Guided Math in Action: Chapter 7

Conceptual Understanding

• 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

Procedural Fluency

• 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

Strategic Competence

• 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

Adaptive Reasoning

• 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

Mathematical Disposition

• 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!

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