: Re: Writing a math exercise book I am in the process of compiling a collection of exercises in Linear Algebra, (freshman course). This is mainly just a series of examples, with a short theoretical
Solve the first 1 or 2 problems completely right in front of the question, so the student gets an idea of what to do. For the others, give a short answer (like final solution: x = 20) below the question, so students can check if they got the right answer, but put the complete solution at the end.
Put reference only if its useful- to an undergraduate. My whole Degree course was full of references to books that were written for Ph.D. students, and that the Professors loved, but were completely useless to me as they were too advanced. If you must, put in references to simple books in the Appendix, with a short note on why they were useful. But yeah, in most cases its just annoying: "Look at me, I read all these journals to write this book, Im so smart".
Get Feedback from actual students. Have them sitting in front of you trying to solve the problems. If they do them at home, they might just skim through them, or be polite and say they loved the book, when they didnt. So have them in front of you, and see how they progress. Are they actually getting better when working through the problems, so that they are finding the later problems easier?
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