I gave a talk in March at Pedagoo London (my first public appearance) and again the weekend before last at the La Salle Education maths conference on fluency in mathematics. This post is based on those talks and so, inevitably it has taken several posts and revisits some old ground. Parts 1 and 2 are here and here.
Finally we come to my advice for teaching for fluency. Firstly, something I started doing this year, is starting all learning objectives with “know” or “practise”. I find this covers everything that’s worth teaching and establishes what you are trying to achieve. But the big challenge is over resources. Here are my recommendations.
1) math-drills.com This is an American website (note the lack of an “s” in “math”). However, it has a wide range of free worksheets that emphasise practice. It’s particularly good for number bonds and times tables.
2) Ten Ticks. Probably already known to every maths teacher reading and very common in schools. But there is often a sniffy attitude that Ten Ticks sheets have too many questions on. I beg to differ. If you are using them sensibly (don’t just read off the levels) then they provide the right amount of practice, and usually the right level of increasing difficulty.
3) Mymaths. Again I’m recommending something that is already widespread. However, what I want to point out, to those who already have access, are the many “Beat the Clock” activities. These are absolutely ideal for developing fluency.
4) Make your own worksheets on Excel. If you need students to repeat very similar work then you can create worksheets in Excel which can then be significantly altered by changing only a few cells. So, for instance, by making the answers random numbers it is possible to generate similar but different equation questions repeatedly.
5) Old Textbooks. The fashion for letting students look things up themselves and the hostility to practice has seen textbooks expand their explanatory material and decrease the number of questions. Most of the high achieving maths departments I’ve worked in, or visited, have had textbooks from ten or more years earlier.
The most important principle is not having to hide that you are doing any of these things. Teachers should be allowed to get kids to practise.
If you have any other resources that are good for developing fluency, please suggest them in the comments. Two things that came up in the questions after the talks are Times Table Rock Stars and mental mathematics practice. The latter is one I use a lot, particularly where it is possible for students to hold up answers.