**Number Talks**

Opportunities for students to:

reason about numbers and justify their thinking

gain an understanding of what numbers mean

apply and discuss computation strategies through shared experiences (whole or small group setting)

What are Number Talks?

Students will:

clarify their own thinking

consider and test other strategies

investigate & apply mathematical relationships

build a repertoire of efficient strategies

make decisions about choosing strategies for specific problems

What are the benefits of sharing and discussing computation strategies?

Create a risk-free classroom environment where students feel comfortable offering responses and questioning themselves & peers.

Encourage students to use mental math to build on number relationships rather than memorized procedures.

What are the key components

of NUMBER TALKS?

10 to 15 min. daily classroom discussions

What is the teacher's role in the NUMBER TALK?

determines the purpose and operation for the discussion

writes the problem on the board (horizontally to encourage students to think about numbers as whole quantities instead of discrete columns)

gives time for students to solve the equations mentally

records all answers

acts as facilitator, questioner, & listener

discusses examples and questions students on how they arrived at their answer

What is the students' role in the number talk?

mentally solve equations accurately (correctly), efficiently (choose an appropriate strategy), and flexibly (use number relationships with ease in computation)

place their thumb on their chest when they are ready

add additional fingers for each solution found

Procedures & Expectations

Select a designated location that allows you to maintain close proximity to your students for informal observations and interactions.

Provide appropriate wait time for the majority of the students to access the problem.

Accept, respect, & consider all answers (wrong answers may be rooted in misconceptions).

Encourage student communication throughout the number talk.

Goals of K-2

developing number sense

developing fluency with small numbers

subitizing numbers

making tens

Goals of 3-5

number sense

place value

fluency

properties

connecting mathematical ideas

counting on

counting all

doubles/near doubles

making tens

making landmark numbers

compensation

breaking each number

into its place value

adding up/adding on

counting back

keeping a constant

difference

adjusting one number to

create an easier problem

repeated addition

skip counting

partial products

doubling and halving

breaking factors into

smaller factors

repeated subtraction

multiplying up

partial quotients

proportional reasoning

How are

NUMBER TALKS

organized?

Kindergarten uses dot images, rekenreks, and five & ten frames to build build fluency.

All other number talks are organized by operations and strategies.

1st- addition

2nd- addition & subtraction

3rd, 4th, & 5th- addition, subtraction, multiplication,

& division

GSE-Standards for Mathematical Practice

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.