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In times when we taught face-to-face, some of these challenges would be overcome through the use of concrete materials, at least with younger students. Unfortunately, it is common for the use of concrete materials to decline as students grow older. Fortunately, this pattern, and the prejudiced beliefs on which it is founded, are today being questioned.

Of all the subjects that our students engage in, mathematics is the one most requiring an injection of learner agency. What is it about mathematics that engenders it to modes of teaching that are so heavily teacher-directed? How might this change if we seek to understand the place that learner agency plays in producing learners who will emerge from our classrooms with a love of mathematics and a deep understanding of its beauty?

How do move from an emphasis on rote learning of procedures in mathematics towards a focus on mathematical reasoning?

What changes when we refer to ourselves or our students as members of the community of thinkers and learners that they are apprenticed to? What changes when we are mindful in our use of a language of identity?

Why might it be that our students struggle with independence? Maybe it comes from the language moves we make. As with the language of thinking, being deliberate with our choices can help us to create a classroom culture where students demonstrate independence and initiative.

A good place to start in our efforts to shift the impact that our language choices have is with a focus on the language of thinking. If we believe that all learning is a consequence of thinking, it is natural to select language moves that encourage this from our learners.

The landing of the Perseverance rover on Mars is an excellent catalyst for a discussion with students about the nature of Mathematics. It is a chance to inspire curiosity and wonderment and to do so through a mathematical lens.

If we believe that all learning is a consequence of thinking, then we should consider what types of thinking our learners are likely to benefit from at each phase of their inquiry. This is where the Understanding Map, developed by Ritchhart, Church & Morrison offers useful guidance. By contemplating the demands of each phase of our chosen inquiry model, we can plan for how we might scaffold thinking moves which will enhance our learners' learning.

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

As schools prepare for the upcoming Christmas break here is a list of books that are bound to get you thinking.

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.

To ensure reflective practice is more than an activity added to our schedule, we need to take a reflective stance. Too often, reflection becomes the thing we do at the end of a task or the end of the day. We look back and contemplate what was, and with that in mind, we look forward to what we might do differently next time. It is in this way a very reactionary process. By all means, this form of reflection has its place, and it can be a powerful strategy to deploy as we seek to learn from experience. If we value reflective practice, we will be sure to set aside time for this form of reflection on a routine basis. By engaging in reflection habitually, we ensure that it is a routine part of our day. But adopting a reflective stance can make this more powerful.

When we approach this task with key questions in mind, we focus our thinking on how we might plan learning experiences and opportunities that will have the impact we desire.

The PZ Sydney Network has achieved many of its goals in the past five years. Most importantly the network has been able to provide high-quality professional development to many educators through free events large and small and both face-to-face and online. The PZ Sydney Network has been able to expand its reach and in recognition of this is transforming to become the PZ Australia Network.

I had the pleasure recently of listening to Michael Fullan thanks to ACEL (Australian Council for Educational Leaders). Like many thought leaders who are looking closely at the current state of education, Michael builds a strong case for radical change in education.

What place does documentation play in our learning environments? What roles might it play?

These two powerful questions framed a recent webinar presented by Professor David Perkins of Harvard Graduate School of Education's Project Zero. Answering these questions and helping teachers find meaningful and contextually relevant answers to these questions has been a focus of Perkins' work, especially in recent times. His book "Future Wise: Educating Our Children for a Changing World" introduced us to the notion of lifeworthy learning or that which is "likely to matter in the lives our learners are likely to live". This is a powerful notion and one that has the potential to change not only what we teach but also how we go about teaching what we do.

One of the key ways by which we make sense of our world is by analysing the stories that we and others use to describe it. These stories are a construct of our experiences, our beliefs, our cultural perspectives and the interactions between these things. Even when the context in which the story is set is the same, the details and nature of the story that particular individuals or collective share can differ vastly. Only by listening to each story with empathy and genuine desire to understand each individual's telling of this story do we develop true insights. Making sense of the stories of education should be a key process for all educators.

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.

Recently I have been contemplating how we might define inquiry. Like many terms in education, it is often used in multiple contexts and has a range of meanings attached to it. Coming to agreement on what inquiry is, requires negotiating seemingly divergent understandings. If we are to avoid oversimplifications and dichotomous thinking, we need to explore these multiple perspectives and find a balance point.