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Mills, Terence; Sacrez, Aimé – Australian Mathematics Education Journal, 2020
Thomas Kuhn (1962/2012) introduced the term "paradigm shift" to the scientific literature to describe how knowledge in science develops. The aims of this article are to identify paradigm shifts, or revolutions, that have occurred in mathematics, and to discuss their relevance to teaching mathematics in schools. The authors argue that…
Descriptors: Mathematics Instruction, Cultural Differences, Models, Change
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Jones, Graham A.; And Others – Educational Studies in Mathematics, 1994
Describes the development, refinement, and validation of a framework for nurturing and assessing multidigit number sense in young children. Major constructs incorporated were counting, partitioning, grouping, and number relationships. The framework was validated through case studies of six first-grade children. (30 references) (MKR)
Descriptors: Case Studies, Concept Formation, Constructivism (Learning), Elementary Education
Geeslin, William, Ed.; Graham, Karen, Ed. – 1992
The Proceedings of PME-XVI has been published in three volumes because of the large number of papers presented at the conference. Volume 1 contains: (1) brief reports from each of the 11 standing Working Groups on their respective roles in organizing PME-XVI; (2) brief reports from 6 Discussion Groups; and (3) 35 research reports covering authors…
Descriptors: Action Research, Affective Behavior, Algebra, Arithmetic