Here's the question Jo posed...
The 'How do you see this shape growing' is of course the growth-mindset question as it is open ended, there are multiple answers, multiple entry points for students and there are different ways of looking at the problem (which I personally didn't see at first).
The 'How to Learn Math' course has made me more aware of the types of questions and tasks I give out in class and that I should be trying to make tasks as open ended as possible in order to instill a more growth-mindset in my students, allowing them to learn from their mistakes rather than just going through the methods learnt etc.
So, whilst I was in Ikea with @kutrahmoore (we were looking for a few bits for our new flat, exciting times!) she came across some beads that she apparently wanted to get elsewhere but were too expensive. I had no idea what they were or what she wanted them for but she said she'd explain when we got home.
Here's the pot (£5)...
Here's what I created...
(@kutrahmoore) said I should have ironed both sides. The side shown is the non-ironed side as I liked how the individual beads are easier to see here (and count). If I'd have ironed both sides you lose a bit of the definition between beads (as they all melt into one).
kutrahmoore gave it a go too...
We then got thinking and thought that these would be a great thing to do in a 'Creative Maths Club' that could be run after school for students to attend. They could take their created patterns home after, or even better, be used in other classes by other students - all created by the students. I've also thought about making some ratio bracelets too to use in class, all I'll need for this is some wire and to thread the beads onto these in different ratios!
Other ideas for a 'Creative Maths Club':
Origami numbers (I recently found an App on the iPhone that gives you instructions for making numbers from origami (folding paper)).
Angry Bird Nets
Polydron 3D shapes
Making Math board games
Darts! (there's a blog post coming soon about this)
+ plenty more
Get some 'picture beads', and the like, by going to Ikea http://www.ikea.com/gb/en/search/?query=pyssla or any other good arts and crafts store!