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"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.

A common question is how do we facilitate the development of independent, self-regulating learners. With an increased focus on the development of dispositional models for learning where the skills and mindset of the learner are crucial, how do we ensure that our learners move from requiring external regulation to a model of internal regulation?  

I am currently reading "Thank you for being late: An optimist's guide to thriving in the age of accelerations" and have found in this the answer to these questions. In essence we are confronting two types of change, one that we have always faced and one that is unique to our current times. 

Recently I left the cold and dark of a Sydney winter and journeyed north to the warmer climate of Fiji. A jewel dropped in the warm waters of the Pacific, Fiji is a popular holiday destination for those looking for a tropical escape. This trip was very different from the norm. There would be no resorts, no five-star dining and my company was to be a group of 24 Year Nine students. It was to be a journey full of learning and insights into the challenges facing education. 

The debate over the most effective method of instruction continues as ever and where one stands on the topic is largely influenced by the purposes one attaches to education. Analysing a series of research articles reveals the nature of the debate between advocates of direct instruction compared to those who support a problem based learning methodology.

What might it take to ensure students choose to be in our courses because the value of the learning achieved through mindful attendance is such that they would not want to be anywhere else?

This week I spent three days in Brisbane attending the Australian Association of Mathematics Teachers' national conference. The theme of the conference was "Why Maths?" and along with 500 other mathematicians, we looked to find inspiring answers to this provocative question beyond the classroom. Here are my key takeaways from this event. 

It is almost precisely eighteen years since Donald Rumsfeld uttered his now well-regarded commentary on the danger of "unknown unknowns". At the time his remarks brought more confusion than clarity and reinforced for many a belief that politicians use words to conceal the truth. Somehow though, Donald's words from 2002 seem to fit the world of today, and the challenges confronting educators all too well.

A recent strategy to alter the negative image that homework has built is to re-brand it as "home learning". But is this enough and if we are going to "get it right" what do we need to change besides the name?

In the final weeks of 2017 a new Science & Technology Curriculum for Kindergarten to Year Six slipped into the schools of New South Wales. What does this new curriculum bring and what does it reveal about the nature of learning as we approach the year 2020?

n practical terms, any change effort that does not consider the culture into which it is introduced is unlikely to succeed. The worst-case scenario is that the change effort is resisted to such a degree that it is never truly implemented. In many cases, however, the change effort fails to produce the sort of results initially imagined despite the efforts of all involved to adopt the change. Although the new behaviours are adopted, something goes wrong, and it isn't always that the new idea itself is to be blamed. - Maybe it's culture?

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.

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