Review of the history of trigonometry content and pedagogy indicates the necessity and importance of trigonometry in the school curriculum (e.g., van Brummelen, 2009; van Sickel, 2011). For example, understanding trigonometric functions is a requirement for understanding some other areas of science, such as Newtonian physics, architecture,…

As a young and dynamically evolving discipline, statistics evokes many conceptions about its purpose, the nature of its development, and the tools and mindset needed to engage in statistical work. While much research documents the perceptions of statisticians and experts on these matters, little is known about how the disciplinary perspectives of…

The process of planning to teach mathematics is complex and idiosyncratic and is gaining increased attention in educational research. In this paper, I propose a framework for conceptualising the critical factors that influence teachers' mathematics planning decisions. The framework is informed by the analysis of teacher survey data (n=114) and two…

This paper reports the findings from a pilot qualitative study that set out to investigate pre-service primary school teachers' beliefs concerning the integration of children's literature in their mathematics learning and teaching. The thematic and content analyses were drawn from self-reported beliefs of 33, third- and fourth-year pre-service…

There is a large body of research that suggests a sound understanding of rational number is vital for success in all areas of mathematics, at school and beyond. In the Australian Curriculum, fractions are formally introduced from Year 1, yet there is evidence to suggest that current approaches are not leading to deep understanding in later years.…

Example use in undergraduate mathematics has been extensively studied. However, little is known about undergraduates' example use in the context of introductory point-set topology. We present a case study of one undergraduate and describe her example use when constructing proofs in the context of introductory topology. We describe her use of a…

The development of numerical abilities was examined in 59 children aged 5 years divided into three groups: one control group (n = 15) and two experimental groups (pencil-and-paper mathematical training: n = 29: computerized mathematical training: n = 15). The participants were assessed both before and after a battery of validated tests assessing…

This dissertation was motivated by a deep commitment to creating robust mathematics learning communities for teachers and for students that are grounded in care, dignity, and connection. Designing for learning from this relational perspective requires disrupting dehumanizing aspects of systems of schooling that function to construct difference and…

The Models and Modeling Working Group at PME-NA has provided a forum for discussing and collaborating on projects fundamental to research on mathematical modeling since the first PME-NA conference in 1978. We propose to convene this Working Group at PME-NA 41 with a dual purpose: (1) to build on a theme begun in Greenville, holding a focused…

Systems of equations are an important topic in school mathematics. However, there is limited research examining productive ways of supporting students' understandings of systems of equations. In this paper, we first present a conceptual analysis of potential ways students may leverage their quantitative and covariational reasoning to graph systems…

In this article we present and discuss some theoretical and methodological elements of a wider research that analyzes the teaching practice of two teachers novice and expert from a semiotic theoretical approach. The conceptual framework of this work allows for addressing the epistemological and didactic dimensions of the teaching practice. Three…

Fractions--their concepts, procedures, and symbolic notation--are well-known for the difficulty they present children, beginning in elementary school, and often, persisting long after. However, promoting children's development of flexible and robust conceptual knowledge in this content area is critical for their success both in and out of school.…

Cluster Randomized Trial (CRT) designs are inherently multilevel and reflect the hierarchical structure of schools and the wider education system. To capture this multilevel nature, CRTs are commonly analysed using multilevel (or hierarchical) linear models. It is fairly common for CRT designs and analyses to include school and individual/pupil…

Before school closures due to the COVID-19 pandemic, the frequency with which teachers used computer activities to teach a class varied across education systems. However, many teachers across the board reported the need for professional development to teach using technical devices. Using results from TIMSS (Trends in International Mathematics and…

The goal of this study was to further evaluate the impact of IXL Math on math learning outcomes. Using a quasi-experimental design with matched treatment and control groups, this analysis utilized data from 312 public schools in Mississippi during the 2021-2022 school year. The middle school analysis included 272 schools (136 treatment, 136…