This study examined the types of mathematical connections established by four secondary school students while constructing concept maps on transformations of the parabola. The use of concepts maps revealed students' understandings--including some misconceptions--of transformations of the parabola and confirmed the usefulness of a model for…

Reasoning is an important aspect in the understanding and learning of mathematics. This paper reports on a case study presenting one Australian primary teacher's reflections regarding the role played by a professional learning program in her developing understanding of mathematical reasoning. Examination of the transcripts of two interviews…

Positively addressing and resolving staff grievances within a school is imperative for effective schooling and leadership. Often overlooked in grievance procedures are the role/s of stakeholders especially those in authority (e.g., Principals or School Leaders). Content and Leximancer analysis are two useful methodological tools used in tandem…

This paper reports from a broad investigation of mathematics knowledge as dependent on interconnected concepts. The paper focuses specifically on illustrating how network analysis may be used in examining spatiotemporal relationships between learned mathematics concepts, or curriculum outcomes, and concepts inherent in assessment items.…

Mathematical knowledge of pre-service teachers is currently "under the microscope" and the subject of research. This paper proposes a different approach to teacher content knowledge based on the "big ideas" of mathematics and the connections that exist within and between them. It is suggested that these "big ideas"…

Concept maps drawn by Aboriginal and Torres Strait Islander tertiary off-campus students were examined to determine the effectiveness of interactive multimedia as an instructional medium for teaching and learning in a multiple cultural context that integrates the requirements of academic culture and aspects of the students' cultures. Interactive…

A longitudinal case study was conducted to explore changes in how beginning science teachers conceptualize science teaching. The current study explored the development of two of these teachers who were chosen because of their contrasting levels of expertise after their first semester of independent teaching. The research was designed to elicit the…

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…