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.

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.

Characterising secondary school teacher imperatives as subject (signature) pedagogies : a pedagogy of support in maths and a pedagogy of engagement in science

The ideas of Lee Shulman have played a major role in reconceptualising pedagogical description. In 2005, Shulman described a construct called “signature pedagogies” in order to describe recognisable and distinctive pedagogies used to prepare future practitioners for their profession. As a broader application of Shulman’s ideas, this paper asks, what is the efficacy of describing pedagogies that have become entrenched in secondary school subjects as signature pedagogies? Approached from a cultural perspective these questions are examined by comparing the subject cultures of junior school maths and science as experienced by, and represented in the classrooms of, a small number of teachers from two secondary schools in Victoria, Australia. In this research, subject culture is underpinned by shared basic assumptions that govern the dominance of certain “subject paradigms” (what should be taught) and “subject pedagogies” (how this should be taught) (Ball & Lacey, 1980). In this secondary school setting, the term signature pedagogies can be equated to the term subject pedagogies on the basis that both aim to characterise practice across the subject, or discipline, based on what was perceived as central to the task of teaching and learning. The paper draws on classroom observation and teacher interview data to show how six teachers positioned two aspects of their teaching in relation to what they believed was central in shaping their maths and science teaching: the effect of the arrangement of curriculum content on teachers’ conceptualisations of the teaching task; and a pedagogical imperative to engage students through activity-based learning experiences. The cultural expectations surrounding these two aspects of teaching appear to have a strong influence on practice, and in some senses teachers’ pedagogical responses were clear. These common responses are what I am calling “subject pedagogies” (see Ball & Lacey, 1980) because there was general agreement about what was central to the teaching task. Two subject pedagogies were seen to represent strong discourses occurring in both subjects: a “Pedagogy of Support” in maths, and “Pedagogy of Engagement” in science. Their established and shared character resembled Shulman’s posited “signature pedagogies” (Shulman, 2005). The data shows that by evaluating cultural practices that teachers have in common, and assumptions underpinning these, there is potential for highlighting imbalances, strengths and weaknesses, and connections and disconnections, associated with prevailing subject pedagogies.

The making of modern scientific personae: the scientist as a moral person? Emil Du Bois-Reymond and his friends

This article examines the notion of the 'scientist as a moral person' in the light of the early stages of the commodification of science and the transformation of research into a big enterprise, operating on the principle of the division of labour. These processes were set in train at the end of the 19th century. The article focuses on the concomitant changes in the public persona and the habitus of scientific entrepreneurs. I begin by showing the significance of the professional networks that were built up and maintained to further a group's research ideas and the careers of its members, thus demonstrating one condition on which depended their practice of science and their ability to earn a living. This leads to a characterization of the changing styles of work, thought and life, and to a consideration of public perceptions and of the ways in which a new self-image of scholarship and science was fashioned. A critical discussion of the public role of these mandarin scientists follows in order to highlight the strains created by the commodification of science at a time of international tensions and conflicts, when shared beliefs in scholarly cosmopolitanism were subverted by appeals to science and scholarship to work in the service of one's own nation as its 'courtiers'. Various considerations of peculiar analogies between national styles of research and the style of social organization are then noted. In the final section, the article queries the long-term impact of these developments on the ideal of the scientist as a 'moral person'. Taking a cue from Max Weber and pursuing reflections by Zygmunt Bauman on 'science moralized', I argue that the emergence of a type of 'specialists without spirit' was an unintended but fatal consequence of the changes in research practices promoted by scientific entrepreneurs such as Du Bois-Reymond. I conclude that the temptation to sever the ties to a general ethos of civil virtues lay in the rationalization, specialization and potential de-humanization of the objectifying scientific outlook once advocated for its efficiency.

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.