by ellenmanson on May 21, 2014

by ellenmanson on April 4, 2014

**We can use the following questions to help students:**

**…. work together to make sense of mathematics**

- What do others think about what _____ said?
- Do you agree? Disagree?
- Does anyone have the same answer but a different way to explain it?
- Would you ask the rest of the class that question?
- Do you understand what they are saying?
- Can you convince the rest of us that makes sense?

**… rely more on themselves to determine whether something is mathematically correct**

- Why do you think that?
- Why is that true?
- How did you reach that conclusion?
- Does that make sense?
- Can you make a model to show that?

**… learn to reason mathematically**

- Does that always work?
- Is that true for all cases?
- Can you think of another example?
- How could you prove that?

**… learn to conjecture, invent, and solve problems**

- What would happen if…?
- Do you see a pattern?
- What are some other possibilities here?
- Can you predict the next one? Can you go backward one?
- How did you think about the problem?
- What decision do you think __________ should make?
- Can you compare your solution with _______’s? What is alike? What is different?

**… connect mathematics, its ideas and its applications**

- How does this relate to ________?
** **
- What ideas have we learned before that might be useful in solving this problem?
- Have we ever solved a problem like this one before? Can you give an example?
- What uses of mathematics did you find (in the paper, in a magazine, on TV)?
- Can you give me an example of where you might see _______?

*Adapted from the Professional Standards (NCTM, 1991, p. 3-4)