Transcript Slide 1

COMMON FINAL EXAMS
IN BEGINNING AND
INTERMEDIATE ALGEBRA
TO ADDRESS GRADING
VARIATIONS
Situation:
Many Mathematics classes
are sequential. Without
sufficient mastery of the
prerequisite course
material, student success
in the following Math
class plummets.
Problems:
Grading variation between
instructors of the same courses
results in:
1. Failure of students in next Math
class if instructor mastery standard
is too low.
2. A student equity issue if instructor
master level is too high.
To address the issue:
A common final exam was
instituted in Intermediate
Algebra in the Fall 2000
semester and in Beginning
Algebra in the Spring 2004
semester.
Caution:
Don’t try this at home!
A series of safeguards, logistical
coordination and broadband
avenues for input and output from
participating faculty must be
established so that faculty feel
their academic freedom is not
compromised.
Included but not limited to:
 Common final czars chosen
 Course topics approved by division
 Instructors submit questions on selected
topics
 Instructors allowed to supplement final
exam
 Instructors given percentage range to count
final exam
 Holistic grading evolution
 Instructors re-grade own exams
 Coordination of rooms for 1000 students
Included but not limited to:
continue
 Proctoring assignments
 Czars with some faculty not teaching the
course compose exam
 Old exams put online
 Conferences between division chair and
each faculty member teaching common final
class
 Results matrix by class
 SLO’s
 Item Analyses
 Faculty workshops – closing the loop
Intermediate Algebra Instructor Data Fall 2004
exam mean
49.83
mean GPA
exam st. dev
20.18
GPA st. dev.
COURSE
FT /PT
enrolled
on
census
received
grade
#
students
took
final
2.2216
1.12852
passed
exam
mean
course
GPA for
exam stds took course z
z score
final
score
pass rate
pass rate
for stds
course z per
that took
exam z success retention completed
final
1
101
FT1
41
28
22
14
64.591 3.431 course
2.182
-0.165
-3.596
2
101
FT2
48
39
28
59.417 2.811 GPA
2.625
2.115
-0.696
# 35
for
URS
exam
z
stds2.773
took course
z3 CO101
FT3 enrolled
26 received
24 students22
18 exam68.909
4.435
2.291z course
-2.144
E
FT/PT on census grade took final passed
mean
score
final
score
exam z
4
120
FT4
44
35
31
29
54.935 1.408 2.323
0.498
-0.910
1MEAN
101 FTFT1
41
64.591
-3.596
44.500 2833.500 2228.500 14 21.000
61.0873.431
2.978 2.182
2.481 -0.165
1 101
PT1
47
36
32
24
57.188
2.062
1.969
-1.267
-3.330
7 101
PT7
48
47
47
33
33.638
-5.501
2.298
0.463
5.964
1
101
PT1
47
36
32
24
57.188 2.062 1.969 -1.267
-3.330
8 101
PT8
42
36
30
23
36.967
-3.491
2.300
0.381
3.872
2
101
PT2
38
32
27
22
43.963 -1.511 2.185 -0.168
1.343
3
101
PT3
40
26
23
16
57.434 1.807 2.174 -0.203
-2.010
4
101
PT4
56
45
40
33
53.700 1.213 2.400
1.000
-0.213
5
101
PT5
45
39
35
24
55.370 1.624 2.229
0.037
-1.588
6
120
PT6
44
42
38
26
50.553 0.221 2.079 -0.779
-1.000
7
101
PT7
48
47
47
33
33.638 -5.501 2.298
0.463
5.964
8
101
PT8
42
36
30
23
36.967 -3.491 2.300
0.381
3.872
9
101
PT9
53
47
39
26
43.000 -2.114 2.128 -0.517
1.597
10
120
PT10
40
31
31
22
46.433 -0.937 1.967 -1.258
-0.321
11
101
PT11
40
32
28
11
48.536 -0.339 1.607 -2.881
-2.542
12
101
PT12
42
39
37
30
47.270 -0.772 2.405
0.991
1.762
13
101
PT13
43
27
24
16
47.625 -0.535 2.042 -0.781
-0.246
14
101
PT14
41
32
28
25
52.214 0.625 2.042 -0.844
-1.469
15
101
PT15
43
36
33
27
48.030 -0.512 2.152
-0.357
0.156
16
120
PT16
45
37
31
26
45.613 -1.163 2.226
0.021
1.184
MEAN PT
44.188 36.500 32.688
24
47.540 -0.649 2.153
total
866
710
633
473
49.831
2.222
0.341 0.683
0.500
0.583 0.813 pass
0.718
rate
per
0.692 retentio
0.923
0.750
success
n
completed
0.659 0.795
0.829
0.341
0.683
0.500
0.560 0.792
0.706
0.511
0.766
0.667
0.688
0.979
0.702
0.511 0.766
0.667
0.548
0.857
0.639
0.579 0.842
0.688
0.400 0.650
0.615
0.589 0.804
0.733
0.533 0.867
0.615
0.591 0.955
0.619
0.688 0.979
0.702
0.548 0.857
0.639
0.491 0.887
0.553
0.550 0.775
0.710
0.275 0.800
0.344
0.714 0.929
0.769
0.372 0.628
0.593
0.610 0.780
0.781
0.628 0.837
0.750
0.578 0.822
0.703
0.535 0.826
0.658
0.546 0.820
0.666
0.636
pass
rate
0.800
for
stds
that
took
0.818
final
0.935
0.636
0.809
0.750
0.702
0.750
0.767
0.815
0.696
0.825
0.686
0.684
0.702
0.767
0.667
0.710
0.393
0.811
0.667
0.893
0.818
0.839
0.734
0.747
Intermediate Algebra Instructor Data Spring 2007
8.56612
exam st. dev 5.53904
mean GPA
GPA st. dev.
exam mean
COURSE
FT /PT
enrolled
on
census
2.231405
1.107178
received # students
grade
took final
passed
exam
mean
pass
course GPA
rate
exam z for stds took course course z retenti
per
score
final
z score exam z success
on
compl
pass
rate
for
stds
1
2
3
4
120
101
120
101
MEAN FT
FT
FT
FT
FT
38
32
39
36
36.25
26
27
35
33
30.25
22
20
34
28
26
17
13
26
22
19.5
7.818
10.900
8.000
7.464
8.375
-0.633
1.884
-0.596
-1.053
-0.176
2.182
2.350
2.059
2.286
2.202
-0.210 0.423
0.479 -1.405
-0.909 -0.313
0.260 1.312
0.447
0.406
0.667
0.611
0.538
0.684
0.844
0.897
0.917
0.834
0.654
0.481
0.743
0.667
0.645
0.773
0.650
0.765
0.786
0.750
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
120
101
101
120
101
101
101
101
101
101
101
101
101
101
101
101
101
MEAN PT
total
PT
PT
PT
PT
PT
PT
PT
PT
PT
PT
PT
PT
PT
PT
PT
PT
PT
41
35
45
19
46
41
26
39
52
34
43
38
43
37
36
28
28
37.118
776
32
22
28
13
38
29
20
23
39
31
35
21
35
31
27
12
21
26.882
578
29
21
21
10
33
23
18
23
28
23
31
17
30
22
24
8
19
22.353
484
23
16
15
8
26
19
17
19
21
21
22
9
23
18
21
4
13
17.353
373
11.414
8.524
7.381
6.400
7.818
8.435
12.111
7.913
6.893
5.174
7.355
9.412
11.633
10.636
11.625
4.375
5.105
8.618
2.769
-0.035
-0.981
-1.237
-0.776
-0.114
2.715
-0.565
-1.598
-2.937
-1.218
0.629
3.033
1.753
2.705
-2.140
-2.723
0.045
2.241
2.190
2.238
2.300
2.455
2.435
2.556
2.348
1.964
2.174
2.161
1.706
2.367
2.455
2.458
1.375
1.947
2.239
0.049
-0.169
0.028
0.196
1.158
0.881
1.242
0.504
-1.277
-0.249
-0.353
-1.957
0.669
0.945
1.004
-2.188
-1.118
0.561
0.457
0.333
0.421
0.565
0.463
0.654
0.487
0.404
0.618
0.512
0.237
0.535
0.486
0.583
0.143
0.464
0.468
0.481
0.780
0.629
0.622
0.684
0.826
0.707
0.769
0.590
0.750
0.912
0.814
0.553
0.814
0.838
0.750
0.429
0.750
0.724
0.745
0.719
0.727
0.536
0.615
0.684
0.655
0.850
0.826
0.538
0.677
0.629
0.429
0.657
0.581
0.778
0.333
0.619
0.646
0.645
0.793
0.762
0.714
0.800
0.788
0.826
0.944
0.826
0.750
0.913
0.710
0.529
0.767
0.818
0.875
0.500
0.684
0.776
0.771
-2.720
-0.134
1.008
1.433
1.933
0.995
-1.473
1.070
0.322
2.688
0.865
-2.587
-2.364
-0.808
-1.701
-0.048
1.605
Variability Comparison Fall 2004/Spring 2007
Fall
2004
Spring
2007
FT /PT
course z exam z
course z exam z
FT1
FT2
FT3
FT4
-3.596
-0.696
-2.144
-0.910
0.423
-1.405
-0.313
1.312
PT1
PT2
PT3
-3.330
1.343
-2.010
-0.213
-1.588
-1.000
5.964
3.872
1.597
-0.321
-2.542
1.762
-0.246
-1.469
0.156
1.184
-2.720
-0.134
1.008
1.433
1.933
0.995
-1.473
1.070
0.322
2.688
0.865
-2.587
-2.364
-0.808
-1.701
-0.048
1.605
PT 4
PT5
PT6
PT7
PT8
PT 9
PT10
PT11
PT12
PT13
PT14
PT15
PT16
PT17
Intermediate Algebra Item Analysis Fall 2004
gray
white
Version A Version B
1
1
Absolute value inequality
2
2
Equation of a line
3
5
Quadratic Equation
4
6
3x3 Matrix/Cramer's Rule
5
3
Quadratic Inequality
6
4
Inverse Function
7
9
Composition of functions
8
10
Ellipse in standard form
9
13
Negative Exponents
10
14
Rational Quotient
11
7
Mixture Word Problem
12
8
4th degree equation
13
11
Solve quadratic system algebraically
14
12
Difference Quotient
15
15
Graph system of equations
16
16
Rational Equation
17
24
Graph "special" Parabola
18
25
Arithmetic Sequence
19
17
Factor a cubic
20
18
Compounded Interest word problem
21
19
Binomial Expansion
22
20
Graph Hyperbola
23
21
Log Equation
24
22
Graph Log
25
23
Radical Equation
gray
white
Version A Version B
11
7
21
19
Mixture Word Problem
Binomial Expansion
Full Time
Part Time
Mean St. Dev. Mean St. Dev.
2.9
1.4
2.5
1.4
1.8
1.9
1.6
1.8
2.8
1.5
2.1
1.5
3.0
1.2
2.4
1.4
2.7
1.3
2.4
1.3
1.7
1.6
1.5
1.5
2.8
1.7
2.0
1.9
1.8
1.3
1.4
1.3
2.7
1.3
2.3
1.5
2.9
1.4
2.5
1.4
2.0
1.9
1.3
1.7
2.6
1.4
1.9
1.5
1.9
1.5
1.6
1.3
2.5
1.8
1.3
1.7
2.9
1.3
2.1
1.5
2.2
1.5
2.0
1.4
1.7
1.9
1.0
1.5
2.8
1.7
2.3
1.8
3.2
1.2
2.9
1.5
1.6
1.5
1.2
1.4
1.8
1.6
1.2
1.4
2.9
1.4
2.3
1.5
2.2
1.6
1.8
1.6
2.3
1.8
1.8
1.8
2.3
1.6
1.8
1.6
Overall
Mean St. Dev.
2.6
1.4
1.6
1.8
2.3
1.5
2.5
1.4
2.5
1.3
1.5
1.5
2.1
1.9
1.5
1.3
2.4
1.5
2.6
1.4
1.5
1.8
2.1
1.5
1.6
1.3
1.6
1.8
2.3
1.5
2.0
1.4
1.2
1.6
2.4
1.8
2.9
1.4
1.3
1.4
1.3
1.5
2.4
1.5
1.9
1.6
1.9
1.8
1.9
1.6
Full Time
Part Time
Overall
Mean St. Dev. Mean St. Dev. Mean St. Dev.
2.0
1.9
1.3
1.7
1.5
1.8
1.8
1.6
1.2
1.4
1.3
1.5
Thank you
Contact Information
Peter Stathis, Chair
Division of Mathematics
Glendale College
[email protected]
(818) 240-1000 x 5658
All information can be found online:
www.glendale.edu
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