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## Math Shifts Focus Coherence Rigor

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**Math Shifts**• Focus • Coherence • Rigor**What are the Shifts?**• Focus: focus strongly where the standards focus**Instructional Shift:**What does focus mean for our instruction?**What are the Shifts?**• Focus: focus strongly where the standards focus • Coherence: think across grades, and link to major topics in each grade**Instructional Shift:**What does coherence mean for our instruction?**Next Generation Mathematics Content Standards and**Objectives**What are the Shifts?**• Focus: focus strongly where the standards focus • Coherence: think across grades, and link to major topics in each grade • Rigor: in major topics, pursue with equal intensity • conceptual understanding • procedural skill and fluency • applications**Instructional Shift:**What does rigor mean for our instruction?**Center of the Classroom Culture Standards for Mathematical**Practice**Overview of session**Eight Standards for Mathematical Practice**Standards for Mathematical Practice**• Make sense of problems & 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.**The Importance of the Standards for Mathematical Practices**Video clip**Connecting the Standard for Mathematical Practice with the**Content Standards**Content & Practices**Standards that begin with “understand” are good opportunities to connect the Practices to the Content!**Content & Practices**“A lack of understanding (of the content) effectively prevents a student from engaging in the Mathematical Practices.” Skip Fennell, former NCTM president**Great Tasks Matter!**What is a great task? Why is it important to use great tasks? 29**Tasks Matter**“If we want students to develop the capacity to think, reason, and problem solve then we need to start with high-level, cognitively complex tasks.” Stein & Lane, 1996 30**Tasks Matter**“Not all tasks are created equal, and different tasks will provoke different levels and kinds of student thinking.” Stein, Smith, Henningsen, & Silber, 2000 Thinkmath.edc.org 31**Dan Meyer:**Math Class Needs a Makeover TED Talk Dan Meyer Math class needs a makeover - YouTube.mp4 32**Center of the Classroom Culture Standards for**Mathematical Practice Phil Daro Video clip**Other Resources for Understanding the Grade**Level Standards Learning Progression documents for the Common Core State Standards found online at http://ime.math.arizona.edu/progressions/**Smarter Balanced Assessment Consortium**An Assessment System to Support Teaching and Learning**Item and Task Specifications and Sample Items**Sample assessment items and tasks are included in item/task specifications: www.smarterbalanced.org/itemspecs Live sample items and tasks: www.sampleitems.smarterbalanced.org