Learning AI by Hand: Tom Yeh on Slowness, Foundations, and What AI Cannot Change

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Overview

Tom Yeh is a professor of computer science at the University of Colorado Boulder and the founder of AI by Hand, which he describes as a global education initiative to make what happens inside AI's "black box" accessible and approachable. His method is to write out the math of AI models by hand, and his aim is to show that AI "is not a big mystery" but something anyone can understand. In this short talk he asks why people should work through calculations by hand when AI can do them very well. His answer covers what learning is for, why foundations outlast tools, why cheating persists, and what employers should actually look for.

10 min read

A Transformer, One Box at a Time

Yeh opens with an example of his approach. A transformer, he explains, is meant to process the individual words in a sentence. He might start at, say, token number four, and then draw a box to show that each token is actually represented by multiple numbers. In his simplified case he uses three numbers per token. The point of the drawing is to make each step of the model's math visible and traceable on paper.

An "Old Professor" Relearning Deep Learning

The project grew out of his own gap in knowledge. Yeh says he "missed deep learning entirely" as a student because he was a bit too old. He studied support vector machines and other traditional machine learning methods. After he became a professor, suddenly everyone around him was doing deep learning, and he had to learn it from scratch.

AI by Hand, he says, is his way of sharing that learning journey, including his own struggles with the math and algorithms of AI models. The only way he could really understand the material was to draw or write it on paper, and that was when he would think, "oh, I actually get it." He started sharing his drawings and his way of mapping out the math. Many people responded, commenting that they liked how he broke things down by hand. That feedback gave him the name: he decided to "just call it AI by hand."

A Semester of C++ on the Blackboard

Yeh traces his belief in handwork to an experience teaching introductory programming. Students told him he was going too fast. He wanted to share a lot of knowledge, and with slides and live coding the pace had gotten away from him. So he taught an entire semester of C++ programming on the blackboard instead of live coding, writing his notes out by hand.

As the semester went on he noticed three benefits. First, he could only go as fast as he could physically write. Second, students could only be asked to learn at a humanly possible pace, following along as he wrote. Third, when students copied his notes into notebooks by hand, their hands were not on their keyboards checking Instagram messages, which helped them focus.

For Yeh, "by hand" is about reconnecting with our humanity. Using your hands keeps you at a human speed. Over time he came to see the value of that "old school" approach.

What Is Learning For?

This leads to his central question: what is the purpose of learning? Is it a physical or digital artifact that proves you learned something, or is it something you have internalized and actually own? AI can give you an answer right away, he says, but "having an answer doesn't mean you know it." People can buy degrees and certificates. In his view, how much you own and value a piece of knowledge is proportional to how much time you spent acquiring it. He argues that each person first has to define what learning actually means to them.

Matrix Multiplication as the Evergreen Core

To illustrate what lasts, Yeh recalls learning linear algebra as an undergraduate because it was required for a CS degree. He learned matrix multiplication with no idea why it mattered. Over the years, it kept coming back:

  • Computer graphics became popular after Jurassic Park put CGI up front, and CGI uses a lot of matrix multiplication.
  • A few years later came the big data movement, which also needed matrix multiplication for processing.
  • Then everyone was supposed to become a machine learning engineer instead of a data scientist, and machine learning is again matrix multiplication.
  • Today the push is to be "AI native" and even send children to AI school. It is still matrix multiplication.
  • In a few years, he suggests, the conversation might be about quantum computing, which he says would once again involve matrix multiplication.

The tools keep changing, he says, but something core and foundational stays the same. It is "evergreen." You could revisit it in one or two years and it would still be relevant. He contrasts this with passing topics. DeepSeek was popular at one point, but less so now. He then mentions a newer, very popular tool (rendered in the transcript as "Common Crawl") and says nobody knows if it will still be popular in two months. He is, however, "pretty confident" that transformers will remain a relevant topic.

Gyeongbokgung and Rebuilding on Stone

Yeh tells a story from a visit to South Korea a couple of summers earlier, when he toured Gyeongbokgung palace. He describes it as a beautiful palace with a long history. What struck him, he says, was learning that the whole complex had burned down around the 1500s except for its foundation of solid rock, and that in the 1800s it was rebuilt on that same foundation.

He reads this as a metaphor for technology. If you have a foundation in something like matrix multiplication, you can apply it to AI or whatever comes next, and it doesn't matter much if a particular tool becomes obsolete. You rebuild your skills on the solid base. If you focus only on surface features and tools and neglect the foundation, he warns, you will keep rebuilding your house without ever having a foundation to rebuild on.

The Skill of Acquiring Skills

Yeh then turns the idea toward personal experience. Think about a skill you became good at while growing up, perhaps piano, soccer, or chess, and how you acquired it. That ability to master something difficult is, in his words, part of your identity that doesn't change as new AI tools appear every day. Knowing "I can acquire this, I can become really good at it" is what lets you apply yourself to new AI tools as well.

He offers himself as an example. He fell behind on deep learning for quite a while, but he had learned the skill of breaking down difficult topics by patiently writing everything on paper. With that skill he says he eventually caught up, even though he started far behind people who had worked in deep learning for a long time.

So, he tells listeners, piano or soccer skills are not useless. Skipping one particular AI tool is "absolutely fine," because nobody knows what will come next. But skipping piano practice or soccer practice and giving up on it is not fine, since that is how you eventually find out who you are. It is not about "this just one tool."

Willingness, Not Memory

At this point in his career as an educator, Yeh says he cares less about whether students learn a specific piece of math. He expects that a year after a lesson, students may remember almost nothing of it. What he thinks lasts is the experience of having understood something, and the willingness to show up, study foundations, and open the black box. That willingness sets people apart. Others never try or take on the challenge.

What differentiates people, he argues, is not how well they remember the equations of the transformer or the attention mechanism. It is the memory of having once worked hard on something difficult, spending hours in the library, and succeeding, which gives them confidence for the next learning challenge. He sees solid foundational knowledge as a sign that someone invested fully in the process. Its absence, in his view, suggests a lack of effort or unwillingness to invest time in a challenging task.

Chegg, AI, and the Real Cause of Cheating

Yeh returns to his introductory programming course. He says he spent a lot of effort writing new assignments every semester because of Chegg, where solutions were shared. His team tried technical countermeasures such as checking IP addresses and even setting traps on the site so they would know who accessed it. At the time he hoped Chegg would go out of business or be shut down by the government.

"My dream came true," he says. AI became the new cheating tool and Chegg went out of business, but the problem remained. That made him think about the source. Chegg and AI, he argues, are only symptoms. The underlying cause is why people feel they have to cheat in the first place. Chegg is gone and people still cheat, and he bets they would find ways to cheat even without AI. In his view, AI cheating distracts from the larger problem of society's incentive system: why students feel compelled to cheat, and why the system doesn't reward real learning that takes time.

Hiring for Fundamentals, Not "AI Native"

Yeh closes on hiring. When he considers hiring someone, he says, what he cares about is basic: good work ethic, strong problem solving, and whether the person is a team player who communicates and works well with others. Those are the qualities that make you want to keep someone as an employee, and he sees AI skill as a byproduct.

His reasoning is that a real problem solver will learn AI automatically because they need it to solve problems, without being told. If an organization feels it must force employees to become AI native, he suggests, it may not have hired the right people, perhaps because it forgot to prioritize problem solving. Likewise, a genuine team player will learn to use AI to support collaboration on their own. His advice is to trust your instincts and keep hiring such people, because they will adopt AI naturally.

The reverse does not hold. If someone is not a team player, always looks out for their own interest, and does not respect others, AI will not fix that. His final point: "AI cannot change people," but people can change AI.