AI Will Become Mathematicians’ ‘Co-Pilot’Fields Medalist Terence Tao explains how proof checkers and AI programs are dramatically changing mathematics
By Christoph Drösser - https://www.scientificamerican.com/article/ai-will-become-mathematicians-co-pilot/ (June 8, 2024)
A Position of the National Council of Teachers of Mathematics
Artificial Intelligence and Mathematics Teaching
NCTM Position
Artificial Intelligence (AI)-driven tools can respond to students’ thinking and interests in ways that previous tools could not. By drawing from large language sets, AI has the potential to adjust application-based problems to student interests and identify the sense students have made even in their incorrect answers. Students will continue to need teachers’ mathematical, pedagogical, and relational expertise, though teachers are also likely to benefit from AI-driven tools. In some cases, AI may serve as a teaching assistant, but students will need teachers to help them create a bridge between prior knowledge, new knowledge, and shared knowledge. Teachers must tell students to be very skeptical about AI results, especially about the unique challenges of using tools that may have been trained on biased datasets. This skepticism can be woven into existing pedagogical and assessment techniques. Knowing this, educators need to be involved in developing and testing AI tools in math education to stay up to date with current AI trends to best prepare students for an AI future. Contrary to some popular opinions, this effort will require teachers with even deeper knowledge of math instruction and assessment—math teachers with more experience, not less.
“That's the way with a cat, you know -- any cat; they don't give a damn for discipline. And they can't help it, they're made so. But it ain't really insubordination, when you come to look at it right and fair -- it's a word that don't apply to a cat. A cat ain't ever anybody's slave or serf or servant, and can't be -- it ain't in him to be. And so, he don't have to obey anybody. He is the only creature in heaven or earth or anywhere that don't have to obey somebody or other, including the angels. It sets him above the whole ruck, it puts him in a class by himself. He is independent. You understand the size of it? He is the only independent person there is. In heaven or anywhere else. There's always somebody a king has to obey -- a trollop, or a priest, or a ring, or a nation, or a deity or what not -- but it ain't so with a cat. A cat ain't servant nor slave to anybody at all. He's got all the independence there is, in Heaven or anywhere else, there ain't any left over for anybody else. He's your friend, if you like, but that's the limit -- equal terms, too, be you king or be you cobbler; you can't play any I'm-better-than-you on a cat -- no, sir! Yes, he's your friend, if you like, but you got to treat him like a gentleman, there ain't any other terms. The minute you don't, he pulls freight.”
Mark Twain, ‘The Refuge of the Derelicts’
