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Download full textTall, David – Mathematics Education Research Journal, 2008
This paper focuses on the changes in thinking involved in the transition from school mathematics to formal proof in pure mathematics at university. School mathematics is seen as a combination of visual representations, including geometry and graphs, together with symbolic calculations and manipulations. Pure mathematics in university shifts…
Descriptors: Mathematical Logic, Mathematics Instruction, Mathematical Concepts, College Mathematics
Peer reviewedFischbein, Efraim; Schnarch, Ditza – Journal for Research in Mathematics Education, 1997
Describes a study that investigated probabilistic intuitions held by students (N=98) from grade 7 through college through the use of a questionnaire. Of the misconceptions that were investigated, availability was the only one that was stable across age groups. Contains 20 references. (DDR)
Descriptors: Age Differences, Cognitive Structures, Concept Formation, Elementary Secondary Education
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
