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Shemesh, Michal – 1988
A nonequivalent control group design study, with a math unit on ratio and proportion as the treatment, was conducted to examine the validity of some written tasks as a measure of formal reasoning. Subjects in the study were 68 fifth grade students who enrolled in two classes in a small urban school. The experimental group learned a 12-lesson math…
Descriptors: Elementary School Mathematics, Formal Operations, Grade 5, Intermediate Grades
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

Battista, Michael T. – Journal for Research in Mathematics Education, 1990
Investigates gender differences and the role of spatial visualization in problem solving in high school geometry. Reports that, whereas males and females differed in spatial visualization and in their performance, they did not differ in logical reasoning ability or in their use of geometric problem-solving strategies. (Author)
Descriptors: Formal Operations, Geometry, Logical Thinking, Mathematics Achievement