I taught a seventh grade class here in Oakland, CA, a few days ago. We learned about increase and decrease by percentages in this Amplify Desmos Math activity. Here are five short takes on What Happened and What It All Means.
1. Students want answers to three questions before they learn.
These kids and I were new to each other and I got the sense they wanted answers to three questions before much learning could begin:
Do you like me?
Do you like what you teach?
How much do you expect of me?
I think every teacher answers those three questions in their first thirty minutes with a new class even if no one says anything out loud.
2. When will you ever use this? Right now!
It’s one thing to tell students, “you might use this math someday.” It’s another to bring that future into the present. I told the kids, “Look, if someone thinks you don’t know the score, they might decide to give you less than they owe you.”
The move: “Which of these prices seem like you’re definitely getting scammed? Which ones seem like you’re maybe getting scammed?”
3. Humans Giving Chatbots a Wedgie (Part 1,000,000)
A kid was looking at this problem.
In order to make more money, DesWorst Granola bars are now 10% shorter. If the original bar was 15 centimeters long, how long is the new granola bar?
He was staring at the problem. No work. What’s your move? If you’re a chatbot, you start chatting and you ask the student to chat back. You’re a hammer and the kid’s a nail.
However, if you’re a human with eyes and hands, with ideas about math and human cognition, you start gesturing and ask the student to gesture back, especially to gesture where they think 10% is and isn’t.
Tutoring 101: figure out what kids know, however they know it, and start from there. I’d love to see a chatbot tutor manage it.
4. Multimedia Decision Fatigue
This was a multimedia classroom and we picked our spots pretty carefully, especially for digital technology:
Digital technology. Interactive screens for experimentation. Text-based check-in screens I could draw on for instruction. A digital card sort where our platform would tell me the most challenging card for the class.
Teacher presentation. Communicating & revoicing ideas, creating collective effervescence, setting the stakes.
Paper. Nearly any kind of operational math work.
“Which of these modalities should I use and when? How do I balance the time cost of switching modalities with a kid’s need for variety?” Challenging questions IMO!
5. What makes discussions work?
Discussion questions are like swimming pools—accessible to fewer kids the deeper they go.
When I’m trying to figure out the question, “How well can these kids swim?” I stay away from deep-end-of-the-pool questions like, “How would you analyze the mathematical validity of this conjecture?” (a fine question for strong swimmers) and stick instead with questions that rely on visual perception like “Which words do you see in both answers?” That question hit. It didn’t access the full depths of the mathematics, but a huge fraction of the class had something they wanted to share.
Odds & Ends
¶ EdSurge’s Daniel Mollenkamp asks, “Is There a Problem With ‘Mathbots’?” and I offer a few answers.
Human teachers will be able to look at a sketch, ask for a couple words about a part of it, and then respond, using the context of the classroom, Meyer says. For a chatbot to have comparable knowledge would require a student to type pages and pages to try to communicate in words what they communicate so effectively and simply with multimedia, Meyer adds. Plus, even then, the human teacher could have incorporated facial cues from the student as clues to their understanding, which would have eluded a chatbot.
¶ Education Week on How Students Are Dodging Cellphone Restrictions. There is a species of parent that simply baffles me.
Parents fight the phone policy saying their student has the right to use their phone for classwork and communication because they bought the phone and gave it to their child.
¶ Kristin DiCerbo, Khan Academy’s Chief Academic Officer, offered some fairly candid thoughts on what they’re seeing in student interactions with Khanmigo, their AI chatbot:
Transcripts of student chats reveal some terrific tutoring interactions. But there are also many cases where students give one- and two-word responses or just type “idk,” which is short for “I don’t know”. They are not interacting with the AI in a meaningful way yet. There are two potential explanations for this: 1.) students are not good at formulating questions or articulating what they don’t understand or 2.) students are taking the easy way out and need more motivation to engage.
I would love for any of these large edtech chatbot platforms to report some very blunt descriptive statistics like a) the number of turns students take in the median chatbot interaction or b) the word count of the median turn or just c) monthly active students. Nobody reports these metrics—just the total people who created an account—which only makes me more curious about them.
¶ Sal Khan gave a speech in Santa Barbara, CA, and this is an interesting reflection:
You know, it’s very tempting when you see a new technology, especially if you have a background in tech. I have a background in engineering; especially if you’re a technologist, it’s very tempting to think that’s really cool technology. I want to use it somehow — which is always the wrong way to do it. You should never have a solution looking for a problem. You should say, ‘Well, what are the problems we’re trying to solve in the world?’ And then we should try to solve them in the simplest possible way. The problem that I’ve thought about a lot, and I realize Khan Academy is there to hopefully help folks solve, is how do we personalize education for and how do we give more people access to world class learning, and how do we support those supporting the students more? How do we support teachers, and how do we support parents more? And if the technology is pencil and paper, so be it. But maybe AI can be part of that solution.
It probably goes without saying that “maybe AI can be part of that solution” is light-years from “I think we're at the cusp of using AI for probably the biggest positive transformation that education has ever seen.” Have the chatbots lost Khan?
If Khan is saying these things publicly, I'm with you on the need for some data transparency on what's happening in student interactions with Khanmigo. If Khan is sincere about his mission, shouldn't he be publicizing what he's learning about the limits of his tutorbot, limits many of us have suspected from the get-go because we've seen the "personalized learning" train roll through schools a time or two before?
I worry about that question How do we personalize it? I began teaching in 1968. From there we went through zillions of attempts to "personalize education" and all of them failed. Why is that? It is because people like Sal Khan thinks that every single learner must be met with something that fits their exact learning profile? As both a classroom teacher and a math specialist I know this to be hogwash. Sure children all approach things differently....so...put them is small groups and let them talk to each other about what they think. A simplistic view of this is....give a group of 4 first graders a big pile of sun flower seeds and ask them to divide them equally between each in the group and then prove they all have the same amount. Typically (because I have done this many times) one starts off giving one to each person and one child in the group will quickly see that will take forever so ...get ready for this...he pushes them all back into the pile and begins to count out ten to each group. This goes on for a bit until someone notices the little cup I have put on the table and they say...Wait a minute! we could just fill the cup up to the top and give each person a cup. That would go faster (which is now the goal...forgetting a bit that they have to prove each person has the same amount at the end.)...So they push everything back together!! and begin to fill the cups until they end up with everyone having 4 cups and a partial cup left over....Oh what to do? So they push everything together again (because they must have made a mistake) and do it again ending up with that darn partial cup. BUT then one of the group says wait!!! lets give everyone 10 out of the cup. They do that up til they can't do even groups of 10 but now they see they can do 5 to each and then one to each with 2 left over (which they quickly eat). Happily they raise their hands for me to check. I come over and ask Do you all have the same amount?...Well they didn't keep track of their work so they could have said we each got 3 cups 4 sets of 10, 3 sets of 5 and 4 ones (being careful not to say they ate two) but they can't so they look a little sheepish and push them all together and start again. As I walk away I hear one say we should keep track of what we do. So no chat bot, no AI. Did I honor individual learning? of course and the individuals taught each other. My 5th graders could solve your % question in their groups without ever doing an arithmetic calculation...They got to be very good at figuring tax at a restaurant to surprise their parents. They didn't need chat bot or AI they just needed each other and the ability to talk out their thinking. By the way the kids see in 3rd grade that they can do long division the same way they did the sunflower seeds...figure it out.