This article discusses findings from a two-day teacher conference focusing on discursive authority and sociocultural positioning in mathematics classrooms. The conference was designed to study how research on classroom discourse could be transformed into effective professional development activities. We describe how the focus on discourse,…

In some secondary mathematics curricula, there is a topic called Stereometry that deals with investigating the position and finding the intersection, angle, and distance of lines and planes defined within a prism or pyramid. Coordinate system is not used. The metric tasks are solved using Pythagoras' theorem, trigonometric functions, and sine and…

When elementary ordinary differential equations (ODEs) of first and second order are included in the calculus curriculum, second-order linear constant coefficient ODEs are typically solved by a method more appropriate to differential equations courses. This method involves the characteristic equation and its roots, complex-valued solutions, and…

This paper reports on a research study conducted with a group of practising primary school teachers (n = 24) in North East Scotland during 2011-2012. The teachers were all participants in a newly developed Masters course that had been designed with the aim of promoting the development of mathematical thinking in the primary classroom as part of…

Numeracy in schools is becoming an increasingly important part of mathematics learning and teaching. This is because educators want students to engage with mathematical concepts more deeply, use mathematics to make sense of their environment and make decisions that are based on the analysis of mathematical information. In order to be numerate,…

Implementing educational innovations is far more complex than the straightforward execution of policy prescriptions. The diversity in implementation variants reflects an inherent tension between stabilizing and change-driven processes in school organizations. This article tries to capture this complexity by focusing on how individual and…

This paper describes the experience of applying a new teaching strategy to a basic mathematics course at the Open University of Catalonia. This strategy requires students to engage with practice and assessment tests with automatic feedback. The main aim of this research is to look into the extent to which the key elements of this teaching strategy…

This article shows how to modify classroom evaluation items to avoid four potential difficulties that limit a teacher's insight into students' mathematical understanding by addressing these issues: (1) poor choice of numbers; (2) implausible or inappropriate contexts; (3) inclusion of graphics that do not help make learning visible; and…

A problem-solving capstone course for mathematics and mathematics education majors can help majors synthesize material learned in the major, create a basis for lifelong learning in the discipline, develop confidence, and promote interest in graduate study. Such a course may also play a role in departmental assessment of the major. This article…

In the early 1990s, in an effort to enhance their majors' ability to communicate mathematical ideas, the Mathematics Department at Bellarmine University added a capstone course, "Readings in Mathematics," to the curriculum of each degree program in the department. We provide an overview of the course, noting its unique aspects, with…

Curriculum mapping is a common practice amongst test designers but not amongst teachers. As part of the Data Informed Practice Improvement Project's (DIPIP) attempt to de-fetishise accountability assessment, teachers were tasked to investigate the alignment of a largescale assessment with the South African mathematics curriculum. About 50…

The purpose of this study was to determine whether relationships existed between teachers' implementation of two specific discourse-related instructional practices and students' mathematics achievement in geometry and measurement as part of a research study on the effectiveness of an advanced mathematics curriculum for kindergarten and…

What would the curriculum look like if it were developed from the perspective of measuring? Without formal tools, the Yup'ik Eskimos of Alaska used their body as a measuring device and employed ratios extensively in their daily practices. "Math in a Cultural Context" is developing curriculum materials based on Yup'ik Elders use of…

This submission contains the Proceedings of the 2016 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Queen's University in Kingston, Ontario. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study…

The theme of the 39th proceedings of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) conference was "Synergy at the Crossroads: Future Directions for Theory, Research, and Practice." The metaphor of crossroads was inspired by the conference venue--the historic Indianapolis Union…