Gap reasoning is an inappropriate strategy for comparing fractions. In this article, Patrick Sullivan and Joann Barnett look at the persistence of this misconception amongst students and the insights teachers can draw about students' reasoning.

A deep understanding of fraction concepts and operations is necessary if pre-service teachers (PSTs) are to present the concepts in multiple forms to learners. Such an understanding needs to be grounded in rich conceptual knowledge. In the present study, we explore the development of this understanding by supporting a cohort of 103 PSTs, who had…

The learning sequence described in this article was developed to provide students with a demonstration of the development of box plots from authentic data as an illustration of the advantages gained from using multiple forms of data representation. The sequence follows an authentic process that starts with a problem to which data representations…

This volume brings together research carried out in a variety of geographic and linguistic contexts including Africa, Asia, Australia, Canada, the Caribbean, Europe and the United States and explores efforts to incorporate linguistic diversity into education and to "harness" this diversity for learners' benefit. It challenges the largely…

This article examines the findings of a research program that investigated primary school mathematics teaching by graduates of the teacher education program at the University of Technology Sydney. The research comprised two distinct studies, one examining the experiences of student teachers in our teacher education program and the other…

As countries become increasingly interdependent, student populations in the United States are becoming more culturally diverse. These students' transnational perspectives present significant challenges to teachers, but a disconnect exists between the skills teachers need and those provided to them by colleges of education. As teacher preparation…

With research consistently showing that students can be motivated to learn with ICT, this case study sought to investigate Year 7 students' learning about simple machines in an ICT-enhanced environment where they could self-direct their own learning with minimal intervention from the teacher. The study is focused on how well do students and…

In the early nineteenth century, governments began to develop specialized educational programs--kindergartens and infant or nursery schools--to give children a head start in life. These programs hinged on new visions of childhood that originated in England and Europe, but what happened when they were transported to the colonies? This book unwinds…

One of the significant issues in vocational education and training is student pathways and how students use them to achieve their personal goals. These "pathways" can be within or across sectors, as well as into and out of paid work. This study focuses on the pathways--to and fro--between vocational education and training (VET) and…

This paper reviews the literature on the use of intensive teaching formats in the tertiary sector. The paper begins with a summary of recent changes in higher education which have led to the consideration of intensive teaching as a mode of learning. The paper then addresses two principal issues: the advantages and disadvantages of intensive…

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…

Many reasons can be offered for teaching about Australia. The field of Australian studies offers many opportunities for U.S. teachers and students to critically analyze aspects of their own culture, for there are many experiences in the history of Australia that parallel the U.S. experience. Australia and the United States have strong ongoing…

Performance assessment is the assessment of students engaged in an activity. It is the on-the-spot evaluation of a performance, behavior, or interaction. Ordinarily, there is no concrete product that can be judged at a later date. In Developmental Assessment, teachers monitor student progress against a preconstructed map of developing skills,…

In the Australian higher education scene the importance of recognizing effective teaching is gaining increasing prominence. Issues of academic accountability and the increasing scarcity of financial resources for higher education have added pressure to the debate about what constitutes quality in higher education. Central to this debate is the…

This monograph explores some of the explanations commonly proffered to justify the existing pattern of academic women's employment in Australian universities. The research, data, and explanations in this monograph address the university area of the higher education sector only. It examines the adequacy of some of the explanations given for women's…