Number Talks What are

Number

Talks? use models and explanations that may help a student clarify thinking

confirm and clarify rather than test

allow students to develop understanding over time NUMBER TALKS... 1. Teacher presents a problem.

2. Students figure out possible solutions.

3. Students share their answers.

4. Students share their thinking.

5. The class agrees on the answer for the problem. NUMBER TALK

FORMAT 5 to 15 min. daily classroom discussions To get the most from Number Talk experiences, there needs to be... The teacher

asks critical

thinking questions. Who would like to share their thinking?

Who did it another way?

How many people solved it the same way?

Does anyone have any questions for (student)?

How did you figure that out? Computational

Fluency is... The NCTM states that "Computational fluency

refers to having efficient and accurate methods

for computing. Students exhibit computational

fluency when they demonstrate flexibility in the

computational methods they choose, understand

and can explain these methods, and produce

accurate answers efficiently..." 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 What are the

Goals of

NUMBER TALKS? The primary goal is computational fluency. Common Core 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. Ongoing part of daily routine Number Talks are most

effective if done everyday. Think and reason like mathematicians.

Make connections and look for relationships.

Going beyond memorizing basic facts and procedures.

Share strategies with others to develop mathematical language. A safe environment

Problems of various levels

Concrete models

Opportunities to think first then check

Interaction

Self-Correction What is the TEACHER'S role during Number Talks? Don't teach specific strategies. Carefully select problems making

number relationships evident. Provide problems of varying levels of difficulty. Allow the children to solve the

problem in their own way. Allow children to use concrete models

to develop efficient strategies. Interaction between teacher and students should be

more like a conversation rather than a report. Values everyone's thinking and provides adequate wait time. If the children don't get it, it is the teacher's responsibility to figure out misconceptions. Sample: 76 + 25 A problem in which students

can decompose numbers to solve. Sample: Draw me a figure

with perimeter of 24 units. Sample: The product is 75.

What are the factors?

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# Number Talks PD

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