No, I haven’t, and reading your explanation I now believe that there is a fair chance you are correct. However, one problem I have with it is that you’re describing a few points of frustration, some of which I assume you ended up overcoming. I am not entirely convinced that had she spent, say one hundred hours studying each skill that someone with adequate talent could fully understand in one, she would not eventually fully understand it.
In cases of extreme trouble, I can imagine her spending forty hours working through a thousand examples, until mechanically she can recognise every example reasonably well, and find the solution correctly, then another twenty working through applications, then another forty hours analysing applications in the real world until the process of seeing the application, formulating the correct problem, and solving it becomes internalised. Certainly, just because I can imagine it doesn’t make it true, but I’m not sure on what grounds I should prefer the “impossibility” hypothesis to the “very very slow learning” hypothesis.
No, I haven’t, and reading your explanation I now believe that there is a fair chance you are correct. However, one problem I have with it is that you’re describing a few points of frustration, some of which I assume you ended up overcoming. I am not entirely convinced that had she spent, say one hundred hours studying each skill that someone with adequate talent could fully understand in one, she would not eventually fully understand it.
In cases of extreme trouble, I can imagine her spending forty hours working through a thousand examples, until mechanically she can recognise every example reasonably well, and find the solution correctly, then another twenty working through applications, then another forty hours analysing applications in the real world until the process of seeing the application, formulating the correct problem, and solving it becomes internalised. Certainly, just because I can imagine it doesn’t make it true, but I’m not sure on what grounds I should prefer the “impossibility” hypothesis to the “very very slow learning” hypothesis.