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This week I spent three days in Brisbane attending the Australian Association of Mathematics Teachers' national conference. The theme of the conference was "Why Maths?" and along with 500 other mathematicians, we looked to find inspiring answers to this provocative question beyond the classroom. Here are my key takeaways from this event. 

How might we prepare our students for an unknown future? If we accept that we are living in times of rapid change and that the world our children will inhabit is likely to be very different from the world of today, or perhaps more importantly, different from the work our current education system was designed to serve, what should we do to ensure our children are able to thrive?

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

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. 

James Tanton shattered my understanding of the vertical algorithm. More than that, he helped me to see how poorly I understood place value and that many of my students function with the same misunderstanding. What made the experience more humbling was that it took him less than two minutes to do this.

For teachers in Australia, the long Term Three is drawing rapidly to a close. Indeed as I write this just ten days remain before a two-week break. This is the perfect time to consider a holiday reading list. Just enough time to raid the school library or place an order with your favourite book store. Here is what's currently occupying space on my nightstand. 

Adults love to ask "What if...?" questions too. It is a model that can be a catalyst for change when used in the right way and when combined with some other questions. 

Play is a vital tool for learning. It should be vital part of every child's learning; the norm rather than the exception and we leave it behind as we become adults to our own peril. 

Particular patterns of pedagogy have been of most interest to me across the years, particularly those that shift the focus from what the teacher does to what the student does. With this shift comes an emphasis on understanding how students learn and with this knowledge in mind developing learning experiences that will allow them to develop their skills for learning.

It is difficult to understate the importance of reflective practice for learning. Dewey states that "We do not learn from experience. . . we learn from reflecting on experience", and it is worth taking time to consider the implications of this. How might we maximise the benefits of reflective practise amidst the many competing pressures we confront?

One of the thinking moves that we hope our students will confidently engage with is centred around the disposition of uncovering complexity. As we endeavour to shift our students towards a deeper understanding, the capacity to uncover complexity is a vital step. However, the ability to uncover complexity is itself complex and an excellent example of a skill that is best achieved when considered as a disposition. 

Learning should always be an active process and a two-way partnership between teaching and learning. In essence, learning and its counterpart exist as a vibrant dialogue between individuals whose role in the relationship is continually transformative. I'd like to explore this thinking further.

I am wanting to take a slightly different approach to this weeks post. The past week has seen the latest round of PISA results and the media has had a field day. Headlines have routinely attacked students, educators and education systems in equal measure. The Canberra Times reported that "Australian school scores plummet on world stage", the Sydney Morning Herald led with "Alarm bells': Australian students record worst result in global tests" and The Weekend Australian went with "PISA global educational rankings: Schools fail on maths, science". 

This much-maligned question seems so appropriate for education's recent history. All that was normal, everything that was routine, all of our structures, have been turned upside down and hurled into the wind of COVID19. From having spoken of a future dominated by volatility, uncertainty, complexity and ambiguity (VUCA), we have found ourselves living in it. Innovation and creativity became the new normal as we "Apollo 13" schooling into a model that met the demands of emergency remote learning. The pressure, the workload, the demands on our time and the cognitive load have all been immense, and so it seems fitting to ask "Are we there yet?".