One of the strategies that the Math Forum introduces to students who are problem solving is something that we call Noticing and Wondering.
We ask students to make a list of all of the mathematical information and relationships they notice about the problem, and everything they wonder about the problem. Their noticings may include:
 The quantities that can be counted or measured.
 Relationships between quantities.
 Information that is not given in the problem.
 Key words from the problem.
Your wonderings may include:
 I wonder what will happen if ...
 I wonder what this word means ...
 I wonder if this pattern will continue ...
Let's try it with this picture of three glasses and also a picture of four graphs.

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