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MATHS, HOW SHOULD WE HELP YOU?
Collin Li:
A worked solution is as good as a hint. It is the student's own downfall if they don't use the worked solutions in a way that benefits them (i.e.: repeat the example, encode and understand the technique).
Also, you won't be getting hints on an exam either, so I don't see how hints are any better than a worked solution. Often what follows the hint is just the algebraic hackwork, which is good for practice, but only good up to a point where the time taken outweighs the diminishing marginal benefit (we can assume that your algebraic skills will reach a plateau).
The 'hint' is the ingenious thinking step, and the students seeking the highest scores will need to be able to do without hints and should ultimately be able to solve problems, known or unknown, by themselves. The algebra is trivial, and showing it just makes it easier for the student to follow through without having to do the algebra.
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