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
2History
- 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)
3History
4Underlying 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.
5Underlying Frameworks
- Strands of Mathematical Proficiency
NRC (2001). Adding It Up. Washington, D.C.
National Academies Press.
6Common 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
7Whats 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)
8So 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.
9Think Pair - Share
- What does it mean to be college ready?
- What does it mean to be career ready?
10College 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
11Common Core State Standards
- Two types of mathematics standards
- Standards for Content
- Standards for Practice
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13Standards 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.
14The 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
15The 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
16Dan Meyer Math Class Needs a Makeover
17Example of Mathematical Practice
- Look over the lessons
- Notebooks and Pens
- Cash Register
- How are these different from typical lessons?
- Insidemathematics.org
- MARS Tasks
18Grade Level Standards
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25Modeling 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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29Pathways 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.
30Dr. 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.
31Implementing 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.
32CCCS 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
33Getting 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