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Direct linkHicks, Michael D. – For the Learning of Mathematics, 2022
Analogical reasoning has played an important role in the development of modern mathematics. However, there has been critique of analogies for the purpose of learning new mathematics. In this article, I counter that students can productively reason by analogy to learn new mathematics and even develop new mathematics themselves. I display examples…
Descriptors: Logical Thinking, Mathematics Skills, Mathematics Education, Undergraduate Students
Peer reviewedFischbein, Efraim; And Others – For the Learning of Mathematics, 1990
Described is research which sought to prove the hypothesis that mental models tend to preserve their autonomy with regard to the originals they are meant to represent. The results of this investigation involving 200 Israeli students are presented. (CW)
Descriptors: Cognitive Structures, Foreign Countries, Geometry, Learning Processes
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 reviewedTurkle, Sherry; Papert, Seymour – For the Learning of Mathematics, 1993
Case studies of elementary school and college students are used to examine the different styles of approach taken to computer programing. Introduces the term "bricoleur" to describe programers who do not take a structured approach to programing. Discusses gender differences among programers. (MDH)
Descriptors: Case Studies, Cognitive Style, College Students, Computers
