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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 are young, we are naturally curious. We ask many, many questions. As we encounter the world, our consciousness is bombarded by a plethora of opportunities for curiosity. And at this early stage of exploring and discovering the world we inhabit, there is no filter between our sense of curiosity and our expression of our it. If we are curious, we will be asking questions and heaven help anyone close enough to be a potential source of answers. - At school, our relationship to both curiosity and inquiry changes.

The bushfire crisis that is currently impacting Australia is beyond devastating. The scale of these fires defies the imagination. For so long now we have lived with skies laden with smoke as a constant and inescapable reminder that this is not an ordinary summer. This is weather and drought at its most extreme. Our only salvation will be rain but this is not the season for that and the long term forecasts are not promising. Our young people, in particular, will be affected and will need special care in the weeks and months to come. What might this mean for schools and for student agency?

With summer in the southern hemisphere, long days combined with school holidays for school teachers create the perfect opportunity to relax with a good book. Here are five great reads that might spark some curiosity and keep the brain working over the break.

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. 

We are driven by curiosity. It is an innately human quality that has driven us to explore, ask questions, investigate, wonder why and search for a deeper understanding. In a very fundamental way curiosity is the driver of all self-directed learning. It is our desire to find out more, unlock new knowledge and answer our questions (big ones and little ones) that compels us to learn. Sir Ken Robinson famously and provocatively asked "Do Schools Kill Creativity?". The same question might be asked about curiosity.

If you're a faculty member, you've spent the last few weeks preparing your syllabus for the spring semester. You've updated the document and added a little to it. This latest round of edits may have pushed your syllabus another page longer - most now run about five pages, though nearly every campus has lore of some that exceed 20. Lamentations about syllabus bloat started emerging about seven years ago in moods ranging from nostalgia to bemusement to curiosity to irritation to full-blown ideological critique. Based on 20 years of serving on curriculum committees and working with academics across the disciplines on teaching, I agree that, yes, the typical syllabus has now become a too-long list of policies, learning outcomes, grading formulas, defensive maneuvers, recommendations, cautions, and referrals. As a writing-center director who has encouraged instructors to add a pitch for tutoring services, I'm complicit.

"Children's personalities may influence how they perform in maths and reading, according to a study by psychology researchers at The University of Texas at Austin. Proficiency in reading and maths is associated with a complex system of skills, some of which derive from personality traits. In a study published in the Journal of Personality and Social Psychology, researchers found that characteristics related to openness, such as intellectual curiosity and confidence, made children more adept to take on maths and reading than characteristics describing conscientiousness, such as diligence and perseverance."

"High prior attainers. Gifted and talented. High Achievers. The students that are aiming for the very top grades at GCSE, that we're all determined to keep at A level for our subject. We put on trips. We run extracurricular clubs. We bring out the "Challenge Questions". We create peer mentoring. But one thing we often neglect is developing their sense of curiosity in our subject, developing that sense of wonder and awe for the best little bits, that need to actually just know how/ why/where/what is going on with this little bit of your subject."

"Of course, I have always held the opinion that we are all still scientists in our own unique manner.  In light of that, I have chosen to write about how I think on this blog post.  There are two main types of blog posts on this site to 'demystify the life of a scientist'.  The first deals with large numbers or various statistics reported in the popular news with no real context provided."

"How many times do you hear a pupil fishing for the answer to the question you have just asked? How many hands go up to say, "Sir, I am Stuck!" and "Sir I can't do this!", or similar."

"Great classroom displays not only looks creative but will increase engagement and influence learning in a child-friendly environment encapsulating children's curiosity."

Despite your best efforts, your entire class seems to start experiencing a huge decline in motivation. What started out well, as you watched your students' curiosities be heightened, now feels like an attempt to lift something well beyond your capacity. You're experiencing "the dip," and it is a common occurrence. You may very well not have done anything wrong, to cause this to happen. However, there are plenty of strategies you can use to bring the motivation back in a course.

As technology evolves and its inner workings increasingly disappear from view, replaced with solid-state parts hidden by glass, aluminium and plastic, our understanding of what makes the world operate is similarly impeded. When machinery from just a few decades ago is viewed a world of moving parts, linkages, cogs and levers is revealed. These mechanical objects contain an inherent beauty and inspire curiosity in ways that modern devices with their pristine surfaces and simplified design language do not. Opportunities to explore devices from the past open our eyes and lead us to new questions of how our devices function, how machines do the jobs we need them to do and how engineers solve problems.

Curiosity Prepares the Braining for Learning https://t.co/akZRq39R18

Curiosity Prepares the Braining for Learning https://t.co/akZRq39R18

We've written a book for teachers who are tired of teaching to the test and want to get access to their students' creative potential. It's a writing book that is actually meant to be read; it's a pedagogy based on how we come to know the world and how we learn to confront the unknown. Available for free 7 day download at Amazon. We're having a book launch party at the MLA16 in Austin, Jan 9, 10AM Bedford Booth. Come talk about creativity and curiosity with us. Book launch at the upcoming #MLA16 in Austin