The Big Picture
Guiding Principals and Questions
History: The Colorado Growth Model
Next Steps
The Maine Growth Model
Changing Conversations about Education
Damian W. Betebenner
National Center for the Improvement of Educational Assessment
Dover, New Hampshire
September 29th, 2010
Damian W. Betebenner The Maine Growth Model
The Big Picture
Guiding Principals and Questions
History: The Colorado Growth Model
Next Steps
About Me
Dr. Damian Betebenner, PhD
Senior Associate at the Center for Assessment (NCIEA).
Developed student growth percentiles and percentile
growth trajectories to help states and educational
associations employ student growth in decision
making [Betebenner, 2008, Betebenner, 2009].
In the process of refining and sharing these techniques
with other states including Colorado, Massachusetts,
Indiana, Virginia, New York and 15 other states in various
stages of investigation/adoption.
Interested in the rise of the data sciences/scientist: Data
analysis and data visualization and their use within
education
Damian W. Betebenner The Maine Growth Model
The Big Picture
Guiding Principals and Questions Why Student Growth?
History: The Colorado Growth Model Accountability & Student Growth
Next Steps
The Attractiveness of Student Growth
What is growth and why measure it?
Student learning is a central goal of education.
Assessments of student achievement provide evidence of
the current status of student knowledge and
understanding.
Learning is demonstrated by growth in student
achievement from one point in time to another–not by
status at either point time alone.
Damian W. Betebenner The Maine Growth Model
The Big Picture
Guiding Principals and Questions Why Student Growth?
History: The Colorado Growth Model Accountability & Student Growth
Next Steps
Accountability & Student Growth
Growth versus Status
Enthusiasm for growth in accountability stems from the
belief that teacher & school quality are more closely
related to student growth than status.
Enthusiasm for growth also stems from its potential
diagnostic uses.
How do we judge the use of student growth related
measures within an accountability system?
Damian W. Betebenner The Maine Growth Model
The Big Picture
Guiding Principals and Questions Guiding Principals
History: The Colorado Growth Model Guiding Questions
Next Steps
Guiding Principals
John Tukey
It is better to have an approximate answer to the right question
than a precise answer to the wrong question.
George E. P. Box
All models are wrong but some are useful.
Start at the end and work backward
The best model answers the questions of greatest
relevance to stakeholders.
Damian W. Betebenner The Maine Growth Model
The Big Picture
Guiding Principals and Questions Guiding Principals
History: The Colorado Growth Model Guiding Questions
Next Steps
Guiding Questions
Growth models address specific questions
Different growth analysis techniques are good at
answering different questions.
It is critical to understand these different questions.
Different questions lead to different conversations which
lead to different uses and outcomes.
Changing conversations about education
Starting with the right questions simplifies development
and motivating the proper use of the growth model results.
Identify the conversations you want to have. The
questions set the table for those conversations. See Yen
(2007) for an excellent list of questions derived from a
survey of parent, teachers and administrators
Damian W. Betebenner The Maine Growth Model
The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
History: The Colorado Growth Model
Growth & Effectiveness
Next Steps
History: The Colorado Growth Model
How much growth did a student make? Is it enough?
An important first step in the development of the Colorado
Growth Model was to begin discussions by separating the
description of growth from discussions of
responsibility/accountability.
Incorporating growth into accountability followed more
easily from the accepted description of growth.
The description of growth facilitated stakeholder
engagement and investigations of responsibility for
good/bad growth.
That in turn led to greater stakeholder support for
particular forms of accountability.
Damian W. Betebenner The Maine Growth Model
The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
History: The Colorado Growth Model
Growth & Effectiveness
Next Steps
Describing Student Growth
Measuring student growth, even with a vertical scale, is not a
simple task.
NECAP does not posess a vertical scale, so simply
subtracting scale scores is not defensible.
Some believe a vertical scale simplifies the task of measuring
student growth.
Even with an interval (or ratio) scale, growth and change
require context. Consider, for example, height.
A child might grow 4 inches between ages 3 and 4.
4 inches is a well understood quantity.
The 4 inch increase becomes really meaningful only when
understood alongside the growth of other 3 to 4 year olds.
Student growth percentiles were developed to provide a
norm-referenced basis for describing student growth.
Damian W. Betebenner The Maine Growth Model
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The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
History: The Colorado Growth Model
Growth & Effectiveness
Next Steps
Student Growth Percentiles
Should we be surprised with a child’s current achievement given
their prior achievement?
Student growth percentiles answer this question.
Consider a low achieving student with 90th percentile growth
and a high achieving student with 10th percentile growth.
The low achieving student grew at a rate exceeding 90 percent
of similar students.
The high achieving student grew at a rate exceeding just 10
percent of similar students.
The low achiever’s growth is more exemplary (probabilistically)
than the high achiever’s.
Judgments about the adequacy of student growth require
external criteria together with standard setting.
Damian W. Betebenner The Maine Growth Model
The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
History: The Colorado Growth Model
Growth & Effectiveness
Next Steps
Growth: Norms & Standards
The most common adequacy criterion are judging growth
toward an achievement goal (i.e., growth-to-standard).
Results from student growth percentile analyses can be used
to calculate percentile growth trajectories for each student.
These trajectories indicate what future rates of growth will
lead to and are used to make adequacy judgments.
This growth-to-standard approach was approved as part of
Colorado’s Growth Model Pilot Program application.
Damian W. Betebenner The Maine Growth Model
Advanced Reading
High
Achievement
CSAP Reading
● Typical
Scale Score
Proficient Growth
Low
● Level Percentiles
High 66th − 99th
Typical 35th − 65th
Part Proficient
● Low 1st − 34th
Unsatisfactory
Grade 3 Grade 4 Grade 5 Grade 6 Next Year
Scale Score 462 539 563 609
Achievement Level Unsatisfactory Part Proficient Part Proficient Proficient Achievement
Growth Percentile 66 66 90
Growth Level High High High Growth
NCIEA
CDE
Colorado Department of Education
High
Math
Advanced ●
Typical
Achievement
● Low
CSAP Math
● Scale Score
● ● Growth
Level Percentiles
Proficient
High 66th − 99th
Typical 36th − 65th
Part Proficient
Low 1st − 35th
Unsatisfactory
Grade 4 Grade 5 Grade 6 Grade 7 Next Year
Scale Score 515 517 589 603
Achievement Level Proficient Proficient Advanced Proficient Achievement
Growth Percentile 15 92 76
Growth Level Low High High Growth
2008 CSAP Growth & Achievement Report
Advanced High
Reading
Typical Achievement
CSAP Reading
Low ● Scale Score
Proficient Growth
Level Percentiles
● High 66th − 99th
Typical 36th − 65th
Part Proficient
Low 1st − 35th
Unsatisfactory
Grade 4 Grade 5 Grade 6 Grade 7 Next Year
Scale Score 567 620 652 657
Achievement Level Part Proficient Proficient Proficient Proficient Achievement
Growth Percentile 72 89 72
Growth Level High High High Growth
Advanced
High Writing
Achievement
● Typical
CSAP Writing
● Scale Score
Low
● ● Growth
Proficient
Level Percentiles
Example Student 3020
High 66th − 99th
Part Proficient Typical 36th − 65th
Low 1st − 35th
Unsatisfactory
Grade 4 Grade 5 Grade 6 Grade 7 Next Year
Scale Score 478 517 519 574
Achievement Level Part Proficient Proficient Proficient Proficient Achievement
Growth Percentile 77 44 86
Growth Level High Typical High Growth
The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
History: The Colorado Growth Model
Growth & Effectiveness
Next Steps
From Students to Groups of Students
It’s of interest to examine schools where students
demonstrate, on average, extraordinarily high and low student
growth.
To summarize the student growth percentiles associated with
a school (or other grouping) one calculates the median of the
student growth percentiles.
If students were randomly assigned to schools, one expects to
see a median of 50.
Values greatly above or below 50 are of interest in identifying
best practices or providing extra support.
Examining growth with achievement sheds new light on
school performance.
Damian W. Betebenner The Maine Growth Model
Maine: 2009−10 NECAP Growth & Achievement
Growth and Achievement NECAP Math Performance by School Poverty
100 Higher Achievement Higher Achievement School Size
90 Lower Growth X
X Higher Growth 50 Students
XXX 100 Students
XX
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XX X X XX X X
Fall 2009 Percent at/above Proficient
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● 20 to 40 percent
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● 40 to 60 percent
● 60 to 80 percent
● More than 80 percent
Lower Growth Higher Growth
0 Lower Achievement Lower Achievement
Fall 2009 Median Student Growth Percentile
Maine: 2009−10 NECAP Growth & Achievement
Growth and Achievement NECAP Math Performance by School Poverty
100 Higher Achievement Higher Achievement School Size
90 Lower Growth X
Higher Growth 50 Students
100 Students
X 250 Students
Fall 2009 Percent at/above Proficient
500 Students
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● 20 to 40 percent
● 40 to 60 percent
● 60 to 80 percent
● More than 80 percent
Lower Growth Higher Growth
0 Lower Achievement Lower Achievement
Fall 2009 Median Student Growth Percentile
Maine: 2009−10 NECAP Growth & Achievement
Growth and Achievement Reading Performance by School Poverty
100 Higher Achievement Higher Achievement School Size
Lower Growth Higher Growth
X 50 Students
90 XX
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● Less than 20 percent
● 20 to 40 percent
● 40 to 60 percent
● 60 to 80 percent
20 ● More than 80 percent
Lower Growth Higher Growth
0 Lower Achievement Lower Achievement
Fall 2009 Median Student Growth Percentile
Maine: 2009−10 NECAP Growth & Achievement
Growth and Achievement Reading Performance by School Poverty
100 Higher Achievement Higher Achievement School Size
90 Lower Growth Higher Growth 50 Students
100 Students
X X 250 Students
Fall 2009 Percent at/above Proficient
X X 500 Students
X X XX
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X Lunch Students
● Less than 20 percent
● 20 to 40 percent
● 40 to 60 percent
● 60 to 80 percent
20 ● More than 80 percent
Lower Growth Higher Growth
0 Lower Achievement Lower Achievement
Fall 2009 Median Student Growth Percentile
The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
History: The Colorado Growth Model
Growth & Effectiveness
Next Steps
Growth, Effectiveness, and Value-Added
Fundamental Premise
“Good” schools bring about student growth in excess of that
found at “bad” schools.
“Good schools” are often called highly effective schools.
What’s the relationship between growth and effectiveness?
Effectiveness indicates who/what is responsible for the growth
(value-added models).
Stakeholder questions provided by Yen make no mention of
effectiveness placing a greater emphasis on description
High stakes accountability has transformed questions about
student growth into questions about responsibility/cause:
Teacher and School/Principal Effectiveness.
Damian W. Betebenner The Maine Growth Model
The Big Picture
Guiding Principals and Questions Growth & Accountability
History: The Colorado Growth Model References
Next Steps
Next Steps for Growth Data
Calculating growth quantities is the first and easiest step in
the development and deployment of a growth model.
The end goal is to change conversations about education
through the examination and use of data.
Reporting data to stakeholders throughout the state in
engaging and meaningful ways is essential to transforming
conversations about education.
Damian W. Betebenner The Maine Growth Model
The Big Picture
Guiding Principals and Questions Growth & Accountability
History: The Colorado Growth Model References
Next Steps
Descriptive Accountability
“Accountability system results can have value without making
causal inferences about school quality, solely from the results of
student achievement measures and demographic characteristics.
Treating the results as descriptive information and for identification
of schools that require more intensive investigation of
organizational and instructional process characteristics are
potentially of considerable value. Rather than using the results of
the accountability system as the sole determiner of sanctions for
schools, they could be used to flag schools that need more
intensive investigation to reach sound conclusions about needed
improvements or judgments about quality.”
R. L. Linn (2008)
Damian W. Betebenner The Maine Growth Model
The Big Picture
Guiding Principals and Questions Growth & Accountability
History: The Colorado Growth Model References
Next Steps
Web 2.0: Data Visualization and Social Networking
With a collaborative spirit, with a collaborative platform where
people can upload data, explore data, compare solutions, discuss
the results, build consensus, we can engage passionate people,
local communities, media and this will raise–incredibly–the amount
of people who can understand what is going on.
And this would have fantastic outcomes: the engagement of
people, especially new generations; it would increase knowledge,
unlock statistics, improve transparency and accountability of public
policies, change culture, increase numeracy, and in the end,
improve democracy and welfare.
E. Giovannini, Chief Statistician, OECD. June 2007
Damian W. Betebenner The Maine Growth Model
The Big Picture
Guiding Principals and Questions Growth & Accountability
History: The Colorado Growth Model References
Next Steps
References
Betebenner, D. W. (2008).
Toward a normative understanding of student growth.
In Ryan, K. E. and Shepard, L. A., editors, The Future of
Test-Based Educational Accountability, pages 155–170. Taylor
& Francis, New York.
Betebenner, D. W. (2009).
Norm- and criterion-referenced student growth.
Educational Measurement: Issues and Practice, 28(4):42–51.
Linn, R. L. (2008).
Educational accountability systems.
In The Future of Test-Based Educational Accountability, pages
3–24. Taylor & Francis, New York.
Yen, W. M. (2007).
Vertical scaling and No Child Left Behind.
In Dorans, N. J., Pommerich, M., and Holland, P. W., editors,
Linking and Aligning Scores and Scales, pages 273–283.
Springer, New York.
Damian W. Betebenner The Maine Growth Model
About this copy
The Maine Growth Model: Changing Conversations about Education — Maine Department of Education, September 29, 2010.
This is an image-based copy of the original beamer slides; builds and animations are flattened.