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Why might it be that our students struggle with independence? Maybe it comes from the language moves we make. As with the language of thinking, being deliberate with our choices can help us to create a classroom culture where students demonstrate independence and initiative.

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?

Not all learning is created equal. Sometimes the learning that we achieve and the success generated through our engagement with a learning opportunity is spectacular. At its very best, our learning unlocks fresh understandings for ourselves and sometimes even for others. What conditions allow for such spectacular learning, and how might we bring these conditions into our classrooms?

"Algodoo gives you the opportunity to play with physics. Use your own hands and simple drawing tools to design, construct and explore the world of physics."

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 is an understandable interest in deep-learning, after all, who wants their students to have a superficial understanding of the content. Read the marketing of almost any school and you are likely to find some statement about the deep-learning that is achieved as a result of their excellent teaching and learning platform. Likewise, ask any teach about their philosophy of teaching and you will hear how they engage their students with learning that promotes a deep-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?  

The landing of the Perseverance rover on Mars is an excellent catalyst for a discussion with students about the nature of Mathematics. It is a chance to inspire curiosity and wonderment and to do so through a mathematical lens.

When we approach this task with key questions in mind, we focus our thinking on how we might plan learning experiences and opportunities that will have the impact we desire.

What changes when we refer to ourselves or our students as members of the community of thinkers and learners that they are apprenticed to? What changes when we are mindful in our use of a language of identity?

huge list of google stuff, absolutely amazing

Could some or all of this work online to build engagement? 1) close reading 2) engage with objects 3) attention through assessments

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. 

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. 

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. 

For schools in Australia and many parts of the world, we are heading towards the end of another school term and year. That means report writing season. For the next few weeks, teachers across the country will be huddled in front of computer screens, writing reflections on the progress their learners have made. Mark books will be opened, assessments consulted, work samples will be reviewed. All so that in the first week of the long Summer vacation students can sit and read their report and make plans for how they will enhance their learning in the coming year.

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?