Building Student Quantitative Skills in an Oceanography Course

Tuesday 1:30pm-4:00pm
Poster Session Part of Tuesday Poster Session

Author

Martin Farley, University of North Carolina at Pembroke
Oceanography (Geology 2260) at UNC-Pembroke is a largely hands-on course with significant quantitative and graphical activities. Activities presented here include Pythagorean Theorem for surface distance estimation, surface and internal wave celerity, and seiches in closed and open bodies of water. I find it productive to begin the course with an "Introduction to Science and Math" to introduce basic concepts including scientific notation, working with latitude/longitude (with minutes and seconds), and trig functions. Students learn the Pythagorean Theorem to estimate distance on the surface of the Earth from one point to another in nautical miles. While the Earth is not flat and longitude lines converge toward the poles, the Pythagorean Theorem still does a reasonable job of distance estimation at mid-latitudes and avoids spherical trigonometry. This can be used in conjunction with National Hurricane Center forecasts of tropical cyclone positions and wind speeds. Students calculate celerities of shallow and deep water waves and graph these to recognize how these celerities change with water depth, particularly as water depth decreases. This graph uses the square root of water depth so students understand that graph axes do not have to be linear. Students also calculate celerity of internal waves and compare these to surface waves. Seiches (standing waves) can snap mooring lines of boats and lead to larger impacts such as the resonance effects of high tidal ranges in various locations around the world. Students calculate seiche periods for Lake Waccamaw, largest of the Carolina Bays, and evaluate likelihood of these happening as an insurance risk. They then do the same calculation for the Bay of Fundy to compare to the period of the tidal cycle. These activities build student quantitative skills and show practical applications that they don't see in their math classes.