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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

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

Robitaille, David F. – Educational Studies in Mathematics, 1990

Presented is a comparison of two major surveys of the teaching and learning of mathematics conducted by the International Association for the Evaluation of Educational Achievement. Surveys indicate that performance levels have declined in computational skills and increased in algebra. (Author/CW)

Descriptors: Algebra, Arithmetic, Calculus, Comparative Education

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

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

Peer reviewed

Ben-Chaim, David; And Others – Educational Studies in Mathematics, 1990

Comparisons were made between teacher and pupil perceptions of eight facets of the mathematics environment. Teacher perceptions tended to differ from pupil perceptions although not always in the hypothesized direction. (Author/CW)

Descriptors: Academic Achievement, Educational Environment, Foreign Countries, Mathematics 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

Nesher, Pearla; Peled, Irit – Educational Studies in Mathematics, 1986

The process of transition from a novice's state to that of an expert, in the domain of decimals, is described in terms of explicit, intermediate, and transitional rules which are consistent yet erroneous. Data from students in grades 6-9 are included. (MNS)

Descriptors: Cognitive Processes, Decimal Fractions, Educational Research, Elementary School Mathematics

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