It may be a mistake to combine "help for students learning symbolic integration" and "symbolic integration" simply because the methods taught to students are probably different from the integration algorithms used by computer algebra systems. Certainly Maxima. Probably sympy too, which uses various Risch heuristic methods.
The link below to docs did not work for me until I added an "l' to make it html. If you are doing nothing more than putting an interface to the already existing sympy integral_steps, then the comment above and below pertains to the integral_steps program, and not your interface design :). In fact the most useful "help" may be to (a) determine the calculus textbook in use (b) identify the assigned problem as appearing at the end of chapter X. (c) explain the use of the method of chapter X (and not a later chapter, since that is not yet allowed, and the grader may take off points from the homework because it is clear that the student did not do the problem him/her self.) RJF On Monday, August 19, 2019 at 4:24:10 AM UTC-7, mmarco wrote: > > I have been working a bit on some functions to help students do > integration by hands. Under the hood, they use sympy's integral_steps > function (see [1]), but I am not sure which is the right way to present it. > The options I am considering are: > > 1) Go full step-by-step integrations, in the spirit of sympygamma site > (or wolframalpha, if you have access to the pro version). In that case, I > guess returning a text (or html) stringwould be the sensible choice. > > 2) Just show a hint for the next step to the student, something like: > > sage: integration_hint(sin(x)*x, x) > Integrate by parts, with u=x, dv=sin(x)dx. So integral(sin(x)*x, x) = x* > cos(x)-integral(cos(x),x) > > In this case, maybe we should return a specific class where the student > can get the expression to follow the computation by hand. Also, we could > have different display methods for different envirments (mainly, command > line and jupyter notebook) > > So my questions are: > > - Which option do you think would be preferable? Show the full step by > step solution, or just give hints as they are asked for? > - In any case, which would be the right way to handle different > representations deppending on the environments? I assume that if we have a > specific class for this, it should have some __repr__, __latex__, and > __pretty_print__ > - Which would be the right place to put this code? I would say > sage.symbolic.integral, but some time ago someone mentioned the posibility > to create an education module, to put the different pieces of code that was > writen with for educational purposes. > > What do you think? > > > > > [1] https://docs.sympy.org/0.7.5/modules/integrals/integrals.htm > > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/a12bf07d-978d-4f45-87af-3eadb171ec6b%40googlegroups.com.
