PROCEEDINGS OF THE 21ST ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2018
San Diego, California
Connecting the Study of Advanced Mathematics to the Teaching of Secondary Mathematics: Implications for Teaching Inverse Trigonometric Functions
Page: 643
Prospective mathematics teachers are usually required to complete courses in advanced mathematics to be certified to teach secondary mathematics. However, most teachers do not find these advanced mathematics courses as relevant to their teaching. In this paper, we describe a novel way to teach real analysis to future teachers that connects the content of real analysis to the activity of teaching secondary mathematics. We illustrate this method by describing a module that links the study of the relationship of continuity, injectivity, and strict monotonicity in real analysis to the teaching about the arcsine function and solving trigonometric equations in secondary mathematics. We describe a teaching experiment in which this module was implemented and present evidence of the efficacy of this instruction.