Why?
Are you changing the whole or the parts?
You cubed.com
"Inside the Black Box" - online article from Dylan Willams
"Mental Math". From PrinceEdward Island (google it)
How we set up our problem and the numbers we use matters. How we set up can influence their strategy choices. Do we want them to use pictures, ten frames, do we want to focus on how they use numbers? How you choose to record the problem criteria can influence how the problem is solved.
We need to explicitly illustrate such connections as 9+7=10+6. How do you know?
Annotating thinking is crucial to developing number sense and the strategies they use to find their solution. Exposing students to other thinking is also necessary to further developing their thinking and building math and mental math strategies. Annotating with numbers and pictures may be more effective- reduce the amount of words used.
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