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Our language choices communicate both intended and unintended messages. In the choices we make, in the subtlety of these choices, lies a truth more powerful than that conveyed by a literal reading of our words. When we look closely and critically at our use of language, we begin to see particular patterns which reveal much about what we genuinely value and expect from our learners. 

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

Powerful learning begins with the perfect provocation. Creating, refining and skilfully presenting the perfect provocation is an essential capability for teachers hoping to engage their class in rich dialogue. Claims that the percentage of students engaged by their learning declines from 75 percent in fifth grade to 32 percent by eleventh grade suggests a need for a more provocative environment. 

James Tanton shattered my understanding of the vertical algorithm. More than that, he helped me to see how poorly I understood place value and that many of my students function with the same misunderstanding. What made the experience more humbling was that it took him less than two minutes to do this.

For teachers in Australia, the long Term Three is drawing rapidly to a close. Indeed as I write this just ten days remain before a two-week break. This is the perfect time to consider a holiday reading list. Just enough time to raid the school library or place an order with your favourite book store. Here is what's currently occupying space on my nightstand. 

Adults love to ask "What if...?" questions too. It is a model that can be a catalyst for change when used in the right way and when combined with some other questions. 

At some point, we will need to pause. Lift our heads up and survey the scenery in this new world. Then, let us hope that we ask the right questions. Making time and space for a moment of pause and reflection will be crucial if it becomes clear that this is more than a brief fling with online learning.

With many schools moving to online learning around the world I wanted to share a resource that might be of support.

With the emerging threat of COVID19 and the closure of schools, teachers are scrambling to move to online learning environments. This will bring with it a myriad of challenges the short time frame is not going to help the situation. While we are fortunate that there are many technological solutions for the provision of remote learning, the more significant challenges will revolve around how we interact with our learners.

In "Factfulness", Hans Rosling shares a valuable insight into why we must question our assumptions. In times when we are bombarded with information, when false claims abound, having a disposition towards scepticism seems vital. Rosling urges us to not only question the facts we are presented with but the internal biases which influence how we interpret these facts.

In this time of COVID19 and remote learning or emergency distance learning the value of encouraging students to investigate their questions should not be forgotten.

The consistent message is that we are preparing our students for success in a world very different to that which was the norm only a short time ago. The implications of this change are immense and require a shift in our thinking about what matters most in our classrooms. Such is the pace of change that within any school there will be multiple generations who normalise different perspective on technology and its place in their lives. What becomes clear that the skills we most need within our schools at every level are those which are critical for individuals to be empowered, self-navigating learners. But what does this mean in practical terms?

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?

One of the great joys and best strategies for expanding your understanding is to engage with a great book. Fortunately the options available today are immense and electronic options and audio books make access easy and possible wherever you may be. Here is a short list of what I have been reading lately with some brief reflections. 

Play is a vital tool for learning. It should be vital part of every child's learning; the norm rather than the exception and we leave it behind as we become adults to our own peril. 

The difficulty with creativity is it is not easy and perhaps thanks to our experience of schooling not a natural attribute of many adults. What creativity needs is a process and/or a structure that allows us to bring our intellect to the development of creative solutions.

Recently I have been diving into the world of Assessment, seeking to better understand how we might design effective processes around this essential phase of the learning cycle. In doing so I have found a wealth of resources and quality reads that offer insights and strategies to be applied into our classrooms. Here then is a sampling of what I have been reading. 

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.

In our busy and highly connected lives it can be difficult to find time to slow down, to deliberately and mindfully engage in reflective contemplation. Taking the time to do so can be significant for success, creativity, mental well-being and learning and yet we seem to struggle to commit time to this valuable practice. Schools, in particular seem to offer little time for students to slow down and think, and with the busy lives students lead such time is often entirely absent.

Understanding how mobile, global and virtual social networks influence our interpretation of socio-cultural theories of learning might allow us to better understand the interplay of settings and contexts within which learning occurs and in doing so better understand how learning may be facilitated.