- Students have a conceptual understanding of what they are doing.
- Teachers use manipulatives, scaffolds, and tools.
- Students work together, with a partner, or alone to solve problems.
- New Common Core standards ask that students be able to explain and illustrate their understanding of concepts
- Understanding how to do mathematical procedures
- Students use their conceptual understanding to compute flexibly using different methods.
- Written procedures, mental math, use of calculators, computers, or manipulatives
- Students being able to solve problems & represent their thinking
- Students represent their thinking numerically, symbolically, verbally, or graphically
- Students look for a "pathway" to find the solution
- Students can think logically about math
- Students can explain and justify what they are doing
- Teachers create a talk-friendly environment
- Students need to know what they say is important & they will not be mocked or belittled
- Students should be able to explain their thinking aloud to a group of people, make connections with their thoughts
- Teachers should boost students' confidence by giving scaffolded "just-right" problems that they can solve successfully.
- Teachers foster flexibility by talking about more than one way to do something
- Encourage perseverance by allowing students time to "wrestle with the problem"
- Students should always be given the chance to reflect about the math they are learning
I'm heading off for vacation on Friday, so unfortunately I won't be able to participate in the last few chapters of this book study. I've really enjoyed reading Dr. Nicki's book, and I will finish it on my own.
Thank you Sarah & Courtney for hosting this book study! It's definitely expanded my math horizons!