On Mathematical Maturity (1) Thomas Garrity
IAS | PCMI Park City Mathematics Institute 0 HN recommenders · 2023–2025
172K views · lecture · evergreen · Uploaded 2017-07-13
Thomas Garrity discusses mathematical maturity, a concept mathematicians use for professional development, and how it can inform teaching, mentoring and careers. It was given at the IAS/PCMI Park City Mathematics Institute.
HN mostly cites it as a source or related clip in math and neural network discussions, not as a strong recommendation.
1:03:43How to Speak
MIT OpenCourseWare
1:20:09Confessions of a Converted Lecturer: Eric Mazur
UMBCtube
59:56Marty Lobdell - Study Less Study Smart
Pierce College District WA
11:41RSA ANIMATE: Changing Education Paradigms
Royal Society of Arts
1:37:45Alan Kay: Doing with Images Makes Symbols (Full Version)
Kenneth Friedman
1:00:11CppCon 2015: Kate Gregory “Stop Teaching C"
CppCon
1:16:55LEADERSHIP LAB: Writing Beyond the Academy 1.23.15
UChicago Social Sciences
1:15:11Veritasium: What Everyone Gets Wrong About AI and Learning – Derek Muller Explains
Perimeter Institute for Theoretical Physics
3 comments from Hacker News
A video about neural networks, function approximation, machine learning, and mathematical building blocks. This is a submission for #SoME3 (0:00) Functions Describe the World (3:15) Neural Architecture (5:35) Higher Dimensions (11:55) Taylor Series (15:20) Fourier Series (21:25) The Real World (24:32) An Open Challenge Links and Content: • On Mathematical Maturity, Thomas Garrity: [VIDEO] • Earth Rotation Loop: [LINK] • Earth Rotation Loop Modeling Shell Surfaces: [LINK] • Fourier Features Paper: [LINK] • Code for mandelbrot/image approximations: [LINK] • Code for line/surface approximations: [LINK]
The above short clip is from the following series: "On Mathematical Maturity (1) Thomas Garrity": [VIDEO] "On Mathematical Maturity (2) Thomas Garrity": [LINK]
I think the more realistic long term victims will be implementation specialists and business analysts. The middlemen who sit between product (developer) and customer. Giving your product the ability to talk & work directly with the customer seems to me a much more valuable activity than covering all the edge cases that would arise during the development of such a solution with an LLM. Remember, everything is a function [0] and LLMs support calling them. The trick is having the skill and domain expertise to establish bounded contexts and prompts that align with realistic product use cases and transition between them cleanly. I know there is a lot of doubt that users would enjoy using a chat interface, but I strongly believe it would be popular as long as it actually works. If it's not well designed and the GUI tools are faster even for a novice, you will have wasted a lot of time/money for nothing. [0] [VIDEO]