The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model
Future Directions
References
The Colorado Growth Model
Changing Conversations about Education
Damian W. Betebenner
National Center for the Improvement of Educational Assessment
Dover, NH
REL Central Webinar with South Dakota
May 2nd, 2013
Damian W. Betebenner Colorado Growth Model
The Big Picture
Growth & Accountability
The Data Revolution
Growth & Accountability: The Colorado Growth Model
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 Colorado Growth Model
The Big Picture
Growth & Accountability
The Data Revolution
Growth & Accountability: The Colorado Growth Model
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 Colorado Growth Model
The Big Picture
Growth & Accountability Why Growth?
Growth & Accountability: The Colorado Growth Model Different Models/Different Questions
Future Directions Relevant Questions/Concepts
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 Colorado Growth Model
The Big Picture
Growth & Accountability Why Growth?
Growth & Accountability: The Colorado Growth Model Different Models/Different Questions
Future Directions Relevant Questions/Concepts
References
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.
The questions set the table for those conversations.
Yen (2007) for an excellent list of questions derived from a
survey of parent, teachers and administrators
Damian W. Betebenner Colorado Growth Model
The Big Picture
Growth & Accountability Why Growth?
Growth & Accountability: The Colorado Growth Model Different Models/Different Questions
Future Directions Relevant Questions/Concepts
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 Colorado Growth Model
The Big Picture
Growth & Accountability Why Growth?
Growth & Accountability: The Colorado Growth Model Different Models/Different Questions
Future Directions Relevant Questions/Concepts
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 Colorado Growth Model
The Big Picture
Growth & Accountability Why Growth?
Growth & Accountability: The Colorado Growth Model Different Models/Different Questions
Future Directions Relevant Questions/Concepts
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 Colorado Growth Model
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model Teacher & School Accountability
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 growth did a student make?
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 has purposely separated the description (what is) from
the determination of responsibility (who/what is responsible).
This separation promotes greater ownership of results and
participation in finding root causes.
Damian W. Betebenner Colorado 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
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model Teacher & School Accountability
Future Directions
References
The Colorado Growth Model
The Colorado Growth Model is based upon the open source and
Student Growth Percentile (SGP) methodology [Betebenner, 2008,
Betebenner, 2009, Betebenner et al., 2013]
The model is a norm and criterion-referenced growth model that
allows Colorado to answer How much? and Is it enough?.
The software used to calculate and visualize SGPs is free (open
source).
Colorado developed interactive visualization tools that can be freely
shared with other states to promote open development and use.
Currently over two dozen states are investigating or utilizing the
model.
Damian W. Betebenner Colorado Growth Model
The Colorado Growth Model
Adopted Model
Considering Adoption
Investigating Model
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model Teacher & School 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 Colorado Growth Model
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model Teacher & School Accountability
Future Directions
References
Going from Students to Schools
It’s of interest to examine schools/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) Colorado calculates the
median of the student growth percentiles.
If students were randomly assigned to schools, 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/classroom performance.
Damian W. Betebenner Colorado Growth Model
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
Descriptive Accountability
Growth & Accountability: The Colorado Growth Model
Web 2.0 Technologies
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 Colorado Growth Model
The Big Picture
Growth & Accountability
Descriptive Accountability
Growth & Accountability: The Colorado Growth Model
Web 2.0 Technologies
Future Directions
References
Web 2.0: Data Visualization and Social Networking
The Colorado Department of Education has embraced advanced
data visualization as a means of communicating complex data in a
manner that is accessible to non-technically inclined audience (e.g.,
parents).
The goal: Transform conversations about education through active
engagement with data (i.e., evidence).
Colorado’s efforts have received tremendous interest and
recognition:
Recognized by Adobe for innovative uses of their technology as an
Adobe Max Award finalist in October, 2009.
2010 NCME Award for Outstanding Dissemination of Educational
Measurement Concepts to the Public.
15 states signing MOUs to co-develop a cloud-based analysis and
data visualization platform in a non-proprietary fashion.
Work has just begun in to extend Colorado’s efforts in multiple states
including New Hampshire, Nevada, Rhode Island, Hawaii, and
Indiana.
Damian W. Betebenner Colorado Growth Model
The Big Picture
Growth & Accountability
Descriptive Accountability
Growth & Accountability: The Colorado Growth Model
Web 2.0 Technologies
Future Directions
References
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 Colorado Growth Model
The Big Picture
Growth & Accountability
Growth & Accountability: The Colorado Growth Model
Future Directions
References
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.
Betebenner, D. W., Van Iwaarden, A., and Domingue, B. (2013).
SGP: An R Package for the Calculation and Visualization of Student
Growth Percentiles & Percentile Growth Trajectories.
R package version 1.0-4.0.
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 Colorado Growth Model
About this copy
The Colorado Growth Model: Changing Conversations about Education — South Dakota Department of Education, May 2013.
This is an image-based copy of the original beamer slides; builds and animations are flattened.