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Traditional methods of teaching maths have more in common with how we programme a computer that what we might do if we wanted to engage our students in mathematical thinking. We shouldn't be overly surprised then when our students consider mathematics to be all about learning a set of rules that they need to apply in the right order so as to output the correct response. But is there a better way?

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. 

Understanding the "Why" of any initiative should be a key step prior to implementation. Without a clear understanding of our "Why" how are we to judge the success of what we are implementing. How will we know which steps take us in the right direction if we have no concept of why we are journeying. In our implementation of ICT (Information & Communication Technologies) and now Digital Technologies, a lack of clarity on the matter of "Why" has often been the most significant challenge to success. 

Last week I spent three days thinking about curriculum and all that it means to teaching and learning thanks to the Australian Curriculum Studies Association's biannual conference. It was three days of deeply thoughtful conversation and learning with just the right mix of academic research and ideas for grounded practice straight out of innovative classrooms and schools. With keynotes by Alan Reid, Dan Haesler, Bob Lingard, Robert Randall and Jan Owen combined with Masterclasses from some of Australia's leading educators there was much on offer. The biggest challenge was deciding which workshop you would attend when every session offered such outstanding opportunities.

There is a great deal that I like about this description of humanity at its best from Ryan & Deci. It is both a goal to be achieved and an indicator of conditions which are required for us to fulfil our potential. While the focus of this statement is on the actions of the individual we can see how society might act to deny individuals the opportunities to lead such an inspired and agentic life. I like to imagine what a school might be like if every individual who plays a part in its functioning strove to extend themselves, master new skills and apply their talents responsibly.  Maybe schools would be like the 'learning organisations' described by Peter Senge. 

 If the young people of today are to thrive beyond the walls of the classroom they will need to be able to cope with a world characterised by volatility, uncertainty, complexity and ambiguity. The children of todays Kindergarten will enter the workplace in the fourth-decade of the 21st Century. We debate the merits of teaching 21st Century Skills and what they might be while teaching children who have lived their entire lives in that very century. The challenge is how will schools and individual teachers respond to this drive for urgent change.

How might we prepare our students for an unknown future? If we accept that we are living in times of rapid change and that the world our children will inhabit is likely to be very different from the world of today, or perhaps more importantly, different from the work our current education system was designed to serve, what should we do to ensure our children are able to thrive?

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?

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?

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.

Last week I decided that a good home cooked meal was in order. Lacking inspiration it turned to a recipe book I had been gifted the previous Christmas and found what appeared to be a tasty and nutritious option. I read on with enthusiasm and was soon imaging myself dining on this wholesome meal. If the end result looked half as good as the glossy picture that accompanied the recipe, I would be in luck.

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.

How To Create Your Own Cryptocurrency: In the cryptocurrency market, you can be not only a trader or holder but also the owner of your coin. The chance of making a profit is not very great, but many interesting tasks are easier to solve if you have the author's currency. We will tell you how to issue your cryptocurrency, what problems you will face, and how to solve them.

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