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The Evolution with Age of Probabilistic, Intuitively Based Misconceptions.
Peer reviewed Peer reviewed
Fischbein, Efraim; Schnarch, Ditza – Journal for Research in Mathematics Education, 1997
Describes a study that investigated probabilistic intuitions held by students (N=98) from grade 7 through college through the use of a questionnaire. Of the misconceptions that were investigated, availability was the only one that was stable across age groups. Contains 20 references. (DDR)
Descriptors: Age Differences, Cognitive Structures, Concept Formation, Elementary Secondary Education
Affective Issues in Mathematical Problem Solving: Some Theoretical Considerations.
Peer reviewed Peer reviewed
McLeod, Douglas B. – Journal for Research in Mathematics Education, 1988
Mandler's theory of emotion is suggested as a framework for investigating affective issues in problem solving. Several dimensions of the emotional states of problem solvers are specified. Implications of this framework for research on affective issues in problem solving are also discussed. (PK)
Descriptors: Affective Behavior, Affective Measures, Affective Objectives, Cognitive Processes
Applying Personal Construct Psychology to the Study of Teachers' Knowledge of Fractions.
Peer reviewed Peer reviewed
Lehrer, Richard; Franke, Megan Loef – Journal for Research in Mathematics Education, 1992
Reports case studies using personal construct psychology and the logic of fuzzy sets to elucidate the content and organization of two elementary school teachers' knowledge of fractions and mathematical pedagogy. Results identified four personal constructions that affected classroom events; knowledge of fractions, general pedagogical knowledge,…
Descriptors: Beliefs, Case Studies, Cognitive Structures, Cognitive Style