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Norton, Anderson – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
In this theoretical paper, I consider reversibility as a defining characteristic of mathematics. Inverse pairs of formalized operations, such as multiplication and division, provide obvious examples of this reversibility. However, there are exceptions, such as multiplying by 0. If we are to follow Piaget's lead in defining mathematics as the…
Descriptors: Mathematical Applications, Mathematical Formulas, Mathematics Instruction, Multiplication
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Norton, Anderson; Wilkins, Jesse L. M.; Evans, Michael A.; Deater-Deckard, Kirby; Balci, Osman; Chang, Mido – Mathematics Teaching in the Middle School, 2014
The authors introduce an educational video game (application, or "app"), "CandyFactory Educational Game," designed to promote students' development of partitive understanding of fractions while demonstrating the critical need to promote that development. The app includes essential game features of immediate feedback,…
Descriptors: Video Games, Educational Games, Mathematics Curriculum, Mathematics Activities