Standards for Mathematical Practice
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SMPs
Make sense of problems & persevere in solving them
Connect to "rigor" and "productive struggle"
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Reason abstractly & quantitatively
Ladder of Abstraction
Non-traditional story problems
Go back to the story
Marissa bus problem
Ability to contextualize and decontextualize
Connect to private think time, turn and talk, speaking and listening.
Modeling vs. word problems
Start with the problem, investigate how we can use math to help solve it.
Calculators for complex problems, but a big focus on mental math.
More than getting the right answer.
Working and speaking with precision.
Using tools (graphs, tables,) to encourage students to be precise.
Gauss
Look for patterns, make generalizations
Explicit vs. recursive generalizations.