by Steve Hoggins

I had a breakthrough with one of my pupils this week, all initiated by a great learning support mentor who has also helped with our Young Philosophers group (a termly meet up of children from across Lewisham who are good at philosophy, and who don’t normally get these opportunities. The aim of the group is to inspire children, raise attainment, and also for us to keep in contact with children who would benefit from extra support).

Our class had a new arrival last term, an extremely quiet pupil who wasn’t making friends and refused to speak in philosophy. The quiet pupil was assigned a learning mentor after the first few weeks and a couple of weeks after the learning mentor approached me to say that this pupil had been talking about philosophy in their one-to-one lessons.

Question: How do you introduce new concepts in Maths?
One Answer: You demonstrate and explore them in a concrete way, then get students to represent the concept pictorially, then record it numerically – from the concrete to the abstract, in other words. So if you were introducing fractions, you’d get students to cut up a cake, then draw or arrange pictures of cakes cut up, then use digits to record the process.
That all makes sense to me, and apparently it’s the main principle behind Singapore Maths, the curriculum and methods that started in Singapore and have been followed by schools around the world attracted by the country’s performance in Maths teaching.