Mathagogy: adding and subtracting negative numbers

Adding and subtracting negative numbers - a vital topic. Yet even my sixth formers make mistakes using them, for example in differentiating reciprocals, or solving simultaneous equations. Much of this comes down to the classic 'two minuses make a plus' memory aid - a classic case of over-generalization - yet what can replace it? As Rob Brown tweeted,…

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Mathagogy: adding and subtracting negative numbers