Teachers have the opportunity to capitalize on a vast array of real-world, two- and three-dimensional objects as they guide students in developing a conceptual understanding of geometric shapes. An important component of the NCTM Standards is to use teaching methodologies that engage children in making real-world connections to the mathematics…

The general goal of this paper is to explore the potential of computer environments for the teaching and learning of functions. To address this, different theoretical frameworks and corresponding research traditions are available. In this study, we aim to network different frameworks by following a "double analysis" method to analyse two…

As a secondary mathematics teacher, I used practitioner action research to determine effective ways to intervene with students working in groups, with the goal of improving their communication. Utilising transcripts of group interactions and teacher interventions, field notes, and student feedback, I discovered ten different issues that prevent…

This dataset includes a series of 30 education-related majors' performance measures before and after they completed a 10-hour video game practice in a computer lab. The goal of the experimental study was to examine the effects of action video gaming on students' mathematics performance and mathematics anxiety as mediated by the effect of attention…

This paper describes a mentoring program designed to prepare novice instructors to teach a college geometry class using inquiry-based methods. The mentoring program was used in a medium-sized public university with approximately 12,000 undergraduate students and 1,500 graduate students. The authors worked together to implement a mentoring program…

This paper describes a mentoring program designed to prepare novice instructors to teach a college geometry class using inquiry-based methods. The mentoring program was used in a medium-sized public university with approximately 12,000 undergraduate students and 1,500 graduate students. The authors worked together to implement a mentoring program…

Geometer Sketchpad is far from a new innovation, but its potential in the classroom is probably still understated. The application described here can be replicated in any classroom, and the impact on learning is likely to be significant. The experiences documented are "real", and show how a software package can enhance an area of the mathematics…

Learners are all different and teachers are all different, so why do we often ignore this reality when trying to explain, or demystify, some aspect of mathematics in the classroom? Enabling learning can be challenging, demanding of creativity, and needy of alternatives if understanding is the real goal. Here the authors offer ideas that are aimed…

Conjectures, theorems, and problems in print often appear to come out of nowhere. Scott Fallstrom and Marion Walter describe how their thinking and conjectures evolved; they try to show how collaboration helped expand their ideas. By showing the results from working together, they hope readers will encourage collaboration amongst their students.…

The formula [image omitted] is closely related to combinatorics through an elementary geometric exercise. This approach can be expanded to the formulas [image omitted], [image omitted] and [image omitted]. These formulas are also nice examples of showing two approaches, one algebraic and one combinatoric, to a problem of counting. (Contains 6…

This study investigated the impact of a dynamic geometry (DG)-centered teacher professional development program on high school geometry teachers' content knowledge and their students' geometry learning. 64 geometry teachers were randomly assigned to an experimental (DG) group and a control group. Both groups received appropriate and relevant…

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…

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…

In this article, the author describes how a curricular unit that provided opportunities for active engagement and participation was used to support the geometric reasoning of sixth grade African American (AA) male students. The curricular unit was designed to support students' understanding of quadrilaterals. Data sources (pre- and post-tests,…