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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?

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. 

One of the thinking moves that we hope our students will confidently engage with is centred around the disposition of uncovering complexity. As we endeavour to shift our students towards a deeper understanding, the capacity to uncover complexity is a vital step. However, the ability to uncover complexity is itself complex and an excellent example of a skill that is best achieved when considered as a disposition. 

This week I joined with teachers, students, researchers and policy writers at Melbourne University to discuss student voice. This conference was hosted by Social Education Victoria and made possible by the conference partners, The University of Melbourne, Education and Training Victoria, Foundation for Young Australians and Connect. Over three days, participants engaged in rigorous dialogue about the significance of student voice and what is required to ensure its benefits are maximised for all.

To ensure reflective practice is more than an activity added to our schedule, we need to take a reflective stance. Too often, reflection becomes the thing we do at the end of a task or the end of the day. We look back and contemplate what was, and with that in mind, we look forward to what we might do differently next time. It is in this way a very reactionary process. By all means, this form of reflection has its place, and it can be a powerful strategy to deploy as we seek to learn from experience. If we value reflective practice, we will be sure to set aside time for this form of reflection on a routine basis. By engaging in reflection habitually, we ensure that it is a routine part of our day. But adopting a reflective stance can make this more powerful.

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?

With our goal of deep-learning in mind where do we begin and what learning opportunities might result in this? Having clarified our key terms of understanding, learning and deep, we can turn to a set of questions which might be of use as we plan the learning our students will engage in along their way.

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.

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Working on assignments is the toughest task that students have to go through during their academic life. With so many things going on, completing an assignment on time and doing a great job is not easy; many students end up losing interest as they are so stressed that they fail to realize how significant these assignments could be for them and how to help them succeed in class. With so much happening in their academic as well as personal life, students are busy and they even have trouble making

2 questions about student engagement and ICT - your feedback would be much appreciated.

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In the constructivist-learning model, engagement and experience combine with immersive environments and self-organisation of knowledge to establish a context in which learning occurs naturally. Constructivism has since the time of Dewey become closely affiliated with Project Based Learning and yet despite years of efforts to refine the process the result does not always match the promise. Design thinking might be the answer.