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Leder, Gilah C. – Educational Studies in Mathematics, 1992
This article is concerned with the learning of mathematics before the commencement of formal schooling. Describes the experiences of two students from four main sets of data: formal and informal measures of mathematics achievement, the learning environment in the home, and observations during teacher-led sessions concerned with mathematical…
Descriptors: Case Studies, Classroom Environment, Cognitive Measurement, Cognitive Style
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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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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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Zehavi, Nurit; And Others – Educational Studies in Mathematics, 1985
A model of qualities of mathematical activity was developed within a framework of learning goals. A clinical application of the model is described, in which ninth-grade students were given assignment projects. A hierarchy of effective guidance was established, permitting diagnostic evaluation and progressive development of mathematical activity.…
Descriptors: Diagnostic Teaching, Educational Research, Error Patterns, Grade 9
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Lemoyne, G.; Tremblay, C. – Educational Studies in Mathematics, 1986
This study involved 48 students ages 9 to 12. The 29 experimental group students, divided into small groups, performed learning exercises designed to improve skills in analyzing and processing expressions frequently included in addition and multiplication problems. The exercises helped significantly to improve problem-solving performance. (MNS)
Descriptors: Addition, Educational Research, Elementary Education, Elementary School Mathematics
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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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Markovits, Henry – Educational Studies in Mathematics, 1986
College students were given two paper-and-pencil conditional reasoning tests, one week apart, in varying order. The three problems on each test were presented either verbally or with line drawings as concrete referents. Performance was significantly poorer on the problems with drawings. (MNS)
Descriptors: Audiovisual Aids, Cognitive Development, College Mathematics, Educational Research