In this paper, we report on the cross-cultural comparative analysis that was undertaken as part of the Social Unit of Learning project investigating student collaborative problem solving in China and Australia. The video-based research examined the 'negotiative foci' of dyadic student interaction during collaborative problem solving within the…

In this article the authors overview how the recently revised (version 9) Australian Curriculum (Australian Curriculum Assessment and Reporting Authority, 2022) and student difficulties with fractions relate to five developmental Fraction Schemes developed from multiple research projects in the literature. The article shares research findings from…

Building from the evidence-based learning progression in geometric reasoning from the RMFII project, this paper presents data from students' solutions to three problems in geometry and measurement situations to identify key components needed to nurture reasoning. To show emerging analytical reasoning students must coordinate multiple pieces of…

Peter Dunn and Margaret Marshman present the second of their data files articles in which they discuss the statistical investigation cycle which describes the whole process of conducting a statistical research study. [For "The Data Files: A Series of Articles to Support Mathematics Teachers to Teach Statistics," see EJ1259108.]

Gap reasoning is an inappropriate strategy for comparing fractions. In this article, Patrick Sullivan and Joann Barnett look at the persistence of this misconception amongst students and the insights teachers can draw about students' reasoning.

By looking beyond their written products into what they do as they write, this mixed methods study offers insights into the writing process of writers who have mastered one language and those who have mastered two. It investigates the cognitive effects of bilingualism and biliteracy on the writing processes of years ten and eleven Sydney high…

Traditional teaching approaches are generally teacher-directed, where students are taught in a manner that is conducive to sitting and listening. It is often argued that these approaches may not provide students with valuable learning skills, and rather that non-traditional approaches to teaching and learning might better endow students with such…

A significant component of design pedagogy is the need to foster critical design thinking and to support students in understanding links between educational exercises and their potential application in professional design practice. Problem solving is central to design so it is also essential that students understand that there can be multiple…

Purpose: The purpose of this paper is to describe the design and delivery of a lesson study unit in mathematics to pre-service primary teachers and to identify the opportunities and challenges resulting from the need to deliver the unit wholly online due to the COVID-19 pandemic. Design/methodology/approach: Cross-case analysis, using a…

Interactive problem solving and learning are priorities in contemporary education, but these complex processes have proved difficult to research. This project addresses the question "How do we optimise social interaction for the promotion of learning in a mathematics classroom?" Employing the logic of multi-theoretic research design,…

In an experiment, secondary students from Australia and Malaysia (n = 130) were randomly assigned to one of three approaches (equation, unitary, unitary-pictorial) to learn how to solve challenging percentage-change problems. In line with the differential types of cognitive load associated with the three approaches, the unitary-approach group…

Two mechanisms for engaging in critical reflective dialogue are discussed and compared: face-to-face meetings and asynchronous online discussion. The context is an umbrella action research project, with over 20 participants, which aimed to improve practices in online teaching and contribute to the development of graduate attributes. The article…

This book focuses on integrity throughout the PhD journey and beyond, and is organised around two main themes: (1) integrity in relation to the capabilities developed by doctoral candidates for professional practice; and (2) integrity and coherence at the PhD system level. The working methods of key participants such as PhD candidates,…

For higher education graduates to be effective in the workplace, they require strong technical skills and the capability to operate across diverse knowledge landscapes to solve real world problems. At an Australian university, an interdisciplinary, short-term study tour programme was utilised to enhance students' inexplicit employability skills…

The aim of this study is to investigate whether the model method is effective to assist primary students to solve word problems. The model method not only provides students with an opportunity to interpret the problem by drawing the rectangular bar but also helps students to visually represent problem situations and relevant relationships on the…