Transcript NCSM Fall 2010: Connecting to The Common Core State Standards

Common Core State Standards
for Mathematics
Overview
Cheryl Avalos
Mathematics Consultant
[email protected]
Diane Kinch
Mathematics Consultant
[email protected]
http://commoncore.lacoe.edu
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)
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History
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Underlying Frameworks
National Council of Teachers of
Mathematics
5 Process Standards
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Problem Solving
Reasoning and Proof
Communication
Connections
Representations
NCTM (2000). Principles and Standards for
School Mathematics. Reston, VA: Author.
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Underlying Frameworks
Strands of Mathematical Proficiency
Conceptual
Understanding
Strategic
Competence
Adaptive
Reasoning
Productive
Disposition
Procedural
Fluency
NRC (2001). Adding It Up. Washington, D.C.:
National Academies Press.
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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
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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)
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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.
Think – Pair - Share
• What does it mean to be college
ready?
• What does it mean to be career
ready?
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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
Common Core State Standards
Two types of mathematics
standards
• Standards for Content
• Standards for Practice
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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
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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.
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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…
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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…
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Dan Meyer
Math Class Needs a Makeover
National Council of Supervisors of Mathematics
CCSS Standards of Mathematical Practice: Getting Started
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Example of
Mathematical Practice
Look over the lessons:
• Notebooks and Pens
• Cash Register
How are these different from typical
lessons?
• Insidemathematics.org
• – MARS Tasks
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Grade Level Standards
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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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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.
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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.
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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.
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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
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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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