When I lead professional development, I focus on easy-to-implement changes first. Using openers and games are usually my first takeaways for teachers. When I’ve spent longer with them, I move to rich tasks.
I think of rich math tasks as the heartbeat of mathematical thinking, and essential to any classroom. They’re the best way, in my opinion, to offer real math—and the opportunity to thinking like mathematicians—to students.
They’re also tough to implement. They’re simple in a sense, but not easy, and they take practice. I’ve also learned that teachers often find them daunting at first. The good news is, with the right support, they can get comfortable using them in the classroom. Here’s a pre/post survey on comfort with rich tasks from a Math Teacher Circle series I just wrapped up.
To me, this is exciting. Our best tool to offer students rich learning experiences is teachable and learnable.
A new PD video support for rich tasks
This last November I flew to Australia as part of a grant to produce a video series on using rich tasks. The work was in partnership with an innovative math curriculum developer I’ve been collaborating with called Maths Pathway. The goal was to create resources that teachers anywhere would be able to use to support a move into using rich tasks in their classroom.
This series is now available. You can find the entire series, including specific lesson write-ups and video launch ideas, at Maths Pathway, or at Math for Love. Here’s the introduction.
Rich Learning with Dan Finkel | Part 1: Introduction - YouTube
I was recently asked to be on a panel discussion online, along with a few others with an interest in recreational mathematics. The topic was how do you make math fun?
Because of time zone differences, I ended up writing a fairly detailed first post on the panel. I thought it would be of interest to readers of this blog as well. You can see the entire panel discussion here.
Part of me wants to say you don’t have to make mathematics fun, because it already is. Or rather, it can be fun. It can also be frustrating, illuminating, elegant, baffling, challenging, and addictive. The question probably needs to be “how do you make SCHOOL math(s) fun?” Or possibly, “how do you make school math(s) meaningful and motivated?” And a typical answer to that is you make it more like real mathematics.
But I’m not sure that’s sufficient as an answer. It’s feeling like there’s something new that’s happening in mathematics education, and it has to do with crafting experiences that are more likely to be engaging, more likely to be playful, and more likely to be social. Even if these existed occasionally, making them more ubiquitous actually changes how people experience the subject.
When people are young (say, 2 – 8), mathematics tends to be a source of joy. Kids seem to be drawn to ideas about number, shape, pattern, and structure in a similar way they are drawn to language. They learn through experimentation, play, and repetition, and the exposure to mathematical ideas is fundamentally empowering. I think we need to create frameworks that imitate how young kids are drawn into mathematical thinking. Mine looks like this:
Spark their curiosity. Get them engaged in an irresistible mystery. This means letting questions hang in the air without answers.
Support their productive struggle. People learn by trying to make sense of things that aren’t obvious. This can be frustrating, but we need to let the struggle belong to the student. If we take it from them, we take the satisfaction and joy as well.
Let students own the experience. A chance to reflect or share can let students see what they’ve done, and how far they’ve come. If we’re just concerned about them having the right answer, we communicate that their understanding and ownership isn’t what’s important. So we really have to give them space to take ownership of the process and the ideas that come from it.
One very important thing to note is that play supports all of this. For mathematics, play is the engine of learning. When you’re in a playful state, you’re more likely to be open to curiosity, more likely to struggle, and more likely to feel a sense of ownership.
So for parents as well as teachers, and especially for primary grades, I’d say the most vital advice is to play with mathematics. Playing games is great. Playing with blocks is crucial, especially for young children, since there’s a physical intuition that gets built that ends up providing fundamental analogies for mathematics. Just living with questions and providing a space for questions to live is very powerful.
The second thing I’d suggest is to change your fundamental question from “do you know the answer?” to “how are you thinking about this?” Worry less if your kid has reached whatever bar you think they need to reach. Instead, let yourself be curious about what’s actually happening in their mind. Mathematics has been called supercharged common sense. If we teach people to ignore their intuition and follow nonsensical steps to arrive at answers, we’re doing a deep disservice to them, and damaging their foundation for mathematical thinking long term. Don’t be answer-driven. Be sense-driven.
Will all this make mathematics fun? Sometimes it will. But hopefully the real shift is in letting mathematics be playful, challenging, empowering, meaningful, and motivated.
I just received an email from a teacher named Dustin Stoddart, who turned the Wizard Standoff Riddle I created with TED-Ed into an interactive classroom game. This is an appealing way to explore the intuition behind the probability and game theory of the original riddle. I’m sharing the original riddle and Dustin’s lesson below.
Can you solve the wizard standoff riddle? - Dan Finkel - YouTube
I just add a fascinating conversation on twitter, and I made a video to pose it to you. In particular, if you’ve got upper elementary or middle school students (or high school, or college), and want to explore whether this pattern keeps working, I’d love to hear how it goes.
Here’s the original tweet, and my video synopsis below.
I like this 1: find the sum of 10 numbers with a pattern of: a+b=c, b+c=d, c+d=e etc. Take the 7th answer (g) & multiply by 11 Example: a) 12 b) 2 c) 14 d) 16 e) 30 f) 46 g) 76 h)122 I) 198 j)320 Ans:836 Divide the answer by 7th number it will always b 11.#Math#DOMATH