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The Bar Model

Created on 24 April 2014 by ncetm_administrator
Updated on 13 May 2014 by ncetm_administrator


The bar model is used in Singapore and other countries, such as Japan and the USA, to support children in problem solving. It is not a method for solving problems, but a way of revealing the mathematical structure within a problem and gaining insight and clarity as to how to solve it. It supports the transformation of real life problems into a mathematical form and can bridge the gap between concrete mathematical experiences and abstract representations. It should be preceded by and used in conjunction with a variety of representations, both concrete and pictorial, all of which contribute to children’s developing number sense. It can be used to represent problems involving the four operations, ratio and proportion. It is also useful for representing unknowns in a problem and as such can be a pre-cursor to more symbolic algebra.

Pupils make use of concrete objects to
make sense of problems involving whole and comparison ideas

Drawing of rectangular bars as pictorial /mathematical representations of the ideas

Use of the
representations to identify the mathematics that needs to be applied to solve the problem



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07 June 2017 20:37
Thank you for the replies.
By lucieclarke
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06 June 2017 19:10

Although not what you requested, there are downloadable folders and files, in the Multiplicative Reasoning microsite, which include bar models, double number lines and raio tables.

06 June 2017 08:41
Lucie - I'm afraid not: this is intended to be interactive, and a downloadable version wouldn't have had this flexibility - sorry!
05 June 2017 19:38
Is the info and examples using the bar method available as a download at all please?
By lucieclarke
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