Dean's great discovery: multiplication, division and fractions: Colleen Vale and Anne Davies describe a child's powerful learning experience in discovering relationships between multiplication, division and fractions.

Australian Primary Mathematics Classroom | September 22, 2007| | Copyright

Multiplication, division and fractions are 'hotspots' for students in the middle years with many students experiencing difficulty with these concepts (Siemon, Virgona & Cornielle, 2001). Arrays effectively model multiplication and help children develop multiplicative thinking and learn multiplication facts (Young-Loveridge, 2005). In this article we show how an open-ended array problem enabled a Grade 5/6 student to think about the relationship between multiplication, division and fractions. In the article we describe the project and 'hot spot' mathematical tasks that we used ...

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