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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
Ketterlin-Geller, Leanne R.; Chard, David J. – Australian Journal of Learning Difficulties, 2011
Developing proficiency in algebra is the focus of instruction in high school mathematics courses and is a minimum expectation for high school completion for all students including those with learning difficulties. However, the foundation for success is laid in grades 4-8 (aged 9-14). In this paper, we assert that students' development of algebraic…
Descriptors: Problem Solving, Number Systems, Numeracy, Grade 4