Observations about engaging with historical mathematical problems with help of ChatGPT for classroom work in schools and undergraduate courses

Currently, there is great interest in incorporating the use of Artificial Intelligence with ChatGPT version 3.5 (AI) into day-to-day school academic work. It has been used, for example, in the search for information, in the processing of large volumes of data to carry out tests and calculations. We report here, however, some risks when exploring several topics that involve classic problems, an invaluable source of educational resources for the classroom. Based on this, we propose a non-exhaustive list of considerations for classroom work in schools and undergraduate courses with this computing resource, as well as some development routes for the improvement of AI.