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. Do one problem “Meal Out” or “Security Camera”
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Common Core Ready: Count Down to PARCC
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What does it mean to be a Common Core mathematics educator? How are the Standards for Mathematical Practice supported by the instructional strategies that build student conceptual understanding? How do the Mathematical Practices foster problem solving, communication, and critical thinking ?
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What are the key instructional shifts in mathematics? Procedural Fluency Applications (Modeling) Deep Conceptual Understanding Coherence Focus
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1.Focus: The PARCC Assessment will focus strongly where the Standards focus. 2.Coherence: Think across grades and link to major topics within grades. 3.Rigor: In major topics, pursue conceptual understanding, procedural skill and fluency, and application. 5 Major Shifts at the Heart of PARCC Design and the Mathematics Standards
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Conversation Starters 1.How does your mathematics instruction embody and emphasize the Mathematical Practices? 2.Which Mathematical Practice(s) will be targeted for proficiency development during this lesson? 3.What instructional strategies will you incorporate into your lesson that promote that Mathematical Practice?
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What does it sound like? What does it look like?
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What is a Mathematically Proficient Student? Individually 1.Read and highlight key words 2.Use the highlighted words to fill in the table Teams 3.Discuss and record 4.Whole group Share Individually 1.Read and highlight key words 2.Use the highlighted words to fill in the table Teams 3.Discuss and record 4.Whole group Share
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2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics 5. Use appropriate tools strategically 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Overarching habits of mind of a productive mathematical thinker Reasoning and Explaining Modeling and Using Tools Seeing Structure and Generalizing 1.Make sense of problems and persevere in solving them. 6. Attend to precision Standards for Mathematical Practice
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Instructional Strategies that Promote Student Achievement Individuals Read Note Mathematical Practice(s) Groups Summarize strategy (Elevator summary) Match the strategy with Mathematical Practice(s) Share any Ah-Ha’s
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Mathematical Practices in Action 8 Key Instructional strategies... 1.Active engagement (p.24) 2.Solving challenging problems (p. 25) 3.Connecting ideas, concepts, and skills (p. 28) 4.Communicating mathematically (p. 29) 5.Engaging students’ prior knowledge (p. 30) 6.Using ongoing, distributed practice with appropriate feedback (p. 33) 7.Using appropriate tools strategically (p. 34) 8.Promoting students’ positive self-beliefs (p. 36)
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Sharing out
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Mathematical TASKS Can be a single complex problem or set of problems Focus students attention on a particular mathematical idea Influence what students learn by directing their attention to specific aspects of content and by detailing ways to process information Require a higher level of thinking
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Level of cognitive demand.
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Example 1: Meal Out Source: http://map.mathshell.org/materials/tests/ms_6_test.pdfhttp://map.mathshell.org/materials/tests/ms_6_test.pdf
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Example 2: Security Camera Source: http://map.mathshell.org/materials/tests/ccr_b1_test.pdf: http://map.mathshell.org/materials/tests/ccr_b1_test.pdf
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What does it mean to be a Common Core mathematics educator? How are the Standards for Mathematical Practice supported by the instructional strategies that build student conceptual understanding? How do the Mathematical Practices foster problem solving, communication, and critical thinking ?
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Common Core Ready: Count Down to PARCC Office of Mathematics PreK-12 Maria Everett, Secondary Coordinator John Staley, Ph. D., Director
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