mathematics content alignment within and across grade levels

Mathematics Content Alignment Within and Across Grade Levels

Eric Osthofferico@education.wisc.edu

Wisconsin Center for Education Research

From Data on Enacted Curriculum Project

Data on Enacted CurriculumNumber 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 30 15 21 66Grade 7 29 14 23 66Grade 8 28 16 19 63

Total 87 45 63 195

*Spring 2001**Fall 2002NOTE: Districts 1 & 5 in Same State.

Data on Enacted CurriculumNumber 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 30 15 21 66Grade 7 29 14 23 66Grade 8 28 16 19 63

Total 87 45 63 195

*Spring 2001**Fall 2002NOTE: Districts 1 & 5 in Same State.

Content of Mathematics Instruction in 3 DistrictsAggregated for Grades 6-8, by District

District 3Grades 6-8 Teacher Reports (n=85)

District 1Grades 6-8 Teacher Reports (n=44)

District 5Grades 6-8 Teacher Reports (n=63)

Number Sense

Measurement

Algebraic Concepts

Geometric Concepts

Data Analysis

Instructional Technology

Mem

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municate

AnalyzeApply

Mem

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Gr. 6-8 Math Content Maps & Alignment Indicators

for 3 DEC Districts

District 3Grades 6-8 Teacher Reports (n=85)

District 1Grades 6-8 Teacher Reports (n=44)

District 5Grades 6-8 Teacher Reports (n=63)

Number Sense

Measurement

Algebraic Concepts

Geometric Concepts

Data Analysis

Instructional Technology

Mem

orizePerformCom

municate

AnalyzeApply

Mem

orizePerformCom

municate

AnalyzeApply

Mem

orizePerformCom

municate

AnalyzeApply

.845

.899

.873

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

(non-specific)

Absolute ValueUse of Variables

Evaluate expressionsOne-step equations

Coordinate PlanePatterns

Multi-step EquationsInequalities

Linear/non-linear rel.Rate of Change/slopeOper. On Polynomials

FactoringSq. roots & radicals

Operations on Radicals

Rational expressionsFunctions & relationsQuadratic equations

Systems of equationsSystems of inequalitiesMatricies, determinants

Complex numbersother

Mem

.Per

form

.Com

mun

.Ana

lyze

ApplyAlgebraic

Concepts

Teacher 1

(Gr. 6)

Teacher 2

(Gr. 6)

.639

Grade 8 Mathematics Content Maps 2 Schools in DEC District 3

School 811Grade 8 Teacher Reports (n=3)

Number Sense

Measurement

Algebraic Concepts

Geometric Concepts

Data Analysis

Instructional Technology

Mem

orizePerformCom

municate

AnalyzeApply

Mem

orizePerformCom

municate

AnalyzeApply

School 85Grade 8 Teacher Reports (n=3)

.71

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

District 1Grades 8 Teacher Reports (n=15)

District 5Grades 8 Teacher Reports (n=19)

Number Sense

Measurement

Algebraic Concepts

Geometric Concepts

Data Analysis

Instructional Technology

Mem

orizePerformCom

municate

AnalyzeApply

Mem

orizePerformCom

municate

AnalyzeApply

.861

Math Classroom Content by Grade LevelAggregated Across 3 DEC Districts

Number Sense

Measurement

Algebraic Concepts

Geometric Concepts

Data Analysis

Instructional Technology

Mem

orizePerformCom

municate

AnalyzeApply

Mem

orizePerformCom

municate

AnalyzeApply

Mem

orizePerformCom

municate

AnalyzeApply

3 DEC DistrictsGrade 6 Teacher Reports (n=66)

3 DEC DistrictsGrade 7 Teacher Reports (n=65)

3 DEC DistrictsGrade 8 Teacher Reports (n=62)

.878

.893

.818

Math Content Alignment Between Grades 6, 7, & 812 Schools (DEC District 3)

Number Sense

Measurement

Algebraic Concepts

Geometric Concepts

Data Analysis

Instructional Technology

Mem

orizePerformCom

municate

AnalyzeApply

Mem

orizePerformCom

municate

AnalyzeApply

Mem

orizePerformCom

municate

AnalyzeApply

District 3Grade 6 Teacher Reports (n=29)

District 3Grade 7 Teacher Reports (n=28)

District 3Grade 8 Teacher Reports (n=28)

.870

.861

.826

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

Mem

orizePerformCom

municate

AnalyzeApply

Mem

orizePerform

Comm

unicateAnalyzeApply

Mem

orizePerformCom

municate

AnalyzeApply

School 811Grade 6 Teacher Reports (n=3)

School 811Grade 7 Teacher Reports (n=4)

School 811Grade 8 Teacher Reports (n=3)

.661

.720

.734

Mathematics Content Alignment Within and Across Grade Levels

Eric Osthofferico@education.wisc.edu

Wisconsin Center for Education Research

From Data on Enacted Curriculum Project