Background: To support collaborative drawing, it is essential to investigate how students make collaborative drawings and how these contribute to elaborating their ideas. This study examines how 5th and 6th grade students' group drawings contributed to increased levels of explanations of their drawings about sound transmission. Methods: We…

Big ideas, sometimes referred to as key, core, fundamental or threshold concepts, are widely applicable concepts at the heart of disciplines that are or have been central and influential for their fields. Attention here is particularly directed to meta-concepts common to sister disciplines in the sciences. "Learning thresholds",…

This article explores pedagogical renewal through an analysis of vignettes from four international pre-service teachers in an initial teacher education programme at an Australian university where learner-centred practices are prioritised. To understand their pedagogical journeys during their course, data was collected through a series of questions…

The authors share the results of a research project involving the use of mathematics to develop students' Numeracy General Capabilities. The current article delves into an example of a teacher supporting 'good habits of mind' through focussing on the Critical Learning Disposition of accuracy.

Australia-wide consensus was reached on seven core concepts of physiology, which included homeostasis, a fundamental concept for students to understand as they develop their basic knowledge of physiological regulatory mechanisms. The term homeostasis is most commonly used to describe how the internal environment of mammalian systems maintains…

Few would argue the value of learning progressions in providing useful structures for selecting and sequencing in a developmental manner the key components of an 'intended curriculum'. Yet, there are pervading issues around what is meant by a developmental sequence, along with how they are used to assess what learners know, understand and can do.…

Hemolytic disease of the newborn (HDN) is a potentially fatal condition caused by a Rhesus (Rh) antigen incompatibility between a mother and fetus. As a result, determining the Rh status of expectant parents is a routine clinical assessment. Both the physiological and immunological basis of this condition are taught to undergraduate students. At…

In recent years, attention has turned to the development of evidenced-based learning progressions/trajectories as a means of identifying the likely paths learners might take in developing a deep, well-connected understanding of key aspects of mathematics. However, the extent to which this work influences what happens in mathematics classrooms…

Statistical terms are used in everyday language and, at times, used in non-statistical ways. It is often assumed students understand statistical terms because of their common use; however, research into their understanding of specific statistical terms is scant. This report focuses on 58 Year 3 students' responses to the basic question, "What…

This position paper proposes that a relationship between young children's embodied mathematical concepts and their awareness of mathematical pattern and structure (AMPS) (Mulligan & Mitchelmore, 2009) develops through play. Theoretical perspectives on the development of schematic patterns, the embodiment of mathematical understandings, and the…

Multiplicative thinking is accepted as a "big idea" of mathematics that underpins important mathematical concepts such as fraction understanding, proportional reasoning, and algebraic thinking. It is characterised by understandings such as the multiplicative relationship between places in the number system, basic and extended number…

The concept of limit is the foundation for many concepts such as the derivative and the integral in advanced mathematics. The limit concept has been a research topic in mathematics education for years and in the literature it is a broadly accepted fact that the limit is a difficult notion for most students. The study presented in this article is a…

This research investigated the viability of learning by self-managing split-attention worked examples as an alternative to learning by studying instructor-managed integrated worked examples. Secondary school students learning properties of angles on parallel lines were taught to integrate spatially separated text and diagrammatic information by…

The operation of means-ends analysis (MEA) involves attempts at reducing differences between problem states and the goal state. It was paradoxically found that the more problem solvers knew of the goal state, the less they learned of the problem structure during the solution process. (PN)

Examined students' conceptualizations of learning with 519 Australian, Indonesian, and South African undergraduate and graduate students using the Reflections on Learning Inventory. Analysis did not support a single, clearly defined empirical model of conceptions of learning and associated constructs. Instead, there was consistent evidence that…