Publication Date
11-21-1938
Abstract
In summary, it should be stressed that the numerous examples of this paper are important only in so much as they illustrate the use of the devices and concepts emphasized in the study. It is our premise that plane geometry, as usually taught, does not possess the value which it might have. Certain changes in content as well as in presentation would materially improve the course. This study, then, presents suggestions for improving the ordinary course in two directions. First, by presenting logical propositions from the students' experiences which are partially isomorphic to the theorems of plane geometry, it is believed that the student will appreciate and better be able to use the principles of deductive logic. Secondly, by placing considerable emphasis upon the concept of variation, the student will gain a greater knowledge of mathematical method and its relation to procedures of empirical science.
Degree Name
Mathematics
Level of Degree
Masters
Department Name
Mathematics & Statistics
First Committee Member (Chair)
Carroll Vincent Newsom
Second Committee Member
Harold Daniel Larsen
Third Committee Member
J.M. Siefeudorf
Language
English
Document Type
Thesis
Recommended Citation
Mock, Ralph. "Some Applications of the Principles of Isomorphism and Variation to the Teaching of Geometry." (1938). https://digitalrepository.unm.edu/math_etds/111
