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Designing Learning Environments for Developing Understanding of Geometry and Space

By: Richard Lehrer; Daniel Chazan | Book details

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8
Development of Geometric and Measurement Ideas

Douglas H. Clements State University of New York at Buffalo

Michael T. Battista Kent State University

Julie Sarama Wayne State University

The separation of curriculum development, classroom teaching, and mathematics educational research from each other has vitiated each of these efforts. We are working on several related projects, the aim of which is to combine these efforts synergistically. The first1 is a large-scale curriculum development project that emphasizes meaningful mathematical problems and depth rather than exposure. Our responsibility (and goal) in this project is to develop the geometry and spatial-sense units in this curriculum based on existing research on children's learning of mathematics as well as our own classroom-based research on children's learning within the context of formative evaluations of the curriculum. The second project2 has the related goal of conducting research on children's learning of geometric and spatial concepts in computer and noncomputer environments.

The curriculum unit, discussed in this chapter, Turtle Paths ( Clements, Battista, Akers, Woolley, Meredith, & McMillen, 1995), engages third-grade students in a series of combined geometric and arithmetic investigations

____________________
1
Investigations in Number, Data, and Space: An Elementary Mathematics Curriculum, a co- operative project among the University of Buffalo, Kent State University, Technical Education Research Center, and Southeastern Massachusetts University (National Science Foundation grant no. ESI-9050210).
2
An Investigation of the Development of Elementary Children's Geometric Thinking in Computer and Noncomputer Environments ( National Science Foundation Research grant no. ESI 8954664).

-201-

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