Shape Composition as a Progression of Spatial Reasoning Sophistication

• In Event: Developing and Studying Mathematics Understandings

Abstract

Spatial reasoning is an important aspect of mathematical reasoning development, as strong associations exist between spatial reasoning skills and mathematics achievement. To further understand how early spatial reasoning skills develop, we interviewed 16 kindergarten to second-grade students. We engaged in iterative open-coding of interview data to identify and classify evidence from student thinking that would inform a micro-progression within shape composition. Our findings indicate that there is increasingly correct de/composition with more sophisticated knowledge and skills, and that shape attributes and transformations are the most prevalent contributing factors for success on shape de/composition. We discuss the implications of the hypothesized progression for instruction aimed at supporting the development of spatial reasoning.

Authors

• Robyn K. Pinilla, University of Texas - El Paso

• Moraima Castro-Faix, Rutgers University

• Sarah Wellberg, University of Colorado - Boulder

• Leanne R. Ketterlin-Geller, Southern Methodist University