Good Questions for Math Teaching is a Math Solutions book that has long been one of my favorites. It’s a resource that I dip into when I feel the need for something fresh. And it speaks directly to our current shelter-in-place coronavirus crisis as many of us look for ways to mathematically engage students online, children at home, or both. Here are samples to get you started. I’ll continue to post more ideas on Twitter (@mburnsmath).
Fourth graders solve the problem 5 ÷ 4 in the context of sharing cookies, figuring out how to share five cookies equally with four people. The students came up with six different solutions―all of them correct! (Try and think of what they might be before continuing to read.)
Will Multiplication Bingo guarantee that students learn the multiplication facts? No. But it will help familiarize them with factors and multiples, engage them in a game that involves both luck and strategy, encourage them to make conjectures, and have them use data to guide decisions. Plus, the game provides a way to send home information to families about how their children are being asked to think and reason in math class.
The fourth graders I’m working with on a regular basis are learning about fractions. During a class conversation, one student declared, “Fractions aren’t numbers.” Most of the others in the class agreed. I tried to help with the misunderstanding by teaching a lesson about placing fractions on a number line.
I like the multiplication game of Pathways. It engages students’ interest, helps develop their familiarity with the times table, and encourages them to think strategically. It's been a part of my teaching for a long time. Recently I came up with a way to introduce the game that made it easier for students to learn to play. It was a huge success. Read about what I did and how the students reacted.
I’ve taught students in grade 2 through middle school how to solve KenKen puzzles. If you’ve never solved KenKen puzzles yourself, or haven't engaged your students with them, read about how I’ve introduced them in the classroom. But be warned: KenKen puzzles can be addictive.
This post is about subtraction, which is typically difficult for students to learn and for teachers to teach. Think about 503 – 398, for example. To estimate the answer, I can change the problem to 500 – 400 (rounding 503 to 500 and 398 to 400). That gives me an estimate of 100, which I know is close. But how can I know if the actual answer to 503 – 398 is greater or less than 100? I raised this question with third graders.
My friend Ann sent me an email about her unsettling experience at the supermarket deli counter. Ann has never felt particularly confident with her math ability, and I was pleased (and amused) that she asserted herself in this situation. Also, Ann’s comment to me about the work we face as math teachers rang true.