RUME 25
2023
Omaha, Nebraska
Students’ Enumerations of Tiles within a Rotation-Based Tiling of the Plane: Juxtaposing Units Coordination and Spatial Structuring Perspectives
Page: 385
This report contributes novel insights into how undergraduate students think and reason about the number of tiles within a given tiling of the plane. We juxtapose two theoretical perspectives— units coordination and spatial-temporal-enactive (or S*-) structuring—to provide an analytic account of how two undergraduate students reasoned about the tiling. In particular, this work suggests potential qualitative differences in how undergraduate students might engage in multiplicative reasoning in an unfamiliar spatial context.