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Direct linkDave Hewitt – For the Learning of Mathematics, 2024
The author has been influenced throughout his time in mathematics education by the work of Caleb Gattegno. Gattegno made extensive use of the word awareness whereas much educational literature from a psychological perspective talks about memory (for example, Justicia-Galiano, MartÌn-Puga, Linares & Pelegrina, 2017). This has, amongst other…
Descriptors: Mathematics Instruction, Teaching Methods, Memory, Mathematics Education
Swidan, Osama; Cusi, Annalisa; Robutti, Ornella; Arzarello, Ferdinando – For the Learning of Mathematics, 2023
This paper introduces a model built upon the Method of Varying Inquiry, offering a didactical approach to problem posing and solving activities that stimulates inquiry-based learning in mathematics classrooms. The model combines the inquiry-based framework with the variation theory and with specific didactical and theoretical elements (the…
Descriptors: Teaching Methods, Mathematics Instruction, Inquiry, Active Learning
Peer reviewedKang, Wan; Kilpatrick, Jeremy – For the Learning of Mathematics, 1992
Didactic transposition theory asserts that bodies of knowledge are designed not to be taught but to be used. Discusses didactic transposition, the transposition of knowledge regarded as a tool to be used to knowledge as something to be learned in mathematics textbooks. (14 references) (MDH)
Descriptors: Classroom Environment, Cognitive Processes, Cognitive Structures, Elementary Secondary Education
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
