Looking for an easy-to-play game that requires only the ability to count to 20, but has a real mathematical kick? Here it is. Teach it to your kids at home or to your students online to play with someone at home. Read on for the rules and some tips, including how to tweak the game to keep kids interested and challenged.
Riddles are usually a hit with kids, and with many at home and sheltering in place (as I am), diversions can be helpful. When rummaging through my book shelves, I found a book that I wrote in 1981―The Hink Pink Book. I wrote it shortly after I first learned about Hink Pink riddles, and also about Hinky Pinky and Hinkety Pinkety riddles. I think these riddles are good for some language play for kids at home, with a little math thrown in.
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.)
When teaching students to add decimals, I wind up reminding students to “line up the decimal points.” This makes sense to some students while others follow the rule without understanding. How can we teach adding decimals to develop understanding and skill? Here’s a possible suggestion: Give the correct answer up front.
Over a year ago, I blogged about The 1–10 Card Investigation. I didn't provide a solution to the problem and no one who commented asked for one. But a newly posted comment requested the solution. That pushed me into a conversation with myself about how I should respond, and about giving answers in general.
The children's book 17 Kings and 42 Elephants by Margaret Mahy is one of my long-time favorites. In this post I describe a division lesson that I’ve taught to third graders but recently revisited with fourth- and fifth-grade classes. With the older students, we tried extensions that differentiated the experience and put students in charge of deciding on problems for themselves. It was exciting to me to expand a lesson I've taught many times into a multi-day investigation.
Have you ever thought about this numerical sequence—0, 1, 2, 3, 4, 5, 7, 8, 10, 12? What does the sequence have to do with unicycles, bicycles, and tricycles? And what's my mathematical and pedagogical quandary? Read more and find out.
Here's one of my favorite oldies. (No, not the photo—the border problem.) I was so pleased to see this math investigation included in Jo Boaler’s latest paper. This blog post presents a detailed lesson plan for using the border problem with students and also includes a five-minute video clip to give you a sense of how the instruction went with one class.
At a math workshop, the presenter suggested that students have opportunities to be producers as well as consumers of their learning in the classroom. I put this advice into action with fifth graders, using the activity of Fix It to provide students additional experience with comparing and ordering fractions.
In a previous blog, I described a lesson I taught to second graders using the wonderful children’s book One Is a Snail, Ten Is a Crab. At John Muir Elementary School in San Francisco, I observed two other lessons using the same book, one in Kindergarten and the other in fourth grade. The lessons were a joy to observe, and I feel that my own teaching repertoire has now been enhanced.
Are you interested in a lesson that combines a wonderful children’s book with activities that engage students with organizing data and reasoning numerically? Read about how lessons using Chrysanthemum unfolded in two classes.
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.
A comment posted on my previous blog was a Yikes! experience for me. The comment was about one of the ways to make 11 that I included in the book I created for my grandson’s birthday. The comment was a wonderful reminder about how arithmetic, algebra, and geometry connect.
Bring an open mind is #1 on a poster of Sara Liebert’s expectations for her fourth grade class. Lynne Zolli used that expectation when introducing a math activity to the students.
Here’s an idea that I was first introduced to about ten years ago by Nicholas Branca, a math educator who contributed profoundly to my thinking about math and teaching. I’ve tried presenting it as a math-in-three-acts investigation.
I began a back-to-school session for elementary teachers by asking everyone to write an opening sentence for Goldilocks and the Three Bears. The teachers were surprised by the request—the session was supposed to focus on teaching math. What was the connection?
The 1-10 Card Investigation has a big payoff with students. It engages their interest, involves them with making sense of a problem and persevering to solve it, and gives them experience with evaluating their progress and changing course as necessary. Plus it has a playful aspect that too often is lost in math class.
Students’ ideas often amaze me, and Lydia’s is one of the most suprising examples. She used 7 x 3 = 21 to figure out that 8 x 4 = 32. She reasoned that since the factors in 7 x 3 were each 1 less than the factors in 8 x 4, she’d just increase each digit in the answer, changing 21 to 32. She was correct! Read about Lydia's discovery, what I did, and what I learned.
After I told Steven, the man seated next to me on an airplane, that I was a math teacher, he described the Dealing in Horses problem that he was given at a corporate management training session. The problem has been one of my teaching staples ever since.
Reading may seem like an odd subject for my math blog, but here I describe how my love of reading and math connected (and my confusion as an emerging reader about hearing voices). This post was included in Open a World of Possible, an anthology from more than 100 contributors that you can access as a free e-book.