A Class of Fractions adding how Pupils wish
Martin Himmel
TL;DR
This paper introduces four new fraction operations inspired by children's creative ways of adding and multiplying fractions, exploring their properties to understand novel approaches to fraction arithmetic.
Contribution
It presents a new class of fraction operations motivated by children's inventive methods, analyzing their properties for the first time.
Findings
Four new fraction operations are defined.
Some algebraic properties of these operations are established.
Potential applications in education are discussed.
Abstract
Motivated by children inventing creatively laws on how to add or multiply fractions, we introduce four fraction operations and discover some of their properties.
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Taxonomy
TopicsMathematics Education and Pedagogy · Cognitive and developmental aspects of mathematical skills · Mathematics Education and Teaching Techniques