This paper reports on a mathematics intervention initiative, "Prepare 2 Learn," designed taking into account research literature and elements of other successful programs. The program was intended to prepare students for their upcoming mainstream mathematics lessons as well as make them aware of the impact they can have on their own…

Teachers of senior secondary mathematics are required to contend with a number of challenges including covering the prescribed curriculum, differentiating the content for a range of learners, and preparing students for externally imposed assessment tasks. The flipped classroom is gaining in popularity as an approach that can be used to address…

There is an identified and growing need for a levelled diagnostic basic facts assessment tool that provides teachers with formative information about students' mastery of a broad range of basic fact sets. The Individual Basic Facts Assessment tool has been iteratively and cumulatively developed, trialled, and refined with input from teachers and…

The "Accelerating the Mathematics Learning of Low Socio-Economic Status Junior Secondary Students" project aims to address the issues faced by very underperforming mathematics students as they enter high school. Its aim is to accelerate learning of mathematics through a vertical curriculum to enable students to access Year 10 mathematics…

This paper presents findings as part of a wider study that investigated the professional knowledge of teachers when teaching mathematics for numeracy in the primary school classroom. This paper focuses on teachers in action as they taught two lessons on multiplication. It outlines the specific pedagogical categories the teachers used and the…

Traditionally, the domain of higher education, the 'flipped classroom' is gaining in popularity in secondary school settings. In the flipped classroom, digital technologies are used to shift direct instruction from the classroom to the home, providing students with increased autonomy over their learning. While advocates of the approach believe it…

Many key aspects of modern theory relating to classroom discourse in mathematics education, especially the theory of didactical situations, have not progressed much further than theories put forward in the 1840s by the North American educator David Page. Aspects of Brousseau's (1997) description of what he called the Topaze effect, are remarkably…

The approaches to new technologies available to schools, teachers and students largely concern computers and engagement. This requires adoption of alternate and new teaching practices to engage students in the teaching and learning process. This research integrates youth voice about the use of technology. A major motivation for this research is to…

This paper describes part of a mixed-methods study comparing the effectiveness of an individual, conceptual instruction based, tuition program delivered face-to-face and by personal videoconferencing (PVC) for 30 upper primary and middle school students with mathematical learning difficulties (MLDs). The experimental intervention targeted number…

Proportional reasoning is important for informed decisions in proportional problem situations. This paper reports on mathematical content knowledge related to proportional reasoning of second-year, pre-service teachers. Responses to two ratio items provide insights into their correct method of solutions and common misconceptions. Anchor Points…

Declining participation rates in advanced mathematics courses and STEM-related occupations has been an issue in Australia for some time, particularly for females. As students continue to disengage with mathematics and complain about its usefulness, it is important to explore what we can do to stem the tide of departing students. One area worthy of…

This paper reports further findings from a study on categorisation of typical problems in the learning of ratio originally presented at the 2011 conference. The paper focuses specifically on the seven categories identified; examines strategies used by two classes of Primary 6 students to solve problems, and presents data in the form of student…

The number of ethnic Chinese students in schools across Australian cities is small but increasing. It is important to understand how these students socialise into the Australian (mathematics) education system, so that we can better facilitate their education experiences in ways which optimise their potential to learn. This paper reports on part of…

Pre-service primary (elementary) teachers' mathematics anxiety affects their engagement with and future teaching of mathematics. The study measured the range of mathematics anxiety in 219 pre-service teachers starting a teacher education course in an Australian university. They responded to the Revised Mathematics Anxiety Scale (RMARS) and a set…

In this study we take up the issue of teacher knowledge by characterising the quality of one teacher's Mathematics Knowledge for Teaching (Ball, Thames and Phelps, 2008) by examining her Pedagogical Content Knowledge (PCK) that was accessed during a Lesson Study observation in a Chinese primary school. Results show that the participant's PCK was…