Exposes difficulties encountered when using interactive geometry software to teach the methodology of proofwriting (observing, conjecturing, and proving) in secondary geometry courses. (Author/NB)

Guides students through the process of designing a window. Allows them to use technology and a variety of representations while maximizing and minimizing the dimensions based on cost and light. Includes activity sheets. (Author/NB)

Discusses students' exploration of a particular rational function in the context of people waiting in line for service. The concepts of domain, range, and asymptotes are also developed in that context as is the effect of changes in input variables on function outputs. (Author/NB)

This study explores the use of Valsiner's zone theory as a way to interpret the zones of proximal development of three secondary teachers in mathematics and science. Specifically, we used classroom discourse to identify what the participating teachers promoted (zone of promoted action) or allowed (zone of free movement) in the classroom as a way…

This paper reports on a study that investigated the pedagogical practices and beliefs of pre-service and beginning teachers in integrating technology into the teaching of secondary school mathematics. A case study documents how one teacher's modes of working with technology changed over time and across different school contexts, and identifies…

The Third International Mathematics and Science Study (TIMSS) reports that the mathematics teaching in Japan is distinctly different from that found in the United States. They attribute part of that difference to the professional development practice of Lesson Study. However, is the pre-service preparation of Japanese mathematics teachers also…

Scholars of decades past, current researchers, and various reform documents all deal, directly or indirectly, with the question of what constitutes good mathematics teaching. Often good teaching is situated in the context of broader educational goals, such as preparing literate citizenry. Researchers generally define good teaching implicitly with…

We describe an urban school initiative aimed at teachers' professional development with the goal of increasing their mathematics content knowledge and helping them improve their practice. In the lowest performing schools, mathematics specialists were employed to teach only mathematics in upper-elementary grades (ages 9-12). One aspect of this…

The purpose of this article is to describe findings from a study of teachers' social interaction during discussions about students' thinking. The goal of the discussions was for the teachers to interpret their students' thinking as revealed from work on non-routine, thought-revealing mathematical tasks, known as "model-eliciting activities". The…

Eight teachers were interviewed concerning how students verify conjectures. The study is a sequel to a previous study, "How Students Verify Conjectures" [Bergqvist, T. (2000). "How students verify conjectures." "Research reports in Mathematics Education" 3]. Teachers' expectations of students' reasoning and performance are examined, and also how…

Current reform-driven mathematics documents stress the need for teachers to provide learning environments in which students will be challenged to engage with mathematics concepts and extend their understandings in meaningful ways (e.g., National Council of Teachers of Mathematics, 2000, "Curriculum and evaluation standards for school mathematics."…

In the past decade, there has been an increased emphasis on the preparation of teachers who can effectively engage students in meaningful mathematics with technology tools. This study presents a closer look at how three prospective teachers interpreted and developed in their role of facilitating students' mathematical problem solving with a…

This paper draws on videotapes of mathematics lessons prepared and conducted by pre-service elementary teachers towards the end of their initial training at one university. The aim was to locate ways in which they drew on their knowledge of mathematics and mathematics pedagogy in their teaching. A grounded approach to data analysis led to the…

While teaching, teachers need to access both their knowledge of mathematics and knowledge of pedagogy. Practice-based materials afford teachers opportunities to reason about both mathematics and pedagogy within the context of teaching. Accepted systems exist for explaining and reasoning in the domain of mathematics; logic, procedures, and…

The crisis in UK mathematics education, both in schools and universities, has been widely reported. Currently, 24% of full-time mathematics teachers in English secondary education have "weak" or "nil" qualifications in the subject, 31% of secondary mathematics teachers are now over the age of 50, and it is estimated that England alone is short of…