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Sfard, Anna – Educational Studies in Mathematics, 1991
This paper presents a theoretical framework for investigating the role of algorithms in mathematical thinking using a combined ontological-psychological outlook. The intent is to demonstrate that the processes of learning and of problem solving incorporate an elaborate interplay between operational and structural conceptualizations of the same…
Descriptors: Algorithms, Cognitive Development, Cognitive Structures, Concept Formation
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Otte, Michael – For the Learning of Mathematics, 1990
Compared and contrasted are the concepts intuition and logic. The ideas of conceptual thought and algorithmic thought are discussed in terms of the world as a labyrinth, intuition and time, and the structure of knowledge. (KR)
Descriptors: Abstract Reasoning, Algorithms, Cognitive Ability, Cognitive Processes