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Alro, Helle; Skovsmose, Ole – For the Learning of Mathematics, 1996
Provides examples and a discussion of the Inquiry Cooperation Model (ICM). The ICM is a way of describing a pattern of communicative cooperation between teacher and students. It tries to develop students' preconceptions into mathematical competence. Contains 15 references. (DDR)
Descriptors: Communicative Competence (Languages), Concept Formation, Constructivism (Learning), Discourse Analysis

Balacheff, Nicolas – For the Learning of Mathematics, 1990
Discussed are the recognition and the relevance, in terms of teacher/student awareness and subsequent effective teacher treatment techniques, of cognitive disequilibrium as experienced by the student, when such disequilibrium is provoked by mathematical contradictions and/or counterexamples, within the classroom paradigm of constructivism. (JJK)
Descriptors: Cognitive Dissonance, Cognitive Psychology, Concept Formation, Developmental Psychology

Monaghan, John – For the Learning of Mathematics, 1991
Presents the portion of a larger study of A-level British students understandings of calculus that deals with ambiguities inherent in the phrases "tends to,""approaches,""converges," and "limit." Responses to two questionnaires indicate that the four phrases generate everyday connotations that are at odds…
Descriptors: Calculus, Cognitive Development, Cognitive Measurement, Concept Formation