Technology Enabled Learning & Teaching @ UNSW

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. 

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.

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. 

Our language choices communicate both intended and unintended messages. In the choices we make, in the subtlety of these choices, lies a truth more powerful than that conveyed by a literal reading of our words. When we look closely and critically at our use of language, we begin to see particular patterns which reveal much about what we genuinely value and expect from our learners. 

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. 

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

At the heart of mathematics are a set of connected thinking dispositions. The mathematician uses these dispositions as the cognitive tools of their trade. While the traditional imagining of mathematics might be all about the accurate application of well-rehearsed algorithms and processes, in the real world of mathematics, it is all about the thinking. As we consider what our students need from their mathematical education, we should not overlook the importance of these dispositions. 

What might it take to ensure students choose to be in our courses because the value of the learning achieved through mindful attendance is such that they would not want to be anywhere else?

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. 

The Future of Education is a topic often discussed, and at the recent gathering of educators in Florence, it was the title and theme for the conference. Now in its ninth year, The Future of Education is an international conference that attracts educators from around the world and across all domains touched by education. The conference is an inspiring two days of discussion and sharing, with the city of Florence, the centre of the Renaissance, providing a constant reminder of what might be possible when creativity and critical thinking combine. Here are my key takeaways from this event.

This week I am in Florence having spent two days at "The Future of Education" conference. Visiting this city, which has played such a significant role in western history, is inspiring. It encourages one to not only look back at what was, but also to look ahead at what might be, especially when the t

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?

We are living in interesting, frightening and rapidly changing times. Where rapid changes and transformations through technology, politics, globalisation and the climate, conspire against normality. These times demand a fresh approach to education, one that provides learners with the thinking dispositions they need to turn challenges into opportunities.  "All that was 'normal' has now evaporated; we have entered postnormal times, the in-between period where old orthodoxies are dying, new ones have not yet emerged, and nothing really makes sense." But what thinking might guide us through this time of volatility, uncertainty, complexity and ambiguity?

Last week I decided that a good home cooked meal was in order. Lacking inspiration it turned to a recipe book I had been gifted the previous Christmas and found what appeared to be a tasty and nutritious option. I read on with enthusiasm and was soon imaging myself dining on this wholesome meal. If the end result looked half as good as the glossy picture that accompanied the recipe, I would be in luck.

The frog in the pot of boiling water in An Inconvenient Truth is a cinematic moment that has the desired effect. It is one of the moments from the film that the audience remembers long after the credits roll. I have often thought about how this metaphor applies to change and particularly the way that change operates in schools.

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.

Identifying what our children need to learn is one of the most important processes within education. For the teacher this is the question they engage with as they design their teaching and learning units. By no means is this an easy task and the teacher must balance multiple factors to ensure that the programmes they design provide their students with the learning they require. Even the most effective sequence of lessons is of little value if what it sets out to teach has little importance in the lives our learners are likely to lead. 

There are some ideas which seem to translate nicely into fields of thought far from their point of origin. These are  ideas which shine a metaphorical light on concepts and allow us to develop a deeper understanding of that concept once we see it from a fresh perspective. Schrödinger's Cat is one such idea.

We are driven by curiosity. It is an innately human quality that has driven us to explore, ask questions, investigate, wonder why and search for a deeper understanding. In a very fundamental way curiosity is the driver of all self-directed learning. It is our desire to find out more, unlock new knowledge and answer our questions (big ones and little ones) that compels us to learn. Sir Ken Robinson famously and provocatively asked "Do Schools Kill Creativity?". The same question might be asked about curiosity.