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Common Core State Standards

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Common Core State Standards for Mathematics Overview Cheryl Avalos Mathematics Consultant randca_at_roadrunner.com Diane Kinch Mathematics Consultant dokinch_at_gmail.com – PowerPoint PPT presentation

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Title: Common Core State Standards


1
  • Common Core State Standards
  • for Mathematics
  • Overview

Cheryl Avalos Mathematics Consultant randca_at_roadru
nner.com Diane Kinch Mathematics
Consultant dokinch_at_gmail.com
http//commoncore.lacoe.edu
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 Process Standards
  • Problem Solving
  • Reasoning and Proof
  • Communication
  • Connections
  • Representations

NCTM (2000). Principles and Standards for School
Mathematics. Reston, VA Author.
5
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
Whats 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.
  • ACTs 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
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13
Standards for Mathematical Practice
  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.

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
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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.

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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
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