Transcript Center for Research in Mathematics and Science Education

The Common Core State
Standards for Mathematics
William H. Schmidt
State Level Agreement
Grade
Topic
Whole Number: Meaning
Whole Number: Operations
Measurement Units
Common Fractions
Equations & Formulas
Data Representation & Analysis
2-D Geometry: Basics
2-D Geometry: Polygons & Circles
Measurement: Perimeter, Area & Volume
Rounding & Significant Figures
Estimating Computations
Whole Numbers: Properties of Operations
Estimating Quantity & Size
Decimal Fractions
Relation of Common & Decimal Fractions
Properties of Common & Decimal Fractions
Percentages
Proportionality Concepts
Proportionality Problems
2-D Geometry: Coordinate Geometry
Geometry: Transformations
Negative Numbers, Integers, & Their Properties
Number Theory
Exponents, Roots & Radicals
Exponents & Orders of Magnitude
Measurement: Estimation & Errors
Constructions Using Straightedge & Compass
3-D Geometry
Geometry: Congruence & Similarity
Rational Numbers & Their Properties
Patterns, Relations & Functions
Proportionality: Slope & Trigonometry
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Intended by all states
Intended by none of the states
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Intended by more than half of the top-achieving countries
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Center for the Study of Curriculum
Top-Achieving Countries Composite Mathematics
Curriculum Standards
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The Common Core State Standards for Mathematics
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CCSSM Compared to a World-Class Standard
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Number of Topics Intended at Each Grade for Various Standards
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CCSSM Congruence and NAEP Mathematics Performance
States with past curriculum
standards that were more
aligned with the CCSSM had
statistically significantly higher
NAEP 2009 performance.
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How Standards May Affect Student Achievement
Standards
Student
Achievement
Classroom
Instruction
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Standards Relationship to Student Achievement
Is Influenced by . . .

Instructional support materials
produced by state, e.g., teacher guides

Professional development for teachers
sponsored/authorized by state
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Assessments and assessment cutpoints that support state’s standards
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Factors Affecting CCSSM Implementation

State assessment definitions
of proficiency

Measure of poverty

Percent of low-income
family students attending
public schools
Center for the Study of Curriculum
Relating State Standards to NAEP 2009 Scores
Model
Estimate
Model Number
Rp
of
squared value States
Congruence Measure
0.04* 0.67 0.00 50
Adjusted for Cut Points
Percent Federal Funding -0.95**
Percent Non-poor White 0.33**
*p < 0.016
**p < .01
Center for the Study of Curriculum
Consistency With the CCSSM

Consistency of state standards
with the CCSSM range from
66% — 83%
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The measure of consistency
for the A+ standard is about
90%
Center for the Study of Curriculum
Consistency With the CCSSM
Most Like
CCSS
Alabama
Michigan
California
Minnesota
Florida
Mississippi
Georgia
Oklahoma
Indiana
Washington
Idaho
Utah
North Dakota
Oregon
South Dakota
Tennessee
Colorado
New York
Texas
Delaware
North Carolina
Vermont
Hawaii
Ohio
West Virginia
Alaska
Arkansas
Massachusetts New Mexico
Pennsylvania South Carolina
Least Like
CCSS
Connecticut
Montana
Illinois
Nebraska
Maine
New Hampshire
Maryland
Virginia
Missouri
Wyoming
Arizona
Nevada
Iowa
New Jersey
Kansas
Rhode Island
Kentucky
Wisconsin
Louisiana
Center for the Study of Curriculum
Common Core State Standards for Mathematics (CCSSM):
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Are world-class

Can elevate the academic performance
of America’s students

Most states have a long way to go

Teachers and parents overwhelmingly
support them

But we must convince students as well
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