The Big Picture
Guiding Principals and Questions
Descriptive Growth – The Colorado Growth Model
Student Growth: Next Steps
Student Growth & Judgments of Education Quality
Damian W. Betebenner
National Center for the Improvement of Educational Assessment
Dover, New Hampshire
Virginia Department of Education
Evaluation Workgroup Meeting
Richmond, Virginia August 16th, 2010
Damian W. Betebenner Student Growth in Virginia
The Big Picture
Guiding Principals and Questions
Descriptive Growth – The Colorado Growth Model
Student Growth: 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].
- Currently refining and sharing these techniques with other
states including Virginia, Colorado, Massachusetts,
Arizona, Indiana, and about 15 other states in various
stages of investigation/adoption.
Damian W. Betebenner Student Growth in Virginia
The Big Picture
A Revolution of Data
Guiding Principals and Questions
Why Growth?
Descriptive Growth – The Colorado Growth Model
Accountability and Growth
Student Growth: Next Steps
Data Data Everywhere
Enhanced data acquisition and management has enabled:
Historical records of student achievement
Historical records of student demographics, teachers,
schools, educational programs, . . .
Stakeholder interest in an examination of this longitudinal
data
Interest in examining student achievement over time (student
growth) derives from data availability.
Damian W. Betebenner Student Growth in Virginia
The Big Picture
A Revolution of Data
Guiding Principals and Questions
Why Growth?
Descriptive Growth – The Colorado Growth Model
Accountability and Growth
Student Growth: Next Steps
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 Student Growth in Virginia
The Big Picture
A Revolution of Data
Guiding Principals and Questions
Why Growth?
Descriptive Growth – The Colorado Growth Model
Accountability and Growth
Student Growth: Next Steps
Accountability & Growth
Growth versus Status
Enthusiasm for growth in accountability stems from the
belief that growth and teacher/school quality are more
closely related than status.
Enthusiasm for growth also stems from its potential
diagnostic uses.
How do we judge the use of growth related measures
within an accountability system?
Damian W. Betebenner Student Growth in Virginia
The Big Picture
Guiding Principals and Questions Guiding Principals
Descriptive Growth – The Colorado Growth Model Guiding Questions
Student Growth: 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 Student Growth in Virginia
The Big Picture
Guiding Principals and Questions Guiding Principals
Descriptive Growth – The Colorado Growth Model Guiding Questions
Student Growth: 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.
It’s all about the conversations you want to have. The
questions set the table for those conversations.
Damian W. Betebenner Student Growth in Virginia
The Big Picture
Guiding Principals and Questions Guiding Principals
Descriptive Growth – The Colorado Growth Model Guiding Questions
Student Growth: Next Steps
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 Student Growth in Virginia
The Big Picture
Guiding Principals and Questions Guiding Principals
Descriptive Growth – The Colorado Growth Model Guiding Questions
Student Growth: Next Steps
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 Student Growth in Virginia
The Big Picture
Guiding Principals and Questions Guiding Principals
Descriptive Growth – The Colorado Growth Model Guiding Questions
Student Growth: Next Steps
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 Student Growth in Virginia
The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
Descriptive Growth – The Colorado Growth Model
Growth & Effectiveness
Student Growth: Next Steps
Descriptive Growth – 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 separate the description of growth
from discussions of responsibility/accountability.
Incorporating growth into accountability follows more
easily from a credible description of growth.
A credible description of growth facilitates stakeholder
engagement and investigations of responsibility for
good/bad growth.
This in turn leads to greater stakeholder support for
particular forms of accountability.
Damian W. Betebenner Student Growth in Virginia
The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
Descriptive Growth – The Colorado Growth Model
Growth & Effectiveness
Student Growth: Next Steps
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 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 Student Growth in Virginia
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The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
Descriptive Growth – The Colorado Growth Model
Growth & Effectiveness
Student Growth: 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.
Damian W. Betebenner Student Growth in Virginia
The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
Descriptive Growth – The Colorado Growth Model
Growth & Effectiveness
Student Growth: Next Steps
Establishing growth-standards based upon growth-norms
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 Student Growth in Virginia
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
2008 CSAP Mathematics
Growth and Achievement Chart
2008 Achievement Percentile Percentile Growth Trajectory
Scale Score
Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 9 Grade 10
The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
Descriptive Growth – The Colorado Growth Model
Growth & Effectiveness
Student Growth: 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 distributed amongst 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 Student Growth in Virginia
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
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
Descriptive Growth – The Colorado Growth Model
Growth & Effectiveness
Student Growth: 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).
Yen’s questions make no mention of effectiveness placing a
greater emphasis on description
Damian W. Betebenner Student Growth in Virginia
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
Descriptive Growth – The Colorado Growth Model
References
Student Growth: Next Steps
Data (Evidence) Everywhere
They say that genius is an infinite capacity for taking pains.
It’s a very bad definition, but it does apply to detective work.
Sherlock Holmes
in “A Study in Scarlet”
Damian W. Betebenner Student Growth in Virginia
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
Descriptive Growth – The Colorado Growth Model
References
Student Growth: Next Steps
The Revolution in 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 technologies (data visualization) inspired by the
Web 2.0 user-centered design philosophies and technologies
are key.
The goal is to produce data visualization and social
networking tools to turn data into information for all education
stakeholders and ultimately change conversations about
education.
Damian W. Betebenner Student Growth in Virginia
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
Descriptive Growth – The Colorado Growth Model
References
Student Growth: 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 Student Growth in Virginia
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
Descriptive Growth – The Colorado Growth Model
References
Student Growth: Next Steps
Web 2.0: Data Visualization and Social Networking
The Colorado Department of Education and the Center for
Assessment have been working for the last two years on
developing next generation data visualization to accompany
growth model data.
The goal: Transform conversations about education through
active engagement with data (i.e., evidence).
Our efforts have received tremendous interest and
recognition:
Received the 2010 annual award for Outstanding
Dissemination of Educational Measurement Concepts to the
Public by the National Council on Measurement in Education.
Recognized by Adobe for innovative uses of their technology
as an Adobe Max Award finalist in October, 2009.
Multiple states signing MOUs to co-develop a cloud-based
reporting platform in a non-proprietary fashion.
Colorado recently devoted $2.5 million of stimulus funds to the
development efforts
Damian W. Betebenner Student Growth in Virginia
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
Descriptive Growth – The Colorado Growth Model
References
Student Growth: Next Steps
Web 2.0: Data Visualization and Social Networking
Virginia and 10 other states (Indiana lead fiscal) recently
applied for an Enhanced Assessment Grant to build out this
platform.
Beginning with the base functionality already in place in
Colorado, states will be able to refine and customize as they
see fit.
As innovative ideas emerge, they will be shared
non-commercially with others using the platform.
The goal is to let the best stories/visualizations emerge and
proliferate.
We’ll probably hear by late September whether we’ve
received the grant.
Damian W. Betebenner Student Growth in Virginia
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
Descriptive Growth – The Colorado Growth Model
References
Student Growth: 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 numerary, and in the end,
improve democracy and welfare.
E. Giovannini, Chief Statistician, OECD. June 2007
Damian W. Betebenner Student Growth in Virginia
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
Descriptive Growth – The Colorado Growth Model
References
Student Growth: 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 Student Growth in Virginia
About this copy
Student Growth & Judgments of Education Quality — Virginia Department of Education, August 16, 2010.
This is an image-based copy of the original PDF slides; builds and animations are flattened.