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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.

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.

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?

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.

A good place to start in our efforts to shift the impact that our language choices have is with a focus on the language of thinking. If we believe that all learning is a consequence of thinking, it is natural to select language moves that encourage this from our learners.

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.

Our beliefs about mathematics play a significant role in how we approach learning within the discipline. These beliefs are established by the nature of our early engagement with mathematics and are difficult to change once established. For many people mathematics is viewed as a subject that is not for them. Indeed the situation is so bad that many people will say that they are not a maths person and approach mathematics with fear and anxiety. 

Two resources that might appeal to educators pondering the future.

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