The Commerce of Utility: Teaching Mathematical Geography in Early Modern England

The teaching and learning of geographical and mathematical knowledge in early modern England was a complex interaction among scholars, practitioners, merchants, and gentry. Each group had different values and goals associated with geographical knowledge and therefore different educational venues and different topics to be investigated. This paper argues that the alternate educational sites of the universities of Oxford and Cambridge and the more entrepreneurial site of London and the merchant halls were both important to the development of geographical knowledge and produced an important synergy of practical and esoteric interests and concerns.     

The Construct and Concurrent Validity of a 12-Minute Crawl Stroke Swim as a Field Test of Swimming Endurance

This study investigated the construct and concurrent validity of a 12-minute crawl stroke swim as a field test of swimming endurance. A sample of 42 male college students who ranged from certified life savers to competitive swimmers were administered three tests. The first, a multistage swimming endurance test, required that a tethered subject swim to exhaustion under a linear progressive increase in workload. The second measure was the crawl stroke count for two lengths of a 25-yard pool. The third test was a 12-minute crawl stroke swim for distance with total distance and distance covered each minute recorded for each subject. Alpha factor analysis of the 12 minute intervals of the crawl stroke swim produced one factor which demonstrated that swimming performance was internally consistent during the 12-minute swim. There was a correlation of .898 (p < .01) between the 12-minute swim and the tethered swim test. Cross validity procedures demonstrated a high degree of stability for the correlation between the 12-minute swim and the tethered swim and for resulting regression statistics. The construct validity was established for both the multistage test and the 12-minute swim using the known groups approach. On the basis of the data the 12-minute swim is a valid field test for swimming endurance for the population studied.