Supporting Student Growth and
Program Improvement with
Colorado’s Growth Model
Dwayne D. Schmitz
(dschmitz@psdschools.org)
Poudre School District
Fort Collins, CO
CCSSO - June 17, 2008
June 17, 2008 1
Dwayne Schmitz, PhD.
Student Growth Percentiles Provide:
■ Useful measures of student growth
■ Typical Growth
■ Adequate Growth
■ Identification of programs associated with
unusually high or low levels of growth
■ Individualized projections of what future levels
of growth will “buy” a student in terms of
performance levels
June 17, 2008 2
Understanding School Performance
High
High Status High Status
Low Growth High Growth
Achievement Level
(Status) Low Status Low Status
Low Growth High Growth
Low
Low Longitudinal High
Growth
June 17, 2008 6
Math 2007 Data for One District
June 17, 2008 7
Broad 2 Year District View of Growth
Reading Writing Math
Median Student Growth
Percentiles
District-wide Information
District Median Student Growth Percentile 51 52 52 52 52 55
Elementary School(s) 56 57 59 57 57 60
Middle School(s) 47 50 46 49 49 52
High School(s) 44 49 47 49 48 54
Grade 4 58 57 59 57 53 57
Grade 5 49 51 52 54 54 57
Grade 6 62 64 66 62 64 66
Grade 7 43 50 42 43 41 46
Grade 8 46 45 42 46 47 45
GradeJune
Grade 10 43 48 45 48 46 53
Broad 2 Year School View of Growth
Reading Writing Math
Median Student Growth Percentiles 2006 2007 2006 2007 2006 2007
School Information
Elementary 1 53 60 63 54.5 44 57
Elementary 2 71.5 59 63 60 61 55
Elementary 3 55 52 57.5 67.5 59 58
Elementary 4 63 58 52 51 63.5 65
Elementary 5 42 45 43 40 41 54.5
Elementary 6 65 67.5 70 78.5 61.5 69
Elementary 7 45 48 41 46 48 59
Middle School 1 55 43 50 44 47.5 38.5
Middle School 2 38 41 43 41 54 45
Middle School 3 58 72 63 71 65 66
Middle School 4 46.5 41 33 43 34.5 42
Middle School 5 60 59 70 71 64 52
High School 1 34 41.5 43 44 39 49
High School 2 50 46 47 45 52 48
High June
School
High School 4 44 54 47 52 50 58
One Cohort’s Movement Through A
School – Math 2005 to 2007
7th SGP Medians (2005-2007) 8th SGP Medians (2005-2007) 9th SGP Medians (2005-2007)
80 80 80 9th
MedSGP_7th MedSGP_8th MedSGP_9th
8th
7th 2006
Year Year Year
June 17, 2008 10
SES & School Aggregates:
9th Grade Math
Average Scale Score Median Growth Percentile
AA A
A AA A
AA AA A
AAA A
AAAA AAA A 75
AAAA A AA AAA A AA
MeanScaleScore
A AA
A A AAA A A A A A
AA A
AAAA A A AA
AA A AA A A
AA A
A AA
AA A AA A A
AA A AA A AA A A AA
AA A AAA A AAAA A A
A AAA AAA A
MedSGP
AAA AAA AA A A A
AA A AA AA A A A A A
A AA A A AA A AA A
A A AA AA
A AA A A A A A AAA AAA A
A A AA AA AA AA A AA AA
A A AA A A AA A AA A A
AAA A A A AA A
A A A A AAA A A A
AA A A A AA A A AA
AA A AA A A A AA
A AA A A AA A A A 50 AA A A
A A AA
AA AA AA
A A AA A
AA AAA AAAAA AA AA AA
A A A A A A AA A A
A AAA
A A AA A
AA A A A AA AA A A A AA A
A A AA A A A
A A AAAAA A A AA AA A
A AA
A A A A AA A A A
AA A AA
A A A A AA AA
AA
A A A AA A AA A A A A
AAA A A A AA A
A A AA
ForR_Pct ForR_Pct
June 17, 2008 11
ELL & School Aggregates:
9th Grade Math
Average Scale Score Median Growth Percentile
A AA A A
AAAAA A A
AA A
AA
AAAAA AA 75
AAA AA A
AAA
A A AAAAA A A
MeanScaleScore
A AAA A
AAAA
AA A A AA A AA A A A
AAAAAA AA A
A AAAA AAA
AA
A AAA
AAAA A
AAAA AAAA AAA A A A
MedSGP
A AAA AA AA A A A A
AA
A AA A A AA A A AA
A A AAAAA A A AAAA A
A AAAAA A A A A A
AA
AA A
AA AAAA A A AA
AA A A A A A
AAAA A A A A
AAAAAAA AA A
AAA AA
A AAA A
A AAA A
AA A
A AA
A A AAA AA A A A 50 A
AAA A A A A
AA
AAAAAAAAAAAA
A AA
A AA
AAAA A AA
AAAA AAAAA A
A AA A A
AAAA AA A A
AAA A
AAA AA A
A A A A AAAA A AAA A A
AAAA A A A A A
550 AA A
A AA A A A A A
AAAA AA A A A
A A AAA AA
A AA A A A A A
A A AA
AA A A
A A 25 AA AA
ELL_Pct ELL_Pct
June 17, 2008 12
Validity Check: Alignment with an
Appropriate Trajectory Model
■ Ideally, broad conclusions regarding student
growth would not be sensitive to model
choice, assuming models used are
appropriate.
June 17, 2008 13
Recall: Scatter Plots and Correlation
Correlation = 0.975
Each point is a single
persons height
measured in inches
and in feet by
Height_ft
elementary students.
The points do not fall
A on a perfect line due to
A measurement error.
Height_in
June 17, 2008 15
2007 CEM Effects and Median SGP 9th
Grade Math
AA AA A
AA
A AA A A A A
CenteredEb0_07
A A A A AA A
A AA
A A AA A
A AAAA AA AA AAAA AA
A AA A A A
AA A
A A A AAAAA A A A
AAAAA
AAA A A A A A AAA
AA
AAA
AAA A
A A A A AA A A AA A A A A
AA AA A AA AAA
AA A A A AAA
AA
AA
AAAAA
AA
A AA A AAAA
AAA A
0 A AA A AAAA A
A AAA AA A
AAA
A A A AA AA
AAAA A AA A A A
A AAA AA
A AAAA A A AA A
A A A AAA AA
AA AAAA AAA AA AA
AA A A AA A A
AA
AA AAA
A A A A AA A AA AAA A
A A A AAA A AAA AA A A
A A A A AA AA A AA
AAA
A AA AA AA A
A AA A A
A A A AA A
A AA
Med_M07
June 17, 2008 16
2007 CEM Effects and Median SGP
Correlations for All Data Subsets
Grade Reading Writing Math
■ Note: SAR growth eligible students only.
June 17, 2008 17
Several Benefits of Student Growth
Percentiles:
■ Understandable at conceptual level which is
critical for generating meaningful discussions
■ Provides defensible and actionable answers to
basic questions about academic growth
■ Not overly dependent on measurement
properties of underlying instrument
■ Readily supports secondary analysis at district
and school level
June 17, 2008 18
Adoption and Use of Student Growth
Percentiles in Colorado
■ http://www.cde.state.co.us/index_accredit.htm
June 17, 2008 19
About this copy
Supporting Student Growth and Program Improvement with Colorado’s Growth Model — CCSSO, June 2008.
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