Elementary Math: Grade 3 Professional Development Fall 2011 Norms Participant actively. Be respectful of people’s time, ideas, and needs. Maintain a positive tone. Be solution oriented. Agenda * Introductions to Common Core State Standards * Digging into Mathematical Practices * Content Knowledge and Sheltered Instruction: Decimal Models, Fractions and Division * Problem Solving Math Scoring Guide * Exit Card Learning Targets I can describe to parents and colleagues the North Clackamas Common Core Standard implementation plan for math. I can implement two of the eight Common Core Mathematical Practices into my classroom instruction. I can teach grade level content through a variety of models that progress from concrete to abstract. (Build-Sketch-Record) I understand that there is a new ODE Math Scoring Guide and have explored its dimensions. I can describe characteristics of Sheltered Instruction by talking to my peers about the techniques. Goals of Common Core State Standards-Math US students will become more competitive with A+ countries. Colleges will have less remediation in math for incoming students. Students across the country will have standards that are of equal rigor. Allows for development of common assessments and teaching materials. As of Today 45 States Have Adopted CCSS Common Core Standards for Mathematics Mathematical Practices Mathematical Content Progressions within and across Domains North Clackamas Transition Plan ODE 2007 Standards Common Core State Standards Role Play What would parents want to know about the Common Core State Standards for Math? Discuss with your partner what their questions would be how you would you respond. p o Draws from Two Sources Principals and Standards for School Mathematics Adding It Up 13 NCTM Process Standards • Problem Solving • Reasoning and Proof • Communication • Representation • Connections Adding It Up: Strands of Mathematical Proficiency Conceptual Understanding Strategic Competence Adaptive Reasoning Productive Disposition Procedural Fluency CCSS-M Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. The Standards for Mathematical Practice Take a moment to examine the first three words of each of the 8 mathematical practices… what do you notice? Mathematically Proficient Students… Mathematical Practice:1 Make sense of problems and persevere in solving them. • Use the “Look For” Tool to record your thinking about what mathematically proficient students are able to do when they are participating in this practice. • Record what teachers actions are in engaging students in this practice. Mathematical Practice: 3 Construct viable arguments and critique the reasoning of others. • Use the “Look For” Tool to record your thinking about what mathematically proficient students are able to do when they are participating in this practice. • Record what teachers actions are in engaging students in this practice. Math Problem Solving Tasks Math Problem Solving Scoring Guide Math Scoring Guide Differences Old Dimensions Conceptual Understanding Process and Strategies Communication Verification Accuracy New Dimensions Making Sense of the Task Representing and Solving the Task Communicating Reasoning Accuracy Reflecting and Evaluating Plain Language