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Foundational Overview of the Common Core State Standards for Mathematics

Foundational Overview of the Common Core State Standards for Mathematics. MENA Common Core Conference | 1-2 November | Dubai, United Arab Emirates Kevin Simpson Consultant | Pearson School Achievement Services. Outcomes. Connect current practice and articulate the changes

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Foundational Overview of the Common Core State Standards for Mathematics

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  1. Foundational Overview of the Common Core State Standards for Mathematics MENA Common Core Conference | 1-2 November | Dubai, United Arab Emirates Kevin SimpsonConsultant | Pearson School Achievement Services

  2. Outcomes Connect current practice and articulate the changes needed to implement the Common Core State Standards for Mathematics (CCSSM).

  3. Today’s Agenda From Standards to Classroom Practice and Assessment Reflection and Closing

  4. Section 3 Big Questions What kinds of learning tasks allow students the opportunity to demonstrate their mathematical proficiency? How can you establish a classroom culture of thinking and learning that supports the vision of the CCSSM?

  5. Opening Learning Tasks… Classroom Culture…

  6. From Standards to Classroom Practice and Assessment John Van de Walle onApproach to Teaching

  7. From Standards to Practice and Assessment It is what teachers think, what teachers do, and what teachers are at the level of the classroom that ultimately shapes the kind of learning that young people get. —Andy Hargreaves (quoted in Bay-Williams 2010, 37) Classroom Discourse Classroom Norms Classroom Relationships (Bay-Williams 2010, 37)

  8. From Standards to Practice and Assessment What The Teacher Does What The Students Do The Three-Phase Lesson Structure BEFORE D URING AFTER

  9. Math Workshop Opening-Beginning • Warm Up • Objective • Interactive discussion to find prior knowledge • Expectations for how we will work • Introduce concept

  10. Math Workshop Work Time-Middle • Solo, partner, small group • Observe and listen to students • Ask questions • Conferences – one on one or group • Small group instruction • Prepare for closing

  11. Math Workshop Closing-Ending • Discussion • Instruct • Question • Reflect • Revise • Present • Homework

  12. From Standards to Practice and Assessment What The Teacher Does What The Students Do The Three-Phase Lesson Structure BEFORE D URING AFTER

  13. From Standards to Practice and Assessment Mathematics Worth Doing Choose high-level learning tasks. Consider the language and context of the tasks. Encourage students to work independently of the teacher,either individually or cooperatively in groups. Encourage students to analyze situationsand pose higher-order questions. Focus on student approaches and help them focus on important mathematics.

  14. From Standards to Practice and Assessment Applying skills, concepts, and understandings to solve multi-step problems Using abstract reasoning, precision and perseverance Analysis, synthesis & critical thinking Deep knowledge of core concepts and ideas Complex Performance- Based Assessments Strategic use of tools Assessment Asking students to understand something means asking a teacherto assesswhether the student has understood it. —Common Core State Standards Initiative (2010b, 4) Using Assessment to Measure the CCSSM

  15. From Standards to Practice and Assessment Assessment “Next-Generation” Assessments Focused Items on Essential Topics Example The Trans Alaska Pipeline System is 800 miles long and costs $8 billion to build. Divide one of these numbers by the other. What is the meaning of the answer? (Partnership for Assessment of Readiness for College and Careers 2010a, 29)

  16. From Standards to Practice and Assessment Assessment The practices tend to pull assessment down to the classroom level, andbring teaching closer to assessment. —Zimba (2010)

  17. Section 3 Big Questions What kinds of learning tasks allow students the opportunity to demonstrate their mathematical proficiency? How can you establish a classroom culture of thinking and learning that supports the vision of the CCSSM?

  18. Outcomes Connect current practice and articulate the changes needed to implement the Common Core State Standards for Mathematics (CCSSM).

  19. Pearson Professional Development www.pearsonpd.com

  20. References America’s Choice. 2011. “Common Core State Standards Resources.” Accessed July 6, 2011. http://www.americaschoice.org/commoncorestandardsresources. Bay-Williams, Jennifer M. 2010. “Effective Classroom Practices of Elementary School Teachers.” In Teaching and Learning Mathematics: Translating Research for Elementary School Teachers, 37–45. Reston, VA: The National Council of Teachers of Mathematics. Bay-Williams, Jennifer M, and Karen S. Karp. 2008. Growing Professionally: Readings from NCTM Publications for Grades K–8. Reston: VA: National Council of Teachers of Mathematics. ———. 2010. “Transforming Mathematics Classrooms, Teaching Mathematics Equitably to All Students.” Presentation given at the National Council of Teachers of Mathematics Annual Meeting, San Diego, CA, April 2010. Bridges, William. 2009. Managing Transitions: Making the Most of Change. Philadelphia, PA: William Bridges and Associates, Da Capo Press. California Department of Education. 2010. 2010 STAR Test Results. Accessed November 23, 2010. http://star.cde.ca.gov/star2010. Common Core State Standards Initiative. 2010a. “About the Standards.” Accessed January 27, 2011. http://www.corestandards.org/about-the-standards. ———. 2010b. “The Standards: Mathematics.” Accessed October 20, 2010. http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf. ———. 2010c. “Common Core State Standards for English Language Arts & Literacy in History/Social Studies, Science, and Technical Subjects.” Accessed January 1, 2011. http://www.corestandards.org/assets/CCSSI_ELA%20Standards.pdf. ———. 2010d. “National Governors Association and State Education Chiefs Launch Common State Academic Standards.” Accessed January 27, 2011. http://www.corestandards.org/articles/8-national-governors-association-and-state-academic-standards. Conley, David T. 2011. Redefining College Readiness, Volume 5. Eugene, OR: Educational Policy Improvement Center. Accessed January 27, 2011. https://www.epiconline.org/files/pdf/RedefiningCollegeReadiness.pdf. Daro, Phil. “Common Core State Standards: What’s Different?” Presentation given at Pearson, Glenview, IL, October 2010. —. 2010. “How do you create better standards in math?” Pearson Education. 2 min., 55 sec. http://commoncore.pearsoned.com/index.cfm?locator=PS11Ye Fleischman, Howard L., Paul J. Hopstock, Maris P. Pelczar, Brooke E. Shelley, and Holly Xie. 2010. Highlights From PISA 2009: Performance of U.S. 15-Year-Old Students in Reading, Mathematics, and Science Literacy in an International Context (NCES 2011-004). Washington, DC: National Center for Education Statistics, Institute of Education Services. Accessed January 27, 2011. http://nces.ed.gov/pubs2011/2011004.pdf. Hess, Karin K., Ben S. Jones, Dennis Carlock, and John R. Walkup. 2009. “Cognitive Rigor: Blending the Strengths of Bloom’s Taxonomy and Webb’s Depth of Knowledge to Enhance Classroom-level Processes.” Education Resources Information Center (ERIC). ERIC ID# 517804. Accessed May 7, 2012. http://www.standardsco.com/PDF/Cognitive_Rigor_Paper.pdf Illinois State Board of Education (ISBE). n.d. State of Illinois Race to the Top Application (b), Appendix B1-4. Springfield, IL: ISBE. Accessed November 12, 2011. http://www.isbe.state.il.us/racetothetop/PDF/appendix_vol_2_pt3b.pdf. Mathematics Learning Study Committee, and National Research Council. 2001. Adding It Up: Helping Children Learn Mathematics, 1st ed. Washington, D.C.: The National Academies Press. McCallum, Bill. 2011. Tools for the Common Core Standards (blog). Accessed June 7, 2011. http://commoncoretools.wordpress.com/. National Commission on Excellence in Education, The. 1983. A Nation at Risk: The Imperative for Educational Reform. No place: The National Commission on Excellence in Education.

  21. References National Council of Teachers of Mathematics. 2000. “Overview: Standards for School Mathematics: Prekindergarten through Grade 12.” Accessed October 20, 2010. http://standards.nctm.org/document/chapter3. ———. 2010. “NCTM Action on the Common Core State Standards for Mathematics.” Accessed November 19, 2010. http://www.nctm.org/about/content.aspx?id=27076 ———. 2011. “Focus in High School Mathematics: Reasoning and Sense Making.” Accessed April 8, 2011. http://www.nctm.org/standards/content.aspx?id=23749. National Governors Association, Council of Chief State School Officers, and Achieve, Inc. 2008. Benchmarking for Success: Ensuring U.S. Students Receive a World-Class Education. Washington, DC: National Governors Association. Accessed January 27, 2011. http://www.corestandards.org/assets/0812BENCHMARKING.pdf. Overbaugh, Richard C., and Lynn Schultz. “Bloom’s Taxonomy.” Accessed October 27, 2010. http://www.odu.edu/educ/roverbau/Bloom/blooms_taxonomy.htm. Partnership for Assessment of Readiness for College and Careers. 2010a. “Application for the Race to the Top Comprehensive Assessment Systems.” Accessed October 27, 2010. http://www.fldoe.org/parcc/pdf/apprtcasc.pdf. ———. 2010b. “Application for the Race to the Top Comprehensive Assessment Systems Competition: Appendix (A)(3)–A.” Accessed October 27, 2010. http://www.fldoe.org/parcc/pdf/a3a.pdf. Pearson Education, Inc. 2012. “Math: Function Graph: Bacteria.” 1 min., 51 sec.; FLV. Accessed May 8, 2012. http://downloads.pearsonassessments.com/videos/NextGeneration/NextGenVideoHTML/NextGen_Bob_Math_Final/NextGen_Bob_Math_Final.html. San Diego State University Research Foundation. 2011. “Felisha.” 3 min., 10 sec. Licensed to Pearson Education, Inc. Created by Randolph Phillipp, Bonnie Schappelle, and Candace Cabral. Thompson, Tony. 2008. “Mathematics Teachers’ Interpretation of Higher-Order Thinking In Bloom’s Taxonomy”. International Electronic Journal of Mathematics Education 3, no. 2 (July). Accessed May 7, 2012. http://www.iejme.com/022008/d2.pdf Van de Walle, John. A., and LouAnn H. Lovin. 2006a Teaching Student-Centered Mathematics: Grades 3-5. Boston, MA: Pearson Education, Inc. ———. 2006b. Teaching Student-Centered Mathematics: Grades 5–8. Boston, MA: Pearson Education, Inc. ——— “John Van de Walle Teacher Workshop.” 6 min., 1 sec. U.S. Department of Education. 2008. A Nation Accountable: Twenty-five Years After A Nation At Risk. Washington, D.C.: U.S. Department of Education. Wagner, Tony. 2008. "Rigor Redefined." Expecting Excellence 66, no. 2 (October): 20–25. Accessed May 14, 2012. http://www.ascd.org/publications/educational-leadership/oct08/vol66/num02/Rigor-Redefined.aspx. Wiggins, Grant, and Jay McTighe. 2005. Understanding by Design, 2nd ed. Alexandria, VA: Association for Supervision and Curriculum Development (ASCD). Zimba, Jason. 2010. “Common Core State Standards” Presentation given at Pearson, Boston, MA, July 2010.

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