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