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Go to previous page IMPULSE: The Integrated Math Physics, Undergraduate Laboratory Science, and Engineering Program Go to next page

Learning Problems and Goals

A. Problems

The IMPULSE instructors pointed to three concerns that motivated them to consider making improvements in their engineering program:

  1. high attrition rate,

  2. weak student engagement, and

  3. poor student performance.

1. High Attrition Rate
In spite of university services like tutoring, withdrawal and failure rates were fairly high for students seeking to major in engineering at UMD. As in many other engineering programs, students were required to take several semesters of calculus, physics and chemistry as pre-requisites to the first engineering courses. In calculus courses at UMD, attrition rates were in the 40 percent range, while in chemistry courses they ranged up to 52 percent. High rates of attrition in these courses meant that many students left before being exposed to a single engineering course (see Figure 1)a. Their short experience with the pre-engineering curriculum left them bitter and discouraged about science and engineeringb.

A graphic of retention rates as entering classes progress through their academic careers.  The graphs covers from 1991 to 1997 and shows a precipitous drop between the 1st and 2nd years.  The drop in retention continues until the 4th year when it is between 35 and 50%.
Figure 1
Click here to see a larger version of this graph.

Of note, many of the students who left the engineering program had entered with high SAT scores--which are viewed as predictors of success in engineering programs (Figure 2). Moreover, these students did not switch to science majorsc. According to Nick Pendergrass (electrical engineering), the faculty who eventually developed IMPULSE were distressed that many faculty in the UMD College of Engineering--like those in many other engineering programs--viewed these high attrition rates as a sign of their rigor. The IMPULSE instructors, by contrast, did not believe that high attrition rates were simply a sign of the program's success and rigor. They felt compelled to investigate the reasons why students were dropping outd.

A graphic of SAT math scores versus Quality Points earned in the 1st year.  There doesn't seem to be a correlation between high SAT math scores and if the student earned a high number of quality points in their 1st year.  Students who dropped out had SAT scores comparable to those staying in the program.
Figure 2
Click here to see a larger version of this graph.

2. Weak Student Engagement
While retention was the primary challenge that motivated faculty to implement IMPULSE at UMD, they also identified student engagement as an impediment to an effective learning environmente. Many students' only motivation for taking the basic foundation courses was to fulfill requirements--a motivation that often led to disastrous performance on tests, even for the best-prepared studentsf. This lack of motivation occurred even when caring instructors tried using grades as an incentive to encourage participation and engagementg.

Nick Pendergrass described the problem in terms of students' complaints about the curriculum and, in particular, about the ways the pre-requisite, or foundation, science and math courses were taughth. Students, he explained, felt that these courses offered only a complex display of mathematics and science concepts and did not offer any linkages to applications. They saw no connection between the content of these courses and real life problems faced by engineers in the workplacei. Even an attempt by faculty in the Electrical Engineering Department to create a hands-on technology course was unsuccessful in addressing the problem.

In the past, science and engineering instructors taught basic concepts using simple canonical models, promising students that they would later recognize and experience their applicability and usefulness in the real world, if not during their university studies. For two reasons, this does not work well for most of today's students, according to Renate Crawford (physics). First, today's students firmly believe that the world in which they live is totally different from that described in physics and math courses. Second, they are much less inclined to take their instructors' word for it; they require tangible evidence that the concepts they are asked to learn--particularly in their prerequisite courses in physics and math--will be useful to them as engineers and also will relate meaningfully to their own experiencej.


3. Student Performance
A graphic of SAT math scores versus Quality Points earned in the 1st year.  There doesn't seem to be a correlation between high SAT math scores and if the student earned a high number of quality points in their 1st year.  Students who dropped out had SAT scores comparable to those staying in the program.

Weak student performance was another concern at UMD, particularly in physics and math courses where engineering students' motivation and interest were noticeably low, but also in the engineering courses. The poor performance of the engineering students was also evident in the physics Force Concept Inventory (FCI) test3. The FCI is a multiple-choice test designed to assess the understanding of basic concepts in Newtonian physics. Recently, it has become one of the popular methods for assessing the effectiveness of physics instruction. The UMD students scored at 20 in the percent gain figure on the FCI test, a score comparable to typical traditional courses, but significantly lower than classrooms that had implemented active learning. Renate Crawford, a physics instructor explained:

    This is why we are interested in active learning (pointing to the pink data points on Figure 3). We're right there...where you'd expect for the lecture courses-- the lecture courses have very little gain, about twenty percent. So, while we weren't any worse than anybody else, we were pretty pitiful. The gains achieved by students in these active learning courses are more significant.

Renate also related students' performance to an apparent lack of engagement (see "problem 2" above) that, in turn, she linked to the traditional lecture-based classroom. She remembered that, as a student herself,

    it can be incredibly boring, no matter how interesting the subject matter may be, to just sit there for 50 minutes or 90 minutes and just listen. And a lot of times it would happen that while you [as a student] are writing something down, the professor is talking about the next subject. So you never actively participated.

She recalled this when, as a professor herself, she began using lectures and observed that although her students wrote down her words, the meaning "didn't go through their brain."

Bob Kowalczyk (mathematics) saw that this kind of faculty dissatisfaction with student performance was a good reason to start considering other approaches: "Engineering had a pretty high dropout rate, and the students who made it through were doing okay, but not as well as we would expect. So this gave us a chance to look for other pedagogical techniques that could help us retain the students as well as do a better job teaching them."


B. Goals

The UMD instructors explained that, to address their concerns about student learningk, they settled on a set of key strategies that are supported by evidence from around the country and that they believed would enable them to:

  • understand the reasons for poor retention, so that they could change the critical problematic factors,

  • help students understand why the foundation courses are important to success in engineering majors and future engineering careers,

  • help students relate the foundation courses to their own current experiences, and

  • provide learning experiences that are engaging and active and that result in greater gains in student understanding.

Their key strategies were to design a learning environment that incorporates the following elements:

  • integration of math, physics and engineering,

  • technology that supports conceptual and skill-based learning,

  • application of principles to novel situations, and

  • collaborative learning

See Discussion 2, "Making the connections: A discussion of the key principles used in the IMPULSE program," for the instructors' reasons for choosing these strategies to achieve their goals for improving student learning."




a. Bob Kowalcyck (mathematics) explained, "The main issue for the College of Engineering was retention. I know that in the traditional program, at the end of the first semester, anywhere between 30% and 40% of the students wouldn't complete my calculus course. They'd either withdraw ahead of time or they'd fail the final. And then during the second semester, of those students who passed, you'd lose maybe another 30 percent or so. So there was a pretty high dropout rate."

b. Pointing to Figure 1, Nick Pendergrass explained, "This graph shows the attrition rate of engineering majors. And by the way, it doesn't matter whether you present these data as the percent who stay in engineering or as the percent who stay in science, engineering, and math. They weren't leaving to go to math. They weren't leaving to go to physics. They were leaving science. And that's a tragedy, when you get right down to it."

c. As Pendergrass explained, "Look at the blue dots [in Figure 2]. We were worried about that. We actually went back to find out if they just get lured away to another university before they started in the program here. No, they didn't. They actually enrolled here as students. They just flew out of the system before the end of the first semester---dropped everything, or got to the next semester and dropped everything. We were dismayed that there were people who were clearly capable--people in the lower right quadrant--who were simply dropping out. So this tells you, at least, in light of one measure, that we were not weeding out the least capable. And these data correlate with the typical complaints we got in exit interviews: `The course was boring and it was poorly taught. I couldn't figure out how to get through it. I couldn't connect with anybody.'"

d. Referring to the attrition rate, Pendergrass stated: "But our program, like many programs around the country, had become almost proud of this attrition. People could say, `See, it's a good program. Look how many people can't make it. We are doing our jobs. We are weeding out the chaff.' But I can show you another curve, a scatter-plot of SAT versus GPA. Or I can show you SAT Math versus cumulative quality points [see Figure 2]. And you get this snowstorm plot. You can see these dots where people dropped out of the program. And you look at their SAT scores, and find that many students with high SATs dropped out of the program. SATs are probably a fairly noisy measure of capability, but if somebody has done really well on the SAT, they should be capable of doing this program. So if they leave, what happened?"

e. Illustrating this point, Nick said that in pre-IMPULSE times, "We were doing the standard lecture and lab thing, with 80 students in a lecture hall. Half of them weren't there. That's very common [around the country]. When we started looking at ways to fix this attendance problem, we went to RPI, Texas A&M and Arizona State. At RPI, a physics professor looked at me and said that what they had seen was that half the students weren't coming to the lectures, and more than half weren't coming to the recitations and the labs. It was clear those who show up weren't particularly motivated. So what do you do?"

f. As Bob Kowalczyk (mathematics) explained, "I had students in my traditional classes with 700s on the math SATs. They were obviously very bright, but they had trouble, maybe, adjusting to college life. They start attending classes and then they say, `Oh, I had calculus in high school; I know all this stuff, why bother coming to class.' Before you know it, they were digging a big hole. They'd come to the first test and flunk the test. You try to wake them up, you bring them into your office, but it is too late."

g. Raymond Laoulache (mechanical engineering) commented: "One thing I've found also is that when you ask the students to read, even if you do a writing assessment test the next day, they don't necessarily read. They don't care about writing an assessment test, whether they get a grade of 0 or 4. So these are the real issues we deal with on a daily basis."

h. Pendergrass: "Students would come to my door to sign out of engineering. I'd say, `Well, gee, how come' They'd answer, `Well, I thought I was going to be an electrical engineer, but I'm in this physics course and if that's what electrical engineering is, I just don't want to do it.' Well, that's not electrical engineering, for heaven's sake. They go from DC and Ohm's Law to Schrodinger's wave equation a very short time. Students just weren't getting turned on to engineering." See also footnote d.

i. According to Nick, it was not that the content of these foundation courses was obsolete or inadequate for engineers per se; rather, it was that students often did not realize until much later that these courses were providing a fundamental part of their engineering knowledge base. "Students," he explained, "tended to just learn what they needed to get through the next exam; they didn't see the reasons why they needed to know the content," or bother to attend class on a regular basis. A junior in mechanical engineering, a member of the curriculum committee, commented that if only he had known he was really going to need calculus, he would have studied it better. Thus, a group of faculty decided that if they could motivate students to want to know the content, they would make better progress.

j. Renate Crawford explained: "In physics courses, you want students to be able to see the big picture. You don't want them to see physics as a bunch of formulas where you have to just plug numbers in... [Physics] is a whole picture and way of looking at the world that you have to get the students into. I mean, take the idea of building models...You build these very simplified pictures of the world. There's no friction, there's no air resistance and the cannon ball flies a perfect parabola and all that sort of thing. We have to get students to realize that it's not all baloney, that it's not the physics world and their world. Students say, "What answer do you want? I've read this. Do you want how things really are, or how they're supposed to work in physics?"...Students live in a world of friction. They don't live in this idealized world. If you're not careful, you can get the students to think that physics is a bunch of formulas that don't really apply to the real world and that they have to learn to get through this damn course in order to become engineers."

k. For a number of articles and books that provide evidence of the effectiveness of inquiry-based small-group learning, see the References.


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