I’m reading Tools of Titans: The Tactics, Routines, and Habits of Billionaires, Icons, and World-Class Performers after a gentle nudge from Chase Orton, whom I’ve gotten to know through CMC conferences recently.
There is a part in the first part of the book where it’s talking about learnings from Siddhartta Buddha. A merchant is asking what Siddhartha can give him if he can’t give him possessions. A short portion of the exchange is follows:
Merchant: “Very well, and what can you give? What have you learned that you can give?”
Siddhartha: “I can think, I can wait, I can fast.”
He can’t give money, he can’t give things. But he goes on to explain a bit – if he doesn’t have food, then he can fast.
Let’s take the same ideas and apply it to teaching mathematics:
I can think (Math Practices 7,8)
Tim Ferris extrapolates further that because he can think, he can make good decisions.
We can teach kids how to memorize things, or we can teach them the why behind the algorithms. We can give them a goal without support, or we can teach them a system of how to study and achieve in education and in life. Specifically I’m thinking about being able to give our students the foundational skills needed to really engage deeply in DOK 3 level problems – we know that we can’t immediately engage kids with a DOK 4. I once saw a chart from an administrator who thought the DOK levels were like a ladder, and that the end of every quarter should automatically see DOK 4 level problems… a blatant misrepresentation of the paradigm
I can wait (Math Practices 1, 3)
In the book, Tim expands – because he can wait, he can play the long-term game and not make short-term bad decisions.
This idea of waiting for students to understand things hit me pretty hard. When I moved from high school to middle school, I noticed that I was quicker to help the middle school students – probably because I felt they needed it. This was incorrect! I only discovered this fact when I recorded myself teaching over the course of several days and then watched the recordings on fast-forward to be able to spot trends.
I didn’t wait for kids to answer incorrectly or not. I was not giving kids a chance to struggle. This affects equity and as is talked about over and over again in Mathematical Mindsets, my classroom was not a safe place to learn by making mistakes and then being able to apply that knowledge in a new context. I made immediate changes to pre-write questions I knew I wanted to ask and adapt those questions from class to class as needed.
I can fast (Mathematical Practice 1)
Obviously we aren’t going to ask students to not eat here. But we can stop, “spoon-feeding,” them answers (see what I did there?!). Too often I would catch myself asking leading questions without even realizing it – but why should I be asking guiding questions at all when students should have the tools to self-diagnose.
What to do about it
Some ideas I had while writing this post:
- Use puzzles during warmup to help remind students that just as they can find different ways to solve a puzzle, they can find different ways to solve a problem.
- Have students explain their steps out loud to another student or explain it back to me using an app such as Recap. I would also often have students in a group be recording into an audio device and then the next day, have them play back parts of the audio to be able to hear themselves solving problems – their own insights to their thinking process was often quite interesting!
- Strategies/activities I have used to stimulate students perseverance include the Four Four’s activity, Grazing Goat, and having students find multiple ways of solving the same linear equation. When appropriate, three act tasks are also great to see results!
What tools/tasks do you use in the context of “Think, Wait, Fast”?