The multi-faceted nature of mathematics knowledge for teaching, including pedagogical content knowledge (PCK), has been studied widely in elementary classrooms, but little research has focused on senior secondary mathematics teaching. This study utilised the Knowledge Quartet (Rowland et al., "Research in Mathematics Education," 17(2),…

This qualitative survey study set out to investigate in-service and pre-service primary school teachers' perceived barriers to and enablers for the integration of children's literature in mathematics teaching and learning in an Australian educational context. While research over the past three decades have documented pedagogical benefits of…

In March 2020, COVID-19 restrictions required our university courses to be offered in online mode only. This quick transition meant that lecturers were suddenly tasked with adapting their classroom-based teaching approaches and materials to the online space. For mathematics teacher educators (MTEs), whose on-campus classes were characterized by…

Providing opportunities for students to demonstrate their mathematical thinking can be challenging. This paper reports on a case study conducted with a teacher and her class of Grade 3/4 students which investigated this phenomenon. Following collection of baseline data that showed her students were not demonstrating evidence of mathematical…

In this study, we aim to investigate the role of language in small group peer collaboration. Based on the notion of symmetrical scaffolding, we draw on theories of dialogic space and functional linguistics to analyse a transcript of three six-year-old students as they explore a shared understanding of 'two more than'. Using Martin and White's…

Pedagogical Content Knowledge (PCK) is a powerful construct for examining the complexity of teacher knowledge. Together with teachers' moment-by-moment choices of action, it provides insight into teachers' knowledge and its influence on student learning. This paper investigates the PCK experienced by a senior secondary mathematics class during a…

Mathematical inquiry is an approach whereby students respond to ill-structured, open-ended questions that reflect the authentic problems we encounter in 'real' life (Allmond, Wells & Makar, 2010). An open-ended ill-structured question has no single correct answer and often contains ambiguities in the problem that require students to make a…

According to international studies of achievement in mathematics amongst Australian secondary school students, results have declined over time when compared with other countries. The National Assessment Program -- Literacy and Numeracy (NAPLAN) is an Australian government initiative to measure whether students have the knowledge, understanding,…

To facilitate the professional learning of teachers and bring about changes in pedagogical practices, it is necessary to understand the process by which teachers grow professionally. Professional growth can be achieved when teachers work together to engage in professional experimentation and see results in terms of salient outcomes for their…

This article provides examples of teachable moments that are based on mathematical teaching episodes that the authors have either taught or observed, followed by discussions on how teachers might respond to these moments. It is hoped that this article may act as a stimulus for collaborative professional conversations as to whether or not teachable…

Teaching senior secondary mathematics presents a number of challenges, such as provision of a prescribed curriculum, homework expectations and preparing students for externally imposed high-stakes assessment tasks. In order to address these challenges, an increasing number of senior secondary mathematics teachers are incorporating a flipped…

Productive struggle leads to productive classrooms where students work on complex problems, are encouraged to take risks, can struggle and fail yet still feel good about working on hard problems (Boaler, 2016). Teachers can foster a classroom culture that values and promotes productive struggle by providing students with challenging tasks. These…

The concept of flipping the classroom and flipped learning is becoming increasingly more popular in secondary schools. Although more prevalent in tertiary teaching, flipped learning has a number of affordances that may address the challenging demands of teaching secondary mathematics. While enactments of the approach vary, flipped learning…

The COVID-19 pandemic has significantly impacted on schools globally with closures and the implementation of online learning (UNESCO, 2020). This rapid shift has resulted in a significant change to traditional modes of delivery, including classroom teaching and professional learning opportunities for teachers, as well as thinking differently about…

National testing and reform agendas, with their focus on school improvement, has led to increased collection and scrutiny of student data. The analysis of these data usually occurs at a school level, often by school leaders. What is less common is the opportunity for students to scrutinise their individual data and take ownership over the results…