When I taught high school mathematics and science in 2023, my best technique for teaching students complex concepts was building visual analogies. If my student was learning how to complete the square, I'd have them use the Feynman Technique to understand the process conceptually, but then I'd have them create a visual analogy in their mind's eye that represented the concept.
If we didn’t create the visual analogy, the information would be gone by next class.
I found that without storing their conceptual learning in an imagined picture, the student would be able to explain how to complete the square in lesson 5 and the knowledge would fade by lesson 6.
Visual analogies to represent abstract concepts solves a massive problem: it actually stores the information somewhere in the student's brain. When I taught through visual analogies and had the students build them in their heads, the student would still remember the concept by the unit test.
So if the student still remembered the concept, why does this post have this title?
It's because visual analogies exchange being able to retain some version of what they learned for the price of thinking in the shadow of concepts.
Let's take an example from when I taught a 1 off history course and had to communicate the following concept: in 2008, Chinese authors wrote declinist commentary about the United States' economic crisis, which emphasized the comparative growth between China and the US.
When I taught this to my student, I knew I had to use a analogical picture. I had worked with this student for months at this point, and knew that without some image, even if they understood the concept now, the information would soon fade .
So I gave them this mnemonic: picture a cliff. At the top, you see authors wearing shirts with the Chinese flag, pointing down and throwing pages. Next to them was a big pile of money. At the bottom of the cliff, people wearing the United States flag on their shirts are looking sad. When I gave them that mnemonic image, their face lit up, and they said, "Oh, I get it now."
This is a moment in my teaching that I'm both proud of and deeply upset by.
The pride is that, for a moment, my teaching allowed Hannah to “see” the concept, which is magical. It was something she could work with and manipulate.
On the other side, that image is not the concept I wanted her to learn, and that image is what she stored.
To demonstrate what I mean, here’s what happened two weeks later; many of you who’ve used visual analogies will recognize it.
The subject came up again, and under free recall, I asked what the relationship was in 2008 between China and the U.S. Hannah said, "Oh, I remember."
Then her smile turned into confusion: “Uh, yeah, so I see the Chinese people above the U.S. people, and they have money. Oh, so I think that it was something to do with money. And then I see papers being thrown, and so it seems like the Chinese people thought the U.S. people were worse."
This was a much better answer than if we hadn't created that visual analogy, because that answer would have been entirely blank.
But, as a teacher, i want more for my students than being able to recall things they learn, but only as shadows.
When I teach my students something, I want the medium in which they store the information to be rich and conceptual. I don't want it to have to be a silly cartoon analogy every time.
The usefulness of visual analogies reminds me of that old quote about democracy: democracy is terrible, but it's the best form of government we have.
We want students to be able to remember what they learn, and we want the form they store the information in to be actually helpful for learning. Visual analogies only solve one end of that problem.
In an ideal world, there would be a tool that provided the same sensory and memory abilities as visual mnemonics, but represented the information in its full conceptual form.
A visual analogy lets a student actually look at that image of the cliff and notice things in it, and they feel like they have it. They're holding the concept in their head.
Whatever better solution to this problem exists needs that property too, where the student can hold the concept in some imagined sense. And the trace of that imagined sense must be really strong, like images and not words.
If you're interested in talking more about alternatives to visual mnemonics for teaching students complex conceptual information in a way that sticks, you can check out the subreddit
[r/MentalAtlas](r/MentalAtlas).