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Algebra can become a real challenge to students in early secondary school. It builds on and extends the arithmetic that students have met in primary school. However it represents a shift from computational maths — calculating with numbers — to a more abstract world where letters are introduced in place of numbers. Students have to get to grips with the idea of negative numbers, exponents and variables. There are orders of operation and associated rules — not following them leads to the wrong answer. This leads to frustration. Despair follows in short order.

A study published in England concluded that pupils without instant recall of multiplication tables struggle in maths. According to Ofsted’s education director: ”It is really important that children have the tools of arithmetic at their finger tips. Without that it is like sending a plumber out to do a job without knowing how to use a spanner.”