Who’s Afraid of Generative AI: Promises and Challenges of AI for the Mathematics Classroom
OPEN MATH MAA WWORKSHOP
May 13-16, June 17, August 12, October 7, 2024
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The mathematics behind LLMs
A MUST FOR ALL MATH STUDENTS!
This is a continuation of the Neural Networks series, which introduces the mathematics and deep learning involved in transformers and their prerequisites.
3Blue1Brown April, 2024
A five part series from 2017 explaining neural networks, how they are trained and the concept of backpropagation. Requires a basic understadning of linear algerbra and mulit-variable calculus.
3Blue1Brown October, 2017
How to get started with Generative AI
Subscribe to the 'On Tech A.I. Newsletter' from The New York Times to embark on your journey to becoming an AI expert. This weeklong series is just the beginning, with regular updates every few weeks to keep you informed throughout the year.
NYT April, 2023
A series that chronicles my exploration of generative AI as it relates to mathematics and my calculus. class. In particular using AI for coding and mathematical image generation.
Lew Ludwig, April, 2024
Watch this video for an easy-to-understand guide on common AI terms, an overview of how the GPT model functions, a comparison between ChatGPT 3.5 and 4, and an insight into some of its limitations, presented by Lew Ludwig, August 2023.
Some Technical Things to Consider with Generative AI
MIT Technology Review
MIT Technology Review
The article explores the remarkable and puzzling capabilities of large language models, which can perform impressive feats of generalization and reasoning that defy traditional statistical understanding, leaving AI researchers scratching their heads about the underlying mechanisms that drive these models' success.
March, 2024
Harvard Business School
Harvard Business School
The article explores how AI like GPT-4 can boost or trip up the work, depending on the task at hand. It's a deep dive into when AI is a help and when it's not!
September, 2023
The current issue of the Bulletin explores the impact of artificial intelligence on mathematical research, asking whether AI will revolutionize the field, change research methodologies, and address the concerns and potential of using machine learning in mathematical proofs and beyond.
April, 2024
A visual walk-through of how this type of artificial intelligence work by Seán Clarke, Dan Milmo, and Garry Blight, The Guardian, November 1, 2023
On Stochastic Models
A poignant and thought-provoking comic that contrasts the rapid development of large language models with the organic language acquisition of a toddler.
November, 2023
Raises concerns about the trend of developing ever-larger language models, questioning their lack of true language understanding, potential biases, environmental costs, and misalignment with stakeholder values, while advocating for more thoughtful and responsible approaches to language model development.
March, 2021
Examines how infants extract patterns and regularities from the input around them through statistical learning mechanisms, which allows them to acquire knowledge about various aspects of their environment, including language, vision, and more complex cognitive domains.
August, 2017
Many things Mollick
An essential guide for educators on using AI as a transformative co-worker, co-teacher, and coach.
April, 2024
This paper introduces innovative AI-based exercises that empower faculty to design personalized, transformative learning experiences, fostering their role as builders and innovators for their students.
(Assumes some experience.)
April, 2024
A collection of prompts for instructors and students to help improve results from generative AI.
Working document
This blog/newsletter provides a research-based view on the implications of AI, Prof. Ethan Mollick of the Wharton School of Business
Working document
The release of ChatGPT 4o
OpenAI announced the release of GPT-4o, a faster and more capable iteration of GPT-4 that will bring advanced AI capabilities across text, vision, and audio to all ChatGPT users, including free users, while paid subscribers will have increased capacity limits, faster response times, and lower costs compared to GPT-4 Turbo.
May, 2024
Ethan Mollick's response to the OpenAI announcement of ChatGPT-4o where he considers implications to education, work, and global entrepreneurship.
May, 2024
Stefan Bauschard analyzes how OpenAI's new multimodal CahtGPT-4o transforms education with free, 24/7 tutoring and diverse learning tools for a global audience.
May, 2024
The "Cheat-Proof" Calculus Test
The article presents a comprehensive calculus exam question covering various topics like limits, derivatives, integrals, and theorems through a graphical approach, highlighting its effectiveness in assessing students' problem-solving abilities and deepening their understanding of calculus concepts.[1]
September, 2019
An innovative "take-home quiz" assessment approach for calculus courses where students create their own questions, graphs, and solutions over a week-long period, promoting higher-order thinking skills, retention through interleaving of concepts, and a sense of ownership while mitigating cheating concerns compared to traditional timed tests.
May, 2022
With the advent of generarive AI, explore one student's journey of attempting a cyborg approach to the "cheat-proof" calculus test.
May, 2024
Generative AI and Your Research
GenAI tools have transformed the landscape of research, providing new
methods for data collection, analysis, and interpretation. Here is a list of
cutting-edge GenAI applications designed to enhance efficiency and
creativity in research endeavors.
AI with and for your students
Ryan Watkins provides an adaptive survey you can use with students to determine what AI use is permissible or not in your classes.
July 27, 2023.
Goblin Tools is a collection of AI tools designed to help neurodivergent people with tasks they find overwhelming or difficult.
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