The school system in both the Republic of Ireland [ROI] and Northern Ireland [NI] is configured to accommodate children into discrete educational bands at different stages on their learning journey. Research has consistently shown that the transition from primary to post-primary, which typically occurs between the ages of 11 and 13, is the most…

These Proceedings are a written record of the research presented at the 40th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Greenville, South Carolina, November 15-18, 2018. The theme of the conference is "Looking Back, Looking Ahead: Celebrating 40…

Over the last decade, researchers have investigated the nature and scope of mathematical knowledge for teaching (MKT) and have provided evidence that teachers' MKT plays a critical role in the effectiveness of teaching and learning. This dissertation focuses on the problem of helping teachers develop MKT. Two goals shape the research: (1) to…

The theme of this year's conference is "Sin Fronteras: Questioning Borders with(in) Mathematics Education." This theme is intended to encourage research presentations, discussion, and reflection on the variety of borders within mathematics education, as well as those that might be probed, challenged, explained, enhanced and/or…

Mexican authorities and universities are actively working to improve mathematics teaching and learning across the education system. Thus, efforts are underway to raise the historically low performance in mathematics, which include theoretically grounded pedagogy and curriculum development to raise mathematical knowledge in teacher education…

Against the background of concerns around teaching and learning outcomes in primary school mathematics in South Africa, this article presents two studies conducted in American Samoa and seeks to draw implications for the teaching and learning of mathematics in South Africa. American Samoa has a very similar educational context to South Africa. The…

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…

Reforms in mathematics education call for K-12 teachers to employ standards-based pedagogies, which embody the National Council for Teachers of Mathematics' principles and standards. In order to effectively support teachers' implementation of standards-based curricula, professional development must be provided that meets teachers' needs. The…

The article reviews some of the problems faced by teacher education in general and in Chile specifically, and on this basis, presents the results of a study focused on the effects of six teacher education programmes on future primary level teachers' learning of mathematics and mathematics pedagogy. The study describes the programmes and presents…

The research article in this article is part of a larger study that examines an initiative to expand teacher expertise in facilitating mathematical problem solving within the framework of developing and field-testing pedagogical resources. We focus on one year of the study and report on the complex process of professional development as teachers…

This article begins to unravel the question, "What curricular materials work best under what kinds of conditions?" The authors address this question from the point of view of teachers and their ability to implement mathematics curricula that place varying demands and provide varying levels of support for their learning. Specifically, the…

This article describes the goals of a capstone course for secondary preservice mathematics teachers and how those goals are achieved. Moreover, student reaction to the course will be examined.

This interview study takes place in the context of a single small district in the United States. In the algebra curriculum of this district, there was a shift in the conception of equation, from a statement about unknown numbers to a question about the comparison of two functions over the domain of the real numbers. Using two of Shulman's…

The author of this paper posits that inquiry-based learning (IBL) enacted via a modified Moore method (MMM) is a content-driven pedagogy; as such it is content-centred not instructor-centred or student-centred. The MMM is a philosophy of education where student must master material by doing; not simply discussing, reading, or seeing it and that…

The purpose of this large-scale, multi-year, national study is to determine whether some early elementary school math curricula are more effective than others at improving student math achievement, thereby providing educators with information that may be useful for making adequate yearly progress. The main questions being addressed by the study…