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Copyright Carol Tomlinson 2009 1
What is a Grade????“…a grade (is)…an inadequate report
of an imprecise judgmentof a biased and variable judgeof the extent to whicha student has attainedan undefined level of masteryof an unknown proportionon an indefinite amountof materials
Paul Dressell,Michigan State University
To Untangle the Grading Knot
We need to consider two elements:
1) Grading issues of particular concern in a differentiated
classroom
2) Best practices in assessment
and grading
3) Whether or not best practices in
assessment & grading would
adequately address the issues
related to grading &
differentiation.
Unless we understand both the issues related to academically diverse classrooms and best practices in assessment & grading (and their interrelationship) we’ll stay tied in a knot! And unless the former leads us to solve the latter, we have a problem as well.
Copyright Carol Tomlinson 2009 2
All learners need
a balanced success
to effort ratio
Struggling
Learners:
Heavy Effort
Little Success
Advanced
Learners:
Great Success,
Little Effort
Copyright Carol Tomlinson 2009 3
“Unless the highly able must also struggle in order to grow, education has not appropriately defined or operationalized excellence in schools.
When students stand for extended time in spaces with ceilings of expectation that are too low, the students’ capacity is bent, misshapen and malformed, exactly as their bodies would be if encased in spaces with ceiling too low for their stature.
The twin threats of perfectionism and lethargy are spawned when a child comes to believe that that which is easy is exemplary.”
Carol Tomlinson
Roeper Review, June 1994
A Repair Kit for Grading by Ken O’Connor • Educational Testing Service, • p. 11
The research on motivation shows that continued use
of extrinsic motivators leads to two main results.
First, extrinsic motivators increase students’ focus
on the reward or punishment rather than on the
desired behavior.
Second, they give rise to the need to continuously
increase the amount of the reward or punishment to
elicit the desired behavior (Covington and Manheim Teel,
1996; Gathercoal, 1997; Ginsberg, 2004; Kohn, 1993;
Marshall, 200la; Rogers, Ludington, and Graham, 1998;
Szatanski and Taafe, 1990).
If the question is, “Do rewards
motivate students?”
the answer is,
“Absolutely! They motivate students
to get rewards.”
Zen And The Art of Public School Teaching by John Perricone • Publish America • p. 68
Copyright Carol Tomlinson 2009 4
The Unspoken Effect of Grades
For some students, the certainty of praise
and success in school has become a drug;
they continually need more.
For many other students, year upon year of
“not good enough” has eroded their
intellectual self-confidence and resulted in
a kind of mind-numbing malaise.
Earl, L. (2003). Assessment as learning. Thousand Oaks, CA: Corwin, p. 15.
- Mindset +
Fixed Mindset
Learners
• Give up faster
• Persist less often
• Resist challenge/play it safe
• Feel hopeless or entitled
• Focus more on grades than
learning
• See feedback as punitive
• Cheat more often
Fluid Mindset
Learners
• Care more about learning
than grades
• Keep trying in the face of
difficulty
• Believe effort will pay off
• See feedback as useful
information
• Cheat less often
Carol Dweck—Mindset: The New Psychology of Success (2006)
What is
Fair in
School?
Copyright Carol Tomlinson 2009 5
Applications, Challenges…
Is an Imbalance of Success to Effort Ratio Evident in Your School?
What Kind of Mindset Dominates?
Is “Fairness” an Issue?
What other DI & Grading Issues Do You See Where
You Work?
Essential Question: To what degree would adhering to the key principles of
effective grading address the differentiation-related concerns about grading
while eliminating error and communicating clearly to students & parents?
We should seek to ensure that grades:
1)Keep the Success to Effort Ratio in Balance
That is, grades (in conjunction with school
tasks/experiences) contribute to the student’s
sense that when they work hard, something
good generally comes of it.
2) Ensure that students develop a growth mindset
That is, grades (in conjunction with school
tasks/experiences) contribute to student trust
that sustained effort and hard work make
most things possible.
Copyright Carol Tomlinson 2009 6
We should seek to ensure that grades:
1)Communicate Clearly
That is, a parent can trust that the grade is a
very accurate representation of just what a
student knows, understands, and can do in a
given subject, at a given time, based on clearly
understood criteria.
2) Support the parent in supporting learning
That is, grades guide parents in what to do
next to encourage student growth.
We should seek to ensure that grades are:
1)RELIABLE—
That is, that if we were to use the same
measure a couple of days, weeks, or months
later, the results would be relatively the same
for a given student.
2) VALID—
That is, we actually measured what we meant
to measure.
X = T + E
The Observed Score = the True Score + Error
The Grade We Give Really Indicates What the Student
Knows, Understands, and Can Do + Extraneous Factors
that Get in the Way of Indicating Precisely What the
Student Knows, Understands and Can Do.
For Grades to Be Valid, We Have to Do All We Can Do
to Eliminate Error.
That’s the Game Plan for Grading: To Ensure that Our
Grades are as Close as Possible to the Student’s
“True Score.”
Copyright Carol Tomlinson 2009 7
Let’s examine six key principles
of best-practice grading
to see if they would
help us address concerns that
arise in regard to grading &
differentiation, balance the
success to effort ratio, help
develop a growth mindset,
communicate clearly, and eliminate error.
Principles of Effective Grading & Reporting
Principle #1
• It’s unwise to
over-grade
student work
Diagnostic/Pre-assessment - assessment which takes place
prior to instruction; designed to determine a student's
attitude, skills or knowledge in order to identify student
needs.
Formative/On-Going - Assessment designed to provide
direction for improvement and/or adjustment to a
program for individual students or for a whole class,
e.g. observation, quizzes, homework, instructional
questions, exit cards, initial drafts/attempts, etc.
Summative/Final - Assessment/evaluation designed to
provide information to be used in making judgment
about a student’s achievement at the end of a
sequence of instruction, e.g. final drafts/attempts,
tests, exams, assignments, projects, performances.
Copyright Carol Tomlinson 2009 8
To Avoid Over-Grading
• Never grade pre-assessments
– Students have had no opportunity to learn
• Grade on-going assessments sparely
– Students need opportunity to practice, analyze work,
& learn from errors in a safe context
• Use summative assessments as primary data
for grading
– Make sure assessments are squarely focused on the
criteria specified to students
Marking vs. Grading
Some work can be recorded as done or not done.
Some work can be skimmed for a general impression
(e.g. first drafts in writing).
Some work can be assessed by looking at one or two
key characteristics.
Some work can be assessed by peers (which gives them
practice in identifying strengths & weaknesses)
O’Connor, K. (2002). How to Grade for Learning. Pearson, p. 116.
Students can be assessed or checked
on many things they do…
BUTeverything that is assessed and/or
checked does not need a score…
AND
every score should not be included in
the grade.
Copyright Carol Tomlinson 2009 9
Kinds of feedback: Israel (1)
• 264 low and high ability year 7 pupils in 12 classes in 4 schools; analysis of 132 students at top and bottom of each class
• Same teaching, same aims, same teachers, same class work
• Three kinds of feedback: marks, comments, marks+comments
[Butler(1988) Br. J. Educ. Psychol., 58 1-14]
Feedback Gain Attitude
grades none top +ve
none bottom -ve
comments 30% all +ve
both none top +ve
none bottom -ve
From a presentation by Dylan Wiliam - “Inside the Black Box”
Not over-grading would:
Allow struggling learners to develop competence before
work “count” for a grade—therefore improving
the chances of success stemming from their effort.
Encourage advanced learners to take intellectual risks and
learn to embrace challenge without fear of losing
success (and losing self image).
Principles of Effective Grading & Reporting
Principle #2
Grades should be
based on clearly
specified learning
goals
Copyright Carol Tomlinson 2009 10
Clear Learning Goals Are:
• Known to the student and teacher throughout the learning cycle
• Essential rather than tangential or trivial
• The unambiguous focus of assessments
• The focus of feedback
“Systems that are aligned - curriculum,
teaching, and assessment - have a
greater chance of success for students.”
Glenda Lappan, NCTM News Bulletin, October, 1998
Planning with very clear learning goals would:
Allow teachers to focus the efforts of struggling learners
on what matters most vs. expecting everything—
therefore improving the chances of success
stemming from their effort.
Encourage advanced learners to take intellectual risks and
learn to embrace challenge with clarity about
what will constitute excellence—therefore
supporting the likelihood of success at a
new level of effort—vs. having the student
fail at a new level of effort.
Copyright Carol Tomlinson 2009 11
Principles of Effective Grading & Reporting
Principle #3
Grades should be
criterion-based,
not norm-based
Concerns: Normal Curve
• Assumes aptitude and performance
are normally distributed
• Forces a particular set of scores into
a normal distribution
Transforming Classroom Grading by Robert Marzano
In Norm-Based Grading Systems
The Human Factor Suffers:
• There will necessarily be winners and losers competing for scarce rewards.
• The implications for learning environment are predictably negative.
• The outcomes for both struggling and advanced learners carry high negatives as well.
Copyright Carol Tomlinson 2009 12
Grading on the curve makes learning a highly com-
petitive activity in which students compete against
one another for the few scarce rewards (high grades)
distributed by the teacher. Under these conditions,
students readily see that helping others become suc-
cessful threatens their own chances for success. As a
result, learning becomes a game of winners and losers;
and because the number of rewards is kept arbitrarily
small, most students are forced to be losers.
---Guskey, 1996a, pp. 18-19 in Ä Repair Kit for Grading by Ken O’Connor -
Pub. Educational Training Service • p. 72
Grading on the curve makes learning a highly
competitive activity in which students compete against
one another for the few scarce rewards (high grades)
distributed by the teacher. Under these conditions,
students readily see that helping others become
successful threatens their own chances for success. As
a result, learning becomes a game of winners and losers;
and because the number of rewards is kept arbitrarily
small, most students are forced to be losers.
---Guskey, T. 1996a, pp. 18-19 in A Repair Kit for Grading by Ken O’Connor -
Educational Testing Service • p. 72
Using a Criterion-Base for Grading
• Makes the meaning of grades clearer
• Removes the need for
winners and losers
• Helps align instruction
& grading
Grading against clearly specified criteria vs. “on the curve” would:
Eliminate the need for winners and losers.
Lessen the predictability of who will be a winner or a loser.
Support the concept of competition against oneself vs. against
peers.
Support development of community.
Copyright Carol Tomlinson 2009 13
Pluses, Minuses, Questions…
What are the benefits of : Grading Less, Having Clear and Specified Learning
Goals, and Grading Based on those Goals (vs. on a Norm)?
What Problems Might Those Best-Practice Grading Principles Cause?
What Questions Do You Have about those Principles?
Principles of Effective Grading and
Reporting
Principle # 4
Data used for grading
must be valid (measure
what we intend to measure).
That is, the data must be free
of “Grade Fog.”
Common Sources of Bias and Distortion
Problems that can occur with the student
Lack of reading skill
Emotional upset
Poor health
Lack of testwiseness
Evaluation anxiety
Problems that can occur with the setting
Physical conditions – light, heat, noise, etc.
Problems that can occur with the assessment itself
Directions lacking or unclear
Poorly worded questions/prompts
Insufficient time
Based on the ideas of Rick Stiggins
Copyright Carol Tomlinson 2009 14
Grades are broken when zeros are used:
Zeros distort the actual achievement record
and can decrease student motivation to
learn.
There are, however, many fixes in the form of grading alternatives.
Schools/districts develop policies regarding these alternatives, then indicate to
their teachers which alternative(s) they can or should use in their classrooms.
A zero has an underserved and devastating influence so much
so that no matter what the student does, the grade distorts the
final grade as a true indicator of mastery. Mathematically and
ethically this is unacceptable. Wormeli, 2006, pp. 137-138
A Repair Kit for Grading by Ken O’Connor • Educational Testing Service, • p. 91-92
Whenever I hear statistics being
quoted, I am reminded of the
statistician who drowned while wading
across a river with an average depth of
three feet.(McMann, 2003, np)
The mean can be very well named -- it is truly “mean” to students because it
overemphasizes outlier scores, which are most often low outliners. As we see
in the following case, the calculation of the mean can distort the final grade.
Ten assessments have been converted to percentage scores to calculate a final
grade:
91, 91, 91, 91. 91. 91. 91. 70. 91. 91
Total; = 889. Mean = 88/9. Final grade = B
This student performed at an A level, 9 times out of 10 and the 70 is clearly an
anomaly. But the grade as calculated in most schools would be a B.
A Repair Kit for Grading by Ken O’Connor • Educational Testing Service, • p. 81-82
Eliminating grade fog would:
Foster clear communication to parents and students about grades.
Focus students on content goals.
Help balance the success to effort ratio for strugglers by taking
grading focus of things like language proficiency,
working fast, putting names in specified places, etc.
Necessitate focus on content goals vs. “slick” presentations,
impressive vocabulary, “playing the game” well,
etc. for “savvy” learners.
Copyright Carol Tomlinson 2009 15
Principles of Effective Grading and
Reporting
Principle # 5
Grade later in the
learning cycle
rather than
earlier.
“The key question is, “What information provides the
most accurate depiction of students’ learning at this
time?” In nearly all cases, the answer is “the most
current information.” If students demonstrate that
past assessment information no longer accurately
reflects their learning, that information must be
dropped and replaced by the new information.
Continuing to rely on past assessment data
miscommunicates students’ learning.”
Guskey, Thomas R. (Editor), Communicating Student Learning: The 1996 ASCD Yearbook,
ASCD, Alexandria, VA, 1996, 21.
“. . . students often say, “I have to get a B on the
final to pass this course.” But does that make
sense? If a final examination is truly
comprehensive and students’ scores accurately
reflect what they have learned, should a B level
of performance translate to a D for the course
grade?”
Guskey, Thomas R. (Editor), Communicating Student Learning: The 1996 ASCD Yearbook, ASCD,
Alexandria, VA, 1996, 21.
Copyright Carol Tomlinson 2009 16
In effective classrooms, one of the most
consistent practices of successful teachers
is the provision of multiple opportunities to learn.
The consequence for a student who
fails to meet a standard is not a low grade,
but rather the opportunity—indeed the
requirement—to resubmit his or
her work.
D. Reeves (2000, Dec.). Standards are not enough: Essential transformations for
school success. NASSP Bulletin, p. 11.
By emphasizing
more recent evidence we acknowledge
the impact of good teaching
on student success.
A Repair Kit for Grading by Ken O’Connor - Educational Testing Service - p. 108
Copyright Carol Tomlinson 2009 17
Grading later rather than earlier in a grading cycle would:
Address the need for strugglers to grow over time vs.
“getting it” the first time. Helps greatly with the
success to effort balance.
Encourage advanced learners to accept challenge with a sense
that they, too, are allowed to grow rather than being
perfect “right out of the gate.” Helps build
tolerance for challenge, taking intellectual risks,
and creativity—necessary for bright kids to
realize their potential.
How About…
Grading Later in a Cycle?
Eliminating Grade Fog (Including moving away from
“the Mean” and eliminating zeros)?
PROS
CONS
QUESTIONS
Some Possible Solutions
What About Report Cards?
Copyright Carol Tomlinson 2009 18
Principles of Effective Grading and
Reporting
Principle # 6
When it’s time for
report cards,
practice 3-P
grading.
School report cards are still hopelessly
narrow, containing little information about
student achievement and concealing more
than they reveal.”
Mike Schmoker (2002)
The Trouble With Report
Cards…
Achievement
on clearly
delineated
content goals
Habits of
mind and
work
Growth in
achievement
on clearly
delineated
content goals
Copyright Carol Tomlinson 2009 19
1. Attach an explanatory checklist with the 3 Ps
2. Talk with parents during conferences about
the 3 Ps.
3. Send an e-mail with a completed template
reporting on the 3 Ps.
4. Have students keep records of their 3 Ps and
write a summary to parents.
5. Work to change the report card.
In any case, talk with your students consistently about the 3 Ps, their importance
in student development, and their interrelationships. Give 3P feedback.
Copyright Carol Tomlinson 2009 20
Report Card examples
Report Card
Course Title Overall
Grade
Above
Grade
Level
At
Grade
Level
Below
Grade
Level
Math B+
Science A
US History C+
English A
PE A-
Chorus B-
French B
Current GPA 3.33
Report Card (Marzano, 2000)
Course Title Overall Academic Nonacademic
Alg II & Trig B+ C A
AP Physics A A B
US History C+ B C
Am Lit A A A
PE A- A B+
Chorus B- C A
Geography B B B
Current GPA 3.33 3.24 3.43
Copyright Carol Tomlinson 2009 21
Student________
A=Excellent Growth
B=Very Good Growth
C= Some Growth
D=Little Growth
F=No Observable Growth
1=Above Grade Level
2+At Grade Level
3=Below Grade Level
Language Arts A2
Math B2
Science A1
Social Studies A1
Art B3Requires Clear Goals that Continually Escalate for All Learners
Using Three-P grading would:
Help struggling learners develop and persist with productive
habits of mind and work because it is evident that those
habits of mind contribute to growth, acknowledgement,
and performance.
Necessitate that advanced learners accept challenge and develop
productive habits of mind and work in order to achieve
a full measure of success.
Help all students understand and accept responsibility for
their contribution to academic success—work
habits vs. heredity.
Clarifications, Elaborations, Comments
About 3-P Grading
About the Best-Practice Principles in General
About Whether the Principles Adequately
Address Questions Related to
Grading & Differentiation
Copyright Carol Tomlinson 2009 22
Too often, educational tests, grades, and report cards are treated by teachers as autopsies when they should be viewed as physicals.
(Reeves 2000, 10)