What should we teach our (undergraduate) students?

[This is a guest post by Jana Gevertz and Steffen Marcus. This blog post was initially written in a different file format and converted using AI. — T.] In the last few months AI has hit our discipline with a frightening force. Many of us, understandably, have turned our attention to our students. They are absorbing this change while still working out what kind of mathematicians, and what kind of professionals, they hope to become. On this blog, Álvaro Lozano-Robledo recently asked “what should we tell our students?” (What should we tell our students? | What’s new). In this post, we will focus on the natural follow-up question: “what should we teach them?” Whatever our students choose for their future careers, be it academia or industry, their work will continue to depend on the depth of their mathematical understanding. However, more and more of that work will likely involve prompting, interpreting, checking, and communicating mathematical ideas that an AI model helped generate.…

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