Common Core State Standards for Mathematics Overview

1. Cheryl Avalos Mathematics Consultant randca@roadrunner.com Diane Kinch Mathematics Consultant dokinch@gmail.com http://commoncore.lacoe.edu Common Core State Standards for Mathematics Overview

2. History NCTM • Curriculum and Evaluation Standards for School Mathematics (1989) • Professional Standards for Teaching Mathematics (1991) • Assessment Standards for School Mathematics (1995) • Principles and Standards for School Mathematics (2000) • Curriculum Focal Points (2006) • High School Reasoning and Sense Making (2009)

3. History

4. Underlying Frameworks National Council of Teachers of Mathematics 5 ProcessStandards • Problem Solving • Reasoning and Proof • Communication • Connections • Representations NCTM (2000). Principles and Standards for School Mathematics. Reston, VA: Author.

5. Conceptual Understanding Strategic Competence Productive Disposition Adaptive Reasoning Procedural Fluency Underlying Frameworks Strands of Mathematical Proficiency NRC (2001). Adding It Up. Washington, D.C.: National Academies Press.

6. Common Core State Standards • Mathematics Standards • Lead writers: Phil Daro, Bill McCallum, Jason Zimba, • Writing teams • Review teams • Two rounds of public review and feedback • 85% of State Standards must be CCSS • California Standards include 15% additional Standards

7. What’s different about CCSS? These Standards are not intended to be new names for old ways of doing business. They are a call to take the next step. It is time for states to work together to build on lessons learned from two decades of standards based reforms. It is time to recognize that standards are not just promises to our children, but promises we intend to keep. — CCSS (2010, p.5)

8. So What is Different? • Focus on College & Career Pathways • Emphasis on Mathematical Modeling • Standards of Mathematical Practice • Multiple Formats for Testing • So far, there are no courses.

9. Think – Pair - Share • What does it mean to be college ready? • What does it mean to be career ready?

10. College & Career Readiness • ACT defines college & career readiness as the acquisition of the knowledge & skills a student needs to enroll & succeed in credit-bearing, first year courses at a postsecondary institution without the need for remediation. • ACT’s definition of college & career readiness was adopted by the Common Core State Standards Initiative & provides a unifying goal upon which educators & policymakers now must act. www.act.org/commoncore/pdf/FirstLook.pdf

11. Common Core State Standards Two types of mathematics standards • Standards for Content • Standards for Practice

12. Big Picture in Mathematics CCSS Standards of Mathematical Practice Grade Level Standards Grades K-5 Grades 6-8 High School Math 8th Grade Options Algebra 1 Core Standards to prepare for Algebra 1

13. Standards for Mathematical Practice • Make sense of problems and persevere in solving them. • Reason abstractly and quantitatively. • Construct viable arguments and critique the reasoning of others. • Model with mathematics. • Use appropriate tools strategically. • Attend to precision. • Look for and make use of structure. • Look for and express regularity in repeated reasoning.

14. 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…

15. The Standards for [Student] Mathematical Practice #1: Explain and make conjectures… #2: Make sense of… #3: Understand and use… #4: Apply and interpret… #5: Consider and detect… #6: Communicate precisely to others… #7: Discern and recognize… #8: Notice and pay attention to…

16. Dan Meyer Math Class Needs a Makeover

17. Example of Mathematical Practice Look over the lessons: • Notebooks and Pens • Cash Register How are these different from typical lessons? • Insidemathematics.org • – MARS Tasks

18. Grade Level Standards

25. Modeling Examples • Gym Membership • Work on the gym membership problem. • Decide how you would determine which gym to join based on the cost. • Share your ideas with a neighbor.

29. Pathways to Algebra • Students who are ready for an Algebra course in 8th grade could experience a revised 6th and 7th grade instructional program that  embeds the CCSS for 8th grade into the 6th and 7th grade year. 

30. Dr. Wu – UC Berkley • The Common Core mathematics standards succeed in being both mathematically coherent and grade level appropriate. Overall, they are the best standards I have seen in the past twenty years. If we can design a professional development program of the same caliber to go with these standards, then our nation will be making a substantial first step towards educational excellence in mathematics.

31. Implementing CCSS • Challenge: • CCSS assessments not available for several years (2014-2015 deadline) • Recognizing that CCSS are not “business as usual” • Providing assistance to teachers in the Mathematical Practices • Textbooks materials will not be available before the first assessments.

32. CCCS: An Opportunity • National dialogue about learning expectations • Fewer, clearer standards • Refocusing on college and career readiness that begins earlier in standards • Research-based, builds on strengths of best state and international standards • Equity

33. Getting Started with CCSS Suggested First Implementation Steps: • Mathematical practices • Progressions within and among content clusters and domains • Local assessments • Classroom formative and summative assessment • State released tasks