, Max S., Balfanz, Robert, Carroll, William M., Hartfield, Robert, McBride, James, Sconiers, Sheila, & Saecker, Peter. (1993). Fourth Grade Everyday Mathematics: Field Test Version. Evanston, IL: Everyday Learning Corporation.
2. Bums, Marilyn. (1994). Arithmetic: The last holdout. Phi Delta Kappan, 75, 471-476.
3. Carroll, William M., & Porter, Denise. (1994). A Field Test of Fourth Grade Everyday Mathematics. Chicago: University of Chicago Mathematics Project.
4. Cobb, Paul, Yackel, Erma, & Wood, Terry. (1992). A constructivist alternative to the representational view of mind in mathematics education. Journal for Research in Mathematics Education, 23, 2-33.
5. Davis, Robert B. (1990). Discovery learning and constructive. In Robert B. Davis, Carolyn A. Maher, & Nel Noddings (Eds.), Constructivist Views on the Teaching and Learning of Mathematics, Monograph Number 4 (pp. 93-106). Reston, VA: National Council of Teachers of Mathematics.
6. Educational Testing Services. (1990). Assessment: Math Public Release, Grade 4. Princeton, NJ: Educational Testing Services.
7. Fennema, Elizabeth, Carpenter, Thomas P., Franke, Meghan L., Levi, Linda, Jacobs, Victoria R., & Empson, Susan B. (1996). A longitudinal study of learning to use children's thinking in mathematics instruction. Journal for Research in Mathematics Education, 27, 403-434.
8. Fraivillig, Judith L., Murphy, Lauren A., & Fuson, Karen C. (1999). Advancing children's mathematical thinking in everyday mathematics classrooms. Journal for Research in Mathematics Education, 30, 148-170.
9. Fuson, Karen C., Wearne, Diana, Hiebert, James C., Murray, Hanlie G., Human, Pieter G., Olivier, Alwyn I., Carpenter, Thomas P., & Fennema, Elizabeth. (1997). Children's conceptual structures for multidigit numbers and methods of multidigit addition and subtraction. Journal for Research in Mathematics Education, 28, 130-162.
10. Hope, John A., & Sherrill, James M. (1987). Characteristics of unskilled and skilled mental calculators. Journal for Research in Mathematics Education, 18, 98-111.
11. Kamii, Constance, Lewis, Barbara A., & Livingston, Sally J. (1993). Primary arithmetic: Children inventing their own procedures. Arithmetic Teacher, 41, 200-203.
12. Madell, Rob. (1985). Children's natural processes. Arithmetic Teacher, 32, 20-22.
13. National Council of Teachers of Mathematics. (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: The Council.
14. National Council of Teachers of Mathematics. (1991). Professional Standards for Teaching Mathematics. Reston, VA: The Author.
15. Reys, Barbara J., Reys, Robert E., & Hope, John A. (1993). Mental computation: A snapshot of second, fifth, and seventh grade student performance. School Science and Mathematics, 93, 306-315.
16. Shigematsu, Keiichi, Iwasaki, Hideki, & Koyama, Masataka. (1994). Mental computation: Evaluation, curriculum, and instructional issues from the Japanese perspective. In Robert E. Reys & Nobuhiko Nohda (Eds.), Computational Alternatives for the Twenty-first Century (pp. 19-30). Reston, VA: National Council of Teachers of Mathematics 1991.
17. Sowder, Judith. (1992). Estimation and number sense. In Douglas A. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning (pp. 371-389). New York: Macmillan Publishing Company.
18. Van Lehn, Kurt. (1986). Arithmetic procedures are induced from examples. In James Hiebert (Ed.), Conceptual and Procedural Knowledge: The Case of Mathematics (pp. 133-180). Hillsdale, NJ: Lawrence Erlbaum Associates.