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by jsmith45
2754 days ago
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the lack of providing motivation is a huge problem with math courses on every level. I feel that mathematical topics almost always benefit from positing some problem, and then "inventing" the mathematics that allow you to answer the question, followed immediately by some examples of other questions this topic can help you answer (as at least an informal justification of some of the seemingly arbitrary choices made). Then show a similar topic you cannot quite answer and build on it with that. Eventually you will have built up the majority of the topic with motivations for each part. Abstract algebra might be trickier to motivate than many subjects, but it still should be possible. Yet given how much trouble there seems to be in writing out motivation for more concrete topics finding a textbook that provides motivation throughout for this area seems tricky at best. |
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