Increasing access to mathematical thinking

The authors describe their current project that examines ways to maximise learning opportunities for students in upper primary and lower secondary mathematics classes. There are two aspects to the project: the type of tasks posed, and particularly ways to assist students experiencing difficulty with those tasks; and the steps that teachers can take to overcome structural barriers to mathematical learning by being explicit about classroom processes.

Making sense of difference? Teaching identities in postmodern contexts

How do teachers make sense of ethnic and classed differences? Frequently students from non-mainstream cultures and of lower socio-economic status are constructed in the literature and through practice as ‘deficit’ and consequently become marginalised. A range of short-term, ‘quick fix’ policy and curriculum approaches have aimed to address the ‘problems’ of those ‘othered’ from the mainstream due to their perceived difference. These have had little effect on improving educational results for students of specific ethnic and/or class backgrounds whose outcomes remain below the national average.

Poststructural theories offer opportunities to think about how teachers are positioned within discourses of identity. Our research (and others’) suggests the need for teachers to interrogate their assumptions about class and culture and how these are played out in their pedagogical relationships with students.

In this paper we report on a small research project that investigates the professional practices and personal beliefs of teachers. Empirical data from this study will build knowledge about how difference is constructed and diversity is ‘taken up’ by teachers as they engage with secondary students who have Language Backgrounds Other Than English and who are economically disadvantaged.

Faculty collaboration in teaching global business, MBA teaching process

This presentation stems from global business teaching and ongoing research of an interactive group of professors working together in the service delivery of online MBA education at University of Maryland University College . A model for collaborative teaching by delocated professors who literally span the globe – from Australia to Canada, including the United Kingdom, both coasts of the USA, China and Dubai - is offered, underscoring the enormous mobility of knowledge and knowledge workers. Working together as a collaborating team, it was found that the "whole is greater than the sum of the parts". The teachers became more than a teaching team, they became a collaborating operation as they worked together in the sharing and development of materials, insights and knowledge. The model demonstrates how the teaching of global business in an MBA environment is really an exercise in the management of global service operations.

Tackling trigonometry - up the slippery slope?

This paper challenges mathematics teachers to go back and re-examine ideas as far as possible from the genuine beginner's point of view rather than in terms of being experts on the subject. It suggests tasks that teachers can do to achieve this. Topics covered are the shock of the new, the best single short lesson on trigonometry, the difficulty of remembering not knowing, first student trigonometric steps (scouts and flagpoles), first human steps in trigonometry (examining the stars), rotation becomes number, showing relations and learning ideas, plus a lengthy discussion on trigonometry.

Mathematical thinking: a screening profile for 'operations'

This paper comments on and adapts the screening profile developed from 'ACER Mathematics Profile Series (MAPS): Operations' (1977). A sample screening profile worksheet for 'Operations' is provided. This adaptation of the ACER MAPS Operations test may help teachers identify students who are able to use more advanced levels of mathematical thinking. Survey results may help form ability groups, deliver special needs curriculum materials, and guide students tackling the algebra curriculum.

A diagnostic 'profile' for chance (probability)

This article presents a profiling tools for identifying students knowledge in chance.

A virtual environment for cultural and linguistic inclusivity teaching in a global environment

The Deakin University (Melbourne, Australia) operational policy on 'International and Culturally Inclusive Curricula' states that Deakin will incorporate international/intercultural perspectives and inclusive pedagogies into its courses in order to prepare all students to perform capably, ethically and sensitively in international, multicultural, professional and social contexts.

This paper is about a specific project to internationalise the teacher education curriculum through the use of Information and Communication Technologies (ICT). This project is scoped in the context of the UNESCO thrust of 'Education for All' in agreeing that inclusive societies begin with inclusive education practices. In our view current strategies have been insufficient to ensure that marginalized and excluded children receive access to their right to education.

The project aims to operationalise part of the UNESCO Dakar Framework for high quality learning environments by responding to ‘…the diverse needs and circumstances of learners and giving appropriate weight to the abilities, skills and knowledge they bring to the teaching and learning process’ by minimising language acquisition barriers that can otherwise impede effective communication and learning.

In addition, we need to be mindful of the marginalisation of people from non-English speaking backgrounds and therefore, in this initiative we use ICT to bridge the 'tyranny of distance' and offer a curriculum that values cultural and linguistic diversity.

In this paper we will discuss how we intend to develop these project principles. In particular we will indicate our plans to use relatively low cost, accessible software to develop a virtual environment where students can enter text in their native language, view foreign language text in their native language, hear text in their own language and automatically encode text into MP3 files and attach the files to messages.

Teaching in context : some implications for e-learning design

One of the major advantages of e-learning technologies is the expanded opportunities that they offer for when and where learning takes place. Until recently, little attention has been given to the implications that variation in the learner’s context creates for e-learning design. The context of learning with technologies is often considered quite narrowly, sometimes at the level of specific learning transactions, with limited acknowledgement of whether learners will be engaging with them on-campus, off-campus, across national boundaries or in some other contexts. While there are limitations to teachers’ control of contextual variation, their knowledge of the student cohorts to whom a particular unit of study will be offered provides some clear implications for choices to be made in relation to e-learning design. This paper illustrates these choices through the use of examples from e-learning showcase sites at two institutions. The examples are analysed within a selected theoretical framework to provide preliminary guidelines for accommodating contextual variation in elearning.

Teaching literacy in the new media age through the arts

Many school literacy practices often ignore youths' creativity in the 'new media age'. School curricula often do not acknowledge the range of skills adolescents acquire outside formal education. Youths' new multi- modal social and cultural practices - as they fashion themselves creatively in multiple modes as different kinds of people in 'New Times' - points to the liberating power of new technologies that embrace their imagination and creativity. In two middle years classes, adolescents' creativity was recognised and validated when they were encouraged to re-represent curricular knowledge through multi-modal design (New London Group 1996). The results suggest the changed classroom habitus produced new and emergent discursive and material practices where creativity emerges as capital in an economy of practice. Recommendations are put forth for schools to recognise adolescents' creativity - that often manifests itself through their cultural and social capital resources - as they integrate and adapt to the new affordances acquired through their out-of-school literacy practices.

Analysing online teaching and learning systems using MEAD

The review of literature pertaining to systems analysis and design and the design of systems for online teaching and learning has identified some “gaps” and has shown the need for a more specialised and specific method for the design of such systems. This paper presents research that was conducted to collect information to assist in the filling of the gaps of the systems analysis and design knowledge within Australia and also presents a method for the development of online teaching and learning systems. Currently design is done in an ad-hoc fashion with little formal input from the student users; this research aims to rectify this. The paper puts forwards an educational design approach based upon Soft Systems Methodology (SSM). The outcome of the research is a practical method – the Method for Educational Analysis and Design (MEAD).

‘Outsiders’ and ‘others’: ‘different’ teachers teaching in culturally diverse classrooms

This article draws on data from two separate qualitative research studies that investigated the experiences of Indigenous teachers and ethnic minority teachers in Australian schools. The data presented here were collected via in-depth individual semi-structured interviews with teachers in 2004 and 2005. Data analysis was informed by poststructuralist discourse theory and the data were examined for broad themes and recurring discourse patterns relevant to the projects’ foci. The article explores how teachers who are not from the Anglo-Celtic Australian ‘mainstream’ use their cultural knowledge and experiences as ‘other’ to develop deep understandings of ethnic minority and/or Indigenous students. I suggest that the teachers’ knowledge of ‘self’ in regards to ethnicity and/or Indigeneity and social class enables them to empathize with students of difference, to contextualize their students’ responses to schooling through understanding their out-of-school lives from perspectives not available to teachers from the dominant cultural majority. I raise in this paper a number of important implications for teacher education including the need to recruit and retain greater numbers of teachers of difference in schools, the need to acknowledge their potential to make valuable contributions to the education of minority students as well as their potential to act as cross-cultural mentors for their ‘mainstream’ colleagues.

Exploring creative music making as a vehicle for integrated teaching and learning

The arts have evolved with each society as a means of consolidating cultural and social identity and connecting past with future generations (Russell-Bowie, 2006, p3). Situating the arts within a broader interdisciplinary curriculum, we believe, allows students to discover and explore social issues and their relevance to students' contemporary lives. We argue that creative music making through composition promotes a deeper and more personally relevant teaching and learning experience for teacher education students, particularly when situated within an interdisciplinary framework.

The challenge for us as teacher educators' is to prepare pre-service teachers for both disciplinary and interdisciplinary learning as is required by the Victorian Essential Learning Standards (VELS). At Deakin University, in the Bachelor of Teaching (Primary/Secondary) Degree, the postgraduate unit called Humanities, Societies and Environments; Language and Music Education adopts an interdisciplinary pedagogy that encourages students to learn from each other, share content knowledge and make links between and across VELS domains.

In this paper we reflect on the possibilities exploring of creative music making to enhance the teaching and learning of social education, with particular reference to issues of environmental change. Specifically, we reflect on non-music specialist students' experiences in Semester 1, 2008 using Jeannie Baker's book Window (1991) as a platform to deliberate about the impact of urbanisation on the environment. Through dramatisation and a sonic environment students were able to both further conceptualise issues of social change and their understandings of the power of integrating music across other VELS domains.

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?

Analysing online teaching and learning systems using MEAD

The review of literature pertaining to systems analysis and design and the design of systems for online teaching and learning has identified some “gaps” and has shown the need for a more specialised and specific method for the design of such systems. This paper presents research that was conducted to collect information to assist in the filling of the gaps of the systems analysis and design knowledge within Australia and also presents a method for the development of online teaching and learning systems. Currently design is done in an ad-hoc fashion with little formal input from the student users; this research aims to rectify this. The paper puts forwards an educational design approach based upon Soft Systems Methodology (SSM). The outcome of the research is a practical method – the Method for Educational Analysis and Design (MEAD).