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?
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?
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.
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