developing mathematical thinking presentation
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Developing Mathematical Thinking with Effective Questioning
Presented by Jamal Hutchinson, Numeracy Coach
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.
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
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
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
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
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
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
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
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
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
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