MATHPATCH- A “JUST-IN-TIME” APPROACH TO TEACHING QUANTITATIVE SKILLS IN INTRODUCTORY COURSES
The course, formally titled Quantitative Geology has been nicknamed "Mathpatch," and runs in parallel with the introductory level course. Mathpatch teaches the quantitative skills that are required for the class right before they are needed. Thus, students learn only the skills they need and have a chance to apply them immediately afterwards. Topics covered include complex-graph reading, unit conversions, large numbers, scientific notation, scale and measurement, estimation, powers of 10, and other fundamental mathematical concepts used in basic geological concepts.
We are currently in the third quarter of a pilot project. The course to date has been highly successful. Retention in the geology course has been increased substantially, from 75% to >90% amongst students choosing to take the supplemental class. Students master the quantitative skills to a greater extent than previously, and less time in geology class is spent covering basic quantitative skills. An attitudinal study is being conducted presently to assess whether students have a more favorable response to mathematics as a result of this approach to teaching applied mathematics. In addition, the course, which is taught by mathematics faculty, has been effective in cross-fertilizing the curricula of both the mathematics and geology faculty.
In the future, we anticipate making the class a co-requisite that can be challenged by students entering the course with sufficient skills and perhaps expanding the project to other classes and disciplines.