Chapter 5 Summary
My Big Takeaway
- Use tasks that have multiple solution paths.
- Add an element of inquiry.
- Introduce the problem before teaching the method.
- Add a visual.
- Modify the task to lower the floor and raise the ceiling.
- Encourage students to convince and reason.
Ways to Use this New Knowledge to Support Our Students in the Classroom
- When completing math tasks, ask students to explain why their solution makes sense. This will allow students to see that there are multiple ways to arrive at the same solution.
- Create tasks where students have to do the thinking not duplicate a process while rehearsing a skill.
- Allow students to create their own strategies while wrestling with a task before providing the method or procedure to solve it efficiently.
- Ask students to draw a picture to represent a problem or solution.
- Create opportunities for all students to have access to a problem, including low entry points and extensions.
- Encourage students to think of ways they might be able to convince others that their reasoning is correct. Have them practice convincing themselves, a friend, and a skeptic. (p. 87).
Developing rich mathematical tasks encourages a growth mindset and allows students the opportunity to be engaged and get excited about mathematics while increasing their learning potential.
- Boaler, J. (2016). Mathematical Mindsets. San Francisco, CA: Jossey-Bass