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Mathematical Practices

QUESTIONS TO ASK THAT MOVE STUDENTS TO BECOME MATHEMATICALLY PROFICIENT:


Mathematical Practice	How did the student demonstrate this practice?
1 Make sense of problems and persevere in solving them.	How would you describe the problem in your own words? What do you know that is not stated in the problem? Could you try this with simpler numbers? Fewer numbers? Would it help to create a diagram? Make a table? Draw a picture?
2 Reason abstractly and quantitatively.	What does it mean when…
3 Construct viable arguments and critique the reasoning of others.	What do you think about what ____ said? Do you agree? Why/why not? Can you explain what ______ is saying? Can you explain why his/her strategy works? How is your strategy similar to ______’s? Can you convince the rest of us that your answer makes sense?
4 Model with mathematics.	What number sentence represents your drawing/picture/representation? How could we use symbols to represent what’s happening?
5 Use appropriate tools strategically.	How did using that tool help you solve the problem? If we didn’t have access to that tool, what other one would you have chosen?
6 Attend to precision.	Can you tell me why that is true? How did you reach your conclusion? How does your answer connect to the question? Does it make sense? Can you make a model to show that? Can you convince the rest of us that your answer makes sense? What new words did you use today? How did you use them?
7 Look for and make use of structure.	How do you know your rule/equation will always work?
8 Look for and express regularity in repeated reasoning.	Is there a shortcut / algorithm you could use?