ABSTRACT

As part of our work in developing the geometry strand in the Investigations in Number, Data, and Space elementary mathematics curriculum project, we developed three-dimensional geometry instructional units for each of Grades 3, 4, and 5 (Battista & Berle-Carman, 1995; Battista & Clements, 1995a, 1995b). A major portion of these units focuses on exploring three-dimensional configurations of cubes, especially enumerating cubes in three-dimensional rectangular arrays. Concurrent with our curriculum development, we conducted a research program investigating students’ understanding of three-dimensional configurations of cubes (see Battista & Clements, 1996). This chapter gives an overview of both our research and our curriculum development efforts.