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Mathematics
Assessment Report

2000-2002

 

Assessment data from this period includes faculty ratings of student performances in capstone courses as these relate to the department’s goals and a report on student scores on the E.T.S. Major Field Test required of all senior majors.

Summary of the Results
Faculty rated student achievement towards learning outcomes to be good or excellent in each area. The ratings for each year are similar to each other and are slightly higher than those of the previous biennium. The scores for this biennium are included later in this report.

We are very satisfied with the scores on the ETS Major Field Exams. The percentile ranking on overall scores for our students was 65 in 2000-2001 and rose to an impressive 80 in 2001-2002. We were surprised by a percentile ranking of 79% in calculus for the year 2001-2002, since our rankings in the previous three years were 31, 35 and 38. Because of our consistently low calculus scores, we made curricula changes, but these were not implemented until Fall, 2002. Hence they were not responsible for the improvement. While it is possible our knowledge of the low scores may have affected our teaching, we really believe the change has more to do with the small number of our students being tested and the resulting high variability of the averages.

Curricular Changes Resulting from Assessment
Due to the low percentile rating rankings of our students on the calculus portion of the ETS Major Field Exam during years 1998-2001, we analyzed the calculus sequence. During the last several years we inserted a technology component into these courses, and these courses already had overloaded syllabi. As a result, classical discussions of some notions were rushed. Furthermore, while students used software to solve calculus problems, there was precious little time to use the technology to help students understand calculus principles and theory. It was felt that removing the technology portion from the regular calculus sequence and treating it as a separate course would improve both topics. In the new course, Computer Calculus, there will be time to use software to help students understand calculus concepts as well as using it to solve problems involving considerable calculations. The course was first taught by our department Fall, 2002.

Assessment Plan Revision
We have added an Institutional Effectiveness Goal to our current plan and a copy of the new plan is attached to this report. While we have found our current plan useful, we have a committee studying ways to make it more effective. We hope to submit a new plan during the calendar year 2003.


CAPSTONE RATING

2000-2001
A rating sheet is used by the faculty teaching capstone courses to evaluate each student’s performance in those courses with respect to the learning outcomes listed. The capstone courses surveyed in academic year 2000-2001 were Math 361, 476, 450 and 416.

The following are summary data for this time period. Mean ratings with standard deviations are listed for each outcome.  Herein 8 =  24 and the scale used is shown below. We also note that some students took more than one capstone course.  

 

 

very poor adequate excellent
1               2                3   4               5                6 7               8                 9

                                        

MEAN Standard Deviation Learning Outcomes  
6.79  1.26 Applies rigorous analytical thought to mathematical problems and issues.  
7.04 1.15 Communicates ideas in a precise manner.
6.66 1.28 Understands the breadth of the mathematical sciences.
6.58  1.32  Understands the deep interconnecting principles of the mathematical sciences.  
6.80 1.25 Able to solve multi-step problems.  
7.04 1.21 Able to perform complex tasks.  
7.16 1.11 Able to detect basic mathematical structures (patterns).  
6.92 1.15 Able to generalize from basic mathematical structures.


2001-2002

CAPSTONE COURSE RATINGS

This year the capstone courses included in these ratings were Math 361, 416, 435 and 476.  The following is summary data for these courses.  Herein 8 =  27 and the scale used as well as the Learning Outcomes are listed below.  We note that some students were enrolled in more than one capstone course for this survey.

very poor adequate excellent
1               2                3 4                5                 6 7               8                 9

                           

MEAN Standard Deviation Learning Outcomes
6.57 2.04  Applies rigorous analytical thought to mathematical problems and issues.   
6.57 1.82 Communicates ideas in a precise manner.
6.71 1.77 Understands the breadth of the mathematical sciences.  
  6.91 1.56  Understands the deep interconnecting principles of the mathematical sciences.  
7.29 1.75 Able to solve multi-step problems.
7.39 1.59 Able to perform complex tasks.  
7.04 1.88 Able to detect basic mathematical structures (patterns).
6.71 2.00 Able to generalize from basic mathematical structures.  

ETS Major Field Percentile Rankings

2000-2001

The spring 2001 E.T.S. examination provided data for ranking of the test group (8  =  9) as is shown by the following percentiles.

OVERALL: 65
CALCULUS:  38
ALGEBRA (LINEAR AND ABSTRACT):  75  
ROUTINE: 43  
NONROUTINE: 87
APPLIED: 64

                                         

NOTES:

(1) One student essentially scored zero in this test.  We conjecture that some error in scoring occurred since the student involved is very capable.  If that score is removed from the group, the overall ranking rises above the 80th percentile.

(2)  The highest ranking individual scored at the 90th percentile.  
(3)  The fall semester student group was too small to generate group rankings.  

 

 

2001-2002

Data from the E.T.S. Major Field Test
Have 8  =  8 for the test group.  The percentiles were as follows:

OVERALL: 80  
CALCULUS: 79
ALGEBRA (LINEAR AND ABSTRACT): 82
ROUTINE: 77
NONROUTINE: 82  
APPLIED: 78

                             Note:  Three students scored in the 90th percentile in the overall ranking.

 


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