Tag Archives: polygons

Top 20 Math Posts and Pages in 2012

I blog in order to organise what I think. And I don’t think I’m succeeding judging from the range of topics that I have so far written since I started Math for Teaching blog in 2010. Here’s the twenty most popular math posts and pages in this blog for the year 2012. It’s a mix… Read More »

Regular Polygons Problems

One of my favourite lesson design is a sequence of problem solving tasks that requires repetition of same reasoning and analysis by varying the ‘mathematical context’ of the problem in increasing complexity. However the variation in the context of the problem should be such that they still share some properties. In the examples below, the… Read More »

How to scaffold problem solving in geometry

Scaffolding is a metaphor for describing a type of facilitating a teacher does to support students’ own construction of knowledge. It is usually in the form of questions or additional information. In scaffolding learning, we should be careful not to reduce the learning by rote. In the case of problem solving for example, the scaffolds provided… Read More »

Twelve definitions of a square

How does mathematics define a math concept? Definitions of concepts in mathematics are different from definitions of concepts in other discipline or subject area. A definition of a concept in mathematics give a list of properties of that concept. A mathematics object will only be an example of that concept if it fits ALL those requirements, not… Read More »

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