I just learned about Factors and Multiples, a shelter-at-home game that’s engaging as solitaire and can be played as a two-person game either cooperatively or competitively. (I’ve played it both ways.) It’s intriguing for both adults and kids (as long as players know about factors and multiples of numbers up to 100). It’s a keeper.
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.
Have you ever asked students to solve 12.6 x 10, and they respond that the answer is 12.60? I have, many times. Students who do this apply a pattern that works when they multiply whole numbers by 10—they tack on a zero to the end of the number they’re multiplying. But then they apply the same pattern when working with decimals. What can we do?
A friend and I were talking recently about how much work we put into planning lessons. Even after all these years of teaching, I have to think through lessons as carefully as possible, both about the logistics and about the mathematical thinking I want to keep in mind and support. Here’s an example.
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.
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.
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.