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Visual Templates in Pattern Generalization Activity
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Rivera, F. D. – Educational Studies in Mathematics, 2010
In this research article, I present evidence of the existence of visual templates in pattern generalization activity. Such templates initially emerged from a 3-week design-driven classroom teaching experiment on pattern generalization involving linear figural patterns and were assessed for existence in a clinical interview that was conducted four…
Descriptors: Mathematical Concepts, Generalization, Interviews, Models
Prototypes, Metaphors, Metonymies and Imaginative Rationality in High School Mathematics.
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Presmeg, Norma C. – Educational Studies in Mathematics, 1992
Examples of high school case studies are used to illustrate prototypical mathematical images and the use of imagery in metaphoric and metonymic ways in mathematics. Discusses pattern imagery and other types of imagery as central components in a model of mathematical reasoning. (34 references) (MDH)
Descriptors: Abstract Reasoning, Case Studies, Cognitive Structures, Elementary Secondary Education