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Steinbring, Heinz – Educational Studies in Mathematics, 1991
An attempt is made to elaborate on the connections and differences between the objective and subjective elements of mathematical knowledge using case study analysis relative to how an epistemological perspective about probability and randomness impacts upon a short classroom teaching episode. (19 references) (Author/JJK)
Descriptors: Aptitude Treatment Interaction, Case Studies, Classroom Environment, Classroom Techniques
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Fischbein, Efraim; And Others – Educational Studies in Mathematics, 1991
To investigate the origins and nature of intuitive obstacles affecting the learning of elementary probability theory, 618 Italian elementary and middle school students were interviewed about their methods of solution for several problems dealing with probability. The discussion focuses on four varieties of obstacles to learning prevalent within…
Descriptors: Cognitive Structures, Cognitive Style, Comprehension, Concept Formation
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Schneider, Maggy – Educational Studies in Mathematics, 1992
Divided into two parts, this article analyzes why some pupils feel reserve about instantaneous velocities and instantaneous flows. The second part relates reactions of pupils facing a problem that implicates the instantaneous rate of change. Describes some characteristics of this problem that enables the authors to explain its instructional…
Descriptors: Calculus, Cognitive Processes, Concept Formation, Foreign Countries
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Davis, Gary; Pepper, Kristine – Educational Studies in Mathematics, 1992
Provides new evidence for mathematical problem-solving abilities of preschool children. These problem-solving behaviors occurred in a study of sharing of discrete items by dealing, in which we examined the abilities of three categories of counters to solve a discrete redistribution problem. Identifies problem-solving strategies used in the context…
Descriptors: Cognitive Measurement, Cognitive Style, Early Experience, Interviews
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D'Ambrosio, Beatriz S.; Campos, Tania Maria Mendonca – Educational Studies in Mathematics, 1992
Reports a study to investigate the extent to which research experience of designing and conducting their own study could enhance five preservice teachers' understanding of children's knowledge of the mathematical concept of fractions. Results indicated that research experience is fruitful in developing an inquisitive disposition in preservice…
Descriptors: Cognitive Restructuring, Cognitive Structures, Elementary Education, Experiential Learning