This paper investigates the expectations that a group of preservice secondary mathematics teachers had for how students would approach four particular algebra problems. Their responses to a set of open-ended items were content analysed. Findings show that the teachers ranged in the expectations that they held for their students. Some teachers…

Solving chemical problems entails content knowledge and mastery of problem-solving processes. However, students sometimes lack metacognitive processes required for problem solving in chemistry. This study investigated how first-year chemistry students engaged with the metacognitive problem-solving scaffold Goldilocks Help. Data was collected from…

Interdisciplinary complex problem-solving relies on psychologically safe teamwork where individuals feel confident to speak up with unique knowledge, or voice dissent. Existing studies on psychological safety (PS) have mainly concentrated on developing diagnostic tools and categorising the antecedents to psychologically safe interactions in…

Universities worldwide play a pivotal role in shaping the future workforce by equipping students with the skills, knowledge, and attitude required to thrive in an ever-evolving job market. "Transformative Approaches to Career-Ready Education" addresses the critical challenge of aligning higher education with modern industry and national…

The current paper overviews a nine-month PhD study that investigated the impact of learning mathematics through sequences of challenging tasks on the mathematical competence and attitudes of Year 2 students (n = 59). Adopting a Self-Determination Theory lens, a pragmatist paradigm and a mixed-method design, the study found that at all levels of…

In Victoria, Australia, senior secondary mathematics students are expected to use technology and thus need to make decisions about using pen-and-paper (P&P) or technology when solving mathematics problems. The predominant technology is a Computer Algebra System (CAS). This study investigated the beliefs about CAS held by twelve Year 11…

Number fact knowledge spans far beyond conventional automatic mastery practices involving rote learning. Having the ability to automatically recall number facts fluently does not mean students will have strong conceptual understanding. This article provides suggestions for how number fact thinking and fluency might be developed in primary…

Problem solving and reasoning are two key components of becoming numerate. Reports obtained from international assessments show that Australian students' problem solving ability is in a long-term decline. There is little evidence that teachers are embracing problem solving as part of the classroom routine. In this study, we analyse 598 Year 7 to…

Government guidelines are demanding greater educational outcomes and intentional teaching in Australian preschools. The purpose of this paper is to present the results of a study of how children incorporate concepts into child-initiated play. A cohort of 18 children (aged 3.0-5.8, mean age of 4.8) were digitally observed over seven weeks…

Despite curriculum expectations, many students, including a disproportionate number of girls, do not 'just know' (retrieve) single-digit addition facts by Year 3. The current study employed structured interviews to explore which strategies Year 3/4 students (n = 166) used when solving more difficult addition combinations. Results revealed that…

In this article, the authors explore how the 3C Model can be used to integrate other curriculum areas with mathematics, namely digital technologies. To illustrate the model, they provide a practical example of a teaching sequence. T he 3C Model is designed to create opportunities for applying reasoning and problem-solving skills and learning…

Purpose: Problem-based learning (PBL) promotes student-centered, active learning and has been applied in many health disciplines, including speech-language pathology (SLP). There is some SLP literature outlining how PBL has been applied and its components, however, how PBL is applied across SLP programs worldwide is yet to be explored. We…

Network analysis is a topic in secondary mathematics education of growing importance because it offers students an opportunity to understand how to model and solve many authentic technology and engineering problems. However, very little is known about how students make sense of the algorithms typically used in network analysis. In this study, I…

The purpose of this study was to further address the "for whom" in the question of the effectiveness of modified schema-based instruction (MSBI) to teach mathematical problem solving to students with intellectual and developmental disability by evaluating whether positive outcomes from prior research would be replicated with elementary…

Curriculum change affords middle leaders opportunities for pedagogical and planning renewal. This paper reports case studies of two schools engaged in preparing for implementation of Version 9 of the Australian Curriculum: Mathematics. Drawing on interview data from a middle leader from each school, Bacchi's question, "What's the problem…