The Big Picture
Guiding Principals and Questions
The Colorado Growth Model
New Directions
Exploring Student Growth in Missouri
Changing Conversations about Education
Damian W. Betebenner
National Center for the Improvement of Educational Assessment
Dover, New Hampshire
Missouri Department of Education Webinar
April 18th, 2011
Damian W. Betebenner Student Growth in Missouri
The Big Picture
Guiding Principals and Questions
The Colorado Growth Model
New Directions
About Me
Dr. Damian Betebenner, PhD
Senior Associate at the Center for Assessment (NCIEA). De-
veloped student growth percentiles and percentile growth tra-
jectories to help states and educational associations em-
ploy student growth in decision making [Betebenner, 2008,
Betebenner, 2009]. Currently refining and sharing these tech-
niques with other states including Colorado, Massachusetts,
Arizona, Indiana, as well as more than a dozen other states
in various stages of investigation/adoption.
Damian W. Betebenner Student Growth in Missouri
The Big Picture
Guiding Principals and Questions
The Colorado Growth Model
New Directions
Today’s Topics
Questions that a growth model can/should address.
Student growth percentiles.
Student growth versus value-added
Changing conversations around education using growth data.
Damian W. Betebenner Student Growth in Missouri
The Big Picture
The Data Revolution
Guiding Principals and Questions
Why Growth?
The Colorado Growth Model
Accountability and Growth
New Directions
Data Data Everywhere
Enhanced data acquisition and management has enabled:
Historical (i.e., longitudinal) records of student
achievement
Linkage of student demographics, teachers, schools,
educational programs with student achievement data
Stakeholder interest in an examination of this longitudinal
data
Interest in examining student achievement over time
(student growth) derives from data availability.
Data , Information
Damian W. Betebenner Student Growth in Missouri
The Big Picture
The Data Revolution
Guiding Principals and Questions
Why Growth?
The Colorado Growth Model
Accountability and Growth
New Directions
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.
Education as a process (indicated by growth) as opposed
to a destination (indicated by status)
Damian W. Betebenner Student Growth in Missouri
The Big Picture
The Data Revolution
Guiding Principals and Questions
Why Growth?
The Colorado Growth Model
Accountability and Growth
New Directions
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 Missouri
The Big Picture
Guiding Principals and Questions Guiding Principals
The Colorado Growth Model Guiding Questions
New Directions
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 judg-
ment.
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 Student Growth in Missouri
The Big Picture
Guiding Principals and Questions Guiding Principals
The Colorado Growth Model Guiding Questions
New Directions
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 Missouri
The Big Picture
Guiding Principals and Questions Guiding Principals
The Colorado Growth Model Guiding Questions
New Directions
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 Student Growth in Missouri
The Big Picture
Guiding Principals and Questions Guiding Principals
The Colorado Growth Model Guiding Questions
New Directions
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 Student Growth in Missouri
The Big Picture
Guiding Principals and Questions Guiding Principals
The Colorado Growth Model Guiding Questions
New Directions
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 Student Growth in Missouri
The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
The Colorado Growth Model
Growth & Effectiveness
New Directions
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 (i.e., accountability).
Once stakeholders believed that the description of growth
was fair and credible, conversations about whether and
how to incorporate growth into accountability followed
more easily.
A viable 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 Missouri
The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
The Colorado Growth Model
Growth & Effectiveness
New Directions
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 Student Growth in Missouri
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The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
The Colorado Growth Model
Growth & Effectiveness
New Directions
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 Missouri
The Big Picture
Describing Student Growth
Guiding Principals and Questions
Combining Actual and Aspirational Growth
The Colorado Growth Model
Growth & Effectiveness
New Directions
Combining norms and standards
Growth adequacy is determined by whether a student’s
growth is sufficient to reach/maintain desired achievement
levels (e.g., proficiency).
A next step for the Archdiocese is to consider establishing
performance standards (ideally linked to content standards)
that can be used to qualify student achievement.
With established performance standards, percentile growth
projections/trajectories are calculated for each student to
reach/maintain desired levels of achievement.
Damian W. Betebenner Student Growth in Missouri
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
Example Student 12 (1234567812) Sample Middle School
Advanced
Math
Achievement
High
CSAP Math
● Scale Score
Typical
● Growth
Proficient
● Level Percentiles
Low
High 66th − 99th
● Typical 35th − 65th
Part Proficient
Low 1st − 34th
Unsatisfactory
Grade 3 Grade 4 Grade 5 Grade 6 Next Year
Scale Score 379 388 444 462
Achievement Level Part Proficient Part Proficient Part Proficient Part Proficient Achievement
Growth Percentile 16 69 51
Growth Level Low High Typical Growth
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
Advanced
Writing
Achievement
High
CSAP Writing
● Scale Score
Typical
● Growth
Proficient
Level Percentiles
● Low
High 66th − 99th
Part Proficient ● Typical 35th − 65th
Low 1st − 34th
Unsatisfactory
Grade 3 Grade 4 Grade 5 Grade 6 Next Year
Scale Score 425 449 469 504
Achievement Level Part Proficient Part Proficient Part Proficient Part Proficient Achievement
Growth Percentile 55 53 79
Growth Level Typical Typical High Growth
Copyright 2009, Colorado Department of Education/Center for Assessment, Inc.
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
The Colorado Growth Model
Growth & Effectiveness
New Directions
Going 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 Student Growth in Missouri
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
The Colorado Growth Model
Growth & Effectiveness
New Directions
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
This work group’s name reflects a more value-added
emphasis.
Damian W. Betebenner Student Growth in Missouri
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
The Colorado Growth Model
References
New Directions
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.
To this end, Colorado and other states have been inspired by
the Web 2.0 user-centered design philosophies and
technologies.
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 Missouri
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
The Colorado Growth Model
References
New Directions
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 Missouri
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
The Colorado Growth Model
References
New Directions
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.”
C. Edley (2006)
Damian W. Betebenner Student Growth in Missouri
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
The Colorado Growth Model
References
New Directions
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:
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.
14 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 Missouri
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
The Colorado Growth Model
References
New Directions
The Decade of Data Visualization
Chart Wars http://infosthetics.com/archives/2010/01/
chart_wars_the_political_power_of_data_
visualization.html
Hans Rosling/Gapminder
http://www.youtube.com/watch?v=jbkSRLYSojo
Journalism in the Age of Data
http://datajournalism.stanford.edu/
Damian W. Betebenner Student Growth in Missouri
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
The Colorado Growth Model
References
New Directions
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 Missouri
The Colorado Growth Model
Adopted Model
Near Model Adoption
Interested in Model
The Big Picture
Growth & Accountability
Guiding Principals and Questions
Web 2.0 Technologies
The Colorado Growth Model
References
New Directions
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.
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.
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 Missouri
About this copy
Exploring Student Growth in Missouri: Changing Conversations about Education — Missouri Department of Education, April 18, 2011.
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