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Mathematics Content Alignment Within and Across Grade Levels

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Mathematics Content Alignment Within and Across Grade Levels : 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

Data on Enacted Curriculum Number of Math Teachers Completing Pre-treatment Survey in 3 DEC Districts, By Grade Level : Data on Enacted Curriculum Number 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.

Data on Enacted Curriculum Number of Math Teachers Completing Pre-treatment Survey in 3 DEC Districts, By Grade Level : Data on Enacted Curriculum Number 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.

Slide4 : 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

Slide5 : 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

Mathematics Content Maps Two Gr. 6 Teachers in Same DEC School : 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

Slide7 : (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

Grade 8 Mathematics Content Maps 2 Schools in DEC District 3 : 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

Grade 8 Math Content Maps DEC Districts 1 & 5 (same state) : 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

Math Classroom Content by Grade Level Aggregated Across 3 DEC Districts : 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

Math Content Alignment Between Grades 6, 7, & 8 12 Schools (DEC District 3) : 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

Slide12 : 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

Mathematics Content Alignment Within and Across Grade Levels : 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

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