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New Light on Old Horizon: Constructing Mathematical Concepts, Underlying Abstraction Processes, and Sense Making Strategies
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Scheiner, Thorsten – Educational Studies in Mathematics, 2016
The initial assumption of this article is that there is an overemphasis on abstraction-from-actions theoretical approaches in research on knowing and learning mathematics. This article uses a critical reflection on research on students' ways of constructing mathematical concepts to distinguish between abstraction-from-actions theoretical…
Descriptors: Mathematical Concepts, Learning Processes, Mathematics Skills, Abstract Reasoning
Cognitive Processes Underlying Mathematical Concept Construction: The Missing Process of Structural Abstraction
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Scheiner, Thorsten; Pinto, Márcia M. F. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
The purpose of this paper is twofold: On the one hand, this work frames a variety of considerations on cognitive processes underlying mathematical concept construction in two research strands, namely an actions-first strand and an objects-first strand, that mainly shapes past and current approaches on abstraction in learning mathematics. This…
Descriptors: Cognitive Processes, Mathematical Concepts, Concept Formation, Learning Processes