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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. 

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. 

"Der deutsche Buchhandel hat das Gerichtsurteil zu Googles Plänen für eine digitale Bilbliothek begrüßt. "Heute ist ein wichtiger Tag für das Urheberrecht", erklärte der Vorsteher des Börsenvereins des Deutschen Buchhandels, Gottfried Honnefelder, in einer Mitteilung. Das Urteil zeige "der ganzen Welt, dass geistiges Eigentum nicht aufgrund privater oder kommerzieller Interessen zur Disposition gestellt werden kann"."

For educators, parents and learners Carol Dweck's research on the benefits of a Growth Mindset is naturally appealing. Those who have a growth mindset achieve better results than those who don't, are more resilient and accept challenge willingly. After two years of incorporating a growth mindset philosophy we are finding that the reality of shifting a student's disposition away from a fixed mindset and then maintaining a growth mindset is significantly more complex than at first imagined.

If we are to cultivate the dispositions required in these times of postnormality and post-truth we need to establish cultures in our classrooms which will allow them to thrive. 

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 collective ability to learn and by doing so, adapt to changing circumstances through the acquisition of new skills and dispositions is what Edward de Bono refers to as EBNE; Essential But Not Enough. - What then might education need as it develops a response to times of rapid change?

Our goal might be to support Deep versus Surface Learning, but what does this mean in practical terms. What are the beliefs and dispositions which support teaching for deep learning, and what are the implications of this in terms of the pedagogy we adopt?

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?

When we are young, we are naturally curious. We ask many, many questions. As we encounter the world, our consciousness is bombarded by a plethora of opportunities for curiosity. And at this early stage of exploring and discovering the world we inhabit, there is no filter between our sense of curiosity and our expression of our it. If we are curious, we will be asking questions and heaven help anyone close enough to be a potential source of answers. - At school, our relationship to both curiosity and inquiry changes.

Recently I have found a number of ideas on the web that were particularly interesting and together paint a compelling picture of education's future. Each fits into a model where the focus is on developing skills, dispositions and habits that will last into the future - long life skills.

Learning is impacted by many forces such as the learner's disposition to the process, the quality of their teacher's pedagogy, their emotional state and nature of the curriculum. Amongst this long list of factors is naturally the environment in which that learning occurs and the relationship between the environment and the learner.

As we move towards this brighter future with the fear of a global pandemic somewhat alleviated, what might be our next steps? How might we apply the lessons learned so rapidly, and brutally during this past twelve-month period? Might COVID be a catalyst for the reinvention of education that so many have been calling for?