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1 
Welcome to 
Module 5 
Communication
2 
Getting Started 
Create a mind map. 
Record Co m m unic a tio n a nd 
Ma the m a tic s in the centre of the 
map. Use graphics, diagrams, 
words, pictures, etc., to show 
your ideas on this topic. 
Communication 
and 
Mathematics
3 
Getting Started 
your mind map.
4 
Key Messages 
At the heart of mathematics 
is the process of identifying 
relationships and trying to 
present these relationships 
mathematically in order to 
communicate them to others.
5 
Key Messages 
The secret to successful 
teaching is being able to 
determine what students are 
thinking, and then use that 
information as the basis for 
instruction.
6 
Key Messages 
Through skillfully led 
discussion, teachers will gain 
insight into student 
understanding and students 
will build understanding and 
consolidate learning.
7 
Key Messages 
Students’ writing will also 
reveal and consolidate 
understanding but must be 
prefaced by many oral 
opportunities.
8 
Key Messages 
Whether students are talking 
or writing about their 
mathematical learning, the 
most valuable question that 
a teacher can ask of them is 
“How do you know?” 
How do 
you 
know? There 
are 6.
9 
Working on It 
Promoting 
Opportunities for 
Communication
Promoting Opportunities for Communication 
Fostering students’ 
communication skills is an 
important part of the teacher’s 
role in the mathematics 
classroom. Teachers need to be 
aware of the many kinds of 
opportunities that exist in the 
classroom for helping students 
to communicate. 
10
11 
Promoting Opportunities for Communication 
Read the list of opportunities for 
communication on p. 6.4. 
In groups of four to six, create a graphic 
organizer on chart paper and organize into 
categories the ideas from the list. 
- What kind of graphic organizer will you use? 
- What categories will you use? 
In each of your categories, add another 
example of an opportunity for communication.
12 
Promoting Opportunities for Communication 
with the large group. 
Discuss similarities and differences. 
Similarities Differences
13 
Working on It 
Oral Communication 
Teachers can promote 
students’ communication skills 
by providing models of good 
communication.
14 
Oral Communication 
Help students to develop 
skills in problem solving 
by demonstrating the 
thinking process for 
solving a problem and 
modeling this process in 
oral dialogue.
15 
Oral Communication 
Have student 
volunteers explicitly 
demonstrate what 
good communication 
would, and would not, 
sound like.
16 
Oral Communication 
Can you think 
of another way 
to show that? 
Use prompts and 
questions that help 
students expand 
on their oral 
responses.
17 
Oral Communication 
Here’s my strategy 
for getting more 
Model prompts and 
questions that 
students can use as 
they work together. 
points…
18 
Oral Communication 
If I go there, then she will 
be able to jump me. 
Hmmm… 
I’m going to move 
to H,8 
Encourage students 
to use ‘think time’ 
before they 
communicate.
19 
Oral Communication 
Encourage concrete 
representation as a 
basis for 
communicating 
mathematical 
understanding.
20 
Oral Communication 
Form six expert groups. 
In your expert group: 
Read about a strategy for fostering 
oral communication (pp. 6.6 - 6.7). 
Record your ideas on BLM 5.1: 
- What is the strategy? Give an 
example of what it might sound like. 
- When could the strategy be used 
appropriately?
21 
Oral Communication 
Return to your home 
group.
22 
and 
record 
them on 
BLM 5.1
23 
Questions and Prompts for 
Promoting Communication 
The questions and prompts that 
teachers use will vary to reflect the 
purpose of the communication they 
wish to elicit from students. At different 
times teachers ask students to:
24 
Questions and Prompts for 
Promoting Communication 
Retell; 
Make connections; 
Reflect on their work;
25 
Questions and Prompts for 
Promoting Communication 
 Predict, invent, or problem 
solve; 
 Share their representations of 
mathematical situations; 
 Share their feelings, attitudes, 
or beliefs about mathematics.
26 
A Problem to Solve… 
Form groups of four consisting of 
two ‘students’ and two ‘teachers’. 
The ‘students’ solve the problem. 
The ‘teachers’ use the Question 
and Prompt cards to help support 
their ‘students’ as they solve the 
problem.
27 
A Problem to Solve… 
Two MMaacchhiinneess,, OOnnee JJoobb 
Ron’s Recycle Shop opened when Ron bought a 
used paper-shredding machine. Business was 
good, so he added a new shredding machine. 
The old machine could shred a truckload of 
paper in 4 hours. The new machine could shred 
the same truckload in only 2 hours. How long 
would it take to shred a truckload of paper if Ron 
ran both shredders at the same time? 
- Van de Walle, Ele m e nta ry a nd Mid d le Scho o l Ma the m a tic s : 
Te a ching De ve lo pm e nta lly , Fourth Edition, 2001, Pearson Longman, p. 18
28 
Promoting Written 
Communication 
Talk, then write 
Model 
the 
writing 
process 
Use strategies that 
promote written 
communication 
Provide 
authentic 
writing 
tasks
29 
Promoting Written 
Communication 
Number yourselves from 1 to 5, and 
reorganize into your number groups. 
Each group is responsible for explaining 
three strategies for promoting written 
communication to the large group. 
Record your group’s ideas on chart paper 
for sharing.
30 
Promoting Written 
Communication 
1. Mind Mapping, Model Writing, 
Shared Student Writing, 
2. Think-Talk-Write, Thinking 
Windows, Place Mat, 
3. Procedural Writing, Graphic 
Organizers, Math Word Wall 
4. Math Strategy Wall, Class 
Journals/Logs, Math Picture Books 
5. Poster Projects, Problem Posing, 
Creative Writing
31 
Reflecting and Connecting 
In your classroom… 
Think about communication as you 
plan your math lessons. 
What prompts and questions will you 
use to help students communicate? 
Be prepared to share your 
discoveries at the next session.

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Oral communication

  • 1. 1 Welcome to Module 5 Communication
  • 2. 2 Getting Started Create a mind map. Record Co m m unic a tio n a nd Ma the m a tic s in the centre of the map. Use graphics, diagrams, words, pictures, etc., to show your ideas on this topic. Communication and Mathematics
  • 3. 3 Getting Started your mind map.
  • 4. 4 Key Messages At the heart of mathematics is the process of identifying relationships and trying to present these relationships mathematically in order to communicate them to others.
  • 5. 5 Key Messages The secret to successful teaching is being able to determine what students are thinking, and then use that information as the basis for instruction.
  • 6. 6 Key Messages Through skillfully led discussion, teachers will gain insight into student understanding and students will build understanding and consolidate learning.
  • 7. 7 Key Messages Students’ writing will also reveal and consolidate understanding but must be prefaced by many oral opportunities.
  • 8. 8 Key Messages Whether students are talking or writing about their mathematical learning, the most valuable question that a teacher can ask of them is “How do you know?” How do you know? There are 6.
  • 9. 9 Working on It Promoting Opportunities for Communication
  • 10. Promoting Opportunities for Communication Fostering students’ communication skills is an important part of the teacher’s role in the mathematics classroom. Teachers need to be aware of the many kinds of opportunities that exist in the classroom for helping students to communicate. 10
  • 11. 11 Promoting Opportunities for Communication Read the list of opportunities for communication on p. 6.4. In groups of four to six, create a graphic organizer on chart paper and organize into categories the ideas from the list. - What kind of graphic organizer will you use? - What categories will you use? In each of your categories, add another example of an opportunity for communication.
  • 12. 12 Promoting Opportunities for Communication with the large group. Discuss similarities and differences. Similarities Differences
  • 13. 13 Working on It Oral Communication Teachers can promote students’ communication skills by providing models of good communication.
  • 14. 14 Oral Communication Help students to develop skills in problem solving by demonstrating the thinking process for solving a problem and modeling this process in oral dialogue.
  • 15. 15 Oral Communication Have student volunteers explicitly demonstrate what good communication would, and would not, sound like.
  • 16. 16 Oral Communication Can you think of another way to show that? Use prompts and questions that help students expand on their oral responses.
  • 17. 17 Oral Communication Here’s my strategy for getting more Model prompts and questions that students can use as they work together. points…
  • 18. 18 Oral Communication If I go there, then she will be able to jump me. Hmmm… I’m going to move to H,8 Encourage students to use ‘think time’ before they communicate.
  • 19. 19 Oral Communication Encourage concrete representation as a basis for communicating mathematical understanding.
  • 20. 20 Oral Communication Form six expert groups. In your expert group: Read about a strategy for fostering oral communication (pp. 6.6 - 6.7). Record your ideas on BLM 5.1: - What is the strategy? Give an example of what it might sound like. - When could the strategy be used appropriately?
  • 21. 21 Oral Communication Return to your home group.
  • 22. 22 and record them on BLM 5.1
  • 23. 23 Questions and Prompts for Promoting Communication The questions and prompts that teachers use will vary to reflect the purpose of the communication they wish to elicit from students. At different times teachers ask students to:
  • 24. 24 Questions and Prompts for Promoting Communication Retell; Make connections; Reflect on their work;
  • 25. 25 Questions and Prompts for Promoting Communication  Predict, invent, or problem solve;  Share their representations of mathematical situations;  Share their feelings, attitudes, or beliefs about mathematics.
  • 26. 26 A Problem to Solve… Form groups of four consisting of two ‘students’ and two ‘teachers’. The ‘students’ solve the problem. The ‘teachers’ use the Question and Prompt cards to help support their ‘students’ as they solve the problem.
  • 27. 27 A Problem to Solve… Two MMaacchhiinneess,, OOnnee JJoobb Ron’s Recycle Shop opened when Ron bought a used paper-shredding machine. Business was good, so he added a new shredding machine. The old machine could shred a truckload of paper in 4 hours. The new machine could shred the same truckload in only 2 hours. How long would it take to shred a truckload of paper if Ron ran both shredders at the same time? - Van de Walle, Ele m e nta ry a nd Mid d le Scho o l Ma the m a tic s : Te a ching De ve lo pm e nta lly , Fourth Edition, 2001, Pearson Longman, p. 18
  • 28. 28 Promoting Written Communication Talk, then write Model the writing process Use strategies that promote written communication Provide authentic writing tasks
  • 29. 29 Promoting Written Communication Number yourselves from 1 to 5, and reorganize into your number groups. Each group is responsible for explaining three strategies for promoting written communication to the large group. Record your group’s ideas on chart paper for sharing.
  • 30. 30 Promoting Written Communication 1. Mind Mapping, Model Writing, Shared Student Writing, 2. Think-Talk-Write, Thinking Windows, Place Mat, 3. Procedural Writing, Graphic Organizers, Math Word Wall 4. Math Strategy Wall, Class Journals/Logs, Math Picture Books 5. Poster Projects, Problem Posing, Creative Writing
  • 31. 31 Reflecting and Connecting In your classroom… Think about communication as you plan your math lessons. What prompts and questions will you use to help students communicate? Be prepared to share your discoveries at the next session.