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In this report we describe two students' reasoning about volume tasks involving right and oblique rectangular prisms in terms of a learning trajectory for volume. We also analyze their approaches to packing tasks in comparison with standard volume calculation tasks. We found that students struggled to integrate volume and packing tasks and packing tasks helped promote higher level reasoning in oblique prism tasks.
Theodore Rupnow, Illinois State University
Craig Cullen, Illinois State University
Jeffrey E. Barrett, Illinois State University
Pamela Beck, University of North Dakota