Factors influencing mathematics and science teachers' self-assessment as teaching 'out-of-field' in rural and regional schools

Teaching 'out-of-field' occurs when teachers teach a subject for which they have no disciplinary or methods qualification. The incidence of out-of-field mathematics, science and technology teaching are particularly high in rural and regional areas. Given that mathematics and science are key areas of policy concern, there is an urgent need to understand teachers‟ position in this increasingly common practice in order to provide appropriate system responses. This paper asks the question, how are mathematics and science teachers‟ professional identities influenced by having to teach out-of-field? Twenty teachers who had taught science or mathematics at some time in their career, two school leaders, and two support staff, took part in semi-structured interviews, which I then transcribed. This paper reports on a thematic analysis of a subset of the data that isolated factors influencing teachers‟ self-assessment of themselves as out-of-field or in-field. Excerpts from the interviews are used to introduce and contextualise these factors within rural and regional settings. These factors are used to generate a theoretical model, the Boundary Between Fields (BBF) Model, that enables analysis of the impact of these factors on identity construction during a boundary crossing event. The Model highlights the influence of support mechanisms, contextual factors and personal resources on the nature of teachers‟ negotiation of subject boundaries and its impact on professional identity. This innovative model provides a platform for re-conceptualising these experiences as opportunities for professional learning occurring within schools as communities of practice, where teachers are supported and enabled to expand their professional identity. These findings provide insight for policy-makers, school leaders and teacher educators, into the complexity of the issue for teachers, as well as the conditions required for such teaching to be considered learning opportunities.

Multi-dimensional assessment of student capabilities in mathematics and science

This study investigated relationships between students’ understanding, performance, and disposition in mathematics and science. The results indicated that assessments should be used to promote all aspects of student capability. Separate frameworks of student capability in mathematics and science need to be created to capture the individual nuances within each subject.

Subject matters of science, technology, mathematics and engineering

This chapter offers a critical review of curriculum in the STEM disciplines, overviewing contemporary context and issues around the STEM acronym as a contested space, issues of inquiry, social justice, current concerns with student engagement and their history, theoretical perspectives on teaching and learning in these disciplines, and key forms and foci of inquiry into STEM curriculum.

Teaching and learning mathematics and science in a second or third language

 This study investigates the interaction between languages used for particular purposes in mathematics and science classrooms and the accompanying multimodal resources that support teachers’ strategies. The dual investigation sets this study apart, and produces its originality and contribution to the field. It develops a novel multimodal description of pedagogic strategies in multilingual mathematics and science classrooms in Malaysia.

Online professional learning for rural teachers of mathematics and science

Professional learning is crucial for the ongoing development of teachers and the improvement of student outcomes. Professional learning in mathematics and science education has the potential to address concerns about shortages in these areas and their impact on economic growth. However, attendance at face-to-face professional learning is problematic for many teachers located in rural areas. This study explores the utilisation of online professional learning in mathematics and science education by teachers in rural areas, and canvasses teachers’ requirements for this form of professional learning. An activity system, using cultural-historical activity theory, is developed for online professional learning for teachers of mathematics and/or science. Qualitative interpretive analysis of transcripts of 14 semi-structured individual interviews with three different groups of people suggests that teachers of mathematics/science require professional learning programs which are not only flexibly delivered but also provide professional learning content that has high utility value. By better understanding how teachers respond to the notion and practice of online professional learning, informed decisions can be made about how best to support teachers and thus build capacity in schools for success in mathematics and science.

Teachers and computers for secondary mathematics

In the first stage of a three-year study in which the effects of using computers for the teaching and learning of mathematics are being explored, a questionnaire was developed and administered to teachers of students in grades 7–10 in a representative sample of co-educational post-primary schools in Victoria, Australia. Using open and closed response formats, the information sought included data on the teachers' professional backgrounds, computer ownership and use, and their beliefs and practices in using computers for the teaching of mathematics. In this article, findings related to ownership, professional development, perceptions of technological skills, beliefs about the efficacy of computer use in mathematics, and data on how teachers are using computers for teaching secondary mathematics are presented and discussed.

Easier analysis and better reporting : modelling ordinal data in mathematics education research

This article presents an examination of the use of Rasch modelling in a major research project, 'Improving Middle Years Mathematics and Science' (IMYMS). It is unarguable that it is important to take students' perceptions, or views, into account when planning learning and teaching for them. The IMYMS student perceptions survey is an attempt to make visible these student viewpoints, and report them in a way that is accessible to teachers and researchers involved in the project. The project involves four clusters of schools from urban and regions of Victoria to investigate the role of mathematics and science knowledge and subject cultures in mediating change processes in the middle years of schooling. There are five secondary and twenty-eight primary schools. The project has generated both qualitative and quantitative data, with much of the qualitative data being ordinal in nature. Reporting the results of analyses for a range of audiences necessitates careful, well-designed report formats. Some useful new report formats based on Rasch modeling -the Modified Variable Map, the Ordinal Map, the Threshold Map, and the Annotated Ordinal Map - are illustrated using data from the IMYMS project. The Rasch analysis and the derived reporting formats avoid the pitfalls that exist when working with ordinal data and provide insights into the respondents' views about their experiences in schools unavailable by other approaches.

Objective assessment of pilling of nonwoven fabrics using the two dimensional discrete wavelet transform

Fabric pilling is a serious problem for the apparel industry, causing an unsightly appearance and premature wear. Woolen products are particularly prone to pilling. Recently, a process for production of woolen nonwoven apparel fabrics has been commercialized in Australia, and may lead to new markets for Australian wool. However, the success of such nonwoven fabrics will partly rely on their propensity to pill. A key element in the control of fabric pilling is the evaluation of resistance to pilling by testing. Resistance to pilling is normally tested in the laboratory by processes that simulate accelerated wear, followed by a manual assessment of the degree of pilling by an expert based on a visual comparison of the sample to a set of test images. To bring more objectivity into the pilling rating process, a number of automated systems based on image analysis have been developed. The authors previously proposed a new method of image analysis based on the two-dimensional discrete wavelet transform to objectively measure the pilling intensity for woven fabrics. This paper presents preliminary work in extending this method to nonwoven fabrics.