I would like to see more students coming to me at A-level who've not just been taught to the GCSE exam (In the longer term I'd like to see the Higher tier GCSE become more of a challenge, eg basic calculus, logarithms, and modelling data with simple general equations so they can see the useful application of these topics). More algebra is needed to enable students to solve more complex problems. Surely teaching them beyond the syllabus is also going to have the effect that grades improve as they then find the GCSE exam easy? I disagree that it's primarily a numeracy issue - I still struggle with recalling my 7 and 8 times tables and I have a PhD in Maths. Numeracy is less relevant at higher levels than the ability to solve problems. Problem solving is also the point where students often get turned off - if they don't have the skill or algebra to solve a problem it can be incredibly frustrating. Equally, giving them too much information and not letting them get that sense of satisfaction at completing it, will also turn them off to maths. Problem solving is what makes students employable - not the numeracy.