Prospective secondary mathematics teachers in Australia are typically taught by mathematics educators and mathematicians who work in different faculties and seldom collaborate--a situation that can lead to conflicting views about how to teach mathematics. This paper reports on findings from semi-structured interviews with three mathematics teacher…

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…

'Out-of-field teaching' refers to the practice of assigning teachers to teach subjects that do not match their training or education -- an international phenomenon that seems particularly prevalent in mathematics. This paper reports on a study evaluating the impact of a national professional learning program for out-of-field secondary mathematics…

"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…

This article examines possibilities for using Valsiner's zone theory to understand identity formation of mathematics teachers and mathematics teacher educators. We situate our analysis within a sociological frame for identity research, in which identity is interpreted as an action rather than an acquisition. Valsiner's theoretical approach is…

Secondary mathematics pre-service teachers often have different experiences of mathematics and its teaching and learning during their initial teacher education. This paper documents the beliefs about mathematics, its teaching, and its learning, of mathematicians and mathematics educators who teach secondary mathematics pre-service teachers. The…

The pre-service teacher followed in this paper aimed to act as an agent of change during a time of reform in Irish secondary mathematics education. A teacher-researcher led action research project was conducted to depict the reality of the situation regarding the implementation of mathematical problem solving from a variety of perspectives-namely…

Students' post-school options are limited if they have not completed mathematics subjects involving the study of calculus. This paper employs a sociocultural approach to identify institutional practices that might promote sustained engagement with these subjects among students from disadvantaged backgrounds. Drawing on interviews with mathematics…

"Out-of-field" teaching refers to the practice of assigning secondary school teachers to teach subjects that do not match their training or education. This practice is an issue of concern in many countries around the world, and seems particularly prevalent in the teaching of mathematics. The aim of this paper is to analyse the design…

At the special conference celebrating the 50th anniversary of the Australian Association of Mathematics Teachers (AAMT), the author was asked to speak about the challenges and opportunities in teaching mathematics as a stimulus for discussion of AAMT's "future directions". With an open invitation to be a little provocative, the author…

This article discusses key issues surrounding the nature and development of professional knowledge for effective teaching of mathematics, especially at the secondary school level. In the education research community it is generally accepted that teachers need more than knowledge of the content they will teach; an additional construct, pedagogical…

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 National Curriculum as a General Capability identified in each F-10 subject. In this paper, we consider the principles of design necessary for the development of numeracy tasks specific to subjects other than mathematics--in this case, the subject of English. We explore the nature of potential…

The potential for digital technologies to enhance students' mathematics learning is widely recognised, and use of computers and graphics calculators is now encouraged or required by secondary school mathematics curriculum documents throughout Australia. However, previous research indicates that effective integration of technology into classroom…

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…