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Linking Structures across Logic and Space: The Role of Euler Diagrams
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Joseph Antonides; Anderson Norton; Rachel Arnold – For the Learning of Mathematics, 2024
This theoretical article explores the affordances and challenges of Euler diagrams as tools for supporting undergraduate introduction-to-proof students to make sense of, and reason about, logical implications. To theoretically frame students' meaning making with Euler diagrams, we introduce the notion of logico-spatial linked structuring (or…
Descriptors: Mathematical Concepts, Visual Aids, Relationship, Schematic Studies
The Autonomy of Mental Models.
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Fischbein, Efraim; And Others – For the Learning of Mathematics, 1990
Described is research which sought to prove the hypothesis that mental models tend to preserve their autonomy with regard to the originals they are meant to represent. The results of this investigation involving 200 Israeli students are presented. (CW)
Descriptors: Cognitive Structures, Foreign Countries, Geometry, Learning Processes
Styles and Voices.
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Turkle, Sherry; Papert, Seymour – For the Learning of Mathematics, 1993
Case studies of elementary school and college students are used to examine the different styles of approach taken to computer programing. Introduces the term "bricoleur" to describe programers who do not take a structured approach to programing. Discusses gender differences among programers. (MDH)
Descriptors: Case Studies, Cognitive Style, College Students, Computers