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Download full textNorton, 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
Proulx, Jérôme – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
This study on the mental solving of systems of linear equations is part of a larger research program, aimed to gain a better understanding of the potential of mental mathematics activities with topics/objects other than numbers. Through outlining the study details and the activities engaged with, the paper reports on the variety of strategies…
Descriptors: Mental Computation, Mathematics Activities, Learning Strategies, Equations (Mathematics)
