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Effective Math Questioning. Why are the questions we ask our students so important?. Promotes higher level thinking Facilitates productive discussion in the classroom Students are better able to make sense of ideas, demonstrate understanding, and reflect on their thinking. Types of Questions.
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Why are the questions we ask our students so important? • Promotes higher level thinking • Facilitates productive discussion in the classroom • Students are better able to make sense of ideas, demonstrate understanding, and reflect on their thinking.
Types of Questions • Closed Ended – Many of the questions we ask students call for a single number, figure, or mathematical objects. • What is 6x8? • Open Ended – These questions allow a variety of correct responses and elicit a different kind of student thinking? • How could you use 5x6 to find the answer to 8x6?
Closed Ended Questions What is 8x6? 48
Open Ended Questions How could you use 5x6 to find the answer to 8x6?
The Open Ended Question allows students to think critically and demonstrate their own ways of solving the problem.
Creating Open Ended Questionsfrom Closed Ended Questions What is the area of the square? What will happen to the area of the square if the length is doubled? What is the perimeter of the rectangle? Can you draw a rectangle whose perimeter is 20 inches?
Creating Open Ended Questionsfrom Closed Ended Questions Try it!
What are good questions? • They require more than remembering a fact or reproducing a skill. • Students can learn by answering the question and the teacher can learn about each student from the attempt. • There are several acceptable answers.
Effective Math Questions Can you describe the problem in your own words?
Effective Math Questions Can you convince us that your solution makes sense?
Effective Math Questions Will that always work?
Effective Math Questions How does this relate to ______?
Effective Math Questions Could you restate what ________ said?
Effective Math Questions Could you explain your thinking?
Effective Math Questions Could you use materials to show how this works?
Effective Math Questions Will someone who solved it in a different way explain your thinking?
Effective Math Questions What do you already know that could help you figure it out?
Effective Math Questions What would happen if _________?
Invitational Group & Intervention GroupQuestions • Could you explain the problem in your own words? • Is there information that can be eliminated or is missing? • What have you tried?
Strategies to Improve Questioning • Plan questions in lesson design • Choose a variety of questions • Video some lessons to assess level of questioning • Focus questions on student understanding; remove focus from right/wrong answers. • Assume all student answers are meaningful. • Allow multiple opportunities for interaction centered around math ideas: questioning, discussion, and reflection. • Increase wait time.