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…

This article provides an example of the implementation of school-wide professional learning as part of an Australian Research Council grant and the Catholic Schools Parramatta Diocese (CSPD) called Exploring Mathematical Sequences of Connected, Cumulative and Challenging Tasks (EMC[superscript 3] ) (Sullivan et al., 2021). By using sequences of…

This paper argues for effective sequencing of mathematics content to aid transition from junior (Year 7 to Year 10) to senior mathematics (Year 11 to Year 12) curriculum in Queensland, Australia and provides a tool for sequencing the mathematics content. Planning templates and samples are available to schools; however, it is imperative for…

The importance of multiplicative thinking in supporting students' learning of key topics and success in further mathematics is widely and clearly stated in mathematics education literature. However, multiplicative thinking is not clearly stated in curriculum documents of many countries including Australia. In the "Australian Curriculum:…

The purpose of this study is to investigate the process of students' construction of scientific explanations through drawing explanatory diagrams. For this, we observed fifth and sixth graders' drawing processes in a gifted science class involving learning physics concepts in mechanics. The analysis was carried out on three pictorial…

This study investigated the effectiveness of using a sequence of worked examples as part of the feedback cycle. Worked examples were either presented as full worked examples or partial worked examples (single-step and completion formats). In two experiments, grade 8 students completed a learning phase on a mathematics topic, which was immediately…

This paper discusses the results of an anonymous survey completed by 239 Australian piano teachers in relation to the teaching materials and practices used by teachers with piano students aged 12-17, older beginners. The survey, which is part of a broader study investigating constructivism in music education, explores teacher choices and opinions…

We are pleased to bring you this follow-up to Mairéad Hourigan and Aisling Leavy's article [EJ1289314] that was published in issue 1 this year. In this contribution, they demonstrate that embedding mathematics within a rich context and learning sequence assists with the consolidation of student understanding and makes more effective use of teacher…

Southern Cross University (SCU) educators and local teachers have developed a five-lesson instructional sequence built around fluke identification as a way of resolving the question: How fast do humpback whales travel up the east coast of Australia?

Against a backdrop of advocacy for interdisciplinary STEM curricula, this paper explores the design principles underpinning a three-year longitudinal research project that develops and evaluates interdisciplinary mathematics and science learning sequences involving multiple teachers and student cohorts across the primary school years. The research…

The concept of variability is central to statistics. In this research report, we review mathematics education research on variability and, based on that review and on feedback from an expert panel, propose a learning progression (LP) for variability. The structure of the proposed LP consists of 5 levels of sophistication in understanding…

Marking-criteria rubrics are commonly used to judge the quality of student work, but few students receive instruction to effectively use and apply rubrics. This study investigates an intervention designed to encourage effective utilisation of rubrics. The study, completed over two years (2011: n = 189 respondents; 2012: n = 464 respondents) in a…

This article illustrates an enhancement and lesson-delivery process used to engage classroom students in primary school science lessons. In the enhancement process, university educators and pre-service teachers collaborated with local experts to prepare lessons based in local or regional contexts. Lessons were designed to enable students to think…

Developing pre-service teachers' (PSTs') knowledge of pedagogical practices can be particularly challenging within university classrooms. Teacher educators are well placed to provide PSTs with theoretical perspectives on pedagogical practices; what is particularly challenging, however, is linking theory with practice and developing PSTs' breadth…

A number of different models have been developed to integrate both Vocational Education and Training (VET) and university study with a view to producing work-ready graduates. This paper describes one joint initiative which allows students to integrate their theoretical study and work-integrated learning (WIL) experience by supporting a sequential,…