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Mathematics Educators

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    $\begingroup$ I've prepared many such handouts and worksheets and such for this purpose, and several used to be on the internet at Math Forum, but they seem to have taken their entire discussion groups database offline. However, since your profile leads to a real name and presumably legitimate email address, I'll send some of them to you in a few minutes. $\endgroup$
    – Dave L Renfro
    Commented Apr 14, 2020 at 18:17
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    $\begingroup$ Some old answers of mine that might contain things you could use: using the factor theorem AND applications of rationalization AND advanced level algebraic expansions AND derivative of $x^{m/n}$ by limit definition of derivative AND a challenging irrationality proof using the rational root theorem. $\endgroup$
    – Dave L Renfro
    Commented Apr 14, 2020 at 18:36
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    $\begingroup$ Have you giving the students a diagnostic test to see what they are really missing? It can help you plan? Additionally some high school problems would be in order if they are all missing the same skill. $\endgroup$
    – Amy B
    Commented Apr 23, 2020 at 18:31
  • $\begingroup$ A decent chunk of the students do formally know the rules about expansions, fractions, exponents, equations... However most of them get lost if a computation lasts more than a couple of lines or involves parameters in addition to the unknown/variable. The message they should get from those problems is that they should not be afraid to start a computation which is a bit lengthy as long as they keep track of what they want to do at each step. $\endgroup$
    – Thomas Richard
    Commented Apr 26, 2020 at 7:27