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Direct linkTuohilampi, Laura; Nieminen, Juuso Henrik; Beswick, Kim – For the Learning of Mathematics, 2023
When a Year 7 student physically reacted to a prompt of another student by anxiously drumming the desk with his ruler, exclaiming "uuuuhh", the initial thought of the observing researcher, Laura, was: "this is an interesting account". This started a reflective journey of first applying robust research methodologies to the…
Descriptors: Logical Thinking, Problem Solving, Grade 7, Researchers
Peer reviewedOtte, 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
Peer reviewedAvital, Shmuel; Barbeau, Edward J. – For the Learning of Mathematics, 1991
Presents 13 examples in which the intuitive approach to solve the problem is often misleading. Presents analysis of these problems for five different sources of misleading intuitive generators: lack of analysis, unbalanced perception, improper analogy, improper generalization, and misuse of symmetry. (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Generalization, Geometric Concepts
