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We’re  Talking  Numbers!

Kathy  RoemmeleMathematics  Instructional  CoachElk  Grove  Unified  School  District

Our  Math  Journey

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What  Learning  Looks  Like

OutcomesO Acquire  an  understanding  of  the  purpose  and  practice  of  Number  Talks

O Become  familiar  with  common  tools,  strategies  and  procedures

O Explore  what  students  and  teachers  say  and  do  to  activate  strategic  thinking  about  numbers

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Five  Goals  of  Number  Talks

O Number  senseO Place  ValueO Fluency  O PropertiesO Mathematical  ideas

Design  of  Number  Talks:  Strings

O Builds  mental  facility  with  a  computational  strategy  and  concept.

O Starts  with  small  numbers  to  emphasize  strategy  and  build  confidence

O Consists  of  a  series  of  3-­‐5  related  computational  problems

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Focus  of  Strings

O AdditionO SubtractionO MultiplicationO DivisionO Proportional  reasoning

Which  Strategy?

O Accuracy—Are  you  right?

O Efficiency—Are  you  fast?

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Let’s  Try

Classroom  ProceduresO Gather  at  the  board/carpet  or  in  seatsO Solve  problem  mentallyO Show  you  are  thinking  by  putting  fist  to  chestO Put  thumb  up  when  you  know  answerO Put  two  fingers  up  if  you  have  more  than  one  way  to  solve  the  problem

O Field  responses-­‐-­‐-­‐just  the  answerO Call  on  students  to  explain  their  thinkingO Script  answers

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Procedures

Accountable  Talk  Stems

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Things  to  RememberO Encourage  students  to  try  someone  else’s  method  on  subsequent  problems  in  a  string.

O Watch  for  opportunities  to  move  students  toward  your  purpose  for  the  day.

O Encourage  students  to  use  what  they  know,  by  planning  a  sequence  of  problems  that  are  useful  to  each  other.  

Activity1. In  pairs  ,  analyze  the  problem  strings  

you  have  been  given.2. Identify  the  strategy  the  problem  

strings  are  designed  to  activate.3. Discuss  what  you  might  expect  

students  to  do  and  say  as  they  work  with  these  problem  strings.

4. Discuss  what  the  teacher  might  do  and  say  to  facilitate  discovery  and  reasoning.

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Strategy  RevealO 1-Friendly/Landmark NumbersO 2-Doubles/Near DoublesO 3-Breaking numbers into place valueO 4-Adding UpO 5-Adjusting One NumberO 6-Landmark/FriendlyO 7-Partial ProductsO 8-Doubling/HalvingO 9-Partial Quotients

Strategy    vs.  ToolO Strategy: Action (verb)O Tool: Object (noun)

O Number LineO FingersO Ten FrameO Rekenreks

“That is a tool you used. What strategy did you use with the tool?”

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DiscussionO What  did  you  notice?  O What  did  you  wonder?

Keys  to  Number  TalksO Activate  Mental  Math  Strategies

O Design  to  develop  and  reinforce  strategies

O Promote  academic  and  accountable  talk

O Encourage  short  and  engaging  segments

O Focus  on  computation

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New  LearningsO What is one new idea you have for

incorporating Number Talks into your classroom?

O One new idea I have for incorporating Number Talks is __________.

Resources• TK-1st: Math Talk by Forsten & Richards• K-6th: Number Talks by Parrish• 4th-10th: Making Number Talks Matter by

Humphreys & Parker

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Here’s  to  the  Success  Squiggle!