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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 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. 

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.

This year is the fiftieth birthday of Harvard's Project Zero, a research project designed to explore the nature of thinking and learning and from this suggest pedagogies which align with what we know about the mind. For its birthday celebration Project Zero shared insights from its five decades of research with presentations from Howard Gardner, David Perkins, Shari Tasman, Steve Seidel and Daniel Wilson. The presentations revealed the changing nature of the work of Project Zero from its early days and focus on arts education to its current position as a research organisation with broad interests across education but with a focus on thinking, understanding and the workings of the mind.

On Saturday PZ Sydney Network hosted Ron Ritchhart and Mark Church for a conversation about their new book, "The Power of Making Thinking Visible". What follows is a summary of some of the key messages from this conversation. You can watch the whole conversation above. For more learning opportunities like this visit the PZ Sydney Network or follow @pzsydnetwork on Twitter.

often think in metaphors. They help me to clarify and communicate my thinking. A metaphor can make a complex idea accessible and comprehensible. They invite understanding and are a useful catalyst for conversation. A metaphor can be made even more powerful when it is combined with a practical demonstration. One metaphor I like to share with colleagues revolves around the impact that we might have as teachers. - A guest post by Stellina Sim

Being a teacher of elementary students, it is important that you hone their independent thinking skills and empower them to stand up to their decisions with confidence.

If we teach our children to think then they will do better on the test and they will do better in life. This was one of the clear messages delivered by the presenters at the International Conference on Thinking (ICOT) in Bilbao, Spain.

Jesus knew what they were thinking and asked, "Why are you thinking these things in your hearts? Which is easier: to say, 'Your sins are forgiven,' or to say, 'Get up and walk'?

Threaded discussion is an old technology. It's inspiring to think of new ways we can talk together at a distance that allow integration of both synchronous and asynchronous technology. I often thing we'll look back on the course management systems we use today and think of them as something like a 300 baud modem. Eyes Front! What's over the horizon line?

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"Business and the media are constantly screaming that problem solving skills and creative thinking are the keys to innovation and success (and the beat the robots trying to take your job), yet many teachers feel that the skills and opportunities to develop them are often an add-on, an after thought, or taught in isolation during special activities, like a STEM week. Even these activities have a particular expected method which the pupils must 'discover', rather than completely new and unique solutions. How can we develop the skills to help our pupils think of the unexpected?"

Oddly lately I have been pondering how schools responds to the question of a work life balance. Let me try to explain my thinking. I am still trying to clarify my thinking here, so please bear with me. What does it mean to achieve work life balance, and should we want to?

A common challenge for students and teachers is how to develop a great idea for a piece of writing. Too often students struggle with the process of finding inspiration for their writing. They have a vague idea for the story they hope to tell, but all too quickly it transforms into a list of events with little or no detail. The goal here is to provide our students with a process to use during the planning process. The hope is that by identifying the type of thinking required during the early phases of ideation and to focus their attention on details, that the stories our students subsequently compose will be more enjoyable to read. Hopefully, this process helps.

Think back to how you felt after the last day you spent at a conference or course. If things went well you probably came out feeling enthused by new ideas but also exhausted and fatigued in ways that you don't after a regular day at work. If the presenters have done their job well and you choose your workshops wisely, the day should have been full of learning that resulted from you having to think. Days like this should work our brains hard and it should be no surprise when we are fatigued by such an experience. - So how might our students be coping?

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?