Developing Mathematical Thinking with Effective Questioning
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Transcript of Developing Mathematical Thinking with Effective Questioning
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Developing Mathematical Thinking with Effective Questioning
Presented by Jamal Hutchinson, Numeracy Coach
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Purpose of Effective Questioning
Teach independent thinking Assess the level of students'
comprehension. Develop student interest or
motivation. Develop thinking skills. Establish relationships between
concepts.
![Page 3: Developing Mathematical Thinking with Effective Questioning](https://reader030.fdocuments.us/reader030/viewer/2022033101/56812e3d550346895d93b931/html5/thumbnails/3.jpg)
To help students build confidence and rely on their own understanding
Can you make a model to show that?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
![Page 4: Developing Mathematical Thinking with Effective Questioning](https://reader030.fdocuments.us/reader030/viewer/2022033101/56812e3d550346895d93b931/html5/thumbnails/4.jpg)
To help students learn to reason mathematically
What assumptions are you making?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
![Page 5: Developing Mathematical Thinking with Effective Questioning](https://reader030.fdocuments.us/reader030/viewer/2022033101/56812e3d550346895d93b931/html5/thumbnails/5.jpg)
To check student progress Do you think this would work with other
numbers?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
![Page 6: Developing Mathematical Thinking with Effective Questioning](https://reader030.fdocuments.us/reader030/viewer/2022033101/56812e3d550346895d93b931/html5/thumbnails/6.jpg)
To help students collectively make sense of mathematics
Do you understand what question is saying?
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
![Page 7: Developing Mathematical Thinking with Effective Questioning](https://reader030.fdocuments.us/reader030/viewer/2022033101/56812e3d550346895d93b931/html5/thumbnails/7.jpg)
To encourage conjecturing
What are some possibilities here?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
![Page 8: Developing Mathematical Thinking with Effective Questioning](https://reader030.fdocuments.us/reader030/viewer/2022033101/56812e3d550346895d93b931/html5/thumbnails/8.jpg)
To promote problem solving
What do you need to find out?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
![Page 9: Developing Mathematical Thinking with Effective Questioning](https://reader030.fdocuments.us/reader030/viewer/2022033101/56812e3d550346895d93b931/html5/thumbnails/9.jpg)
To help when students get stuck
What facts do you have?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
![Page 10: Developing Mathematical Thinking with Effective Questioning](https://reader030.fdocuments.us/reader030/viewer/2022033101/56812e3d550346895d93b931/html5/thumbnails/10.jpg)
To make connections among ideas and applications
How did you get your answer?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
![Page 11: Developing Mathematical Thinking with Effective Questioning](https://reader030.fdocuments.us/reader030/viewer/2022033101/56812e3d550346895d93b931/html5/thumbnails/11.jpg)
To encourage reflection
How did you get your answer?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
![Page 12: Developing Mathematical Thinking with Effective Questioning](https://reader030.fdocuments.us/reader030/viewer/2022033101/56812e3d550346895d93b931/html5/thumbnails/12.jpg)
References1. Effective Questioning
http://www.slideshare.net/kellyhearnsmith/effective-questioning-1653595 retrieved 8/31/09
2. Developing Mathematical Thinking Through Effective Questioning http://www.pbs.org/teacherline/resources/questionsheet_vma.pdf?cc=tlredir retrieved 8/31/09
3. Effective Questioning Techniques http://edis.ifas.ufl.edu/WC084 retrieved 8/31/09