1. Developing Mathematical Thinking with Effective Questioning Presented by Jamal Hutchinson, Numeracy Coach
2. Purpose of Effective Questioning <ul><li>Teach independent thinking </li></ul><ul><li>Assess the level of students' comprehension. </li></ul><ul><li>Develop student interest or motivation. </li></ul><ul><li>Develop thinking skills. </li></ul><ul><li>Establish relationships between concepts. </li></ul>
3. To help students build confidence and rely on their own understanding <ul><ul><ul><li>Can you make a model to show that? </li></ul></ul></ul><ul><li>Plot the points L(-4,2), M(-1,-1), N(2,2), Q(4,-1), and P(2,4). Then measure and classify the following angles as acute, right, obtuse, or straight. LMN, LMP, NMQ, LMQ </li></ul>
4. To help students learn to reason mathematically <ul><li>What assumptions are you making? </li></ul><ul><li>Plot the points L(-4,2), M(-1,-1), N(2,2), Q(4,-1), and P(2,4). Then measure and classify the following angles as acute, right, obtuse, or straight. LMN, LMP, NMQ, LMQ </li></ul>
5. To check student progress <ul><li>Do you think this would work with other numbers? </li></ul><ul><li>Plot the points L(-4,2), M(-1,-1), N(2,2), Q(4,-1), and P(2,4). Then measure and classify the following angles as acute, right, obtuse, or straight. LMN, LMP, NMQ, LMQ </li></ul>
6. To help students collectively make sense of mathematics <ul><li>Do you understand what question is saying? </li></ul><ul><li>Plot the points L(-4,2), M(-1,-1), N(2,2), Q(4,-1), and P(2,4). Then measure and classify the following angles as acute, right, obtuse, or straight. LMN, LMP, NMQ, LMQ </li></ul>
7. To encourage conjecturing <ul><li>What are some possibilities here? </li></ul><ul><li>Plot the points L(-4,2), M(-1,-1), N(2,2), Q(4,-1), and P(2,4). Then measure and classify the following angles as acute, right, obtuse, or straight. LMN, LMP, NMQ, LMQ </li></ul>
8. To promote problem solving <ul><li>What do you need to find out? </li></ul><ul><li>Plot the points L(-4,2), M(-1,-1), N(2,2), Q(4,-1), and P(2,4). Then measure and classify the following angles as acute, right, obtuse, or straight. LMN, LMP, NMQ, LMQ </li></ul>
9. To help when students get stuck <ul><li>What facts do you have? </li></ul><ul><li>Plot the points L(-4,2), M(-1,-1), N(2,2), Q(4,-1), and P(2,4). Then measure and classify the following angles as acute, right, obtuse, or straight. LMN, LMP, NMQ, LMQ </li></ul>
10. To make connections among ideas and applications <ul><li>How did you get your answer? </li></ul><ul><li>Plot the points L(-4,2), M(-1,-1), N(2,2), Q(4,-1), and P(2,4). Then measure and classify the following angles as acute, right, obtuse, or straight. LMN, LMP, NMQ, LMQ </li></ul>
11. To encourage reflection <ul><li>How did you get your answer? </li></ul><ul><li>Plot the points L(-4,2), M(-1,-1), N(2,2), Q(4,-1), and P(2,4). Then measure and classify the following angles as acute, right, obtuse, or straight. LMN, LMP, NMQ, LMQ </li></ul>
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