Session #301 - Number Talks in Middle School: Why and How Chris Harris, Math TOSA, Escondido Union School District Strand: CCSS & Mathematics | Grade Level: Middle School A Number Talk is a short daily routine that helps students build computational fluency. It’s not about speed, it is about students discovering and sharing strategies that allow them to be flexible with numbers. Students are engaged and teachers are amazed to hear their students' thinking. In this session, you will participate in a Number Talk and discuss what can be gained by adding this simple routine to your daily schedule. Learn about using hand signals, building students’ confidence, building vocabulary and speaking skills and implementing the Standards for Mathematical Practice. Put up while waiting to start Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Number Talks in Middle School Why and How Chris Harris, Math TOSA, Escondido Union School District chharris@eusd.org, charrismath@gmail.com @charrismath Resources: https://goo.gl/UgrzJf Title page.Vote with your feet, if this isn’t what you want, walk out! Vote with your feet: If session is not what you need/want, walk out!! Time is valuable. Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How Me Currently I am helping 4-8 grade teachers implement CCSSM and change the way they teach to meet the Standards (both Content and Practice). I AM NOT AN EXPERT!!! You Emphasis on elementary number talks. YOU – classroom teacher or coach. Ts grades, self-contained or have you heard of Number Talks? Have you seen Number Talks? Have you done Number Talks? More than 2 times? Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How The Why This is NOT a 21st century classroom. What comment does (almost) every teacher who teaches 4th grade or higher sadly say about their math students? teacher words vs student words. collaboration, critical thinking, conceptual understanding Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Mathematical Practice Standards The Why CaCCSSM Mathematical Practice Standards CaCCSSM Fluencies Make sense of problems and persevere in solving them. Reason abstractly & quantitatively. Construct viable arguments & critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for & make use of structure. Look for & express regularity in repeated reasoning. K Add/subtract within 5 1 Add/subtract within 10 2 Add/subtract within 20 Add/subtract within 100 (pencil & paper) 3 Multiply/divide within 100 Add/subtract within 1000 4 Add/subtract within 1,000,000 5 Multi-digit multiplication 6 Multi-digit division Multi-digit decimal operations 7 Solve px + q = r, p(x + q) = r 8 Solve simple 2X2 systems by inspection Standards for Magth Practice Fluencies - like fluency with language, not entirely about speed. Flexibility and conceptual understanding. Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How The Why As a Classroom Teacher You’ll hear your students thinking. You will build their Number Sense, which seems to be a missing component. Your students will like the routine - they get to talk, to the whole class and to a partner. They can discuss and ‘argue’ for their strategy and answer. As a Coach/TOSA/Specialist Use Number Talks as a way to get into classrooms. Teachers will be pleased when you engage the students. Teachers may be amazed when they hear their students’ thinking. Model once and go back a month later!!! You and I are going to chat throughout this so lots of stuff will come up. Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

All teachers and All students Everyone!! All teachers and All students - language learners - working on speaking and presenting as well as math. - SPED - these students have been learning alternative strategies for years, now they can share. - advanced learners - working on explaining, more than just an answer, can look for more than one strategy for each problem. - shy students - the ones who never talk can be talking to their partners, every answer is accepted, wrong answers included! - ‘not so’ shy students - hand signals make these students think before throwing up their arms and distracting the rest of us. The Who Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How The What “Simply defined, number talks are five- to fifteen-minute classroom conversations around purposefully crafted computation problems that are solved mentally.” Sherry Parrish, Teaching Children Mathematics October 2011 Definition, I like the best, emphasize purposefully crafted!! Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How The How Teach students hand signals Get rid of pencils & paper Present the problem(s) Accept all answers, non-judgmentally Have students justify their answers Make a written record (Don’t forget to stop!!) Can’t emphasize enough the purpose part. Show them hand signals Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15 9

Session #301 - Number Talks in Middle School: Why and How Let’s give it a try Go over hand signalsPut a 5 dot card, also need it on paper Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How Another more complex dot card – maybe linked to a strategy Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How Another more complex dot card – maybe linked to a strategy Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Why Dot Cards? numbers represent quantities you can use dots flexibly (& numbers too) students can be successful almost always guarantees several correct answers useful introduction to Number Talks numbers are quantities

Session #301 - Number Talks in Middle School: Why and How Why Strings? A Number String is a group of problems that can be used in a single session. Each string consists of 3-5 problems. The sequence of these problems allows students to apply a specific strategy or strategies from previous problems. Students will build a toolbox of efficient strategies based on numerical reasoning. numbers are quantities Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How 7 + 3 8 + 2 7 + 5 + 3 8 + 2 + 3 3 + 6 + 7 8 + 5 8 + 9 addition strategy, making tens Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How 35 X 8 100 X 4 70 X 4 50 X 8 140 X 2 25 X 16 A string – halving and doubling Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How Why Single Problems? Giving students a single problem allows teachers to see how a student chooses to solve a problem. Usually there are multiple strategies for solving the problem. As students explain their solution teachers ‘see’ how their students think! numbers are quantities Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How Closer to 0, ½ or 1? 13/24 16/25 Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Fractions: Addition Estimation 1/7 + 5/16 About ½ About 1 About 2 88/91 + 5/6 About ½ About 1 About 2 single problem maybe a fraction comparing lots of strategies? Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How For the teacher wait time look for multiple strategies nudge students beyond the algorithm expect precision of language listen – don’t explain a student’s words ask students questions (for both correct and incorrect answers) get students to talk to each other students should ‘present’ their answers record the thinking – in a correct mathematical fashion sometimes you can share your way of thinking continue to do Number Talks – it gets better!! Note all the connections with ELA standards Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How This is the book & method most commonly used in elementary school There are lots of ways to do Number Talks and lots of purposes. We based what we do on the Sherry Parrish book. It isn’t hard to have kids do math with a group but this must be purposeful!! This is the Book I used in elementary. There is a DVD with examples “Simply defined, number talks are five- to fifteen-minute classroom conversations around purposefully crafted computation problems that are solved mentally.” Sherry Parrish, Teaching Children Mathematics October 2011 Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How Resources This is the book for grades 4 - 10 Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Session #301 - Number Talks in Middle School: Why and How 2 other good books Session #301 - Number Talks in Middle School: Why and How Personalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15

Chris Harris Math TOSA Escondido, CA Questions, Comments, Concerns??? charrismath@gmail.com @charrismath Resources: https://goo.gl/UgrzJf

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