Courseware for Remedial Mathematics:
A Case Study in the
Benefits and Costs of the
Mediated Learning System in the
California State University

 

Summary, Findings, and Conclusions

1.

Since 1994 California State University, Los Angeles (Cal State LA) and California Polytechnic State University, San Luis Obispo (Cal Poly) have been using the mediated learning system (MLS) courseware for remedial mathematics developed by Academic Systems Corporation. Both campuses have undertaken various evaluation studies.

2.

Academic Systems' courseware was chosen at the time because it was the most sophisticated multimedia program available. It is highly interactive and provides several layers of student feedback. The MLS comes with a management system that captures student responses to questions and records time on task, thus allowing the instructor to monitor each student's progress. (The MLS courseware that was implemented runs in on-campus computer labs. A new version of the courseware is now accessible through the Internet.)

3.

By 1996 six additional CSU campuses at Hayward, Long Beach, Northridge, Pomona, Sacramento, and San Francisco had also begun implementation of the MLS courseware.

Benefits: Comparative Learning Outcomes                      

4.

Cal Poly has adopted the MLS for all of its remedial mathematics courses. The courseware is available in a 60-station computer lab where the student work is overseen by graduate assistants under the direction of a faculty member.

5.

Cal State LA has adopted the MLS for the remedial coursework provided to the most mathematically challenged students. A three-year evaluation of the MLS at Cal State LA contains the following summary statements:

(a)

As a replacement for regular classroom instruction the MLS courseware has the most benefit for those students who need remediation the most, where they can take advantage of the flexibility to repeat a lesson as often as needed.

(b)

The MLS courseware is not superior for all remedial students nor is there any indication that it is inferior.

(c)

An instructor is still essential for the MLS version of the remedial courses both as a motivating influence and as a personal contact for the students.

(d)

From a resource perspective the MLS allows larger section sizes without a loss of student performance.

(e)

Other potential benefits include: more flexible use of student time compatible with more time on task, more instructional support outside of classroom time, completion of course on a shortened time schedule, more convenient and user friendly for ESL students, longer retention of the material, and availability of Internet access to MLS supporting distributed instruction to off-campus locations.

6.

An evaluation of learning outcomes in the remedial mathematics courses at the eight campuses was undertaken in fall 1996 at the request of the CSU Provosts/Vice Presidents for Academic Affairs. Over 4,500 students were enrolled in the courses; approximately 34 percent were enrolled in the MLS sections, 66 percent in regular classroom sections.

7.

The MLS courseware was employed differently across the campuses. In some cases the MLS was used to supplement the regular weekly scheduled course meetings, in others it was an integral part of the course in the sense that its use replaced some, but not all, of the regular class meetings; at some sites, the MLS was used to essentially replace the regular class meetings and become the principal mode of providing the instruction. For all campuses, even if the entire course was scheduled to be delivered using the courseware, instructors would still call groups of students out of the lab for short "chalk talks" on particular topics as the need arose.

8.

Two levels of remedial mathematics courses were evaluated, elementary and intermediate. Learning outcomes are measured by course passing rates and the percent of students completing the course with a final score of 70 or better. Comparisons of learning outcomes were made for the regular classroom (control) sections and the MLS (experimental) sections of the courses offered at each campus.

9.

The course passing rate in the elementary course favored the MLS sections over the classroom sections at all of the seven sites where control sections were offered. The difference was statistically significant at only one site.

10.

The percent of elementary level students with a final score of 70 or better was in favor of the MLS sections at four of the seven sites; one of these differences was statistically significant. Two of the three differences in favor of the classroom sections were statistically significant.

11.

The course passing rate at the intermediate level was in favor of the MLS at four of six sites; one of these differences was statistically significant. Of the two sites where the difference favored classroom sections, one was statistically significant.

12.

The percent of students with a final score of 70 or better at the intermediate level was in favor of the MLS sections at three of the six sites; none of the differences were statistically significant. Two of the three differences that favored the classroom sections were statistically significant.

13.

Based upon this evidence it is not possible to reach a definitive conclusion regarding the learning outcomes of MLS as compared to classroom instruction.

(a)

At Cal State LA there is evidence that MLS improves the passing rates for the most mathematically challenged students who can benefit from a substantial amount of drill and practice.

(b)

In the seven-campus study there is weak evidence that the MLS improves passing rates in the elementary courses, but there is no evidence that it improves passing rates in the intermediate course or that it increases the percentage of students receiving a final score of 70 or better at either level. To the extent MLS improves passing rates, and reduces drop out rates, campuses benefit by generating more FTE and related funding.

(c)

Other benefits that may accrue to MLS include providing students with an introduction to the use of the computer as a learning tool, a more user-friendly learning situation for ESL students, and the potential to deliver courses to off-campus sites.

Cost Comparisons                                              

14.

Certain basic patterns emerge from the comparison of the cost estimates for the two instructional modes:

(a)

At the lower levels of annual course enrollment, the costs of the MLS version of the course always exceed those of the classroom version. This occurs because of the fixed costs associated with the MLS course including the license fee and the costs of establishing and operating the initial MLS lab.

(b)

The incremental (or marginal) costs of additional enrollments in the MLS course tend to be less than those for the regular classroom course (assuming instructor pay rates for the different course sections are the same). This result occurs because the MLS fee revenue offsets some of the course's staffing cost. Incremental costs are also reduced to the extent average enrollment in the MLS sections is increased.

(c)

Once enrollment grows to the capacity of the MLS lab, an additional lab must be added causing a step-up in MLS costs.

15.

At the current levels of campus enrollments in remedial mathematics courses (ranging between 300 and 1,500 students per year), the estimated direct costs of the MLS course exceed the costs of offering the instruction to the same number of students in the classroom course. For the case where MLS and classroom sections sizes are both equal to 30, a cost model developed based upon "typical" campus data shows a crossover (or breakeven) enrollment for the MLS exceeding 2,500 students per year.

16.

However, because the marginal costs of the MLS course tend to be less than those of the classroom version, with sufficient levels of annual enrollment and the appropriate combination of cost and fee factors, the costs of MLS can be less than the costs of classroom instruction.

17.

The two CSU campuses with the longest experience with the MLS have demonstrated cost savings by increasing section size without an increase in faculty workload (because the MLS is the main source of instructional materials) and without a reduction in the quality of student learning outcomes.



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The report can also be downloaded/viewed in a pdf file, CSU_Study.pdf