This paper discusses strategies that two high school geometry teachers employed to solve a challenging geometry problem with the aid of dynamic geometry software (The Geometer's Sketchpad (GSP). The teachers were part of a group of teachers who participated in a summer professional institute funded by the National Science Foundation. The paper…

In this essay, we describe some challenges that mathematics teacher educators may face when teaching content courses for future elementary and middle school teachers. We summarize research that suggests students in content courses may have fixed mindsets, unproductive beliefs, and mathematics anxiety that can interfere with their ability to learn…

A typical pathway to become a credentialed mathematics teacher in a high school constitutes primarily of three parts; a bachelor's degree, subject matter competency, and the requisite professional education--courses and directed teaching. These are often delivered in a disconnected fashion with little attention given to the context. As research in…

Ninety-five elementary pre-service teachers enrolled in a mathematics content course for elementary school teachers completed 3 surveys to measure mathematics teaching efficacy, mathematics self-efficacy, and mathematical beliefs. The pre-service teachers who reported stronger beliefs in their capabilities to teach mathematics effectively were…

The role of a teacher is different from that in traditional mathematics instruction when the implementation of a lesson is based on students' ideas. The author's experience teaching the same lesson (of the latter format) to two different classes of pre-service teachers in an elementary mathematics methods course is described. Since whole-class…

In this paper the authors present three design principles they use to develop preservice teachers' mathematical content knowledge for teaching in their mathematics content and/or methods courses: (1) building on currently held conceptions, (2) modeling teaching for understanding, (3) focusing on connections between content knowledge and other…

As part of the Writing Across the Curriculum movement, teachers are asked to integrate writing into their teaching of mathematics; however, this can be a difficult task given that most elementary school teachers have had little experience using writing as a tool to learn and communicate their understanding of mathematics. To give students in my…

Teacher education programs are designed to provide candidates opportunities to explore effective ways to teach K-12 students mathematics. Although many of these experiences engage candidates in investigations of pedagogies using technology, manipulatives, media, etc., they often only involve and emphasize more formal experiences such as…

Problem solving tasks offer valuable opportunities to strengthen prospective elementary teachers' knowledge of and disposition toward mathematics, providing them with new experiences doing mathematics. Mathematics educators can influence future instruction by modeling effective pedagogical strategies that engage students in making sense of…

This article describes how to build a classroom community of learners, pre-service teachers, during the first days of the semester. This process not only creates a supportive learning environment, but it provides pre-service teachers with a model of how they can build a community of learners in their own classrooms.

In a geometry content course for pre-service elementary teachers, technology was utilized to assist students in making sense of shapes. They learned to write simple procedures in Logo that would program a turtle to draw various quadrilaterals. In the context of writing these procedures, the pre-service teachers used variables to represent the…

Preservice elementary teachers need to be given the experiences of integrating mathematics with other subjects. They need to go into the classroom with the understanding that mathematics is not an isolated topic. This article describes a paper airplane activity that was presented in a class of preservice elementary education teachers to show how…

A mediating approach is implemented into a section of Block I courses elementary pre-service teachers took in a cohort setting in Spring 2002. The paper discusses the components of the approach as well as the logistics of the initial implementation. Furthermore, the paper provides qualitative and quantitative analysis of a set of data gathered…

This study describes a classroom action research activity regarding a group of elementary school teacher candidates' perceptions of good mathematics problems. A questionnaire containing 20 problems was given, and the candidates were asked to rate the quality of each problem on a 5-point scale. The results revealed that the majority of the teacher…

This article is about a computer lab project in which prospective teachers used Geometer's Sketchpad software to create two-dimensional nets for three-dimensional shapes. Since this software package does not contain ready-made tools for creating non-regular or regular polygons, the students used prior knowledge and geometric facts to create their…