Out-of-field teaching refers to the practice of assigning teachers to teach subjects that do not match their training or education. This paper reports on a study evaluating the impact of a national professional development programme for out-of-field teachers of post-primary school mathematics in Ireland -- the Professional Diploma in Mathematics…

In this article, Merrilyn Goos looks at beliefs about the nature of mathematics and perceptions of mathematics teachers in examining "why teachers matter." It is difficult for researchers to specify exactly how different types of teaching and teacher qualities affect student achievement because this would require untangling the…

"Out-of-field teaching" is an international phenomenon that seems particularly prevalent in mathematics. Our study is evaluating the impact of a national professional learning program for out-of-field secondary mathematics teachers in Ireland. Using the Productive Pedagogies framework, we compared the pedagogical practices of three pairs…

Education research journals regularly report on small-scale studies that have been successful in changing mathematics teachers' classroom practices. But it is rare to find professional development programs for teachers of mathematics that have been scaled up and sustained over time. This article reports on a research-informed, large-scale…

This paper presents a model of numeracy that integrates the use of digital technologies among other elements of teaching and learning mathematics. Drawing on data from a school-based project, which includes records of classroom observations, semi-structured teacher interviews and artefacts such as student work samples, a classroom-based vignette…

This article describes a project that focuses on numeracy in secondary school mathematics. During the course of the project a teacher had the chance to develop and trial new tasks and styles of teaching and learning numeracy. She became increasingly comfortable with using more extended tasks for learning mathematics. However, she believes that it…

Numeracy is a fundamental component of the Australian Curriculum as a General Capability in each subject. Here, we report on an aspect of a larger project that aims to provide insight into how teachers can assist their students to develop a critical orientation to life-related situations through a cross-curricular approach to numeracy.…

It is great to see how the sharing of ideas sparks new ideas. In 2011 Lyon and Bragg wrote an "Australian Primary Mathematics Classroom" (APMC) article on the mathematics of kitchen gardens. In this article the authors show how the kitchen garden may be used as a starting point for proportional reasoning. The authors highlight different…

Mathematics and science are tightly interwoven, yet they are often treated as distinct disciplines in the educational context. This study details the development, implementation and outcomes of a teaching intervention that highlights the links between mathematics and science, in the form of a first-year interdisciplinary course. A mixed method…

This article describes a teacher's Maths lesson that focuses on numeracy in health and physical education learning area. In the lesson, the students were learning about Directed Numbers, something they often struggle with and a topic where the teacher finds it hard to explain using real life situations when using addition and subtraction. The…

Proportional reasoning is an important aspect of formal thinking that is acquired during the developmental years that approximate the middle years of schooling. Students who fail to acquire sound proportional reasoning often experience difficulties in subjects that require quantitative thinking, such as science, technology, engineering, and…

For many years, education researchers excited by the potential for digital technologies to transform mathematics teaching and learning have predicted that these technologies would become rapidly integrated into every level of education. However, recent international research shows that technology still plays a marginal role in mathematics…

This article describes a project that focuses on how a Society and Environment unit could develop required numeracy. This is more of an integrated unit organised around a theme rather than a Society and Environment unit that required specific aspects of numeracy. Suggested data sources for examining students numeracy development included (1) a…

Wondering whether they are really making a difference to young people's mathematics learning is a question that most teachers have probably wrestled with at some stage of their careers. However, evidence from a multitude of research studies shows that students' mathematics learning and their dispositions towards mathematics are indeed…

This article considers the question of what specific actions a teacher might take to create a culture of inquiry in a secondary school mathematics classroom. Sociocultural theories of learning provide the framework for examining teaching and learning practices in a single classroom over a two-year period. The notion of the zone of proximal…