Group items tagged

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. 

In the post-truth era, does the capacity to utilise knowledge prepare one adequately to do battle against falsehood? When those selling untruths know the falsehood of their stories, does the bright light of truth shine through? Perhaps not.

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. 

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 live in a time of chaos, complexity and contradiction. (Sardar, 2010 [1]) Where rapid changes and transformations through technology, politics, globalisation and the climate, conspire against normality (Friedman, 2016 [2]) These times demand a fresh approach to education, one that provides learners with the thinking dispositions they need to turn challenges into opportunities, to connect their learning to their passions and emerge from their years of formal education as self-navigating life-long learners. 

James Tanton shattered my understanding of the vertical algorithm. More than that, he helped me to see how poorly I understood place value and that many of my students function with the same misunderstanding. What made the experience more humbling was that it took him less than two minutes to do this.

For teachers in Australia, the long Term Three is drawing rapidly to a close. Indeed as I write this just ten days remain before a two-week break. This is the perfect time to consider a holiday reading list. Just enough time to raid the school library or place an order with your favourite book store. Here is what's currently occupying space on my nightstand. 

I have just had the opportunity to spend the weekend learning alongside a large group of mathematics teachers. After a day and a half of talking and thinking about mathematics teaching, I am excited to get back to school and try out some new ideas. There were also some key takeaways for me that I share below. These are the questions or wonderings that my mind wandered to while listening to the numerous talented speakers over the past two days.

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. 

All learning is a consequence of thinking. I have these words printed and posted on the wall above my desk. It is a reminder of what I believe is a vital understanding. The consequences of this one statement are quite profound. They fundamentally shape what I do as an educator and the experiences I hope to create for my learners.

At some point, we will need to pause. Lift our heads up and survey the scenery in this new world. Then, let us hope that we ask the right questions. Making time and space for a moment of pause and reflection will be crucial if it becomes clear that this is more than a brief fling with online learning.

With many schools moving to online learning around the world I wanted to share a resource that might be of support.

It seems that thanks to COVID19, educators, parents and students are in a rush. It seems the rush started moments after the decision was made to promote social distancing by offering remote learning. From quality learning in classrooms focused on deep learning we shifted into top gear. Packets of work were prepared, online tools rapidly expanded, new options for content delivery were examined and quickly deployed. We wanted to make sure that our students would be kept busy. Parents wanted their children to be busy. - Maybe slow looking is the solution?

It is almost precisely eighteen years since Donald Rumsfeld uttered his now well-regarded commentary on the danger of "unknown unknowns". At the time his remarks brought more confusion than clarity and reinforced for many a belief that politicians use words to conceal the truth. Somehow though, Donald's words from 2002 seem to fit the world of today, and the challenges confronting educators all too well.

It is tempting to make predictions of the skills that our students will need beyond their time at school. Such wondering can be a useful guide as we contemplate what we shall focus on with our curriculum. Unsurprisingly, there is no shortage of predictions for future skillsets published by educators, economists and analysts. What might we learn from such lists, and how should education systems respond?

It's interesting how threads emerge from the books we read. An idea springs out at you from one book and then occurs again in another or a link is found between the two. When it turns up a third time in a different place and from an alternate perspective you really take notice. I have had this experience with the concept of emotional or psychological safety.

With the emerging threat of COVID19 and the closure of schools, teachers are scrambling to move to online learning environments. This will bring with it a myriad of challenges the short time frame is not going to help the situation. While we are fortunate that there are many technological solutions for the provision of remote learning, the more significant challenges will revolve around how we interact with our learners.

COVID19 has taken the rule book on change, torn it into small pieces and thrown most of it out the window. What might this mean for education?