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

2. Data on Enacted Curriculum Number of Math Teachers Completing Pre-treatment Survey in 3 DEC Districts, By Grade Level District 3* (12 Schools) District 1* (10 Schools) District 5** (8 Schools) Total (30 Schools) Grade 6 30152166 Grade 7 29142366 Grade 8 28161963 Total 874563195 *Spring 2001 **Fall 2002 NOTE: Districts 1 & 5 in Same State.

3. Data on Enacted Curriculum Number of Math Teachers Completing Pre-treatment Survey in 3 DEC Districts, By Grade Level District 3* (12 Schools) District 1* (10 Schools) District 5** (8 Schools) Total (30 Schools) Grade 6 30152166 Grade 7 29142366 Grade 8 28161963 Total 874563195 *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 3 Grades 6-8 Teacher Reports (n=85) District 1 Grades 6-8 Teacher Reports (n=44) District 5 Grades 6-8 Teacher Reports (n=63) Number Sense Measurement Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology Memorize Perform Communicate Analyze Apply Memorize Perform Communicate Analyze Apply Memorize Perform Communicate Analyze Apply

5. Gr. 6-8 Math Content Maps & Alignment Indicators for 3 DEC Districts District 3 Grades 6-8 Teacher Reports (n=85) District 1 Grades 6-8 Teacher Reports (n=44) District 5 Grades 6-8 Teacher Reports (n=63) Number Sense Measurement Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology Memorize Perform Communicate Analyze Apply Memorize Perform Communicate Analyze Apply Memorize Perform Communicate Analyze Apply.845.899.873

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

7. (non-specific) Absolute Value Use of Variables Evaluate expressions One-step equations Coordinate Plane Patterns Multi-step Equations Inequalities Linear/non-linear rel. 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 Mem. Perform. Commun. Analyze Apply Algebraic Concepts Teacher 1 (Gr. 6) Teacher 2 (Gr. 6).639

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

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

10. Math Classroom Content by Grade Level Aggregated Across 3 DEC Districts Number Sense Measurement Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology Memorize Perform Communicate Analyze Apply Memorize Perform Communicate Analyze Apply Memorize Perform Communicate Analyze Apply 3 DEC Districts Grade 6 Teacher Reports (n=66) 3 DEC Districts Grade 7 Teacher Reports (n=65) 3 DEC Districts Grade 8 Teacher Reports (n=62).878.893.818

11. Math Content Alignment Between Grades 6, 7, & 8 12 Schools (DEC District 3) Number Sense Measurement Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology Memorize Perform Communicate Analyze Apply Memorize Perform Communicate Analyze Apply Memorize Perform Communicate Analyze Apply District 3 Grade 6 Teacher Reports (n=29) District 3 Grade 7 Teacher Reports (n=28) District 3 Grade 8 Teacher Reports (n=28).870.861.826

12. Math Content Alignment Between Grades 6, 7, and 8 School 811 (DEC District 3) Number Sense Measurement Algebraic Concepts Geometric Concepts Data Analysis Instructional Technology Memorize Perform Communicate Analyze Apply Memorize Perform Communicate Analyze Apply Memorize Perform Communicate Analyze Apply School 811 Grade 6 Teacher Reports (n=3) School 811 Grade 7 Teacher Reports (n=4) School 811 Grade 8 Teacher Reports (n=3).661.720.734

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