The Frayer Model was introduced to Paul and I at the workshop we went to on Conceptual Maths. It is a graphic organiser that requires learners to understand not only definitions but also the more complex concepts. It will hopefully promote a higher level of thinking and can also be used to assess deep understanding of the mathematical concept. It will take a bit of modelling but once the children get the hang of it, I believe it will be a really useful tool - not just for Maths.
The children came up with ideas that division was about grouping and sharing. We discussed the term 'equally' and trying to make groups in order to get 0 - or as near as possible. The week was taken up with different strategies we can use in order to help us solve division problems (not using a formal written method). That included using manipulatives as well.
At the end of the week I gave them a sheet where they had to solve various 'mastery' questions. This was the first time they had been exposed to these type of questions. Could they apply the strategies and use of manipulatives independently?
A mix response! One student broke down in tears - not quite what I was hoping for! But at least half of them, independently took what manipulatives they needed and started working on the questions. There was one question where they had to round up after dividing, which was a new concept. But by drawing groups they were able to visualise why they needed to round up, and not have a remainder.
They then blogged one explanation of how they solved the problem.
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