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From Dept of Ed & Child Development, SA. "We have thought deeply about what we value for our students' learning, how this is represented in the learning areas through the essence, and how this essence helps us work with all the components of the learning area. In this section we work with our colleagues using the BitL tool to ensure our pedagogy brings the essence of the learning areas to life in the classroom. It helps us engage our learners as scientists, as mathematicians, as historians, and as great communicators - so that they not only know about the important understandings and develop the skills within each learning area, but can bring this understanding to bear in their everyday contexts in powerful ways."

Lure of the Labyrinth is a digital game for middle-school pre-algebra students. It includes a wealth of intriguing math-based puzzles wrapped into an exciting narrative game in which students work to find their lost pet - and save the world from monsters! Linked to both national and state mathematics standards, the game gives students a chance to actually think like mathematicians.

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?

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

At the heart of mathematics are a set of connected thinking dispositions. The mathematician uses these dispositions as the cognitive tools of their trade. While the traditional imagining of mathematics might be all about the accurate application of well-rehearsed algorithms and processes, in the real world of mathematics, it is all about the thinking. As we consider what our students need from their mathematical education, we should not overlook the importance of these dispositions. 

"While some education conferences are genuinely inspiring, others serve mostly to demonstrate how even intelligent educators can be remarkably credulous, nodding agreeably at descriptions of programs that ought to elicit fury or laughter, avidly copying down hollow phrases from a consultant's PowerPoint presentation, awed by anything that's borrowed from the business world or involves digital technology. Many companies and consultants thrive on this credulity, and also on teachers' isolation, fatalism, and fear (of demands by clueless officials to raise test scores at any cost). With a good dose of critical thinking and courage, a willingness to say "This is bad for kids and we won't have any part of it," we could drive these outfits out of business -- and begin to take back our schools."