Department of Mathematics November 14, 2001 Mathematics Department Assessment Report, Fall 2001 This report summarizes the assessment efforts in the mathematics department and actions that have been taken in response to the assessments over the past year. The 1996 mathematics department assessment plan includes ten objectives, and the body of this report has been structured around these ten objectives. 1. All members of the departmental teaching staff will demonstrate good teaching, including exploring the use of new approaches. Faculty in the mathematics department have continued to receive outstanding student evaluations. The average for the 2000-2001 academic year was 4.4 on the 5 point scale. Individual averages ranged from 4.2 to 4.7. This clearly exceeds our stated goal of 4.0. During the past year, Bill Stone was active in starting a supplemental instruction (SI) program for Math 103. We are continuing this program during the 2001-2002 academic year and we are hoping to see definite signs of improvement in the performance of students in the Math 103 course. Bill Stone was recently awarded the 2001 distinguished teaching award of the Southwestern Section of the Mathematical Association of America. 2. Student entering the calculus sequence will have adequate preparation. As in previous years, we have monitored the performance of students in Math 103/104 precalculus courses and Math 131 calculus I. Note that these statistics have changed slightly because of the switch from our old student information system to the new Banner/SCT system. Students who started in Math 131 in the fall: Year 95-96 96-97 97-98 98-99 # of students 74 95 87 85 # passing in fall 66 (89%) 86 (91%) 74 (85%) 74 (87%) # passing in spring % by year end 1 91% 3 94% 8 94% 7 95% 801 Leroy Place Socorro, NM 87801 (505) 835-5393 telephone (505) 835-5366 fax http://www.nmt.edu/~math/ 99-00 00-01 97 121 78 (80%) 91 (75%) 8 8 89% 82% An unusually large number of students started in Math 131 in the fall of 2000. Unfortunately, the pass rate for these students was down from previous years. After discussion with the Math 131 instructors, it appears that most of the students who were failing calculus simply weren't attending class, turning in homework, and taking quizzes and exams. This points to a serious motivation problem. A second issue was that some students were still getting in to Math 131 despite poor algebra and trig skills. In some cases, this happens when students transfer credits from community colleges. In other cases, this happens when students just barely pass the placement test or precalculus courses. We will carefully monitor this situation during the next year. If the pass rate in calculus does not improve, we will consider options such as raising the required placement test score and raising standards in the precalculus courses. Next, we consider students who began in Math 103 and/or Math 104. Year 95-96 96-97 97-98 98-99 99-00 00-01 # of students 76 59 62 75 98 92 # pass 103/104 57 (75%) 49 (83%) 41 (66%) 52 (69%) 73 (74%) 67 (73%) # took 131-S 53 (93%) 44 (90%) 36 (88%) 43 (83%) 64 (88%) 47 (70%) # pass 131-S 34 (64%) 24 (55%) 23 (64%) 35 (81%) 48 (75%) 35 (74%) % by year end 45% 41% 37% 47% 49% 38% The pass rates in 103/104 and among students who took 131 after passing 103/104 are about the same as last year. There's no evidence here that the first year of the SI program had a large positive or negative impact. However, we will continue to monitor this situation to see whether the SI program is in fact helping students. The percentage of students who passed 103/104 and then did not go on to take calculus is way up. It appears that some of this was caused by advisors telling students to take Math 103 in the fall followed by Math 104 in the spring. Another issue is that a number of these students were not intending to complete a BS degree at NMT- they were either working towards an associates degree or planning to transfer to some other university. 3. Students at the end of first year calculus will have a working understanding of one dimensional calculus. A committee of math department faculty met to review the performance of students on the Math 131 and Math 132 final exams. The committee referred to the goals and specific learning objectives for the calculus course that have been adopted by the mathematics department. 801 Leroy Place Socorro, NM 87801 (505) 835-5393 telephone (505) 835-5366 fax http://www.nmt.edu/~math/ The consensus of the committee was that the content of the exams has been stable over the last six years, with the content closely matching the stated course objectives. Among students who earned grades of C or above on the final exam, the performance was considered adequate, with some students doing very well. The performance of students who failed the exams was not adequate. One common problem was a lack of skill in algebra and trigonometry. The mathematics department will continue to monitor the performance of students on the Math 131/132 final exams. If problems with algebra and trig are common, we may need to reevaluate the placement test cutoff and the grading of the Math 103/104 courses. 4. Our service courses will meet the needs of students in other departments while maintaining mathematical content. Faculty in the mathematics department have worked with faculty from other departments to help coordinate our service courses with other departments requirements. For example, representatives of the mathematics department recently met with representatives of the electrical engineering department to discuss the content of the calculus sequence. We expect to continue this series of meetings during the 2001-2002 academic year and broaden the discussion to include other academic departments. 5. Our bachelor's degree students will understand the material from their junior level core courses. The mathematics department faculty met in the spring of 2001 to discuss the May 2001 graduates. There was consensus that all of the graduates have a generally adequate command of the material in the junior level core courses. 6. Our BS graduates will be prepared for success in their postgraduate academic and professional careers. There were fourteen BS graduates in mathematics in May of 2001. Of these fourteen students, eight went to graduate school, three went on to work in industry, and one was still looking for employment. We have no information on the other two graduates. We are pleased that so many of our BS graduates have gone on to graduate school. Because of the relative lack of job opportunities for graduates with BS degrees in mathematics and the much better opportunities for graduates at the MS level, we have initiated a new five-year BS/MS program. 7. Our MS graduates will be able to understand and communicate significant mathematical ideas, and will have the preparation for successful careers. There were 4 MS graduates between May 2000 and May 2001. Each of these students gave a public presentation of their thesis or independent study project. The mathematics faculty has been generally satisfied with the quality of these projects and presentations. The professional 801 Leroy Place Socorro, NM 87801 (505) 835-5393 telephone (505) 835-5366 fax http://www.nmt.edu/~math/ development seminar (Math 501/502) seems to have been effective in preparing students to write and present their theses. Three of these four graduates have gone on to careers in industry. Our MS graduates who have gone on to industry have typically gotten starting salaries of $50,000 to $60,000 per year. These graduates are clearly well prepared for industrial careers. 8. Each member of the departmental faculty will develop a program of research and scholarly activity. Graduate student research advisors will be active in research or other scholarly activity. Faculty in the mathematics department have continued to be active in research. Eight of the ten tenured/tenure track faculty have published within the last year. Three faculty members have worked on externally funded research projects within the past year. All of the faculty who are currently supervising graduate students are active in research. 9. We will communicate our research program to others in the department. The mathematics department has continued to run a regular weekly series of seminars which are attended by the faculty and graduate students. In the fall, faculty give presentations on their interests. In the spring, first and second year graduate students give presentations on their research projects. We fill out the schedule with additional speakers from other departments on campus and other universities in New Mexico. Nine of the ten faculty members will give talks during the fall of 2001. 10. The department will contribute to the Institute and the profession. During the 2000-2001 academic year, seven of the eight faculty in the department served on faculty council or senate committees within the institution. Department faculty were heavily involved in the recruiting of two new faculty members. One faculty member was elected chair of the faculty council. Two of the faculty in the department hold editorial positions for professional journals. One faculty member was recently elected to the board of a national society. 801 Leroy Place Socorro, NM 87801 (505) 835-5393 telephone (505) 835-5366 fax http://www.nmt.edu/~math/