Preservice teachers’ creation of dynamic geometry sketches to understand trigonometric relationships
Files
Accepted manuscript
Date
2018-09-01
DOI
Authors
Amador, Julie M.
Glassmeyer, David
Brakoniecki, Aaron
Version
OA Version
Citation
A Brakoniecki, Julie Amador, David Glassmeyer. 2018. "Preservice Teachers’ Creation of Dynamic Geometry Sketches to Understand Trigonometric Relationships." Contemporary Issues in Technology and Teacher Education, v. 18, issue 3
Abstract
Dynamic geometry software can help teachers highlight mathematical relationships in ways not possible with static diagrams. However, these opportunities are mediated by teachers' abilities to construct sketches that focus users' attention on the desired variant or invariant relationships. This paper looks at two cohorts of preservice secondary mathematics teachers and their attempts to build dynamic geometry sketches that highlighted the trigonometric relationship between the angle and slope of a line on the coordinate plane. We identify common challenges in the construction of these sketches and present examples for readers to interact with that highlight these issues. Lastly, we discuss ways that mathematics teacher educators can help beginning teachers understand common pitfalls in the building of dynamic geometry sketches, which can cause sketches not to operate as intended.