foundational overview of the common core state standards for mathematics mena common core conference...
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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
Outcomes
Connect current practice and articulate the changesneeded to implement the Common Core State Standards for Mathematics (CCSSM).
Today’s Agenda
Reflection and Closing
From Standards to Classroom Practice and Assessment
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?
Learning Tasks…
Classroom Culture…
Opening
John Van de Walle on Approach to Teaching
From Standards to Classroom Practice and Assessment
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)
The Three-Phase Lesson Structure
From Standards to Practice and Assessment
WhatThe
TeacherDoes
WhatThe
StudentsDo
BEFORE
DURING
AFTER
Math Workshop
Opening-Beginning– Warm Up– Objective– Interactive discussion to find prior
knowledge– Expectations for how we will work– Introduce concept
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
Math Workshop
Closing-Ending– Discussion– Instruct– Question– Reflect– Revise – Present – Homework
The Three-Phase Lesson Structure
From Standards to Practice and Assessment
WhatThe
TeacherDoes
WhatThe
StudentsDo
BEFORE
DURING
AFTER
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 situations and pose higher-order questions.
Focus on student approaches and help themfocus on important mathematics.
From Standards to Practice and Assessment
Asking students to understand something means asking a teacher to assess whether the student has understood it.
—Common Core State Standards Initiative (2010b, 4)
Using Assessment to Measure the CCSSM
Applying skills
,
conce
pts, and
understandings t
o
solve
multi-
step
problem
s
Using abstr
act re
asoning,
precis
ion and perseve
rance
Deep knowledge of
core
conce
pts and id
eas
Analysis, s
ynthesis
& critic
al thinkin
g
Strate
gic use
of tools
Complex P
erform
ance-
Based A
ssess
ments
From Standards to Practice and Assessment
Assessment
From Standards to Practice and Assessment
Focused Items on Essential Topics
Assessment“Next-Generation” Assessments
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)
The practices tend to pull assessment down to the classroom level, and bring teaching closer to assessment.
Assessment
From Standards to Practice and Assessment
—Zimba (2010)
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?
Outcomes
Connect current practice and articulate the changesneeded to implement the Common Core State Standards for Mathematics (CCSSM).
Pearson Professional Development
www.pearsonpd.com
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=PS11YeFleischman, 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.
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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