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Vinner, Shlomo; Kopelman, Evgeny – Focus on Learning Problems in Mathematics, 1998
Discusses students' use of visual considerations in doing geometrical proofs. Studies ninth-grade students (n=17) in an academically-selective high school in Jerusalem. Concludes that only three out of 16 students who turned in their papers chose symmetry considerations when working on a proof. Contains 16 references. (ASK)
Descriptors: Foreign Countries, Geometry, Grade 9, High Schools
Hershkowitz, Rina – Focus on Learning Problems in Mathematics, 1989
Examines the role of visualization within the process of geometrical concept attainment for students in grades five through eight, preservice elementary teachers, and inservice senior elementary teachers. Investigates the "bitrian" and "biquad" examples, numbers of critical attributes, elements in triangles, judgment in quadrilateral examples, and…
Descriptors: Concept Formation, Elementary School Mathematics, Geometric Concepts, Geometry
Battista, Michael T.; And Others – Focus on Learning Problems in Mathematics, 1989
Investigates the relationship between the strategies used by preservice elementary teachers in geometric problem solving and two primary mental abilities--spatial visualization and formal reasoning. Reports that the two abilities were related to problem-solving performance, and the strategies used were related to achievement in the geometry…
Descriptors: College Mathematics, Formal Operations, Geometry, Higher Education
