Designing Learning Environments for Developing Understanding of Geometry and Space

By Richard Lehrer; Daniel Chazan | Go to book overview

ACKNOWLEDGMENT

Support for this work was provided by grants MDR 8954664 and ESI 9050210 from the National Science Foundation. The opinions expressed, however, are those of the authors and do not necessarily reflect the views of that foundation.


REFERENCES

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.

Battista, M. T., & Berle-Carman, M. ( 1995). Containers and cubes. Palo Alto, CA: Dale Seymour.

Battista, M. T., & Clements, D. H. ( 1995a). Exploring solids and boxes. Palo Alto, CA: Dale Seymour.

Battista, M. T., & Clements, D. H. ( 1995b). Seeing solids and silhouettes. Palo Alto, CA: Dale Seymour.

Battista, M. T., & Clements, D. H. ( 1996). "Students' understanding of three-dimensional rectangular arrays of cubes". Journal for Research in Mathematics Education, 27( 3), 258-292.

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.

Cobb, P. ( 1988). The tension between theories of learning and instruction in mathematics education. Educational Psychologist, 23, 87-103.

Cobb, P., Yackel, E., & Wood, T. ( 1992). "A constructivist alternative to the representational view of the mind in mathematics education". Journal for Research in Mathematics Education, 23, 2-33.

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( 6), 1097-1106.

von E. Glasersfeld ( 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.

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