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Peer reviewed

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

Peer reviewed

Streefland, Leen – Educational Studies in Mathematics, 1984

Ideas on a teaching-learning theory of ratio are presented. Views of children and of members of an international panel are presented, and five questions and their responses are compared with real classroom experience. (MNS)

Descriptors: Cognitive Processes, Educational Research, Elementary Education, Elementary School Mathematics

Peer reviewed

Hawkins, Anne S.; Kapadia, Ramesh – Educational Studies in Mathematics, 1984

Identifies key questions concerning children's intuitions and conceptions of probabilistic notions. Research on the theoretical framework for probability studies, misconceptions and strategies, and pupil attainment is reviewed, and the methodology is evaluated. Finally, implications for classroom practice are discussed. (MNS)

Descriptors: Educational Research, Learning, Literature Reviews, Mathematics Education

Peer reviewed

Cobb, Paul – Educational Studies in Mathematics, 1987

Reports on a study into first grade student's interpretations of the equals sign in different contexts. Argues that varying situations affect students' understanding of such arithmetic concepts, including the social interaction patterns in the classroom during arithmetic instruction. (TW)

Descriptors: Arithmetic, Cognitive Measurement, Elementary Education, Elementary School Mathematics

Peer reviewed

Burt, Gordon – Educational Studies in Mathematics, 1990

An application of critical cultural and ideological technology is reported in the field of mathematics education. A step-by-step method is set out and applied to a particular classroom problem. (CW)

Descriptors: Cultural Exchange, Cultural Influences, Cultural Interrelationships, Educational Philosophy

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

Watson, Helen – Educational Studies in Mathematics, 1987

Discussed are the results of interviews with 63 Australian children (interviewed in English) and 62 Nigerian children (62 interviewed in English and 60 interviewed in Yoruba) to determine how they used number concepts in discussing five demonstrations manipulating physical matter. Differences between the two groups are considered. (RH)

Descriptors: Bilingual Students, Concept Formation, Conservation (Concept), Elementary Education

Peer reviewed

Olson, A. T.; And Others – Educational Studies in Mathematics, 1987

Provided is an analysis of Turtle Geometry using van Hiele levels of development and understanding. The author also relates a language use framework, suggested by the work of Fry (1982), to the language activities of Turtle Geometry. Research supporting the analysis is discussed. (RH)

Descriptors: Elementary School Mathematics, Geometric Concepts, Geometry, Language Usage

Peer reviewed

Lerman, Stephen – Educational Studies in Mathematics, 1989

Examined is what radical constructivism in connection with Intuitionism might mean to mathematics instruction. Implications for mathematics education, especially the potential consequences for the teaching of mathematics of a relativist view of mathematical knowledge, are suggested. (YP)

Descriptors: Educational Philosophy, Epistemology, Learning, Mathematical Logic

Peer reviewed

Leder, Gilah C. – Educational Studies in Mathematics, 1987

Reports on a study of possible differences in interaction patterns between a sixth-grade teacher and different groups of students. Results showed consistency in the interactions studied, but important differences occurred in the quality and quantity with students perceived as "best" and "weakest" and boys and girls in…

Descriptors: Classroom Communication, Elementary Education, Elementary School Mathematics, Elementary School Science

Peer reviewed

Yerushalmy, Michal; Chazan, Daniel – Educational Studies in Mathematics, 1990

Identified are three obstacles which students must overcome when examining and interpreting diagrams. The resources of the Geometric Supposer, a set of microcomputer tools designed to aid students, are outlined. The advantages of the use of this software are emphasized. (CW)

Descriptors: Computer Software, Computer Uses in Education, Diagrams, Geometric Constructions

Peer reviewed

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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