mathematics content alignment within and across grade levels

13
Mathematics Content Alignment Within and Across Grade Levels Eric Osthoff [email protected] Wisconsin Center for Education Research From Data on Enacted Curriculum Project

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Mathematics Content Alignment Within and Across Grade Levels. From Data on Enacted Curriculum Project. Eric Osthoff [email protected] Wisconsin Center for Education Research. - PowerPoint PPT Presentation

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Page 1: Mathematics Content Alignment  Within and Across Grade Levels

Mathematics Content Alignment Within and Across Grade Levels

Eric [email protected]

Wisconsin Center for Education Research

From Data on Enacted Curriculum Project

Page 2: Mathematics Content Alignment  Within and Across Grade Levels

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.

Page 3: Mathematics Content Alignment  Within and Across Grade Levels

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.

Page 4: Mathematics Content Alignment  Within and Across Grade Levels

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

orizePerformCom

municate

AnalyzeApply

Mem

orizePerformCom

municate

AnalyzeApply

Mem

orizePerformCom

municate

AnalyzeApply

Page 5: Mathematics Content Alignment  Within and Across Grade Levels

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

Page 6: Mathematics Content Alignment  Within and Across Grade Levels

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

Page 7: Mathematics Content Alignment  Within and Across Grade Levels

(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

Page 8: Mathematics Content Alignment  Within and Across Grade Levels

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

Page 9: Mathematics Content Alignment  Within and Across Grade Levels

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

Page 10: Mathematics Content Alignment  Within and Across Grade Levels

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

Page 11: Mathematics Content Alignment  Within and Across Grade Levels

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

Page 12: Mathematics Content Alignment  Within and Across Grade Levels

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

Page 13: Mathematics Content Alignment  Within and Across Grade Levels

Mathematics Content Alignment Within and Across Grade Levels

Eric [email protected]

Wisconsin Center for Education Research

From Data on Enacted Curriculum Project