VELS versus CSF : replacement, conflict or harmony?

Sometimes VELS (Victorian Essential Learning Standards) is confusing. Part of the problem is that it is available only on-line as a web-browse-able collection of internet web pages. It is broadly true that the mathematics curriculum described by the Mathematics VELS is equivalent to curriculum described by the Mathematics CSF (Curriculum and Standards Framework).

Halving, and beyond

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

The graphic calculator as a thinking tool : perspectives from the classroom

For over a decade, the graphic calculator has been promoted not only as a computational tool, but also as a thinking tool - for example, as an aid to enhance conceptual understanding, as a problem-solving tool and as a means of enabling students to engage in meaningful investigations. However, research studies focusing on these aspects have shown mixed results and have mostly focused on graphs and functions.

This paper reports on one aspect of a case study in a year 10 mathematics classroom - the role of the graphic calculator as a thinking tool. Data from observations of nine statistics lessons and interviews with the teacher and five students, are analysed from three perspective's: the teacher's intentions with respect to the use of the graphic calculator as a tool to promote conceptual understanding as opposed to procedural competence; the opportunities afforded during the lessons for student investigation; and students' views of how the graphic calculator enhanced conceptual understanding.

The results provide insights into ways in which students perceive the graphic calculator as promoting conceptual understanding, as well as some of the difficulties encountered in practice in a classroom where the teacher clearly intends to use the graphic calculator as a thinking tool.

What is the on-campus experience? Engineering student study and work

Accreditation for off-campus engineering programmes has proven to be problematic. In Australia, off-campus programmes are compelled to contain mandatory residential sessions so that offcampus students can have an `on-campus experience'. This paper explores the nature of modern oncampus undergraduate engineering study, and finds that it now typically involves at least part-time employment and has more in common with off-campus study than the on-campus experience enjoyed by most of the current institutional (education and professional) administrators when they completed their undergraduate studies. Rather than ignore student term-time work, engineering programmes should use it to enhance the development of desirable graduate attributes.

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.

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?

Appearing pedagogy : from embodied learning and teaching to embodied pedagogy

In this paper images are used to support the conceptualisation and recognition of embodied pedagogy. Analysis of data gathered during an arts-based teaching project in pre-service teacher education revealed the presence of an embodied pedagogy and supports the further deployment of embodied teaching and learning in teacher education. Embodied pedagogy includes embodied teaching and embodied learning but is conceptualised through ‘pedagogy as relational’ – between teaching and learning and between teacher and learner. Through image this paper presents traces of embodied pedagogy from the classroom. These tracings of embodied pedagogy in classrooms defy baseline certainty and instead assert Benjamin’s thesis that knowledge can only ‘stand up’ through multiplicity, through all acts of knowing.