I asked my group of nearly fifty pre-service teachers to each tell me five things that they noticed, and one thing that they wondered. ‘Noticing and Wonderings’ from my students It’s worth taking the ~15 minutes to watch.) ( Dan Finkel, creator of the game Prime Climb, talks about this image in his wonderful TED talk, ‘ Five Principles of Extraordinary Math Teaching‘. Take a moment and brainstorm for yourself. This hundreds chart compels us to notice and wonder. A version is below you can buy this image on a stunning poster here. To be quite honest, I’ve never played! But that hasn’t stopped me appreciating the gorgeous hundreds chart that accompanies the game. Prime Climb is a beautiful board game in which players deepen their understanding of arithmetic through gameplay. Note: although this looks like a long post, the first 200 words are an introduction the last 1500 words are a summary of student ideas. Update 6 August 2017: This post describes another way to incorporate ‘Notice and Wonder’ with the Prime Climb hundreds chart. I’ll now tell you about the consolidating task in which I had students tell me what they notice and wonder about an image bursting with mathematical ideas. (The photos and reflections were so much fun to look through!) Next, we transferred our ‘Notice and Wonder’ skills to more mathematical settings, including one of Dan Meyer’s Three-Act Maths Tasks, Toothpicks. The students later took their own photos and identified the mathematical ideas that they saw. We’ve used it for sense making. We’ve then looked at photos from the world around us and brainstormed what we noticed and wondered. This is the final post detailing how I introduced ‘Notice and Wonder’ to my pre-service teachers. This is the sixth in a series of posts about my course ‘Developing Mathematical Thinking’, a maths content elective for pre-service teachers training in primary and middle maths. All posts in the series are here.

List prime numbers to 100