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First-Graders' Spatial-Mathematical Reasoning about Plane and Solid Shapes and Their Representations
Peer reviewed
Direct linkHallowell, David A.; Okamoto, Yukari; Romo, Laura F.; La Joy, Jonna R. – ZDM: The International Journal on Mathematics Education, 2015
The primary goal of the study was to explore first-grade children's reasoning about plane and solid shapes across various kinds of geometric representations. Children were individually interviewed while completing a shape-matching task developed for this study. This task required children to compose and decompose geometric figures to identify…
Descriptors: Elementary School Mathematics, Elementary School Students, Grade 1, Thinking Skills
Bianchi, Ivana; Savardi, Ugo – Journal of Experimental Psychology: Human Perception and Performance, 2012
Research on naive physics and naive optics have shown that people hold surprising beliefs about everyday phenomena that are in contrast with what they see. In this article, we investigated what adults expect to be the field of view of a mirror from various viewpoints. The studies presented here confirm that humans have difficulty dealing with the…
Descriptors: Phenomenology, Misconceptions, Optics, Human Body
Anderson, Gail Marie – Mathematics Teacher, 2011
In this article, the author features "Flatland," by Edwin Abbott, a fantastic story about a square who lives in a two-dimensional world and who receives a visitor from the third dimension. Written in 1884 by a teacher-theologian who dabbled in mathematics, the novel is full of rich themes, including social class structure, the treatment of people…
Descriptors: Visualization, Spatial Ability, Geometric Concepts, Geometry
