Co-Counting: Demystifying Rational Number Learning
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Date
2020-03-11
Authors
Boulet, Geneviève
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Abstract
The aim of this article is to provide a unified framework for the ratio concept which
in turn provides an alternative foundation for understanding rational numbers. In
order to achieve this, a new perspective on counting is presented. Creating a
conceptual hub that houses all the real numbers helps connect as well as distinguish
their diverse natures and purposes. In particular, given the extent of the difficulties
learners have with rational numbers, the classification proposed here may support
teachers in demystifying the nature of fractions, decimal numbers, and percents by
situating them in the larger scheme of sizing amounts. Indeed, the proposed cocounting structure may provide a simple yet comprehensive foundation for
proportional reasoning.
Description
Keywords
Classification , Ratio concept , Education , Rational numbers , Counting