"A Mathematician's Lament" critiques the current state of mathematics education, arguing that it stifles students' natural curiosity and creativity. The author, Paul Lockhart, uses analogies to music and painting to illustrate how these subjects, if taught with the same rigid, formulaic approach as math, would similarly strip away their artistic essence. Lockhart contends that mathematics is inherently an art form focused on pattern-making and imaginative problem-solving, rather than a mere tool for science or a collection of facts to be memorized. He advocates for a radical overhaul of the curriculum, proposing that math be taught through engaging problems and foster genuine discovery, allowing students to develop their own understanding and appreciation for its beauty, rather than blindly following predefined rules and notations. The text suggests that the current system produces teachers who themselves lack a deep understanding and passion for the subject, perpetuating a cycle of meaningless "pseudo-mathematics".

"Please comment "

These ideas come from my own notes. My repo is https://github.com/smedum/topy-v0

This an open source project and as I am an independent researcher, this needs further collaboration with those in the field. I am quite astonished that I have got this far on my own.