Clip 4/8: Standard 8: Look for & Express Regularity in Repeated Reasoning Using Fractions Part 3C
As they work to solve a problem, mathematically proficient students maintain oversight of the process, while attending to the details. They continually evaluate the reasonableness of their intermediate results.
Michelle Makinson challenges her students to individually select one grouping of representations from their chart, and move those representations over to a poster without the justifications. Each student then writes responses to several questions, each of which has a sentence stem prompt:
Why did you select this grouping? / I selected this grouping because...
How do you know that all the cards represent the same quantity? / I know that all the cards represent the same quantity because...
When sharing your work with other pairs, what did you learn from the discussion? / When I shared my chart with another partnership I learned... from the discussion.
This clip also relates to standard 1 (make sense of problems & persevere in solving them).