PROCEEDINGS OF THE 21ST ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2018
San Diego, California
Content Analysis of Introductory Textbooks in Point-Set TopologySetTopology
Page: 1706
This study compared twelve point-set topology textbooks at the introductory level. The goal was to differentiate each textbook according to its overall conceptual approach to the field, as well as its mathematical approach to four fundamental topological ideas. The analysis indicated significant differences in the conceptual and mathematical presentation of those topics among the twelve textbooks. These findings highlight the need for researchers to distinguish between the conceptual and mathematical approaches found in textbooks for proof-intensive courses in undergraduate mathematics education.