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With the Christmas Holiday's finally here this is the perfect opportunity to catch up on some of that reading which has been delayed while more pressing matters are dealt with. Here are the top items on my holiday reading list. With a project underway that explores a conceptual based approach to teaching mathematics there is a bias in that direction. 

Teaching is undoubtedly a busy profession and one where the end of the to do list seems to be forever located in a galaxy far far away. There is always more to be done and as each item on the list is ticked off, three, four or more seem to have appeared. If we ever do get close to the end, we find ourselves reflecting on what we have achieved and the many ways in which it might be improved. 

"Number Talks" is an approach to the teaching and learning of Number Sense. Rather than relying on the rote-memorisation of isolated number facts achieved through drills of "table-facts", Number Talks aim to build confident, number fluency, where learners recognise patterns within and between numbers and understand the properties of numbers and operations. Number Talks are a "mind on" learning task that engages students in an active learning process as they search for patterns, decompose and recompose numbers and develop a flexible understanding.

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.

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.

Education exists in an uneasy domain and the teaching professional is forced to navigate between a multitude of conflicting tensions. Our education systems are dominated by abundance of voices all shouting for attention and offering a solution to the problems they have diagnosed. Each individual claims expertise and insights gained from years as a student is sufficient experience to allow one to speak with authority. - Educators need to find their voice. 

Sometimes, it seems the class you are teaching is more than you can cope with. The truth is all teachers face times like this. The sad part is that many good teachers decide that the best move for them in these times is to leave the profession; a trend we need to fix. 

Sometimes, it seems everyone who ever went to school is an expert on education and has a plan to make it better. Actual teaching experience, years of professional learning and formal training are all easily swept aside. The result is an ongoing dialog around what schools should do, what teachers need to do more of or less of and how the academic success of the nation is linked to strategy x or y.

Despite this being a 'thinking' conference, despite us all being advocates for structured and scaffolded models of thinking, not one group had applied any thinking routines, utilised a collaborative planning protocol or talked about applying an inquiry model or design thinking cycle. It wasn't that we didn't know about them. It wasn't that we don't know how to use them. It wasn't that we don't value them. We had all the knowledge we could desire on the how to and the why of a broad set of thinking tools and anyone of these would have enhanced the process, but we did not use any of them. Why was this the case and what does this reveal about our teaching of these methods to our students?

There are terms within education that we use with reckless abandon and as a result cause great levels of confusion. Understanding is one such word and its usage and our 'understanding' of it can have a significant effect on the learning we plan, deliver and assess. With multiple definitions and its broad usage in curriculum documents, philosophies of teaching and learning and as an indicator of the quality or depth of student learning it is a word we should better understand. 

Why do we have schools? Instead of answering this question by listing all the good things that schools provide, which anyone can do, I will turn the question around: What is bad about having schools?

Why do we have schools? Instead of answering this question by listing all the good things that schools provide, which anyone can do, I will turn the question around: What is bad about having schools?

Einstein is often quoted as having said "If I have an hour to solve a problem and my life depended on the solution, I would spend the first 55 minutes determining the proper question to ask, for once I know the proper question, I could solve the problem in less than five minutes." Clearly Einstein understood how to attack puzzling problems. As teachers we face a host of puzzles on a daily basis. Every student we teach, thanks to their idiosyncrasies presents a unique puzzle. The interactions between students further complicates things. Our goals for our learners, their learning needs, the demands of the curriculum, pressures from beyond the classroom all result in puzzles for us to manage and to solve.

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

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?

Today I had the pleasure of joining over three-hundred educators for a day of learning and sharing. That this was a Sunday and that the event was organised as a free event for educators by educators speaks volumes of the quality and care that educators bring to their role. 

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.

One of the more unfortunate buzzwords to appear in online education circles and the press is "flipping the classroom". .. The students watch the videos for homework, freeing up the lesson for interactivity, project work and so on. I not impressed with this brilliant "new" idea. Why not?

A toolkit  designed to provide innovative ideas and support for using interactive graphics for teaching and learning.

Included herein are teacher-tested ideas on how to save time without sacrificing the quality of your teaching.

I tend to agree with James here, but keupher also has a point worth considering. Teach students to be wise and safe in public, or keep things "safe" and private??