AI tool for math problem generation
Help in creating them can look like text that I can copy/paste, or generation of documents (Word, PDF), or creation of software that creates such problems (app, webservice) with solutions and support for grading and feedback.
I would like to be able to generate "pure" math problems (where the answer is a number, an expression or some other mathematical object) as well as "real world" math problems that involve problem solving and applying the mathematical results to a given situation (interpreting results to give useful information to real world situation).
I would like to be able to give detailed instructions for how to solve or work with the problems in the set, including a solution of example problems.
It would be beyond amazing if the AI could also process the student solutions and give feedback automatically, even when it comes to such qualities or abilities as reasoning and communication skills, give general feedback and suggestions for what the student can improve and next things to work on, and suggestions for the teacher on what to improve and next things to give to the students to learn, including refinement of the definition of the problem set.
