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Visible Learning for Mathematics

Visible Learning for Mathematics

Effective teaching is the goal of every teacher of mathematics. How do you know that your teaching is effective? What strategies should you choose? What tasks?

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‘Proof’ that 2 = 1

let a = b

then a2 = ab

a2 - b2 = ab-b2

(a-b)(a+b) = b(a-b)

a+b = b

substituting b+b = b

2b = b

2 = 1

Where is the error made?

You need to be aware that a – b = 0. This false proof relies on dividing both sides of an equation by zero which should not be done.