1. NUMBER TALKS DAY TWO: CHAPTER 2: HOW DO I PREPARE FOR NUMBER TALKS? DENISE BRADY - MATHEMATICS CONSULTANT

2. THOUGHTS SINCE YESTERDAY DENISE BRADY - MATHEMATICS CONSULTANT

3. NUMBER TALKS TEACHERS AS LEARNERS VIDEO CLIPS: A.3 AND T.K DENISE BRADY - MATHEMATICS CONSULTANT

4. KEY COMPONENTS OF A NUMBER TALK: Classroom Environment and Community Classroom Discussions The Teacher’s Role The Role of Mental Math Purposeful Computation Problems

5. CLASSROOM ENVIRONMENT AND COMMUNITY CLASSROOM VIDEO CLIP: K.1 DENISE BRADY - MATHEMATICS CONSULTANT

6. CLASSROOM ENVIRONMENT AND COMMUNITY Cohesive, safe, risk-free, mutual respect Students comfortable offering responses Students question themselves/peers Students investigate new strategies DENISE BRADY - MATHEMATICS CONSULTANT

7. CLASSROOM DISCUSSIONS Students have time to solve the problem mentally Silent signals Encouraged to find more strategies/efficient strategies All answers correct or incorrect are acknowledged Wrong answers are used as opportunities to unearth misconceptions and for students to investigate their thinking and learn from their mistakes DENISE BRADY - MATHEMATICS CONSULTANT

8. BENEFITS OF SHARING AND DISCUSSING COMPUTATION STRATEGIES CLASSROOM VIDEO CLIP: 5.2 DENISE BRADY - MATHEMATICS CONSULTANT

9. BENEFITS OF SHARING AND DISCUSSING COMPUTATION STRATEGIES Students have an opportunity to: Clarify their own thinking Consider and test additional strategies to see if they are mathematically logical Investigate and apply mathematical relationships Build a repertoire of efficient strategies Make decisions about choosing efficient strategies for specific problems DENISE BRADY - MATHEMATICS CONSULTANT

10. THE TEACHER’S ROLE The Teacher IS NOT the Ultimate Authority! Questioner, Facilitator, Listener, Learner Keeps the discussion focused on the important mathematics Help students make connections/build on meaningful mathematics DENISE BRADY - MATHEMATICS CONSULTANT

11. THE ROLE OF MENTAL MATH Mental computation is a key component of number talks because it encourages students to build on number relationships to solve problems instead of relying on memorized procedures. One of the purposes of a number talk is for the students to focus on number relationships and use these relationships to develop efficient, flexible strategies with accuracy. It helps students strengthen their understanding of place value. DENISE BRADY - MATHEMATICS CONSULTANT

12. PURPOSEFUL COMPUTATION PROBLEMS MAKE SURE YOU KNOW THE GOAL YOU WANT TO ACHIEVE IN DESIGNING THE NUMBER TALK. For example: If the goal is to help students use strategies that build upon using tens 20x4, 19x4, 30x3, 29x3, 40x6, 39x6 How does this support or not support the goal? 39x5, 65-18, 148+324 How does this support or not support the goal? DENISE BRADY - MATHEMATICS CONSULTANT

13. Number Talks can be a purposeful vehicle for: Making sense of mathematics Developing efficient computation strategies Communicating mathematically Reasoning and proving solutions DENISE BRADY - MATHEMATICS CONSULTANT

14. BREAK 10 MINUTES!

15. FOUR GOALS FOR K-2 NUMBER TALKS 1. Developing Number Sense An awareness and understanding about what numbers are, their relationships, their magnitude, the relative effect of operating on numbers, including the use of mental mathematics and estimation (pgs. 35-36) 2. Developing fluency with small numbers Knowing how a number can be composed and decomposed and using that information to be flexible and efficient with solving problems. (pg 38) 3. Subitizing The ability to immediately recognize a collection of objects as a single unit (pg 38) 4. Making Tens Making groups of ten in order to develop and understand place value DENISE BRADY - MATHEMATICS CONSULTANT

16. FIVE GOALS FOR 3-6 NUMBER TALKS 1. Number Sense An awareness and understanding about what numbers are, their relationships, their magnitude, the relative effect of operating on numbers, including the use of mental mathematics and estimation (pg 158) 2. Place Value At grades 3-6 understanding place value is demonstrated through applying understanding in computation. 3. Fluency Is knowing how a number can be composed and decomposed and using that information to be flexible and efficient with solving problems. (pg 159) 4. Properties Understanding and applying the commutative, associative, distributive and identity properties and why they work. 5. Connecting Mathematical Ideas Understanding that mathematical concepts are related and make sense.

17. HOMEWORK: QUESTIONS FOR PERSONAL REFLECTION ON PAGE 333. COME PREPARED TO DISCUSS WITH A GRADE LEVEL PARTNER TOMORROW DAY 3: GRADES K-2: READ SECTION II – CHAPTERS 3 AND 4 GRADES 3-4: READ SECTION III - CHAPTERS 5 AND 6 GRADES 5-6: READ SECTION III – CHAPTERS 7 AND 8 DENISE BRADY - MATHEMATICS CONSULTANT