The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model
Student Growth Percentiles and Accountability
Future Directions
References
The Power of Growth Data: Summative and Beyond
Damian W. Betebenner
National Center for the Improvement of Educational Assessment
Dover, NH
AASA Conference
Houston, Texas February 2012
Damian W. Betebenner The Power of Growth Data
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model The Data Revolution
Student Growth Percentiles and Accountability Lessons Learned
Future Directions
References
From a Paucity to a Plethora of Data
Data Data Everywhere (The Economist, 2010)
More and better organized data: mega, giga, tera, peta, exa,
zetta, yotta!
Historical records of student achievement.
Linkage of student achievement to student demographics,
teachers, schools, educational programs, . . .
Stakeholder interest in examining student achievement over
time (student growth) derives from data availability.
Damian W. Betebenner The Power of Growth Data
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model The Data Revolution
Student Growth Percentiles and Accountability Lessons Learned
Future Directions
References
A Recurring Metaphor
Data as a window and a mirror
Damian W. Betebenner The Power of Growth Data
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model The Data Revolution
Student Growth Percentiles and Accountability Lessons Learned
Future Directions
References
Lessons Learned
On Questions John Tukey
It is better to have an approximate answer to the right question than a precise answer to the
wrong question.
On Statistical Models George E. P. Box
All models are wrong but some are useful.
On Understanding Aristotle
We understand best those things we see emerge from their very beginnings.
On Accountability Sherlock Holmes
It is a capital mistake to theorize before you have all the evidence. It biases the judgment.
On Theories of Action Confucius
Tell me and I will forget, show me and I will remember, involve me and I will understand.
Damian W. Betebenner The Power of Growth Data
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model Why Growth?
Student Growth Percentiles and Accountability Relevant Questions/Concepts
Future Directions
References
The Attractiveness of 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 point in time–not by status at
either point time alone.
Damian W. Betebenner The Power of Growth Data
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model Why Growth?
Student Growth Percentiles and Accountability Relevant Questions/Concepts
Future Directions
References
What are the relevant questions for parents?
Yen (2007), from a state survey of parents, teachers and administrators,
compiled a list of frequently voiced questions/concerns by stakeholder
group.
Parent Questions
Did my child make a year’s worth of progress in a year?
Is my child growing appropriately toward meeting state
standards?
Is my child growing as much in Math as Reading?
Did my child grow as much this year as last year?
Damian W. Betebenner The Power of Growth Data
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model Why Growth?
Student Growth Percentiles and Accountability Relevant Questions/Concepts
Future Directions
References
What are the relevant questions for teachers?
Yen (2007), from a state survey of parents, teachers and administrators,
compiled a list of frequently voiced questions/concerns by stakeholder
group.
Teacher Questions
Did my students make a year’s worth of progress in a year?
Did my students grow appropriately toward meeting state
standards?
How close are my students to becoming Proficient?
Are there students with unusually low growth who need special
attention?
Damian W. Betebenner The Power of Growth Data
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model Why Growth?
Student Growth Percentiles and Accountability Relevant Questions/Concepts
Future Directions
References
What are the relevant questions for administrators?
Yen (2007), from a state survey of parents, teachers and administrators,
compiled a list of frequently voiced questions/concerns by stakeholder
group.
Administrator Questions
Did the students in our district/school make a year’s worth of
progress in all content areas?
Are our students growing appropriately toward meeting state
standards?
Does this school/program show as much growth as that one?
Can I measure student growth even for students who do not
change proficiency categories?
Can I pool together results from different grades to draw
summary conclusions?
Damian W. Betebenner The Power of Growth Data
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model Why Growth?
Student Growth Percentiles and Accountability Relevant Questions/Concepts
Future Directions
References
What are the relevant questions for policy makers?
Policy Maker Questions
Can/how should student growth be used in judgments of
educator quality?
Can/how should student growth be used in judgments of
education (e.g., school) quality?
Are students on track for career and college readiness?
What adjustments for student demographics need to be
considered?
Damian W. Betebenner The Power of Growth Data
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model Describing Student Growth
Student Growth Percentiles and Accountability Student Growth Percentiles
Future Directions
References
Growth & Accountability: The Colorado Growth Model
How much growth & is it enough?
Colorado begins conversations about education/educator
quality by answering two questions:
How much: How much growth did a student make?
Is is enough: Is it enough growth to reach or maintain proficiency?
Answering these two questions in a credible and clear manner
sets the stage for subsequent accountability discussions.
Colorado purposely separated the description (what is) from the
determination of responsibility (who/what is responsible).
This separation promoted greater ownership of results and
participation in finding root causes.
Damian W. Betebenner The Power of Growth Data
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model Describing Student Growth
Student Growth Percentiles and Accountability Student Growth Percentiles
Future Directions
References
Describing Student Growth
Measuring student growth, even with a vertical scale, is not a simple
task.
Some believe a vertical scale simplifies the task of measuring
student growth.
Even with an interval (or ratio) scale, growth is not easy to interpret.
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 normative
context for describing student growth.
Damian W. Betebenner The Power of Growth Data
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The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model Describing Student Growth
Student Growth Percentiles and Accountability Student Growth Percentiles
Future Directions
References
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 75th percentile growth and a
high achieving student with 25th percentile growth.
The low achieving student grew at a rate exceeding 75 percent of their
academic peers.
The high achieving student grew at a rate exceeding just 25 percent of
their academic peers.
The low achiever’s growth is more exemplary (probabilistically) than
the high achiever’s.
Judgments about the adequacy of student growth require external
criteria.
Damian W. Betebenner The Power of Growth Data
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
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model
Teacher & School Accountability
Student Growth Percentiles and Accountability
Future Directions
References
Going from Students to Classrooms/Schools
It’s of interest to examine schools and classrooms where students
demonstrate, on average, extraordinarily high and low student
growth.
To summarize the student growth percentiles associated with a
school, classroom or other grouping calculate the median of the
student growth percentiles.
If students were randomly sampled, expect 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 Power of Growth Data
District C: 2008 CSAP Math School Results
Student Growth versus Student Achievement by Percent Free/Reduced Lunch
School Percent
Higher Achievement Higher Achievement Free/Reduced Lunch
Lower Growth Higher Growth
Percent at/above Proficient in School
Less than 20 percent
● 20 to 40 percent
● 40 to 60 percent
● 60 to 80 percent
● More than 80 percent
School Size
50 Students
100 Students
200 Students
30 500 Students
1,000 Students
10 Lower Growth Higher Growth
Lower Achievement Lower Achievement
Median of Student Growth Percentiles in School
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model
Descriptive Accountability
Student Growth Percentiles and Accountability
Future Directions
References
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 [Linn, 2008, p. 21].
Damian W. Betebenner The Power of Growth Data
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model
Descriptive Accountability
Student Growth Percentiles and Accountability
Future Directions
References
Descriptive Accountability
“This is the difference between a retrospective question of identifying
fault as opposed to a prospective strategy to engineer some corrective
measure, almost independent of considering whether there was
blame-worthiness. And to move away from the blame-worthiness
paradigm toward something that is more regulatory in nature where one
might seize upon disparities or circumstances that are for some reason
deemed unacceptable and engineer the interventions needed to bring
about the necessary change. . . . It’s the no-fault gap closing strategy in
which the effort is to build a consensus about a vision of an improved
society rather than figure out where’s the person we want to pillory.”
Christopher Edley (2006)
Damian W. Betebenner The Power of Growth Data
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model
Student Growth Percentiles and Accountability
Future Directions
References
References
Edley, C. (2006).
Educational “Opportunity" is the highest civil rights priority. So what
should researchers and lawyers do about it?
Retrieved June 22, 2006 from the World Wide Web:
http://www.softconference.com/MEDIA/WMP/260407/#43.010.
Linn, R. L. (2008).
Educational accountability systems.
In The Future of Test-Based Educational Accountability, pages 3–24.
Taylor & Francis, New York.
The Economist and Cukier, K. (2010).
Data data everywhere.
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 Power of Growth Data
About this copy
The Power of Growth Data: Summative and Beyond — AASA, February 17, 2012.
This is an image-based copy of the original beamer slides; builds and animations are flattened.