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This presentation was developed for the
exclusive use of students enrolled in:

             Educational Testing & Grading,
               Professor Gregory E. Stone.




© 2004 Gregory E. Stone. All rights reserved. This presentation may not be
reproduced in any form, in part or as a whole, without the express written permission
of the author.
Grading 101

 How you grade and report to your
students is as important as how you 
             assess them.
Over Simplistic

91 ­ 100 = A   What does 
81 ­ 90 = B
               earning an
71 ­ 80 = C
61 ­ 70 = D     “A” really
Under 61 = F      mean?
Student         Learning
Assessment
                Objectives


                 Content
A, B, C . . .       &
                Difficulty
Suppose a teacher gave 3 different 
exams covering the same content to 
     three different students




Easy        Moderate    Difficult
Exam        Exam        Exam
Suppose each student scored 50%




Easy      Moderate    Difficult
Exam      Exam        Exam


50%         50%        50%
Easy      Moderate    Difficult
Exam      Exam        Exam


50%         50%        50%
  How can this be reasonable?
Grading without reference 
to content and difficulty is 
 necessarily arbitrary and 
        capricious.
While most schools mandate 
 a specific grade reporting 
    format, teachers have 
   flexibility in their own 
         classrooms.
Let’s begin by discussing 
what grades aren’t.
 > Life encompassing
 > Pejorative
 > Inclusive of all 
    characteristics
Instead, we must think of
grades as unidimensional


 1   2     3   4   5    6   7




         Like a ruler
Rulers can measure length.
  Rulers can measure width.
We can use those measurements 
        to assess area.

  1   2   3    4   5   6   7



 How can we use this ruler to 
      measure color?
 Or combine color and area?
Grades are rulers of a sort, 
designed to represent mastery of 
a given subject, area or behavior


    1       2         3   4    5   6   7




                          B+
English Report Card
B+
      English Report Card




Basic Grading Rule:

If the grade is for an academic 
subject, the grade must reflect 
only academic performance!
B+
      English Report Card




Many of us want to include other 
pieces in our grades, like:

Johnny tries really hard
Sally is very well behaved
English Report Card     When grades mix 
                        behavior, academics & 
          B+            effort, we can’t really 
                        understand any of the 
 English proficiency   three charateristics!  
 Class behavior
                        How can we make 
 Student effort        decisions on this basis?
Elementary schools          Elementary School
generally report grades        Report Card

effectively ­ in a         Language Arts     S
manner allowing for        Effort            E
maximum                    Behavior         S+
understanding of            Jimmy tries very hard
student performance on      but needs to pay more
                            attention in class.
all desired levels.              Ms. Allison
Secondary schools do            High School
not often allow for this        Report Card

detail ­ and many           English           A
teachers include this       Math              B
“other” information                       B+

                         !
                            Science
within the academic 
grade.  
                N      G
      R       O
    W
Confused grading is a leading cause of
discounting teacher grades!
When schools limit expression 
  of grades ­ teachers must 
   become more creative!  
         ­ letters, notes & phone 
           calls home

         ­ approach administrators 
           to create better, more 
           inclusive reports
English               Sally needs help with subject-verb
                      agreement. Try practice with
Learning Objective 1 ____________________
                      exercise 12 in the english text.



Learning Objective 2 ____________________
                      Wow! Sally is so advanced - she
                      should be encouraged to read
Learning Objective 3 ____________________
                      more difficult texts.

.
.
Learning Objective X ____________________


                                                Example
In your classroom: 
   Practice good grading  


  Don’t ignore content & difficulty

    Don’t be rigid and arbitrary

Don’t give a student a grade without 
  helping them USE the grade to 
       improve their mastery.
Difficulty can be
Addressed with simple weighting  

                            Sally       Jenny
      Easy Item        A
                    1. __                
                       B                 
      Easy Item     2. __
                       B
  Moderate Item     3. __                
                        C
  Moderate Item     4. __
                       A                 
   Difficult Item   5. __
                       D                 
   Difficult Item   6. __                
                            ______     _______

 UNWEIGHTED                 66%    66%
Difficulty can be
   Addressed with simple weighting  

                                  Sally       Jenny
  10%       Easy Item        A
                          1. __                
                             B                 
  10%       Easy Item     2. __
                             B
17.5%   Moderate Item     3. __                
                              C
17.5%   Moderate Item     4. __
                             A                 
22.5%    Difficult Item   5. __
                             D                 
22.5%    Difficult Item   6. __                
                                  ______     _______

           WEIGHTED               55%    80%
Importance can also be
  Addressed with simple weighting  

                                  Sally       Jenny
   Low Importance Item
                             A
                          1. __                
                             B                 
   Low Importance Item    2. __
                             B
Average Importance Item   3. __                
                              C
Average Importance Item   4. __
                             A                 
  High Importance Item    5. __
                             D                 
  High Importance Item    6. __                
                                  ______     _______

         WEIGHTED                 55%    80%
Robert Ebel developed a model for 
setting standards using a 3x3 grid  

                     DIFFICULTY
                     Easy    Moderate   Difficult
 IMPORTANCE




              Low    3 pts   4 pts      5 pts
              Mod    4 pts   5 pts      6 pts

              High   5 pts   6 pts      7 pts
By including content & difficulty
  in your grading process you are
             creating 
    CRITERION­REFERENCED
              grades.  



 Criterion-referenced grades are the
only grades that are fair and equitable
            to all students.
Criterion­Referencing:  
Based upon mastery or performance on a
selected set of content (i.e. how well did
Johnny do in English?)


Normative­Referencing:  
Based upon the distribution of scores and
the “normal distribution” (i.e. how well
did Johnny do compared to Jimmy?)
Criterion­Referencing:                 Simple Math

 We suppose that academic
 subjects run along a continuum -
 from easier to more difficult, from   ÷
 unimportant to very important.

 Criterion referencing helps us        x
 understand what specific content
 the student has mastered.

 For example ----------------
                                        -
                                       +
Criterion­Referencing:                 Simple Math

 We suppose that academic                   Not Mastered
 subjects run along a continuum -
 from easier to more difficult, from   ÷
 unimportant to very important.

 Criterion referencing helps us        x
 understand what specific content
 the student has mastered.

 For example
                                        -      Mastered


                                       +
Norm­Referencing:  
 Grading without reference to
 content - instead scores are
 determined based on the group of
 students who take the exam.

 THE NORMAL DISTRIBUTION
THE NORMAL DISTRIBUTION
                                         The student score is 0.5
                                      standard deviations above
                             Mean
                       68%                             the mean.


               96%


         99%




    -3         -2     -1                  +1      +2       +3
                     Standard Deviation Units
Norm­Referencing:  
 We’ll learn more about the Normal distribution when we
 discuss Standardized Test scores.


 Such statistical schemes are seldom used in the classroom
 … but there is one very popular form of norming used in
 classrooms all over.

 Can you name it?
Norm­Referencing:  




“If the highest score on the exam is 95%, then I’ll make that the
top score (100%) by adding 5 to everyone’s score”

We generally hate the person who gets the top score for
“throwing off the curve!”

Curving is UNFAIR, UNREASONABLE
       and UNACCEPTABLE!
The special concerns with 
   Special Education  

       I.E.P.’s often require teachers 
       to offer Special Education 
       students special tests and 
       special grading schemes.

       What’s wrong with this plan?
The special concerns with 
      Special Education  
Via integration (mainstreaming) special education 
students and “regular” education students are in 
the same classroom but are measured to different 
standards.

       Report Card              Report Card

       English   A              English   A



     Special Ed Student    Non-Special Ed Student
Report Card             Report Card

 English   A              English   A



Special Ed Student   Non-Special Ed Student


                             Subjects
                              Verbs
                            Adjectives
                             Adverbs
                     Subject-Verb Agreement
                        Simple sentences
                           Paragraphs
Report Card             Report Card

  English      A           English   A



 Special Ed Student   Non-Special Ed Student


    Subjects                  Subjects
                               Verbs
   Adjectives                Adjectives
                              Adverbs
                      Subject-Verb Agreement
Simple sentences         Simple sentences
                            Paragraphs
Non­standard grades =
   Useless grades  

     How could a college or 
     anyone else make use or 
     sense of grades that mean 
     something different even 
     within the same classroom?
3 Major Problems leading to the 
devaluation of teacher grades:  
Inclusion of non-academic information in
            academic grades

  Unfair normative (curving) practices

 Non-standard grading within the same
             classroom

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