Developing critical numeracy is important in a society where mathematics plays a particular and significant role. One way of helping learners to develop the level of numeracy required to participate in society is by exploring ideas embedded in rich, accessible tasks. These can be linked to contexts that have relevance in their lives. One…

The derivative of a composite function, taken with the chain rule is one of the important notions in calculus. This paper describes a study conducted in Turkey that shows that the chain rule was given with the formula in function notation and/or the Leibniz notation without relating these formulas to life-related problem situations in the…

In two experiments, the principles of cognitive load theory were applied to the design of alternatives to conventional music instruction hypothesised to facilitate learning. Experiment 1 demonstrated that spatial integration of visual text and musical notation, and dual-modal delivery of auditory text and musical notation, were superior to the…

Examined whether preschool children focus on a small number of attributes or attend to whole exemplars in learning basic categories for fictitious animals. Found little evidence that children employed rules, but found strong evidence that children encoded exemplars as integrated wholes during category training. Discusses implications for theories…

Presents results from an Australian study examining whether children who use cognitive strategies in solving simple addition questions develop greater proficiency in addition than children who do not use such strategies. Describes the subjects, instruments, procedure, and instructional treatment. Concludes that the development of cognitive…

An Australian comparison study of 26 children (mean age=10) with mild intellectual disabilities, 26 typical children of approximately the same mental age, and 26 children of approximately the same chronological age, found no mean differences on problem-solving abilities between the children with intellectual disabilities and children of comparable…

Described is a collaborative study between a Year 11 physics teacher and 3 university personnel designed to identify and document the manner in which content knowledge was transmitted in the classroom by the teacher and how this knowledge was acquired by students. The role of the textbook is discussed. (KR)

Observed behaviors of 37 female and 23 male Australian preschoolers. Found that only 20% engaged in thematic pretend play (linked to perspective taking, language development, impulse control, divergent problem solving) whereas 24% used cooperative social play (linked to divergent problem solving). Results suggest need for assistance in the…

Analysis of statements by 869 students and 21 faculty at Queensland University of Technology (Australia) concerning learning, using the SOLO (structure of observed learning outcomes) Taxonomy, identified key concepts in learning in eight categories: learning definitions; factors influencing learning; learning strategies; learning styles; aspects…

Discussed are the philosophy and procedures behind the introduction of algebra to students in grade 7 in Australia. Included are the importance of concrete experiences, language development, and the consequences involved in this procedure. (CW)

The Mathematics Education Research Group of Australia (MERGA) was officially constituted in 1980. In 1984, MERGA produced the first review of the mathematics education research carried out in that region. This book is the third in that series of research reviews. An overview provides the context in which the Australian research was conducted and…

This book is the result of the accumulated research of five researchers from the United States and Australia on a school in Coastal Australia. The research team shared a constructivist epistemology and interpreted the qualitative and quantitative data collected over a 10-week period in two classrooms from that perspective. Each chapter discusses…

Children's (n=70) solution strategies to a variety of multiplication and division word problems were analyzed to determine performance levels and strategies used. Solution strategies were classified at three levels: direct modeling with counting; no direct modeling with counting, additive, or subtractive strategies; and use of known derived facts.…

Examined Australian year-10 students (n=110) for the effects of an instructional sequence in physics on their subsequent physics achievement and their perceived value of instruction aimed at conceptual change in year 11. An appendix outlines the year-10 instruction. (Contains 24 references.) (MDH)

One of the clear findings of recent research on the learning of science has been that students who have completed science courses commonly use conceptions held before instruction to interpret natural phenomena. This paper reports on a study of conceptual change in mechanics with particular concern with the nature of student awareness of any…