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Zaslavsky, Orit; Sela, Hagit; Leron, Uri – Educational Studies in Mathematics, 2002
Presents evidence that there exists much confusion regarding the connection between the algebraic and geometric aspects of slope, scale, and angle. Participants responded to a simple but non-standard task concerning the behavior of slope under a non-homogeneous change of scale. Analysis of the responses reveals two main approaches termed…
Descriptors: Algebra, Cognitive Processes, Cognitive Restructuring, Concept Formation
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Callejo, Maria Luz – Educational Studies in Mathematics, 1994
Reports, in French, an investigation on the use of graphic representations in problem-solving tasks of the type in Spanish Mathematical Olympiads. Analysis showed that the choice and interpretation of the first graphic representation played a decisive role in the discovery of the solution. (34 references) (Author/MKR)
Descriptors: Diagrams, Geometry, Graphs, Heuristics
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Vysin, J. – Educational Studies in Mathematics, 1975
The Czechoslovakian Academy of Sciences is sponsoring an experimental approach to the modernization of the geometry curriculum. Geometry is viewed as ancillary to other parts of the curriculum and is taught as appropriate to other subjects (e.g., algebra). Combinatorial geometry is taught formally. (SD)
Descriptors: Algebra, Curriculum, Geometric Concepts, Geometry
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Shama, Gilli; Dreyfus, Tommy – Educational Studies in Mathematics, 1994
Identified and classified solution strategies of (n=49) 10th-grade students who were presented with linear programming problems in a predominantly visual setting in the form of a computerized game. Visual strategies were developed more frequently than either algebraic or mixed strategies. Appendix includes questionnaires. (Contains 11 references.)…
Descriptors: Algebra, Cognitive Style, Computer Assisted Instruction, Functions (Mathematics)