Many math textbooks are improving and are more aligned to standards, which is a good thing. But, in my opinion, they are not there yet. I've found that most teachers follow the textbook page by page, problem by problem, so what you see in the textbook is what you'll probably get. (Unless the kids don't get it. Then we have a bigger problem because the march through the textbook waits for no one.)
So what does there look like?
- Less scaffolding - Let kids grapple with the math. They are way smarter than we often give them credit for, even (especially) our kindergarteners. Plus, math is so much more than procedures and steps to follow. It's a beautiful thing to listen to how kids think about math!
- Connections to Prior Knowledge - And by this I don't mean, "Yesterday, we did ..." Begin lessons with a problem that uncovers something important about the day's new learning. Think of it as an entry point into the new learning, something students can use to solve the day's task.
- Open Ended Tasks - Again math is so much more than a set of steps to follow. Open Ended Tasks connect what students already know with new learning. They show the connectedness of math ideas, and they encourage discussions about student's thinking. The new learning is highlighted either by students or by the teacher, and then students can solve a couple of similar problems with a partner to practice the new learning.
- More problems with context - And the flip side, less naked problems. For example, what might addition and subtraction look like in real life? Have you ever looked at a kindergarten textbook? How many times do we count the bugs on leaves in real life?
- Suggestions for In-the-Moment Scaffolding - For example, if I have students in 2nd grade who are still struggling with adding single digit numbers, I would like ideas to support them within the context of the lesson on adding three-digit numbers. Maybe not every school or classroom needs this, but for the teachers that do, it would be a lifesaver.