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

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.

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.

An important part of the role of any educator is that of planning learning sequences. Perhaps you are tasked with designing curriculum or more likely you are translating a mandatory curriculum into workable units of learning. The task is complex and there are multiple arrangements. The goal is to design units that connect students with learning in ways that are meaningful and relevant. A well-designed unit of learning fits seamlessly alongside other learning opportunities and the overall sequence of learning should match the learners developing expertise. As we plan units of learning we must consider a great variety of factors which impact the learning we design. Our knowledge of our students and where they are with their learning is crucial and a strong place to start. We also need to know what it is we are required to teach and have a grab bag of pedagogical moves that bring this content alive.

Number Talks are a wonderful way to see where our students are with their mathematical thinking. As a part of a daily routine, a Number Talk promotes number sense and mathematical reasoning. In this post, I revisit what a Number Talk can reveal about our students' understanding of mathematics, and how they might be used to promote a fresh perspective. In addition, I examine a success criteria for Number Talks that is more expansive and recognises their true power.

As schools and organisations move to remote education, there are potential gaps in our professional learning of which we should be aware. While many of us are discovering fresh opportunities for online and remote professional learning through podcasts, webinars and online courses, one of the most significant aspects of our professional learning has been curtailed thanks to social distancing.

Perhaps the disruption of a global pandemic will prompt a rethinking of how education might be framed to best serve the needs of those who rely on it most? Perhaps now is the time to rethink the curriculum?

"[I]t can be a challenge to incorporate social media into lessons. There are many gray areas for teachers to navigate, like setting guidelines, accessibility at school, and student safety. But to help teachers navigate this ever-changing landscape of social media tools, here are some of the best guides on the web for four popular networks, Facebook, Instagram, Twitter, and Pinterest" (¶2, 2015.02.23).

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.

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"Posted by Peter Skillen on Nov 30, 2012 in The How of 21st Century Teaching, Peter Skillen writes, How CAN we help our students be the kind of thinkers we want? Several years ago, my friend and colleague, @brendasherry, wrote a thoughtful post called "What is Deep Understanding?" She asked several excellent questions: what kind of thinkers do we want our students to be? what is deep understanding? can schools really provide the learning environment to nurture and develop it? In thinking about these questions, I would like to also ask: "How can we help novice learners become more expert learners?"

Peter Skillen explores ideas about developing deep understading in students.

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

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Praise and Feedback occupy significant spaces in the lives of our learners. It should not be surprising then that the language we use to communicate praise and feedback can enhance or hinder our efforts.

Walk into any McDonald's, anywhere in the world, and you know where you are and what to expect. For the homesick traveller, the consistency of McDonald's' design aesthetic is comforting. You know how this is going to work, you understand what to do, and you know what you are likely to get. McDonald's requires minimal cognitive load on the customer's behalf.

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?