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| For the Learning of… | 8 |
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Peer reviewedBalacheff, Nicolas – For the Learning of Mathematics, 1986
How students are convinced that they have the correct solution to a problem, free of contradiction, is discussed. The role of counterexamples and the need for a situational analysis of problem-solving behaviors are each included. (MNS)
Descriptors: Cognitive Processes, Elementary Secondary Education, Geometric Concepts, Mathematics Education
Peer reviewedBouvier, Alain – For the Learning of Mathematics, 1985
Principles on which the teaching of mathematics is based are discussed. Sections concern the skill principle, the curriculum principle, and learning strategy, with many classroom illustrations. (MNS)
Descriptors: Classroom Communication, Cognitive Processes, Elementary Secondary Education, Learning
Peer reviewedLunkenbein, Dieter – For the Learning of Mathematics, 1981
The concepts of groupings, their characteristics, and possible developments in a context of concept formation processes are illustrated. (MP)
Descriptors: Cognitive Processes, Concept Formation, Educational Psychology, Elementary Secondary Education
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 reviewedMordant, Ian – For the Learning of Mathematics, 1993
Discusses the concept of symmetrisation--the mental process in which individuals are not able to distinguish separate entities--in relation to students freezing before a mathematics problem. Examines whether the development of the concepts of fraction and equation in two mathematics textbooks addresses the problem of symmetrisation. (MDH)
Descriptors: Affective Behavior, Cognitive Processes, Elementary Secondary Education, Equations (Mathematics)
Peer reviewedBoaler, Jo – For the Learning of Mathematics, 1993
Suggests that contexts may be useful in mathematics instruction in relation to learning transfer and that the factors that determine whether a context is useful are complex. Discusses the context effect, learning in context, how well students identify with tasks taken out of an adult world, and the effects of ethnomathematics. (MDH)
Descriptors: Cognitive Processes, Context Effect, Cultural Context, Elementary Secondary Education
Peer reviewedCruz, Ines; Febles, Maria; Diaz, Jose – For the Learning of Mathematics, 2000
Presents a case study that aimed to obtain information on students' mathematical comprehension levels and on whether students may or may not make use of visualization processes in solving mathematical problems. Discovers students' beliefs about teaching and learning processes in general, and mathematics in particular. (Contains 25 references.)…
Descriptors: Cognitive Processes, Elementary Secondary Education, Mathematics Education, Spatial Ability
Peer reviewedSmith, John P., III; Hungwe, Kedmon – For the Learning of Mathematics, 1998
Explores the mathematical practices of three young mathematicians in an extended interview setting. Focuses on the interaction of discovery and verification, the role of conjecture in discovery, and the place of intuition and understanding in research. Indicates an interesting mismatch between how they valued their own guesses and how they reacted…
Descriptors: Cognitive Processes, Discovery Processes, Elementary Secondary Education, Learning Strategies
