Embed Size (px)
Citation preview
Session #301 - Number Talks in Middle School: Why and HowPersonalizing 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
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.
Session #301 - Number Talks in Middle School: Why and HowPersonalizing 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 [email protected], [email protected]
@charrismath
Resources:https://goo.gl/UgrzJf
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 HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
MeCurrently 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
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?
Session #301 - Number Talks in Middle School: Why and HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
The Why
1 Make sense of problems and persevere in solving them.
2 Reason abstractly & quantitatively.3 Construct viable arguments & critique
the reasoning of others. 4 Model with mathematics.5 Use appropriate tools strategically.6 Attend to precision.7 Look for & make use of structure.8 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
CaCCSSM Mathematical Practice
Standards
CaCCSSM Fluencies
Session #301 - Number Talks in Middle School: Why and HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
The Why
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!!!
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.
Session #301 - Number Talks in Middle School: Why and HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
The Why
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.
Session #301 - Number Talks in Middle School: Why and HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
The Who
Session #301 - Number Talks in Middle School: Why and HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
“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
The What
Session #301 - Number Talks in Middle School: Why and HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
The How
Teach students hand signalsGet rid of pencils & paperPresent the problem(s)Accept all answers, non-judgmentallyHave students justify their answersMake a written record(Don’t forget to stop!!)
Session #301 - Number Talks in Middle School: Why and HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
Let’s give it a try
Session #301 - Number Talks in Middle School: Why and HowPersonalizing 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 HowPersonalizing 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
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.
Session #301 - Number Talks in Middle School: Why and HowPersonalizing 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 HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
7 + 3
7 + 5 + 3
3 + 6 + 7
8 + 2
8 + 2 + 3
8 + 5
8 + 9
Session #301 - Number Talks in Middle School: Why and HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
35 X 8
70 X 4
140 X 2
100 X 4
50 X 8
25 X 16
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!
Session #301 - Number Talks in Middle School: Why and HowPersonalizing 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 HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
Closer to 0, ½ or 1?
13/24
16/25
Session #301 - Number Talks in Middle School: Why and HowPersonalizing 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
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!!
Session #301 - Number Talks in Middle School: Why and HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
This is the book & method most commonly used in elementary school
“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 HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
Resources
Session #301 - Number Talks in Middle School: Why and HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
This is the book for grades 4 - 10
Session #301 - Number Talks in Middle School: Why and HowPersonalizing Learning in the Common Core Era California League of Schools Annual Conference South 10/23/15
Chris Harris
Math TOSA Escondido, CA
Questions, Comments, [email protected]
@charrismath
Resources:https://goo.gl/UgrzJf
Thank you for attending this session!
Please take a moment to evaluate this workshop using:
1. The QR Code to the rightor
2. The online evaluation on SCHED.org or
3. A session evaluation form available from your presenter.
