By John Golden, Posted September 29, 2014 –

Is it okay to blog about something that is not my innovation or lesson idea? Certainly! Blogging includes sharing your practices and things you’ve learned from other teachers. In the Math Twitter Blog-o-Sphere (#MTBoS), I love reading how teachers share and implement one another’s ideas.

At Twitter Math Camp 14, I blogged about my desire to implement Counting Circles. I learned it from Sadie Estrella who has blogged about it (read the Blame Game first) and shared her materials. As Sadie points out, the Counting Circles activity connects to Jo Boaler’s Number Talks; she, in turn, cites Ruth Parker and Kathy Richardson.

What Is a Counting Circle?

Image: John Golden

I introduced Counting Circles to my preservice teachers and emphasized the following:

• We’re going to count up or down by a specified amount from a given starting value.
• You have plenty of time; there’s no rush.
• Please don’t comment on other people’s counts.
• If you make a mistake, it’s not a problem. We’ll go from what you say.
• When we stop, I’ll ask you a question about what would happen if we had counted on. When you’ve got an answer to the question, put your thumb up by your chest. I’ll ask for volunteers to share their thinking.

I recently asked if students wanted to squeeze in a counting circle. An enthusiastic yes ensued. With just a few minutes, it was worthwhile to highlight number sense, thinking, verbalizing, and noticing. The count: up by 3/4, starting at 11.

“Can we use improper fractions?” Sure. Other students went back to mixed numbers, where more interesting thinking occurred. “What is the third next whole number we would hit if we kept counting?” And who would say it?

Students’ thinking mostly centered on the pattern of whole numbers for every 4, and each number being 3 higher. Why would that be? There was an audible gasp when the student shared 25 1/4 + 27/4 is 25 + 28/4.

I am seeing the culture-setting power that Sadie described, including accepting mistakes, willingness to share, and valuing of process over answer. This practice has made an impression on students as well, becoming the topic of several of their first blog posts for class:

Now, form a circle. Start at 5 and count back by eleven hundredths. . . .

This is my last Blogarithm post. It’s been fun to share some of what I value from the online community of math teachers. I hope you, too, consider tweeting or blogging.

John Golden, @mathhombre, is a member of the department of mathematics at Grand Valley State University in Michigan. He teaches math and elementary and secondary teacher preparation courses. At mathhombre.blogspot.com, he blogs about math games, geometry and GeoGebra, lesson ideas, and teacher prep.