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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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Movshovitz-Hadar, Nitsa; Hadass, Rina – Educational Studies in Mathematics, 1990
Reported is a naturalistic study of the role of mathematical paradoxes in the preservice education of high school mathematics teachers. Findings indicate that the model of resolving paradoxes as applied in this study has relevance to such aspects of mathematics education as cognitive conflicts, motivation, misconceptions, and constructive…
Descriptors: Cognitive Development, Cognitive Dissonance, Cognitive Structures, Higher Education
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Sfard, Anna – Educational Studies in Mathematics, 1991
This paper presents a theoretical framework for investigating the role of algorithms in mathematical thinking using a combined ontological-psychological outlook. The intent is to demonstrate that the processes of learning and of problem solving incorporate an elaborate interplay between operational and structural conceptualizations of the same…
Descriptors: Algorithms, Cognitive Development, Cognitive Structures, Concept Formation
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Liebeck, Pamela – Educational Studies in Mathematics, 1990
Children's responses to an alternative model over three lessons were described and their learning assessed in a posttest. Their responses and performances were compared to that of a similar group of children learning through a conventional number line model. The two models were compared from practical and theoretical viewpoints. (Author/CW)
Descriptors: Arithmetic, Cognitive Development, Cognitive Structures, Learning Strategies
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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
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Thornton, Carol A. – Educational Studies in Mathematics, 1990
In two parallel one-year studies, solution strategies for subtraction number facts and achievement patterns of matched groups of first graders in two different instructional programs were examined. Significant differences between groups were found favoring the strategy approach. (Author/CW)
Descriptors: Arithmetic, Cognitive Development, Cognitive Structures, Elementary Education