the common core state standards for mathematics william h. schmidt
TRANSCRIPT
Center for the Study of Curriculum
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
Center for the Study of Curriculum
State Level AgreementGrade
Topic 1 2 3 4 5 6 7 8
Whole Number: Meaning Whole Number: Operations lMeasurement Units l lCommon Fractions Equations & FormulasData Representation & Analysis l l2-D Geometry: Basics2-D Geometry: Polygons & CirclesMeasurement: Perimeter, Area & Volume lRounding & Signifi cant FiguresEstimating Computations Whole Numbers: Properties of OperationsEstimating Quantity & SizeDecimal FractionsRelation of Common & Decimal FractionsProperties of Common & Decimal Fractions m mPercentages mProportionality ConceptsProportionality Problems2-D Geometry: Coordinate Geometry Geometry: Transformations Negative Numbers, I ntegers, & Their PropertiesNumber Theory Exponents, Roots & Radicals m mExponents & Orders of Magnitude m mMeasurement: Estimation & Errors Constructions Using Straightedge & Compass m m m m3-D Geometry Geometry: Congruence & Similarity Rational Numbers & Their Properties m m mPatterns, Relations & Functions Proportionality: Slope & Trigonometry m m m m m
I ntended by all states lI ntended by none of the states m
I ntended by more than half of the top-achieving countries
Center for the Study of Curriculum
Possible Standard Based on Composite Profile of the Top-Achieving Countries
Center for the Study of Curriculum
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.
Center for the Study of Curriculum
How Standards May Affect Student Achievement
Standards
ClassroomInstruction
StudentAchievement
Center for the Study of Curriculum
Standards Relationship to Student AchievementIs 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
Center for the Study of Curriculum
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.
Center for the Study of Curriculum
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
*p < 0.016 **p < .001
Center for the Study of Curriculum
Consistency With the CCSSM
Consistency of state standards with the CCSSM range from 66% — 83%
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 California Florida Georgia IndianaMichigan Minnesota Mississippi Oklahoma Washington
Idaho North Dakota Oregon South Dakota TennesseeUtah
Alaska Arkansas Colorado Delaware HawaiiMassachusetts New Mexico New York North Carolina OhioPennsylvania South Carolina Texas Vermont West Virginia
Connecticut Illinois Maine Maryland MissouriMontana Nebraska New Hampshire Virginia Wyoming
Least Like CCSS
Arizona Iowa Kansas Kentucky LouisianaNevada New Jersey Rhode Island Wisconsin
Center for the Study of Curriculum
Representative Sample of Teachers in Each CCSSM-Adopted State
90% have heard of the CCSSM
70% have read them
More than 90% like the idea of Common Standards
Center for the Study of Curriculum
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
Center for the Study of Curriculum
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
Center for the Study of Curriculum
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