It’s a common decision teachers have to make as to whether there is a value in setting up a situation where students work things out for themselves rather than being told something directly. This isn’t about ‘discovery learning’ vs ‘direct instruction’ – which is a more fundamental difference relating to a whole approach. It’s simply about when to set up problems that students can solve in order to help them make sense of some concepts themselves, rather than walking them through it in advance.
Maths investigations are a great example of this.
It would be possible to simply tell students that the sum of a…
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