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Todays Webinar will begin shortly New Resources for Illustrating the Standards for Mathematical Practice There are TWO ways to hear the audio portion of this webinar: Streaming audio through your computers speakers Via Telephone: US/Canada: 877-668-4490 Meeting ID: 669 137 054 Sponsored by: A recording of todayswebinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars.html

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National Council of Supervisors of Mathematics New Resources for Illustrating the Standards for Mathematical Practice www.mathedleadership.org

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 3 Presenters Suzanne Mitchell, NCSM President Valerie Mills, Central 1 Regional Director & Project Director

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 4 Special thanks to Carnegie Learning for their ongoing support of NCSM! http://www.carnegielearning.com/

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5 Join us in thanking the Noyce Foundation for their generous grant to NCSM that made this series possible! http://www.noycefdn.org/

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html Todays Goals Familiarize you with NCSM s Illustrating the Standards for Mathematical Practice series Explore possible uses for leaders of these resources to enhance your presentations with different audiences.

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html

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Standards for Mathematical Practice 8 Mathematical facts and proceduresthe Content part of what we teachare the results of the application of mathematical habits of mind reflected in the Practices. For that reason, fidelity to the way mathematics is made and useda big part of the intent of the Mathematical Practices, requires that the Content be taught through the Practices. That way, the connections are real integrated rather than interspersed. http://thinkmath.edc.org/index.php/Differences_between%2C_and_connections_between%2C_C ontent_and_Practice_standards

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 9 Driving Questions How can I support my teachers understanding of the CCSS Mathematical Practices? In particular, where can I go to find tasks, video, and other resources to help teachers implement the CCSS Practices in their classrooms?

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Illustrating the Standards for Mathematical Practice 10

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html Series Design Features Each module is designed to support the exploration of two or more of the CCSS Mathematical Practices. The modules are: –designed to help teachers deepen their understanding of the practices and implement them in their classrooms –situated in classroom practice, –anchored by a high demand mathematical task, –presented in power point format with slide annotations on the Notes pages to support facilitation –1.5 to 3 hours in length, –designed to be used individually or in combination

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www.insidemathematics.org/ 12

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 13 Professional Learning Design Each session: –focuses on two or more of the practices –provides an exploration to guide deeper understanding of the practices –provides for the transfer of new ideas into classroom practice

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 14 Professional Learning Design Each session: –focuses on two or more of the practices –provides an exploration to guide deeper understanding of the practices –provides for the transfer of new ideas into classroom practice

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 15 Professional Learning Design Each session: –focuses on two or more of the practices –provides an exploration to guide deeper understanding of the practices –provides for the transfer of new ideas into classroom practice

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 16 Professional Learning Design Each session: –focuses on two or more of the practices –provides an exploration to guide deeper understanding of the practices –provides for the transfer of new ideas into classroom practice Whole Group Discussion: Depending on available time, consider selecting two or three papers with interesting solution strategies and or representations to share with participants before you begin the discussion of question 3.

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 17 Professional Learning Design Each session: –focuses on two or more of the practices –provides an exploration to guide deeper understanding of the practices –provides for the transfer of new ideas into classroom practice Select a typical task from your materials and design a lesson it so that it offers…

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 18 Professional Learning Design Each session: –focuses on two or more of the practices –provides an exploration to guide deeper understanding of the practices –provides for the transfer of new ideas into classroom practice

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Illustrating the Standards for Mathematical Practice 19

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The Common Core State Standards Illustrating the Standards for Mathematical Practice: Problem Solving Across The Grades www.mathedleadership.org The National Council of Supervisors of Mathematics

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21 Problem Solving from NCTMs Principles and Standards for School Mathematics Problem solving means engaging in a task for which the solution method is not known in advance. In order to find a solution, students must draw on their knowledge, and through this process, they will often develop new mathematical understandings. NCTM (2000). Principles and Standards for School Mathematics. Reston, VA: Author. (p. 52)

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22 Problem Solving from NCTMs Principles and Standards for School Mathematics Students should have frequent opportunities to formulate, grapple with and solve complex problems that require a significant amount of effort and should be encouraged to reflect on their thinking. NCTM (2000). Principles and Standards for School Mathematics. Reston, VA: Author. (p. 52)

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23 Problem Solving In Your Classroom What opportunities do your students currently have to grapple with non-routine complex tasks and to… …. reflect on their thinking and consolidate new mathematical ideas and problem solving solutions?

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24 Problem Of the Month (POM) POM is a strategy for engaging students across a range of grade levels within a school or district in problem solving. This is done using a series of related, leveled, non-routine, and challenging tasks. Here is how it works: Students in grade x and grade x + 1 work on the first of a series of leveled tasks. Then students in grade x + 1 show students in the next grade, x + 2, what they were able to do with the first task and together try to expand/enhance their solutions. Next students move on to the next level of task. And so on…

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 25 www.Inside Mathematics.org http://www.insidemathematics.org/index.php/too ls-for-teachers/problems-of-the-month Problem of Month! Brian Cooper Vallemar School Grades 7 and 8

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 26 Student Activity Logs http://www.insidemathematics.org/index.php/too ls-for-teachers/problems-of-the-month Problem of Month! Vallemar School Grades 4 - 8

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Illustrating the Standards for Mathematical Practice 27

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The Common Core State Standards Illustrating the Standards for Mathematical Practice: Problem Solving and Precision www.mathedleadership.org The National Council of Supervisors of Mathematics

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Exploring Quadrilaterals Doing Mathematics The kite manufacturer only builds quadrilateral kites. But, the company doesnt only make kites according to the mathematical definition. The manufacturer can make any type of convex quadrilateral. Manufacturer's Problem: Every time an order comes in she needs to figure out how to make the kite. This is not efficient.

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Exploring Quadrilaterals Preparation for Problem Solving Teacherss Overview… http://www.insidemathematics.org/index.php/classroom-video-visits/public-lessons-properties- of-quadrilaterals/297-properties-of-quadrilaterals-tuesday-introduction-part-a

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Exploring Quadrilaterals Task as Set Up 1.In what ways could this instructional move support perseverance and/or precision within a problem solving context? 2.What might the teacher achieve by incorporating this instructional move? 3.What other instructional moves did your facilitator model that supported perseverance and precision? In the clips you watched during the task facilitation, the teacher chose to be explicit about the investigative process.

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Exploring Quadrilaterals Implications for Instruction Take a few minutes to reflect on the instructional strategies discussed today. 1.Which of these strategies would you like to integrate into your own toolbox for instruction to promote problem solving and precision? 2.What could you do to prepare yourself and your students to interact with mathematics in similar ways?

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Where and with Whom might we use these modules? Department/staff Grade level/course PLCs Administrative Parent Board of Education Community 33

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 34 Connecting to Your Practice Talk with a colleague or write some thoughts: Which audiences in your settings might be right for these professional learning materials? What additional support might you find useful from NCSM?

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35 Illustrating the CCSS Standards for Mathematical Practices – NCSM Professional Development Materials to Deepen and Extend Teachers Understanding and Use of the Practices April 23-25, 2012 Philadelphia, Pennsylvania Aimee Evans Valerie Mills 2012 NCSM Annual Conference "Life, Liberty, and Mathematics for All: NCSM Leads the Way"

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html Development Team Geraldine Devine, Oakland Schools, Waterford, MI Aimee L. Evans, Arch Ford ESC, Plumerville, AR Dana L. Gosen, Ph.D., Oakland Schools, Waterford, MI Linda K. Griffith, Ph.D., University of Central Arkansas Cynthia A. Miller, Ph.D., Arkansas State University Valerie L. Mills, Oakland Schools, Waterford, MI Susan Jo Russell, Ph.D., TERC, Cambridge, MA Deborah Schifter, Ph.D., Education Development Center, Newton, MA Nanette Seago, WestEd, San Francisco, California 36

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37 Join us in thanking the Noyce Foundation for their generous grant to NCSM that made this series possible! http://www.noycefdn.org/

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Mathedleadership.org 38 Click here

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mathedleadership.org/ccss/materials.html 39

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mathedleadership.org/ccss/materials.html 40 Scroll down to here

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html Slide 41 NCSM www.mathedleadership.org Suzanne Mitchell suzmitch@comcast.net suzmitch@comcast.net Valerie Mills valerie.mills@oakland.k12.mi.us valerie.mills@oakland.k12.mi.us http://www.mathedleadership.org/ccss/mate rials.html

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OTHER NCSM RESOURCES 42

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Mathematics Assessment Project (MAP) http://map.mathshell.org.uk/materials 43

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 44 Mathematics Assessment Project (MAP) http://map.mathshell.org.uk/materials 20 ready-to-use Lesson Units for Formative Assessment for high school cross referenced to CCSS content and practices standards. (ultimately 20 per grade 7-12) Draft summative assessments, aimed at College- and Career-Readiness, presented in two forms: –a Task Collection with each task cross-referenced to the CCSS, andTask Collection –a set of Prototype Test Forms showing how the tasks might be assembled into balanced assessments.Prototype Test Forms Professional learning modules are under development

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html MAP Formative Assessment Lessons Assessment task, individual work (15 min) Teacher reviews work, creates questions to improve solutions (Whole group discussion) Partner or small group task to increase understanding, address misconceptions Debriefing discussion Revision of work on original assessment 45

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 46 The Illustrative Mathematics Project illustrativemathematics.org illustrativemathematics.org Hyperlinked CCSS Developing a complete set of tasks for each standard –Range of difficulty –Simple illustrations of single standards to complex tasks spanning many standards. Provide a process for submitting, discussing, reviewing, and publishing tasks. Launch Team: Phil Daro, William McCallum (chair), Jason Zimba

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47 Tools for the Common Core Standards commoncoretools.wordpress.com

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html Coaching Corner Resources for Mathematics Specialist NCSM has a new section on their websiteCoaching Corner: Resources for Mathematics Specialists. The resources on the website are designed to support the work of mathematics specialist and leaders of coaching programs. NCSM will launch this new resource at the 2012 Annual Conference in Philadelphia, April 23-26, 2012

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html Coaching Corner Resources for Mathematics Specialist Resources that you will find on Coaching Corner include: Resources for mathematics specialist and leaders of coaching programs Theses resources are organized by various topics and provide a description of the resource and a brief guide for how the resource could be used to develop Stage 1, 2, and/or 3 Leadership NCSM, PRIME Leadership Framework (2008, page 2) Questions and answers Links to helpful sites and tools Professional learning opportunities Types and examples of coaching programs

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Mathedleadership.org 50

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 51 NCSM Resources and Tools Great Tasks for illustrating the CCSS content and practices standards. Archived webinars: November 2010 - Getting Started with the Common Core State Standards: First Steps for Mathematics Education Leaders February 2011 - Diving Deeper into the Common Core State Standards November 2011 –Implementing the Common Core State Standards for Mathematics: CCSS Material Analysis Tools

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52 NCSM Professional Learning Opportunities NCSM Annual Conference –April 23-25, 2012, Philadelphia, PA NCTM Leadership Academy –June 25-27, 2012, Pittsburgh, PA –July 31-August 2, 2012, Sonoma, CA

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http://www.carnegielearning.com/ 53 Special thanks to Carnegie Learning for their on going support of NCSM!

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Thank you for joining us! NCSM mathedleadership.org 54

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A recording of todays webinar will be available at: http://www.carnegielearning.com/webinarshttp://www.carnegielearning.com/webinars http://www.mathedleadership.org/events/webinars/html 55 Connecting to Your Practice Talk with a colleague or write some thoughts: Which audiences in your settings might be right for these professional learning materials? What additional support might you find useful from NCSM?

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