Spatial reasoning skills about 2D representations of 3D geometrical shapes in grades 4 to 9
| Autor: | Taro Fujita, Susumu Kunimune, Keith Jones, Yutaka Kondo, Hiroyuki Kumakura |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Computer science
General Mathematics media_common.quotation_subject Spatial ability 05 social sciences 050301 education Spatial intelligence 3d shapes Thinking skills Education Visualization Perception Mathematics education ComputingMilieux_COMPUTERSANDEDUCATION 0501 psychology and cognitive sciences 0503 education 050104 developmental & child psychology media_common Analytic reasoning |
| Popis: | Given the important role played by students’ spatial reasoning skills, in this paper we analyse how students use these skills to solve problems involving 2D representations of 3D geometrical shapes. Using data from in total 1357 grades 4 to 9 students, we examine how they visualise shapes in the given diagrams and make use of properties of shapes to reason. We found that using either spatial visualisation or property-based spatial analytic reasoning is not enough for the problems that required more than one step of reasoning, but also that these two skills have to be harmonised by domain-specific knowledge in order to overcome the perceptual appearance (or “look”) of the given diagram. We argue that more opportunities might be given to both primary and secondary school students in which they can exercise not only their spatial reasoning skills but also consolidate and use their existing domain-specific knowledge of geometry for productive reasoning in geometry. |
| Databáze: | OpenAIRE |
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