Two related case studies of secondary mathematics teachers examine the roles and conditions helpful in initiating, directing, and/or supporting teachers' own professional development. Using multiple data sources from school-based and professional settings, we applied analytic induction to identify patterns of similarities and differences in…

Students from small rural schools (class 1A, 2A, and 3A) historically have not had access to dual credit courses for several reasons including distance from a college campus, affordability, and district teaching strength. In an effort to address these problems and to begin the college experience sooner, a new program was developed by the…

A single subject alternating treatment design across three teacher-student dyads was used to investigate the comparative impact on student academic engaged time (AET) of three common opportunities to respond (OTR) interventions, a) guided notes, b) class-wide peer tutoring, and c) response cards. Subjects were three students with…

This dissertation is comprised of three studies investigating the teaching practices of a cohort of pre-service teachers in a university-based teacher education program. The first manuscript characterizes the improvements of a cohort of eight pre-service secondary mathematics teachers (PSMTs) over the course of an academic year in the year prior…

Using rehearsals and in-the-moment coaching is being explored in mathematics teacher education courses at two New Zealand universities. This paper describes the perceptions of students, gathered using questionnaires, from two classes at our institution using different approaches for incorporating rehearsals and coaching. Students believed…

We analyze the interaction of 3 students working on mathematics problems over several days in a virtual math team. Our analysis traces out how successful collaboration in a later session is contingent upon the work of prior sessions and shows how the development of representational practices is an important aspect of these participants' problem…

In order to study the conceptions, and their evolutions, of the tangent line to a curve an updating workshop which took place in Mexico was designed for upper secondary school teachers. This workshop was planned using the methodology of cooperative learning, scientific debate and auto reflection (ACODESA) and the conception-knowing-concept model…

This paper reports on an exploration of students' learning derived from the implementation of learning materials developed in a previous collaborative project. The purpose of the study was to examine the development of third-year students' understanding of the Reimann Sum. These concepts were taught to undergraduate teacher trainees wishing to…

We observed a student teacher's practice as she taught one unit of instruction. Using a modification of Toulmin's (1958/2003) diagrams, we analyzed her support for collective argumentation by examining questions she asked, parts of arguments she contributed, and the kinds of warrants her students contributed. Our findings suggest reasons she was…

Learning algebra is difficult for many students in part because of an emphasis on the memorization of abstract rules. Algebraic reasoners across expertise levels often rely on perceptual-motor strategies to make these rules meaningful and memorable. However, in many cases, rules are provided as patterns to be memorized verbally, with little overt…

The papers in the monograph address different topics related to mathematics teaching and learning processes which are of great interest to both students and prospective teachers. Some papers open new research questions, some show examples of good practice and others provide more information about earlier findings. The monograph consists of six…

This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

Assessment for learning has an important role to play in self-regulated learning but the assessment interface can impact learner motivation and performance. Learners are able to assess their knowledge of learning content and, through repeated assessment and high-quality feedback, close the gap between their current performance and the performance…

In this article, the authors provide portraits of three mathematics teachers: one European American man, one African American man, and one Middle Eastern woman. All three taught in secondary schools with predominantly African American student populations. Semi-structured interviews and observations were conducted to create a comparative case study…

While mathematics education research has often focused at the level of the classroom (Rousseau Anderson & Tate, 2008), there are emerging calls for attention to shift from individual classrooms to consider the process of reform at the school or district level. Investigating the role of the institution and conditions of the organization becomes…