In this paper, we investigate how a research mathematician conjectures and proves when conducting her research. To be precise, the aim of this study is to achieve a comprehensive understanding of the way this research mathematician develops these mathematical practices and thus gain insight to improve the teaching and learning of these two…

Despite increases in educational attainment in London, too many mathematics lessons remain focused on factual recall and procedural understanding,resulting in disaffection among learners. This study reports on the establishment of a research group, comprising five teacher researchers and myself, which aimed to challenge this situation through…

Partnership with teachers for professional development has been considered beneficial because of the potential of collaborative work in the teacher's own classroom to be relevant to practice. From this perspective, both teachers and researchers can draw on their own expertise and work as authentic partners. In this study, we address the need for…

Pirie and Kieren (1989 "For the learning of mathematics", 9(3)7-11, 1992 "Journal of Mathematical Behavior", 11, 243-257, 1994a "Educational Studies in Mathematics", 26, 61-86, 1994b "For the Learning of Mathematics":, 14(1)39-43) created a model (P-K) that describes a dynamic and recursive process by which…

This paper reports a case study from a mathematics teaching developmental research project. The theoretical foundation for the research comprises "communities of inquiry" and "critical alignment," with which the developmental methodology has a particular synergy. This synergy is the main focus of the paper. The paper elaborates…

The literature seems limited in what is known about conceptual processes that underlie evolution of students with learning disabilities (SLD) conceptions of fractions. This exploratory study examines how a foundational scheme of unit fractions (1/n) may evolve through the mathematical activity of two fifth grade girls. We analyze data segments…

Researches carried out all around the world showed that students learn more effectively if they are able to make connections between subjects. This case reports based on an investigation of how mathematics concepts were connected to science concepts by a science teacher in an elementary science classroom, and on the science teacher's views about…

This paper discusses upper primary school teachers' perspectives on changes to their knowledge and practice through participation in a design-based research project. It analyses their experiences using Clarke and Hollingsworth's (2002) empirically-founded model for professional growth to understand more about the mechanisms for change that might…

In considering "good teaching" in mathematics, scholars usually refer to teacher knowledge and instructional practices that promote understanding. However, researchers have found that these two elements of instruction are often not as prevalent in urban contexts, a space where high percentages of students of color and the poor are educated.…

Under current learning trajectories for length and area, researchers examine how students coordinate and systematize measurement using a given external iterating unit. This study investigates the possible cognitive behaviors missing in that approach by giving students the larger task of comparing areas to see how they construct internal units…

In this article the manifold aims and theorised benefits of Learning by Design are explored and evaluated through the practices and experiences of an early years mathematics teacher. The article examines and elaborates the ways in which this teacher took up and embraced Learning by Design as both a professional meta-language and as a design…

The overall aim of the project was to engage early childhood teachers in investigating and improving their expertise in the teaching and learning of mathematics. The intention of the project was to develop a research environment through which researchers and kindergarten teachers worked collaboratively, using action research methodology, to…

This article aims to contribute to the theory of mathematics instruction by highlighting and analysing Leen Streefland's work as a teacher in a primary school. Core ideas of Streefland's are discussed as part of a recent wave of educational innovations using the idea of learning communities. I present a case study of a lesson co-taught by…

Presents a case study which describes the experiences of two classroom mathematics teachers and the impact that their own research has had on themselves as teachers; traces their entry into the world of research beyond the classroom. (19 references) (MKR)

Within mathematics education, classroom teachers, educational researchers, and instructional designers share the common goals of understanding and improving the teaching and learning of mathematics. Teachers work to help students learn; researchers study how people learn and teach mathematics; and designers develop instructional materials to…