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Direct linkvanMarle, Kristy; Chu, Felicia W.; Mou, Yi; Seok, Jin H.; Rouder, Jeffrey; Geary, David C. – Developmental Science, 2018
Children's understanding of the quantities represented by number words (i.e., cardinality) is a surprisingly protracted but foundational step in their learning of formal mathematics. The development of cardinal knowledge is related to one or two core, inherent systems--the approximate number system (ANS) and the object tracking system (OTS)--but…
Descriptors: Number Systems, Cognitive Mapping, Longitudinal Studies, Preschool Children
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
