PROCEEDINGS OF THE 21ST ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2018
San Diego, California
Supporting Prospective Teachers’ Understanding of Triangle Congruence Criteria
Page: 1568
This poster describes an instructional sequence for supporting college geometry students’ justifying Euclidean triangle congruence criteria using properties of isometries. We hypothesized that investigating transformations in the taxi-cab metric would perturb students’ understandings of the relationships between triangle congruence criteria and isometries, so they would more explicitly identify the properties of transformations as a necessary part of their justifications of triangle congruence criteria. We report on the results of pre-post written assessments of our college geometry students’ justifying SAS to a hypothetical 10th grade student.