Mathematics Content Alignment Within and Across Grade Levels

1
Mathematics Content Alignment Within and Across
Grade Levels
From Data on Enacted Curriculum Project

• Eric Osthoff
• erico_at_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 1 Grades 6-8 Teacher Reports (n44)
District 5 Grades 6-8 Teacher Reports (n63)
District 3 Grades 6-8 Teacher Reports (n85)
Number Sense
Measurement
Algebraic Concepts
Geometric Concepts
Data Analysis
Instructional Technology
Apply
Apply
Memorize
Perform
Analyze
Apply
Memorize
Perform
Analyze
Memorize
Perform
Analyze
Communicate
Communicate
Communicate
5
Gr. 6-8 Math Content Maps Alignment Indicators
for 3 DEC Districts
.873
District 1 Grades 6-8 Teacher Reports (n44)
District 5 Grades 6-8 Teacher Reports (n63)
District 3 Grades 6-8 Teacher Reports (n85)
Number Sense
Measurement
.845
.899
Algebraic Concepts
Geometric Concepts
Data Analysis
Instructional Technology
Apply
Apply
Memorize
Perform
Analyze
Apply
Memorize
Perform
Analyze
Memorize
Perform
Analyze
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 (n3)
School 811 Grade 8 Teacher Reports (n3)
Number Sense
Measurement
.71
Algebraic Concepts
Geometric Concepts
Data Analysis
Instructional Technology
Apply
Perform
Analyze
Apply
Perform
Memorize
Memorize
Analyze
Communicate
Communicate
9
Grade 8 Math Content Maps DEC Districts 1 5
(same state)
District 1 Grades 8 Teacher Reports (n15)
District 5 Grades 8 Teacher Reports (n19)
Number Sense
.861
Measurement
Algebraic Concepts
Geometric Concepts
Data Analysis
Instructional Technology
Apply
Memorize
Perform
Analyze
Apply
Memorize
Perform
Analyze
Communicate
Communicate
10
Math Classroom Content by Grade LevelAggregated
Across 3 DEC Districts
.818
3 DEC Districts Grade 7 Teacher Reports (n65)
3 DEC Districts Grade 6 Teacher Reports (n66)
3 DEC Districts Grade 8 Teacher Reports (n62)
Number Sense
Measurement
.878
.893
Algebraic Concepts
Geometric Concepts
Data Analysis
Instructional Technology
Apply
Apply
Apply
Memorize
Perform
Analyze
Memorize
Perform
Analyze
Perform
Analyze
Memorize
Communicate
Communicate
Communicate
11
Math Content Alignment Between Grades 6, 7,
812 Schools (DEC District 3)
.826
District 3 Grade 7 Teacher Reports (n28)
District 3 Grade 8 Teacher Reports (n28)
District 3 Grade 6 Teacher Reports (n29)
Number Sense
Measurement
.870
.861
Algebraic Concepts
Geometric Concepts
Data Analysis
Instructional Technology
Apply
Apply
Apply
Perform
Analyze
Memorize
Perform
Analyze
Memorize
Memorize
Perform
Analyze
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 (n4)
School 811 Grade 8 Teacher Reports (n3)
School 811 Grade 6 Teacher Reports (n3)
Number Sense
Measurement
.734
.720
Algebraic Concepts
Geometric Concepts
Data Analysis
Instructional Technology
Apply
Apply
Perform
Analyze
Apply
Perform
Analyze
Perform
Analyze
Memorize
Memorize
Communicate
Communicate
Memorize
Communicate
13
Mathematics Content Alignment Within and Across
Grade Levels
From Data on Enacted Curriculum Project

• Eric Osthoff
• erico_at_education.wisc.edu
• Wisconsin Center for Education Research