This dissertation study investigated secondary mathematics teachers' designing and enacting lessons to draw on students' multiple mathematical knowledge bases. The ultimate objective of incorporating open spaces in mathematics lessons is to support students from culturally and linguistically diverse backgrounds in developing mathematical…

There is a body of research which highlights the importance of students studying mathematics at an advanced level, hence policy-makers worldwide look for ways to increase the uptake of advanced mathematics. In Ireland, the Government announced the introduction of a Bonus Points Initiative which came into effect in 2012, in an attempt to increase…

School-based learning experiences are often designed with the "typical" student in mind. However, this may not be an optimal approach, given the variability of prior learning that exists in most classrooms. We investigated the variance in achievement within U.S. fourth- and eighth-grade mathematics classrooms using Trends in…

The purpose of this study is to explore elementary educators' perceptions regarding what it means to conceptually understand mathematics, the emphasis teachers place on utilizing evidence-based teaching processes, as identified as effective by National Council of Teachers of Mathematics (NCTM), and how these perceptions influence their…

Effective mathematics teaching for Indigenous language speaking students needs to be based on fair expectations of both students and teachers. Concepts of "age-appropriate learning" and "school readiness" structure assessment expectations that entire cohorts of Indigenous language speaking students are unable to meet. This…

This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…