This case study investigates prospective middle school mathematics teachers' use of the Angle tool in GeoGebra, focusing on reflex angles in a geometric construction task. They constructed a parallelogram with individual heights for any two consecutive sides. We analyzed their screencasts to identify the ways in which they used reflex angles in…

The aim of this research is to examine preservice mathematics teachers' dispositions toward drawing geometric patterns in tasks and find out their perspectives on using these tasks for their future students. Sixty preservice mathematics teachers who enrolled in a methods course for 14 weeks participated in the research. The responses to the…

Researchers have generated a powerful framework that identifies three aspects of noticing students' mathematical thinking: attending to, interpreting, and deciding how to respond to student thinking. Previous research has tended to focus on evaluating how "well" teachers engaged in noticing, and how "well" they connected the…

Supporting prospective teachers to enact high quality instruction requires transforming their methods preparation. This study follows three teachers through a practice-based elementary methods course. Weekly class sessions took place in an elementary school. The setting afforded opportunities for prospective teachers to engage in cycles of…

This study sought to examine the development of prospective secondary mathematics teachers' Technological Pedagogical Content Knowledge as they worked individually and in small groups to develop and present lessons with dynamic mathematics software. In a three-semester long study, data were collected from 68 prospective secondary mathematics…

Preparing preservice teachers to use technology appropriately in mathematics instruction is an important objective of mathematics teacher preparation programs. At Utah State University, this objective is addressed in a combined capstone mathematics and technology course. In this course, preservice teachers learn technology skills as they…

This report describes reflections from two cycles of developmental research that involved creating and refining a series of computer-based applets for reasoning about the relative magnitude of fractional quantities. The applet sequence stemmed from a cognitively demanding task used in face-to-face teacher education settings that involved placing…

This research describes preservice teachers' perceptions of the use of applets in solving mathematical problems. It examines such perceptions regarding the role and functions that applets have in the problem solving context, the difficulties they encounter when using applets in this context and the necessity or need of their use. I attempt to…

This qualitative study explored the roles which exist between pre-service elementary teachers and the technology tools they integrate into their mathematics lesson plans. A total of 35 pre-service elementary teachers participated in this study in which the researcher examined their lesson plans and reflection documents. The project occurred during…

A central tenet of mathematics education reform is the integral role of technology at all grade levels. Current technological changes combined with changes in mathematics content and instructional method require elementary mathematics teachers to be able to design technology intensive lessons for exploration and discovery of these concepts through…