This paper describes a study in which we investigated relationships between defining mathematical concepts--increasing and decreasing infinite sequences--explaining their meanings and classifying consistently with formal definitions. We explored the effect of defining, explaining or studying a definition on subsequent classification, and the…

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…

The paper presents and analyses a sequence of events that preceded an insight solution to a challenging problem in the context of numerical sequences. A three­week long solution process by a pair of ninth­-grade students is analysed by means of the theory of shifts of attention. The goal for this article is to reveal the potential of this theory…

Sarah Black wanted to remedy Year 9's lack of knowledge about nineteenth-century politics. With just five lessons to work with, she decided to devise a sequence on Gladstone and Disraeli, shaping the sequence with an enquiry question that invited argument about change and continuity. Black analyses the status and function of different layers of…

Adventure-based learning (ABL) consists of highly structured physical activity with periods of reflection (i.e., debrief) that help promote personal and social development. It can be used as a valid curriculum in physical education to promote intrapersonal and interpersonal relationships. This type of curriculum can also help physical educators…

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…

Edwin Gordon took the sequential levels of learning outlined by Gagne and adapted them to audiation (the ability to hear music for which the sound is not physically present) and musical learning. His method of teaching music is discussed. (RM)