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37 The Common Core State Standards for Mathematics

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The Common Core State Standards for Mathematics... Common Core State Standards for Mathematics CCSSM: Are world-class  Can potentially elevate the academic performance of America’s st

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The Common Core State

Standards for Mathematics

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Common Core State Standards for Mathematics (CCSSM):

 Are world-class

Can potentially elevate the academic

performance of America’s students

 Most states have a long way to go:

some less

 Teachers and parents overwhelmingly

support them

But we must convince students as well

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Top-Achieving Countries Composite Mathematics Standards

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State Level Agreement

Grade Topic 1 2 3 4 5 6 7 8

Whole Number: Meaning

Common Fractions

Equations & Formulas

2-D Geometry: Basics

2-D Geometry: Polygons & Circles

Rounding & Significant Figures

Estimating Computations

Whole Numbers: Properties of Operations

Estimating Quantity & Size

Decimal Fractions

Relation of Common & Decimal Fractions

Proportionality Concepts

Proportionality Problems

2-D Geometry: Coordinate Geometry

Geometry: Transformations

Negative Numbers, Integers, & Their Properties

Number Theory

Measurement: Estimation & Errors

3-D Geometry

Geometry: Congruence & Similarity

Patterns, Relations & Functions

Intended by all states l

Intended by none of the states m

Intended by more than half of the top-achieving countries

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The Common Core State Standards for Mathematics

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Possible Standard Based on Composite Profile of the

Top-Achieving Countries

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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 mathematics standards that were more

similar to the CCSSM had statistically significantly higher NAEP 2009 performance.

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How Standards May Affect Student Achievement

Standards

Classroom

Instruction

Student Achievement

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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

 Assessments and assessment

cut-points that support state’s standards

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CCSSM Congruence and NAEP Mathematics Performance

The change in the R-square

between a model including only

the congruence measure to one

that adjusted the congruence

measure for the NAEP cut points

yielded a 12% increase.

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Factors Affecting CCSSM Implementation

of proficiency

students attending public

schools

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Relating State Standards to NAEP 2009 Scores

Model Estimate

R-squared

Model

p

value

Number of States

Congruence Measure

Adjusted for Cut Points 0.04* 0.67 0.00 50 Percent Federal Funding -0.95**

Percent Non-poor White 0.33**

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Consistency With the CCSSM

with the CCSSM range from

66% — 83%

for the A+ standard is about

90%

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Consistency With the CCSSM

Most Like

Utah

Least Like

CCSS

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Representative Sample of Teachers in Each

CCSSM-Adopted State

Common Standards

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Teachers Thoughts about CCSSM

 After reading sample CCSSM topics for

their grade, ~80% say CCSSM is

“pretty much the same” as their

former standards

 If CCSSM places a topic they currently

teach in a different grade only about

¼ would drop it

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Teachers Sense of Preparedness to Teach CCSSM Topics

 Grades 1-5: About ½ feel well

prepared to teach their topics

 Grades 6-8: Around 60% feel well

prepared to teach their topics

 High School: Around 70% feel

well prepared to teach their topics

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Common Core State Standards for Mathematics (CCSSM):

 Are world-class

Can potentially elevate the academic

performance of America’s students

 Most states have a long way to go:

some less

 Teachers and parents overwhelmingly

support them

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