Common Core Standards: The New US Intended Curriculum

Transcription

1 Common Core Standards: The New US Intended Curriculum Andy Porter Jennifer McMaken Jun Hwang Rui Yang University of Pennsylvania Presented at the Brown Center on Education Policy at Brookings October 28, 2010

2 How much change in the US curriculum is represented by the common core standards in Mathematics and English Language Arts and Reading?

3 Topics Multiple Step Equations Memorize Categories of Cognitive Demand Perform Procedures Communicate Understanding Solve Non- Routine Problems Conjecture Generalize Prove Inequalities Literal Equations Lines / Slope and Intercept Operations on Polynomials Quadratic Equations

4

5 Alignment Formula alignment index =

6 Course Grain Content Map CC 8 Math State AA 8 Math Alignment index: 0.26 Number Sense Operations Measurement Consumer Applications Basic Algebra Advanced Algebra Geometric Concepts Advanced Geometry Data Displays Statistics Probability Analysis Trigonometry Special Topics Functions Instructional Tech. Number Sense Operations Measurement Consumer Applications Basic Algebra Advanced Algebra Geometric Concepts Advanced Geometry Data Displays Statistics Probability Analysis Trigonometry Special Topics Functions Instructional Tech

7 Fine Grain Content Map Geometric Concepts CC 8 Math Geometric Concepts (non-specific) Basic terminology Points, lines, rays, segments and vectors Patterns Congruence Similarity Parallels Triangles Quadrilaterals Circles Angles Polygons Polyhedra Models 3-D relationships Symmetry Transformations (e.g., flips, turns) Pythagorean Theorem Other: (topic not listed) State AA 8 Math Geometric Concepts (non-specific) Basic terminology Points, lines, rays, segments and vectors Patterns Congruence Similarity Parallels Triangles Quadrilaterals Circles Angles Polygons Polyhedra Models 3-D relationships Symmetry Transformations (e.g., flips, turns) Pythagorean Theorem Other: (topic not listed)

8

9

10 Table 2. Alignment of State and Common Core ELAR Standards State Standards K Common Core Standards /10 11/12 State C State F State G State H State I State K State L State M State N State O State P State Q State R State S State T State U State W State Y State Z State AA State AC State AD State AE Min Max Mean

11 Table 2. Alignment of State and Common Core ELAR Standards State Standards K Common Core Standards /10 11/12 State C State F State G State H State I State K State L State M State N State O State P State Q State R State S State T State U State W State Y State Z State AA State AC State AD State AE Min Max Mean

12

13

14 Table 4. Aggregated Alignment between Common Core and State Standards Math State Standards s 3-6 s 3-8 State Gr 3-8 Average ELAR s 3-6 s 3-8 State Gr 3-8 Average State C State F State G State H State I State K State M State N State O State R State S State W State Y State AA State State AD Min Max Mean

15 Table 4. Aggregated Alignment between Common Core and State Standards Math State Standards s 3-6 s 3-8 State Gr 3-8 Average ELAR s 3-6 s 3-8 State Gr 3-8 Average State C State F State G State H State I State K State M State N State O State R State S State W State Y State AA State State AD Min Max Mean

16 Table 5. Alignment of State Assessments and Common Core Math Standards Common Core Standards State Assessments State A 0.11 State G State H State I State K State L State M State N State O State P State S State U State V State W State X State Y 0.15 NAEP Min Max Average

17 Table 5. Alignment of State Assessments and Common Core Math Standards Common Core Standards State Assessments State A 0.11 State G State H State I State K State L State M State N State O State P State S State U State V State W State X State Y 0.15 NAEP Min Max Average

18

19

20 Table 7. Aggregated Alignment between Common Core and State Assessments Math ELAR State Assessments s 3-6 s 3-8 State Gr 3-8 Average s 3-6 s 3-8 State Gr 3-8 Average State C State G State I State K State M State N State S State W State Y Min Max Mean

21 Table 7. Aggregated Alignment between Common Core and State Assessments Math ELAR State Assessments s 3-6 s 3-8 State Gr 3-8 Average s 3-6 s 3-8 State Gr 3-8 Average State C State G State I State K State M State N State S State W State Y Min Max Mean

22 Some Issues The intended versus the enacted curriculum Assessments are samples Is lack of alignment due to content in a standard at one grade level and content in another standard at another grade level, indicating an important difference? What is the right grain size for defining content?

23 Conclusions There are large differences in the content messages of the common core standards grade by grade and state content standards for those same grades. There are large differences between the content messages of state assessments and the content messages of common core standards grade by grade. The real point is the enacted curriculum and that canon does differ from the intended curriculum of content standards and assessments.