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The Influence of 3D Representations on Students' Level of 3D Geometrical Thinking
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Kondo, Yutaka; Fujita, Taro; Kunimune, Susumu; Jones, Keith; Kumakura, Hiroyuki – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
While representations of 3D shapes are used in the teaching of geometry in lower secondary school, it is known that such representations can provide difficulties for students. In this paper, we report findings from a classroom experiment in which Grade 7 students (aged 12-13) tackled a problem in 3D geometry that was, for them, quite challenging.…
Descriptors: Geometric Concepts, Mathematics Instruction, Secondary School Mathematics, Grade 7
Visual Reasoning Tools in Action: Double Number Lines, Area Models, and Other Diagrams Power Up Students' Ability to Solve and Make Sense of Various Problems
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Watanabe, Tad – Mathematics Teaching in the Middle School, 2015
The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) identifies the strategic use of appropriate tools as one of the mathematical practices and emphasizes the use of pictures and diagrams as reasoning tools. Starting with the early elementary grades, CCSSM discusses students' solving of problems "by drawing." In later…
Descriptors: Foreign Countries, Mathematics Education, Secondary School Mathematics, Middle School Students