The mathematics of fountain design: a multiple-centres activity by Marshall Gordon describes a study about a variation of differentiated instruction in mathematics which caters to students of all ability needs. The lesson is about transforming quadratic equation. The article was published online in January 4, 2013 in the journal Teaching Mathematics and its Application. Here’s…

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Just how essential abstraction and algebra are? Here’s what Caleb Gattegno says on the importance of abstraction and algebra: Nobody has ever been able to reach the concrete. The concrete is so ‘abstract’ that nobody can reach it. We can only function because of abstraction. Abstraction makes life easy, makes it possible. Words, language have…

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Historical studies on the development of mathematical concepts will help mathematics teachers to relate their students’ difficulties in understanding to conceptual problems in the history of mathematics. Albrecht Heefer in his paper, argue that one popular tool for teaching about numbers, the number line, may not be fit for early teaching of operations involving negative numbers. His arguments are drawn…

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