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Our beliefs about mathematics play a significant role in how we approach learning within the discipline. These beliefs are established by the nature of our early engagement with mathematics and are difficult to change once established. For many people mathematics is viewed as a subject that is not for them. Indeed the situation is so bad that many people will say that they are not a maths person and approach mathematics with fear and anxiety. 

Can Training in Second Life Teach Doctors to Save Real Lives?

Extensive study on what students consider are the characteristics of effective teachers - both F2F and online. A quick summary of the characteristics on p.25.

With the Christmas Holiday's finally here this is the perfect opportunity to catch up on some of that reading which has been delayed while more pressing matters are dealt with. Here are the top items on my holiday reading list. With a project underway that explores a conceptual based approach to teaching mathematics there is a bias in that direction. 

The shift away from teaching for the rote memorisation of prescribed methods requires teachers to rethink their approach to the discipline. With this new pedagogy comes a need to understand the processes of mathematical thinking in ways not previously required. When we require our students to be able to reason and problem-solve through unique challenges we also require our teachers to have an understanding of the mathematical moves that their learners are likely to call upon.

We rely on an assessment measure without taking a close look at what it is measuring and we obfuscate the information we need to evaluate the utility of these measures by reducing the results to numerical values.

Despite this being a 'thinking' conference, despite us all being advocates for structured and scaffolded models of thinking, not one group had applied any thinking routines, utilised a collaborative planning protocol or talked about applying an inquiry model or design thinking cycle. It wasn't that we didn't know about them. It wasn't that we don't know how to use them. It wasn't that we don't value them. We had all the knowledge we could desire on the how to and the why of a broad set of thinking tools and anyone of these would have enhanced the process, but we did not use any of them. Why was this the case and what does this reveal about our teaching of these methods to our students?

Reasoning is at the heart of mathematical thinking. It is what mathematicians do. But how do we teach it?

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