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Download full textNorton, Anderson; Ulrich, Catherine; Bell, Martha Ann; Cate, Anthony – The Mathematics Educator, 2018
The emerging field of mathematics educational neuroscience provides researchers with new approaches to understanding mathematical development, as well mathematics itself. This paper focuses on the role of the hand in constructing mathematics through activity. We rely on Piaget's distinction of three kinds of activity: sensorimotor activity,…
Descriptors: Mathematics Instruction, Mathematics Activities, Neurosciences, Piagetian Theory
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
