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The COVID-19 pandemic forced many teachers around the world to make a sudden switch from face-to-face to online teaching. This shift in practice has provided an opportunity to reconsider how technology use in mathematics education can be utilised to improve student engagement. In this study, we explore four case studies of Australian secondary mathematics classrooms conducted prior to the COVID-19 pandemic to examine how teachers are using blended learning approaches and how their students perceive these pedagogical practices. Findings across all four sites indicate that technology use expands student opportunities to engage with mathematics learning through the provision of multiple pathways and methods of access. Specifically, we find evidence supporting the use of blended classroom teaching strategies to provide differentiation and personalised learning approaches; visualisation and dynamic manipulation of mathematics concepts; and alternative methods for teacher-student feedback and communication. We argue that the student learning experience in mathematics can be enhanced through a variety of blended learning approaches by allowing for diverse points of access to learning opportunities which are more closely aligned to individual learning needs and free from the temporal constraints of the classroom.

Digital natives are now of age and comprise the new generation of early career teachers (ECTs). This is an important change in teacher demographics given that new technologies have been introduced into classrooms with expectations that teachers embed them effectively into the teaching of mathematics. This paper draws on the data of three separate studies and reanalyses it to explore how a small group of four early career primary school teachers use information and communication technologies (ICT) in their teaching of mathematics. Two of the ECTs were observed using interactive whiteboards in their mathematics teaching, and two were observed predominantly using tablets. Two important variables developed from the research presented in this paper suggest that ECT's uses of technology to teach mathematics may not be without complications. First, the teachers appeared to experience "device conflict", in that the type of device and its particular affordances and limitations were the primary factors that influenced their mathematics. This was particularly evident in the uses of fixed and mobile devices. The interactive whiteboard (IWB) did not pose pedagogical challenges to the ECTs as their stable location facilitated the opportunity to still use these devices in traditional teaching ways. However, tablets did pose a problem because of their mobility and the need to reconfigure the organisation and to some extent the roles of teacher and student. The second finding was that the teachers' mathematical knowledge for teaching appeared to be directly related to the ways they used their technology.

This article is a report on a longitudinal case study that investigated the problem of lowered engagement with mathematics and students' perspectives of the factors that influenced their engagement during the middle years of schooling. The article provides a synthesis of the entire study and a summary of its findings. In order to address the research question a group of 20 students from within the same school cohort participated in the study spanning three school years from their final year of primary school, to their second year of secondary school. Data was collected through interviews, focus group discussions, and classroom observations. A major finding of this study was that positive pedagogical relationships between teachers and their students must be developed as a foundation for sustained engagement.

The levels of engagement in mathematics experienced by students during the middle years of schooling (Years 5 to 8 in New South Wales) has been of concern in Australia for some years. Lowered engagement in school has been attributed to factors such as inappropriate teaching strategies, curricula that is unchallenging and irrelevant, and cultural and technological conditions that continue to evolve (Sullivan et al. "Australian Journal of Education 53"(2):176-191, 2009). There is currently a gap in this field of research in terms of a lack of longitudinal studies conducted in an Australian context that feature students' voices and their perceptions of mathematics teaching and learning during the middle years. As part of a qualitative longitudinal case study spanning 3 school years, 20 students in their final year of primary school (aged between 11 and 12 years) were asked to provide their views on mathematics teaching and learning. The aim of the study was to explore the students' perspectives of mathematics teaching and learning to discover pedagogies that engage the students. During focus group discussions and individual interviews the students discussed qualities of a "good" mathematics teacher and aspects of "good" lessons. These were found to resonate well with current Australian quality teaching frameworks. The findings of this study indicate that students in the middle years are critically aware of pedagogies that lead to engagement in mathematics, and existing standards and frameworks should be used as a starting point for quality teaching of mathematics.