Halving, and beyond

This article provides examples of the teaching of fractions, particularly halves.

Decimals and percent - walls, and clocks

The diagrams of fraction-walls, and beyond, may be useful aids for teaching those fascinating topics of fractions, and their cousins decimals and percentages.

Growth of pre-service teachers’ knowledge and teaching ideas about decimals and fractions : The case of Vivi

This paper discussed and analysed the growth of one pre-service teachers’ knowledge about decimals and fractions during a teaching experiment. Evidence of her progress is based on responses to written test and interview questions. This case shows with probing questions and appropriate teaching ideas, it is possible for a pre-service teacher with initially weak and fragmented knowledge about decimals and fractions to develop a meaningful knowledge about decimals and fractions. The stronger conceptual base provided by use of a concrete representation of decimals enabled Vivi to move away from reliance on memorised facts and rules and towards conceptually based explanations of ideas.

Adopting web-based learning and teaching: a case study in higher education

Most universities worldwide are becoming distance education providers through adopting web-based learning and teaching via the introduction of learning management systems that enable them to open their courses to both on- and off-campus students. Whether this is an effective introduction depends on factors that enable and impede the adoption of such systems and their related pedagogical strategies. This study examines such factors related to adopting a learning management system in a large multicampus urban Australian university. The research method used case study approaches and purposively selected the sample consisting of innovative teaching academics from across the university, who used web-based approaches to teach both on- and off-campus learners. The data were analyzed using a combination of Rogers' theory of diffusion of innovations and actor-network theory and revealed a series of enabling and impeding factors faced by pioneering technology-adopter teaching academics, some of which are technology related while others are policy related and common to large multicampus institutions. The study found that safe adoption environments recognizing career priorities of academics are a result of the continuous negotiation between the evolving institution and its innovative and creative staff. The article concludes with a series of conditions that would form a safe, enabling, and encouraging environment for technology-adopter teaching academics in a large multicampus higher education setting.

Fractions Versus VELS : Making sense and teaching richly

Fractions are different from other numbers: they need new ways of working - right? No. That’s a recipe for relying on unexplainable rote rules. Fraction calculations are sensibly based in properly understood whole-number operations. If we really know how to multiply and divide (and add and subtract) whole-numbers, doing the same kinds of things with fractions will be easy, and memorable. But how does this fit with VELS and Progression Points? What is the Fraction Curriculum, and how could we teach it?

Social networking and teaching : an Australian case study

In recent years, the Internet has impacted all aspects of modern society. We have now seen the phenomenon of social networking and the impact that this had upon all aspects of modern society including higher education. An issue is how can these social networking technologies relate to tertiary education and how can they be used in this educational context. This paper is based on two case studies which were conducted at an Australian University into the usage of two social networking systems in a teaching environment. The results of these case studies were assessed using a socio-technical framework.

A cross-national study of teaching and learning in primary science classrooms

This presentation reports on the methodological issues confronting an Australian-German-Taiwanese team planning comparative video ethnographic research into primary science classrooms. The issues that will be canvassed include: the benefits of cross-cultural comparisons in providing perspectives on local practice, the theoretical justifications of such comparisons, selection of cases for comparison and possibilities for claiming cultural representativeness, the planning of appropriate data sets, the different comparative stories offered by different analytical frames, practical issues of communication and data sharing, and issues of entanglement of language and culture in the analysis.