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Powerful learning begins with the perfect provocation. Creating, refining and skilfully presenting the perfect provocation is an essential capability for teachers hoping to engage their class in rich dialogue. Claims that the percentage of students engaged by their learning declines from 75 percent in fifth grade to 32 percent by eleventh grade suggests a need for a more provocative environment. 

Sometimes, it seems everyone who ever went to school is an expert on education and has a plan to make it better. Actual teaching experience, years of professional learning and formal training are all easily swept aside. The result is an ongoing dialog around what schools should do, what teachers need to do more of or less of and how the academic success of the nation is linked to strategy x or y.

I have just had the opportunity to spend the weekend learning alongside a large group of mathematics teachers. After a day and a half of talking and thinking about mathematics teaching, I am excited to get back to school and try out some new ideas. There were also some key takeaways for me that I share below. These are the questions or wonderings that my mind wandered to while listening to the numerous talented speakers over the past two days.

In the contemporary classroom, there is much greater consideration of what the learner does in partnership with their teacher so that they develop the capacity to learn. Classroom routines and structures are designed to engage the learner in a rich process of dialogical learning. 

I recently had the opportunity to speak with a group of parents whose children are transitioning into a new phase of their learning. I used this as an opportunity to share some key messages for successful learning and thought I would briefly unpack these here.

Moodle site that explains some of the Web 2.0 tools and their applications in teaching and learning. Aimed at school teachers but a nice summary of some of the tools out there.

We live in a time of chaos, complexity and contradiction. (Sardar, 2010 [1]) Where rapid changes and transformations through technology, politics, globalisation and the climate, conspire against normality (Friedman, 2016 [2]) These times demand a fresh approach to education, one that provides learners with the thinking dispositions they need to turn challenges into opportunities, to connect their learning to their passions and emerge from their years of formal education as self-navigating life-long learners. 

Guide for new teachers on all things learning and teaching

Sharing learning and teaching experiences is good practice.

"Wikis and Wikipedia as a Teaching Tool"

Oxford Centre for Staff and Learning Development Suggestions for how to write good learning outcomes

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. 

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?

some great resources on this website (Centre for Research on Learning and Teaching - including flipped classrooom, learning analytics, inclusive practices etc

Designing effective teaching and learning in La Trobe's Moodle LMS

Transforming Assessment is an Australian Learning and Teaching Council Fellowship specifically looking at the use of e-assessment within online learning environments, particularly those using one or more Web 2.0 or virtual world technologies.

The dangers of making learning so safe and so easy it lacks any real sense of challenge. When we do this we deny our learners the opportunities they need to learn from mistakes and grow their minds. 

All learning is a consequence of thinking. I have these words printed and posted on the wall above my desk. It is a reminder of what I believe is a vital understanding. The consequences of this one statement are quite profound. They fundamentally shape what I do as an educator and the experiences I hope to create for my learners.

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.