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Kuper, Marie; Walter, Marion – Mathematics Teaching, 1976
Relationships between the linear dimensions, surface area, and volume of parallelepipeds are examined. (SD)
Descriptors: Elementary Secondary Education, Generalization, Geometry, Instruction
Download full textMitchelmore, Michael C. – 2002
Although mathematics deals with generalizations relating abstract ideas, very little attention has been given in the mathematics education literature to the role of abstraction and generalization in the development of mathematical knowledge. In this paper, the meanings of "abstraction" and "generalization" are first explored by…
Descriptors: Abstract Reasoning, Cognitive Processes, Concept Formation, Elementary Secondary Education
Schwartz, Judah L., Ed.; And Others – 1993
This volume attempts to bring together a collection of reports on the Geometric Supposer, a series of computer software environments which can be a tool for exploring particulars and generalizations in geometry. The book contains the following chapters: (1) "A Personal View of the Supposer: Reflections on Particularities and Generalities in…
Descriptors: Cognitive Development, Computer Assisted Instruction, Courseware, Diagrams
