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A qualifying paper submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Math, Science, Technology, and Engineering Education. Abstract: This paper describes an exploratory study of how a fourth grade class investigated the relationships among perimeter, area, surface area, and volume of rectangular shapes. The five-session intervention involved 11 boys and ... read more8 girls in a suburban public school. The students working independently and in partnerships were given particular tools (e.g., measuring strings, grid mats, rectangular prisms, pre-cut rectangular shapes, one-inch plastic tiles, and Klick-like puzzles) to complete measurement tasks. The students demonstrated their understanding of the 2-D and 3-D attributes in pretests and posttests, discussions, reflections, prediction tasks, constructions of 2-D and 3-D rectangular shapes and arrays, and posters. The quantitative results indicate increased student performance and understanding, particularly for area, surface area, volume, and appropriate units of spatial measure. Qualitative findings suggest that the interaction of planned partnerships, the materials students used, and the tasks, activities, and reflections they completed, produced positive results.read less
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