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Extending the balance metaphor
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Trade Publication Article
Extending the balance metaphor
2018
Overview
The emphasis on directly associating a sign (negative) with an object (balloon) through the metaphor of buoyancy, can assist in the successful manipulation of negative numbers by some pupils and inhibits the \"detachment of the minus sign\" reported as a persistent error as part of the standard balance model (Linchevski and Herscovics, 1996). Conclusions Based on my classroom practice, the extended balance-metaphor model, which provides an extension for the inclusion of embodied negative numbers into linear equations, does work successfully for pupils. Learners who have not yet become proficient with algebraic manipulation may benefit more from this approach, utilising the extended balancemetaphor model to enhance their mathematical skills by developing more secure algebraic proficiency with negative numbers.
Publisher
The Association of Teachers of Mathematics
Subject
