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On the Analysis of Cognitive Structures in Algorithmic Thinking.

Peer reviewed

Schwank, Inge – Journal of Mathematical Behavior, 1993

Differences in students' (aged 12-14) construction and analysis of mathematical algorithms may be explained by the differences between predicative and functional cognitive structures. Analyzes the central role of internal and external representations and the characteristics of each. Discusses prototypical research design and development of a…

Descriptors: Algorithms, Cognitive Psychology, Cognitive Structures, Elementary Education

Intuition and Logic.

Peer reviewed

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