## Effective QuestioningAdapted from NCSM Great Tasks for Mathematics, 6-12 by Schrock, Norris, Pugalee, Seitz, and Hollingshead, 2013 |
Download a handout on Effective Questioning from our Math Teaching Toolkit here > > > |

You can promote discourse and stimulate student thinking through effective questioning. This, in turn, develops the habits of mind suggested by the Standards for Mathematical Practice. Here is a list of questions from the Professional Standards in Teaching Mathematics, grouped into categories that reflect the mathematical practices.

➢ “Do you agree? Disagree?”

➢ “Does anyone have the same answer but a different way to explain it?”

➢ “Do you understand what they are saying?”

➢ “Why do you think that?”

➢ “Why is that true?”

➢ “How did you reach that conclusion?”

➢ “Can you make a model to show that?”

➢ “Can you think of a counterexample?”

➢ “How can you prove that?”

➢ “What assumptions are you making?”

➢ “Do you see a pattern?”

➢ “What is alike and what is different about your method and her method to solve the problem?”

➢ “Can you predict the next one? What about the last one?”

➢ “How does this relate to ___________?”

➢ “Have you ever solved a problem like this before?”

➢ “Can you give me an example of _________?”

**❖ Helping students work together to make sense of mathematics:**

➢ “What do others think about what Janine said?”➢ “Do you agree? Disagree?”

➢ “Does anyone have the same answer but a different way to explain it?”

➢ “Do you understand what they are saying?”

**❖ Helping students to 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?”

➢ “Can you make a model to show that?”

**❖ Helping student learn to reason mathematically**

➢ “Does that always work?”➢ “Can you think of a counterexample?”

➢ “How can you prove that?”

➢ “What assumptions are you making?”

**❖ Helping students learn to conjecture, invent, and solve problems:**

➢ “What would happen if…? What if not?”➢ “Do you see a pattern?”

➢ “What is alike and what is different about your method and her method to solve the problem?”

➢ “Can you predict the next one? What about the last one?”

**❖ Helping students to connect mathematics, its ideas, and its applications:**

➢ “How is this process like others that you have used?”➢ “How does this relate to ___________?”

➢ “Have you ever solved a problem like this before?”

➢ “Can you give me an example of _________?”