On Problem solving: Knowing what to ‘see’, when we can’t at first
I am writing this blog after the Maths Scholars Resources Workshop that took place nearly a week ago, at the National Stem Centre, University of York.
Having encountered the amazing world of the interlocking cube during the first session, it was time to explore some problem-solving resources presented by Michael Anderson from the National STEM Learning Centre. We reflected and appreciated different ways of ‘seeing’, for 45 mins.
The session focussed on the meaning of problem solving, how to teach problem solving skills and most significantly how we could use and adapt a variety of existing resources to encourage problem solving in our students whatever their ability.
Further on we looked at the requirements of the 9-1 GCSEs and what this means for maths teachers in terms of their responsibility for nurturing and challenging students to not only appreciate the richness and beauty of mathematics but produce confident learners ready for the world of work. I use the word ‘produce’ with care.
We took some tried and tested resources and ideas, ready to use in our maths classrooms.
One of many resources on problem solving included this one from Ed Southhall @solvemymaths
![](data:image/png;base64,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)
How many dots? What was your counting Strategy?
Can you find another way of seeing and counting the dots? And another? And another? How quickly can you notice the different ways of seeing?
Would there be benefits in trying to ‘see’ in pairs or in groups big or small? Is it okay to make mistakes and try again?
Conclusion:
Have you ever compared and contrasted a GCSE question against a Core maths (new qualification) question? The differences are VERY interesting. The Core maths questions in my opinion seem to offer more opportunity for deep thinking and exploring problem solving from different vantage points. The focus being not on always obtaining the right answer but the process skills, confidence and resilience involved in tackling the question and being able to take calculated risks. Isn’t that how we should teach our learners? Every learner-young and old?
By Imogene Bongjoh-West