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NUMBER TALKS
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What are Number Talks? Classroom conversations around purposefully crafted computation problems that are solved mentally.
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Key Components of Number Talks:
Classroom Environment and Community Classroom Discussions The Teacher’s Role The Role of Mental Math Purposeful Computation Problems
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Key Component #1: CLASSROOM ENVIRONEMNT & COMMUNITY
Establishes a community of learners built on mutual respect Promotes a risk-free environment Consistently set expectations
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Key Component #2: CLASSROOM DISCUSSIONS
Teacher writes a problem on the board Students given time to solve the problem mentally (Hand Signals) All answers recorded on the board Students share their strategies and justification with their peers ONLY 5-15 minutes
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BENEFITS OF CLASSROOM DISCUSSIONS
Clarify their own thinking Consider and test other strategies Investigate and apply mathematical relationships Build a repertoire of efficient strategies Make decisions about choosing efficient strategies for specific problems
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Key Component #3: TEACHER’S ROLE
Facilitator- guide the students to conversation that builds on meaningful mathematics Questioner- ask open-ended questions (“How did you arrive at your answer?”) Listener & Learner- understand how they were making sense of math
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Key Component #4: ROLE OF MENTAL MATH
Students have to focus on number relationships Rely on what they know and understand Develop efficient, flexible strategies with accuracy Strengthen understanding of place value
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Key Component #5: PURPOSEFUL COMPUTATION PROBLEMS
Problems guide students to focus on mathematical relationships Careful planning to design “just right” problems for students and strategies
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PREPARATION: 4 Procedures & Expectations
Designate an area Provide appropriate wait time Accept, respect, and consider all answers Encourage student communication throughout the number talk
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LOCATION If possible, designate a specific location close to board or whiteboard Close proximity to observe & informally assess
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WAIT TIME Establish, practice, & use hand signals FIST= Thinking
THUMBS-UP= Answer 1,2,3,FINGERS= Alternative strategies to solve the problem
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ACCEPT ALL ANSWERS Accept all ideas and answers
Creates a safe learning environment where students take risks “Blank-face” (keep verbal and physical expressions the same for correct and incorrect answers)
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STUDENT COMMUNICATION
Students share strategies; Teacher scribes exactly what is said Think-Pair-Share= Engaging students & gives a practice run of explaining strategy Provide SENTENCE FRAMES/PROMPTS to help
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SENTENCE FRAMES/PROMPTS
I agree with ______________ because _____________. I do not understand ______________. Can you explain this again? I disagree with ___________ because __________________. How did you decide to _______________?
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RECORD STUDENT THINKING
Teacher records individual student thinking in a clear, concise manner that shows big mathematical ideas Think through possible strategies for problems beforehand Consider the mathematical ideas you want to highlight: friendly numbers/landmarks, decomposing, halving, doubling, etc.
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STUDENT ACCOUNTABILITY
Use finger signals for efficient strategies Keep records of problems and the students’ strategies Hold small-group talks throughout each week Create and post class strategy charts Exit slips Weekly computation assessment
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6 SMALL STEPS Start with smaller problems to elicit thinking from multiple perspectives. Be prepared to offer a strategy from a previous student. It is all right to put a student’s strategy on the back burner. As a rule, limit your number talks to 5 to 15 minutes. Be patient with yourself and students.
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