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Teaching specific tactics for problem solving

This is my final blogpost, as my year as President of the Mathematical Association draws to a close, so I've allowed myself to go on at ...

  • Crocodiles and inequality signs
    Teachers of mathematics seem not to be particularly fond of crocodiles/alligators when they are used to give meaning to the inequality signs...
  • Fractions as factors
    Can a factor be a fraction? People sometimes agonise over whether a fraction such as $\frac{2}{3}$ can be called ‘a factor’ of another numbe...
  • Dividing into thirds
    How accurately do things need to be  drawn  to evidence conceptual understanding? When are accurate drawings helpful and when are they unnec...