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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. 

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what if our expertise is imagined or false. What if what we think is so, just ain't so. This might be more common than we care to admit, and it is worth considering the source of this difficulty and its implications. 

"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.

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?

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.

There are some ideas which seem to translate nicely into fields of thought far from their point of origin. These are  ideas which shine a metaphorical light on concepts and allow us to develop a deeper understanding of that concept once we see it from a fresh perspective. Schrödinger's Cat is one such idea.

What makes a team truly great? What are the qualities which allow some teams to perform at a high level while others seem trapped? One approach to this question is to consider a team as though they were a meal. Thinking metaphorically, we ask what are the ingredients that make a great team and how might we combine them to produce the best results?

The winner of 'Satta Matka' happens to be the person who guesses the correct number and is thereafter rewarded with a pre-determined amount of money. 'Kalyan and 'Worli' are the two most commonly organised 'Satta Matki' lotteries.

We ask lots of questions as we plan for our student's learning. Some of the questions we ask are about where they are with their learning. But perhaps we miss one important question along the way. Maybe we should be asking questions about how our students will apply what they learn? 

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This traditional pedagogy results in students developing a negative attitude towards mathematics. Many develop a mathematical phobia and believe that they are not a "maths person". When confronted by challenging mathematics they retreat and have no or only poor strategies with which to approach new ideas. This all leads to a decline in the number of students pursuing mathematical learning beyond the years where it is compulsory. Fortunately there is a growing body of research that shows there is a better way. 

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. 

How we see ourselves, how we describe ourselves reveals a great deal about how we see 'others'. In May of this year, speaking to the audience of the International Conference on Thinking, Bruno Della Chiesa invited us to consider how we might approach the question of "who we are?". In responding to such a question, what list of affiliations do we invoke to define ourselves?

This unavoidable and irreducible complexity means that schools are challenging place to study, to understand and to manage change within. Even for the teacher who spends everyday inside the school there is so much going on that unguided observations and the plans based upon them come with no guarantee of success. - We need a lens and a lever to manage this complexity. -  Such a lens is offered by the 'cultural forces'.

We are driven by curiosity. It is an innately human quality that has driven us to explore, ask questions, investigate, wonder why and search for a deeper understanding. In a very fundamental way curiosity is the driver of all self-directed learning. It is our desire to find out more, unlock new knowledge and answer our questions (big ones and little ones) that compels us to learn. Sir Ken Robinson famously and provocatively asked "Do Schools Kill Creativity?". The same question might be asked about curiosity.

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. 

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. 

The message is now unpacked for the class. The jar represents our lives, and the challenge is to decide what we will fill our lives with. The large rocks represent those things which matter most in our lives. The gravel and sand the small things which occupy our time and keep us from what matters most. - How might this help us focus on what matters for our learners?