Students' understanding of three-dimensional rectangular arrays of cubes

Journal for Research in Mathematics Education

Volumn 27, Issue 3, 1996, Pages 258-292

  Battista, Michael T ^a   Clements, Douglas H ^b  

^a KENT STATE UNIVERSITY   (United States)

^b UNIVERSITY AT BUFFALO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344461147     PISSN: 00218251     EISSN: None     Source Type: Journal    
DOI: 10.2307/749365     Document Type: Article

References (14)

1. Battista, M. T. (1994). On Greeno's environmental/model view of conceptual domains: A spatial/geometric perspective. Journal for Research in Mathematics Education, 25, 86-94.
2. Ben-Chaim, D., Lappan, G., & Houang, R. T. (1985). Visualizing rectangular solids made of small cubes: Analyzing and effecting students' performance. Educational Studies in Mathematics, 16, 389-409.
3. Cobb, P., Wood, T., Yackel, E., Nicholls, J., Wheatley, G., Trigatti, B., & Perlwitz, M. (1991). Assessment of a problem-centered second-grade mathematics project. Journal for Research in Mathematics Education, 22, 3-29.
4. Cobb, P., Yackel, E., & Wood, T. (1992). A constructivist alternative to the representational view of mind in mathematics education. Journal for Research in Mathematics Education, 23, 2-33.
5. Cooper, L. A. (1990). Mental representation of three-dimensional objects in visual problem solving and recognition. Journal of Experimental Psychology: Learning, Memory, and Cognition, 16, 1097-1106.
6. Deregowski, J. B., & Bentley, A. M. (1987). Seeing the impossible and building the likely. British Journal of Psychology, 78, 91-97.
7. Hirstein, J. J. (1981). The second national assessment in mathematics: Area and volume. Mathematics Teacher, 74, 704-708.
8. Hobson, R. P. (1982). The question of childhood egocentrism: The co-ordination of perspectives in relation to operational thinking. Journal of Child Psychology and Psychiatry, 23, 43-60.
9. Johnson-Laird, P. N. (1983). Mental models: Towards a cognitive science of language, inference, and consciousness. Cambridge, MA.: Harvard University Press.
10. Mitchelmore, M. C. (1980). Prediction of developmental stages in the representation of regular space figures. Journal for Research in Mathematics Education, 11, 83-93.
11. Morss, J. R. (1987). The construction of perspectives: Piaget's alternative to spatial egocentrism. International Journal of Behavioral Development, 10, 263-279.
12. Piaget, J., & Inhelder, B. (1967). The child's conception of space. New York: W. W. Norton.
13. von Glasersfeld, E. (1982). Subitizing: The role of figurai patterns in the development of numerical concepts. Archives de Psychologie, 50, 191-218.
14. von Glasersfeld, E. (1991). Abstraction, re-presentation, and reflection: An interpretation of experience and Piaget's approach. In L. P. Steffe (Ed.), Epistemological foundations of mathematical experience (pp. 45-67). New York: Springer-Verlag.