Mathematics Content Alignment Within and Across Grade Levels

# Mathematics Content Alignment Within and Across Grade Levels

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## Mathematics Content Alignment Within and Across Grade Levels

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1. Mathematics Content Alignment Within and Across Grade Levels From Data on Enacted Curriculum Project Eric Osthoff erico@education.wisc.edu Wisconsin Center for Education Research

2. Data on Enacted CurriculumNumber of Math Teachers Completing Pre-treatment Survey in 3 DEC Districts, By Grade Level *Spring 2001 **Fall 2002 NOTE: Districts 1 & 5 in Same State.

3. Data on Enacted CurriculumNumber of Math Teachers Completing Pre-treatment Survey in 3 DEC Districts, By Grade Level *Spring 2001 **Fall 2002 NOTE: Districts 1 & 5 in Same State.

4. Content of Mathematics Instruction in 3 Districts Aggregated for Grades 6-8, by District District 5 Grades 6-8 Teacher Reports (n=63) District 1 Grades 6-8 Teacher Reports (n=44) District 3 Grades 6-8 Teacher Reports (n=85) Number Sense Measurement Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology Apply Apply Perform Analyze Memorize Apply Perform Analyze Memorize Perform Analyze Memorize Communicate Communicate Communicate

5. Gr. 6-8 Math Content Maps & Alignment Indicators for 3 DEC Districts .873 District 5 Grades 6-8 Teacher Reports (n=63) District 1 Grades 6-8 Teacher Reports (n=44) District 3 Grades 6-8 Teacher Reports (n=85) Number Sense Measurement .845 .899 Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology Apply Apply Perform Analyze Memorize Apply Perform Analyze Memorize Perform Analyze Memorize Communicate Communicate Communicate

6. Mathematics Content Maps Two Gr. 6 Teachers in Same DEC School Teacher 2 Teacher 1 Number Sense Measurement .845 Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology

7. Algebraic Concepts Commun. .639 Perform. Analyze Apply Mem. (non-specific) Absolute Value Use of Variables Evaluate expressions One-step equations Coordinate Plane Patterns Multi-step Equations Inequalities Linear/non-linear rel. Teacher 1 (Gr. 6) Teacher 2 (Gr. 6) Rate of Change/slope Oper. On Polynomials Factoring Sq. roots & radicals Operations on Radicals Rational expressions Functions & relations Quadratic equations Systems of equations Systems of inequalities Matricies, determinants Complex numbers other

8. Grade 8 Mathematics Content Maps 2 Schools in DEC District 3 School 85 Grade 8 Teacher Reports (n=3) School 811 Grade 8 Teacher Reports (n=3) Number Sense Measurement .71 Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology Apply Apply Perform Analyze Perform Memorize Memorize Analyze Communicate Communicate

9. Grade 8 Math Content MapsDEC Districts 1 & 5 (same state) District 1 Grades 8 Teacher Reports (n=15) District 5 Grades 8 Teacher Reports (n=19) Number Sense .861 Measurement Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology Apply Perform Analyze Memorize Apply Perform Analyze Memorize Communicate Communicate

10. Math Classroom Content by Grade LevelAggregated Across 3 DEC Districts .818 3 DEC Districts Grade 7 Teacher Reports (n=65) 3 DEC Districts Grade 6Teacher Reports (n=66) 3 DEC Districts Grade 8 Teacher Reports (n=62) Number Sense Measurement .878 .893 Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology Apply Apply Apply Perform Analyze Memorize Perform Analyze Memorize Perform Analyze Memorize Communicate Communicate Communicate

11. Math Content Alignment Between Grades 6, 7, & 812 Schools (DEC District 3) .826 District 3 Grade 8 Teacher Reports (n=28) District 3 Grade 7 Teacher Reports (n=28) District 3 Grade 6 Teacher Reports (n=29) Number Sense Measurement .870 .861 Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology Apply Apply Apply Perform Analyze Memorize Perform Analyze Memorize Perform Analyze Memorize Communicate Communicate Communicate

12. Math Content Alignment Between Grades 6, 7, and 8 School 811 (DEC District 3) .661 School 811 Grade 7 Teacher Reports (n=4) School 811 Grade 8 Teacher Reports (n=3) School 811 Grade 6 Teacher Reports (n=3) Number Sense Measurement .734 .720 Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology Apply Apply Perform Apply Analyze Perform Analyze Perform Analyze Memorize Memorize Communicate Memorize Communicate Communicate

13. Mathematics Content Alignment Within and Across Grade Levels From Data on Enacted Curriculum Project Eric Osthoff erico@education.wisc.edu Wisconsin Center for Education Research