The purpose of this article is to present and discuss two recommended sequences of learning the areas of polygons, starting from the area of a rectangle. Exploring the algebraic derivations of the two sequences reveals that both are valid teaching progressions for introducing the area formula for various polygons. Further, it is suggested that…

This paper aims to contribute to on-going discussion about the teaching and learning strategies used in effective outdoor education programmes. A naturalistic inquiry was conducted with two schools that participated in 28-day outdoor education programmes facilitated by the same outdoor provider in Australia. Data were collected through five…

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?

This article describes part of a study in which researchers designed lesson sequences based around using a string number line to help teachers support children's development of relative thinking and understanding of linear scale. In the first year of the study, eight teachers of Years 3-5 participated in four one-day professional development…

An invitation to be part of a small research project with science teacher educators focusing on the Australian Curriculum--Science as a Human Endeavour strand provided an opportunity for professional learning in science for an early career teacher working with Year 1-2 students. This article explores how the use of students' photography of local…

Throughout the time of my teaching career, the tide has exposed changes in the nature of music, students and music education. This paper discusses teaching and learning in contemporary music at seven critical stages of 21st century music education: i) diverse types of undergraduate learners; ii) teaching traditional classical repertoire and skills…

As an alternative to looking solely at linear functions, a three-lesson learning progression developed for Year 6 students that incorporates triangular numbers to develop children's algebraic thinking is described and evaluated.

This paper reports on a study that investigated the ways that young children interact with discrete programmable digital toys in a free play setting. One intention was to see whether this interaction would address some of the requirements of the Digital Technologies subject in the Australian Curriculum. The study was implemented in two phases in…

Find out how to use photographic images to support the conceptual development of proportional thinking. This paper provides insight into a sequenced activity that promotes student engagement and makes links to familiar and unfamiliar contexts.

This case study focuses on generalist primary (elementary) school teachers teaching music in an Australian school. With the onus for teaching music moving away from the specialist music teacher to the generalist classroom teacher, this case study adds to a growing body of literature focusing on generalist primary school teachers and music…

This article promotes the use of mathematically appropriate, engaging and challenging tasks to support learning that is worthwhile. The authors share insights from a three-lesson design experiment and the three tasks along with the results from their implementation are explored.

In this paper, the five interlocking de Bono LAMS sequences are introduced as a new form of generic template designs. This transdisciplinary knowledge-mobilising strategy is based on Edward de Bono's attention-directing ideas and thinking skills, commonly known as the CoRT tools. The development of the de Bono LAMS sequence series is an important…

When subgoal location was appropriate to the serial pattern, subjects were likely to use a strategy resulting in enhanced rule induction and transfer with increased subgoal density. When subgoal location was not appropriate, subjects tended to use a strategy resulting in considerably reduced role induction and transfer. (Author/PN)

Mastery learning techniques were improved through mathematics instruction based on a validated learning hierarchy, presenting tasks in a sequence consistent with the requirements of the hierarchy, and requiring learners to demonstrate achievement before being allowed to proceed. (Author/GDC)

Describes study of elementary school children in Australia which was designed to determine their sequential knowledge of measuring length and to apply recent cognitive theories to predict the sequence of development of knowledge. Recent literature is reviewed, information processing skills are discussed, and skills required for measuring length…