In this article, the authors introduce the Into Math Graph tool, which helps teachers learn about their students' mathematics-related experiences and mathematical engagement by inviting students to define and graph their engagement over time. This tool documents and allows teachers to understand how and why students' engagement increases,…

This paper describes students' developing meta-representational competence, drawn from the second phase of a longitudinal study, "Transforming Children's Mathematical and Scientific Development." A group of 21 highly able Grade 1 students was engaged in mathematics/science investigations as part of a data modelling program. A pedagogical…

This longitudinal study evaluates the impact of a new Algebra 1 course at a High School for language-based learning-disabled (LD) students. The new course prioritized the teaching of relationship graphs and functions as an introduction to algebra. Across three studies, the dissertation documents and evaluates the progress made by LD high school…

Cross-sectional and longitudinal data from students as they advance through the middle school years (grades 6-8) reveal insights into the development of students' pattern generalization abilities. As expected, students show a preference for lower-level tasks such as "reading the data," over more distant predictions and generation of abstractions.…

This document presents the proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of this conference is "Navigating Currents and Charting Directions." The theme reminds us that, although we are constantly pushed to account for the quality and impact of our research, we…