Fifth graders' enumeration of cubes in 3D arrays: Conceptual progress in an inquiry-based classroom

Journal for Research in Mathematics Education

Volumn 30, Issue 4, 1999, Pages 417-448

  Battista, Michael T ^a  

^a KENT STATE UNIVERSITY   (United States)

Author keywords

Children's strategies; Collaborative learning; Constructivism; Geometry; Intermediate middle grades; Learning; Measurement; Visualization spatial reasoning

Indexed keywords

EID: 24944482849     PISSN: 00218251     EISSN: None     Source Type: Journal    
DOI: 10.2307/749708     Document Type: Article

References (10)

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2. Battista, M. T., & Clements, D. H. (1996). Students' understanding of three-dimensional rectangular arrays of cubes. Journal for Research in Mathematics Education, 27, 258-292.
3. Clements, D. H., & Battista, M. T. (1992). Geometry and spatial reasoning. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 420-464). New York: Macmillan.
4. Cobb, P., Boufi, A., McClain, K., & Whitenack, J. (1997). Reflective discourse and collective reflection. Journal for Research in Mathematics Education, 28, 258-277.
5. Cobb, P., & Yackel, E. (1995). Constructivist, emergent, and sociocultural perspectives in the context of developmental research. In D. T. Owens, M. K. Reed, & G. M. Millsaps (Eds.), Proceedings of the seventeenth annual meeting of the North American chapter of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 3-29). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
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7. Steffe, L. P. (1988). Children's construction of number sequences and multiplying schemes. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 119-140). Reston, VA: National Council of Teachers of Mathematics and Hillsdale, NJ: Erlbaum.
8. Steffe, L. P., & Cobb, P. (1988). Construction of arithmetical meanings and strategies. New York: Springer-Verlag.
9. von Glasersfeld, E. (1995). Radical constructivism: A way of knowing and learning. Washington, DC: Falmer Press.
10. 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.