Embracing Number Talks for Mathematical Growth

NUMBER TALKS
Supports the idea
that……
 
Math
 
is not 
a set of rules and procedures
Math
 
is
 
the relationship between numbers and there are
many ways to create and build relationships
 
Factors for Success in Math
 
Accuracy
- 
the ability to produce an accurate
answer
 
Efficiency
- 
the ability to choose an appropriate
                            strategy
 
Flexibility
- 
the ability to use number relationships
 
What is Number Talks?
 
Number Talks
 are discussions about a particular problem that
has been crafted in such a way that the key foundational ideas
of mathematics can be evaluated and demonstrated
These talks take about 
5-15 minutes 
and are typically held 
3-5
times
 a week.
These talks allow students to share their thoughts and ideas
about math. It can be taught in whole or small groups
This gives you flexibility to meet the varying needs of your
students.
www.
youtube.c om
/watch?v=kfHxzcZKq3E
 
Designing a Number Talk
Students get a chance to see the relationships and explore them
 
“silent thumb” to
give students “think
time.”
no answer is wrong.
Students “defend” or
“dispute” a strategy.
students can agree or
disagree with anyone
in the class including
themselves.
 
Open ended
questions allow the
students to clarify
and provide
additional ideas
share his/her
thought process
seeing that there
truly are multiple
ways to solve a
problem.
 
THE CLASSROOM ENVIRONMENT AND
COMMUNITY IS THE KEY TO SUCCESS.
 
The teacher is seen as a guide not the master……..
-
Students are asked to clarify their own thinking,
consider and test strategies, investigate and apply
relationships, and learn that making mistakes and taking
risks can and does lead to success
-Students don’t simply find the solution to a problem
and then move on. They are challenged to see how
many different ways they can solve the same problem.
 
First, the teacher must shift his/her thinking away from: What
answer did you get? to How did you get that answer?
 Also, you have to teach your students to keep their comments
on task or else your Number Talks will go on forever!
 
There are a few challenges to
implementing Number Talks.
 
                    Questions
 
How is math currently taught in your classroom?
What are the strengths/weaknesses in this area?
What is your philosophy of math? How is your
classroom environment structured?
Do you have an extra 10 minutes in your day that
you can devote to math discussions?
How can you keep students on task during
discussions?
 
                      
Chapter 2
 
Preparing For Number Talks
 
Procedures and Expectations
 
1- Designated Location
2- Provide wait time
3- Accept, respect, and consider all
        answers
4- Encourage student communication
 
Number Talks
 
Location
 
Whole class or small
group
 Create a cozy
intimate  place
Promotes
conversation
 
Wait Time
 
Promote think time
Silent thumb signal
Wait until everyone is
ready
Encourage multiple
ways
 
Number Talks
 
Discussion Time
 
Prompts help
students formulate
their answers  in
respect to matter
Accept other peoples
perspectives
Be good listeners
 
l
i
s
t
e
n
 
 
Questions
 
1- What area will you designate in your classroom for
Number Talks
?
 
2- What signals will you use to allow for wait time?
 
3- How will you encourage/ensure all students to
participate?
 
4- How will you scaffold conversations?
 
5- How will you hold the students accountable for the
materials discussed?
 
Number Talks for Grades K-2
 
     
There are 4 goals for grades K-2 using
Number Talks:
(1) Developing number sense
(2) Developing fluency with small
numbers
(3) Subitizing,
(4) Making tens.
 
  Developing Number Sense
 
An awareness and understanding about what numbers
are, their relationships, their magnitude, the relative
effect of operation on numbers( mental math
estimation) 
Fennell and Landis
 
Goal of Number Talks is to further student’s development
of number sense
Struggling students can not estimate or determine
reasonable answers because they have memorized
procedures and formulas
 
What Does Number Talks Look Like in the
Classroom
 
Dot images, rekeneks, five-frames, ten-frames,
number lines, and hundred charts……..
1-  Provide experiences
2- Connect math to real life
3- Learn how to anticipate your
students thinking
4- Sections devoted to grade levels
 
 
Kindergarten
 
Number talks focus 
- counting, building
fluency, developing one-to-one
correspondence and conservation of
numbers
Encouraged to give careful thought to visual
and spacial arrangements of geometric
models
Each example includes instructions, a
graphic, and what to discuss with those
cutie kinders you are teaching.
 
1  2  3  4  5  6  7  8  9  10
 
1st
 
GOAL
- 
to provide students with opportunities
to build fluency with numbers and develop
addition strategies
You will continue to utilize the tools and
models of Kinder but you are focusing on the
reasoning with numbers
you have pages of graphics, instructions, and
talks to use. There is also a list of addition
strategies for you to use with your students.
 
1  2  3  4  5  6  7  8  9  10
 
2nd
 
GOAL
- 
to elicit and foster specific
computation strategies. You start the year
off with small numbers and grow into larger
ones as the year goes on.
 
start the year off with small numbers and
grow into larger ones as the year goes on.
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Number Talks support the idea that math is about relationships between numbers, fostering accuracy, efficiency, and flexibility in problem-solving. These discussions allow students to explore various strategies, encouraging a deep understanding of foundational mathematical concepts. Through open-ended questions and a guided approach, both teachers and students engage in a collaborative learning environment. Emphasizing multiple problem-solving pathways over simple solutions, Number Talks promote critical thinking and mathematical fluency.

  • Number Talks
  • Mathematics Education
  • Problem-Solving
  • Student Engagement
  • Learning Strategies

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  1. NUMBER TALKS Supports the idea that Mathis not a set of rules and procedures Math is the relationship between numbers and there are many ways to create and build relationships

  2. Factors for Success in Math Accuracy-the ability to produce an accurate answer Efficiency-the ability to choose an appropriate strategy Flexibility-the ability to use number relationships

  3. What is Number Talks? Number Talks are discussions about a particular problem that has been crafted in such a way that the key foundational ideas of mathematics can be evaluated and demonstrated These talks take about 5-15 minutes and are typically held 3-5 times a week. These talks allow students to share their thoughts and ideas about math. It can be taught in whole or small groups This gives you flexibility to meet the varying needs of your students. www.youtube.c om/watch?v=kfHxzcZKq3E

  4. Designing a Number Talk Students get a chance to see the relationships and explore them silent thumb to give students think time. no answer is wrong. Students defend or dispute a strategy. students can agree or disagree with anyone in the class including themselves. Open ended questions allow the students to clarify and provide additional ideas share his/her thought process seeing that there truly are multiple ways to solve a problem.

  5. The teacher is seen as a guide not the master.. -Students are asked to clarify their own thinking, consider and test strategies, investigate and apply relationships, and learn that making mistakes and taking risks can and does lead to success -Students don t simply find the solution to a problem and then move on. They are challenged to see how many different ways they can solve the same problem. THE CLASSROOM ENVIRONMENT AND COMMUNITY IS THE KEY TO SUCCESS.

  6. First, the teacher must shift his/her thinking away from: What answer did you get? to How did you get that answer? Also, you have to teach your students to keep their comments on task or else your Number Talks will go on forever! There are a few challenges to implementing Number Talks.

  7. Questions How is math currently taught in your classroom? What are the strengths/weaknesses in this area? What is your philosophy of math? How is your classroom environment structured? Do you have an extra 10 minutes in your day that you can devote to math discussions? How can you keep students on task during discussions?

  8. Chapter 2 Preparing For Number Talks Procedures and Expectations 1- Designated Location 2- Provide wait time 3- Accept, respect, and consider all answers 4- Encourage student communication

  9. Number Talks Location Whole class or small group Create a cozy intimate place Promotes conversation Wait Time Promote think time Silent thumb signal Wait until everyone is ready Encourage multiple ways

  10. Number Talks Discussion Time l i s t e n Prompts help students formulate their answers in respect to matter Accept other peoples perspectives Be good listeners

  11. Questions 1- What area will you designate in your classroom for Number Talks? 2- What signals will you use to allow for wait time? 3- How will you encourage/ensure all students to participate? 4- How will you scaffold conversations? 5- How will you hold the students accountable for the materials discussed?

  12. Number Talks for Grades K-2 There are 4 goals for grades K-2 using Number Talks: (1) Developing number sense (2) Developing fluency with small numbers (3) Subitizing, (4) Making tens.

  13. Developing Number Sense An awareness and understanding about what numbers are, their relationships, their magnitude, the relative effect of operation on numbers( mental math estimation) Fennell and Landis Goal of Number Talks is to further student s development of number sense Struggling students can not estimate or determine reasonable answers because they have memorized procedures and formulas

  14. What Does Number Talks Look Like in the Classroom Dot images, rekeneks, five-frames, ten-frames, number lines, and hundred charts .. 1- Provide experiences 2- Connect math to real life 3- Learn how to anticipate your students thinking 4- Sections devoted to grade levels

  15. Number talks focus - counting, building fluency, developing one-to-one correspondence and conservation of numbers Encouraged to give careful thought to visual and spacial arrangements of geometric models Each example includes instructions, a graphic, and what to discuss with those cutie kinders you are teaching. Kindergarten

  16. GOAL- to provide students with opportunities to build fluency with numbers and develop addition strategies You will continue to utilize the tools and models of Kinder but you are focusing on the reasoning with numbers you have pages of graphics, instructions, and talks to use. There is also a list of addition strategies for you to use with your students. 1 2 3 4 5 6 7 8 9 10 1st

  17. GOAL- to elicit and foster specific computation strategies. You start the year off with small numbers and grow into larger ones as the year goes on. start the year off with small numbers and grow into larger ones as the year goes on. 1 2 3 4 5 6 7 8 9 10 2nd

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