I love incorporating children’s books into math lessons. Since most of my teaching focuses on math, it’s a treat for me to read a book aloud to a class. After the students have a chance to enjoy the story and respond to the illustrations, then I use the book as a springboard for a math lesson.

Over the years, I’ve collaborated with Lynne Zolli and Patty Clark on a variety of math education projects. For this blog, we worked together to share our thinking about how Listening to Learn math interviews can serve teachers and students.

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).

What am I doing on the floor? Teaching angles to fourth graders. Read about how instruction using Pattern Blocks and hinged mirrors, along with supporting number talks, can help students learn to understand and measure angles. Here I present a (sort of) photo essay to describe what actually occurred over the first three days of instruction. Ideas for continuing the instruction follow.

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.)

I thought I was on the right teaching track using real-world contexts to talk about fractions with a class of fourth and fifth graders. Then a surprise occurred! I’m still mulling over what I could have done. I’d love your thoughts.

I believe strongly that mistakes are learning opportunities. At least that’s what I regularly tell students. But it sometimes feels different when the mistakes are mine . . . and especially when they are pedagogical mistakes that I make while teaching. That happened to me recently when teaching a lesson to fourth graders.

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.

Read how 7th graders collected and analyzed data about the frequency of letters. They chose sentences, recorded the frequency of letters, and put their data on a class chart. Then we compared the class results to the actual frequencies of letters. Engaging the students in collecting their own data gave them an authentic math experience, not rigged by me in any way.

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.