Should AI Takeover Foundations of Mathematical Problem Solving
Lockart's Lament is a well-known paper in the math community. I probably can't entirely agree with Paul Lockhart that mathematics is like other forms of art, e.g., music, painting, music, or poetry. The issue is much more nuanced.
Today we have a tremendous opportunity to change the way we teach math. For example, we might be able to use AI, deep learning, virtual reality, or metaverse to create a new framework. That platform might not require students to spend decades learning mathematical problem-solving before they are ready for experimentation, playing, or creative activities.
About 20 years ago, Stephen Wolfram, in his monumental New Kind of Science, studied various architectures of (mathematical) computation. Now, the Wolfram Alpha system is a significant step towards automating algorithmic problem-solving.
I'm not sure if we are going in the right direction. Instead of progressing towards making mathematics more exciting for students, we are transferring mathematical knowledge to increasingly capable computers. I feel those technologies empower some students and mathematicians, but we are not doing enough to attract more young people to the field.
#math #teachingmath #newkindofscience #mathematicalproblemsolving #problemsolving #wolfram #ai #LockhartsLament #deeplearning #metaverse #LLM #wolframalpha #computation
https://www.maa.org/external_archive/devlin/LockhartsLament.pdf
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