Upcoming SlideShare
×

# Developing mathematical thinking presentation

940 views

Published on

Published in: Education, Technology
0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
940
On SlideShare
0
From Embeds
0
Number of Embeds
1
Actions
Shares
0
15
0
Likes
0
Embeds 0
No embeds

No notes for slide

### Developing mathematical thinking presentation

1. 1. Developing Mathematical Thinking with Effective Questioning Presented by Jamal Hutchinson, Numeracy Coach
2. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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>
12. 12. References <ul><li>Effective Questioning http://www.slideshare.net/kellyhearnsmith/effective-questioning-1653595 retrieved 8/31/09 </li></ul><ul><li>Developing Mathematical Thinking Through Effective Questioning http://www.pbs.org/teacherline/resources/questionsheet_vma.pdf?cc = tlredir retrieved 8/31/09 </li></ul><ul><li>Effective Questioning Techniques http://edis.ifas.ufl.edu/WC084 retrieved 8/31/09 </li></ul>