Investigating practitioner self-efficacy in an era of mathematical reform

The purpose of this study is to explore teacher self-efficacy at a time of radical mathematical reform. Project Maths – the new initiative which was rolled out nationwide in 2010 differs from previous attempts at innovation in that it targets a much closer connection between curriculum and pedagogy. Gone are the days of well-rehearsed routines where the role of the mathematician was essentially that of demonstrator. Teaching for understanding is now the main ‘official’ pedagogical focus, with emphasis on the practitioner playing the part of mediator between subject-matter and student. Mathematical instruction is not merely concerned with the transmission of knowledge and skills which is a particular pedagogical position to take. It is also an emotional practice (Hargreaves, 1998) that colours and expresses the feelings and actions of practitioners. While emotion plays a key role in teachers’ commitment to curricular reform, it is also shaped by the social and cultural contexts of mathematical change, alongside with the attitudes and beliefs of the mathematical teaching community. Inspired by Bandura’s theory of learning (1986), this investigation aims to shed light on the complex interplay between so-called mastery and vicarious experiences, social persuasion and physiological states. Vygotsky’s view of learning (1978) as a socio-cultural process is also drawn upon, as it provides a useful structure against which teacher self-efficacy and professional development can be examined. Finally, Hiebert’s theory (1986) is used to examine mathematics teaching self-efficacy and mathematics self-efficacy.

Tudor ‘reform’ treatises and government policy in sixteenth century Ireland

During the sixteenth century hundreds of treatises, position papers and memoranda were composed on the political state of Ireland and how best to ‘reform’, ‘conquer’ or otherwise incorporate that island into the wider Tudor kingdom. These ‘reform’ treatises attempted to identify and analyse the prevailing political, social, cultural and economic problems found in the Irish polity before positing how government policy could be altered to ameliorate these same problems. Written by a broad array of New English, Old English and Gaelic Irish authors, often serving within Irish officialdom, the military, or the Church of Ireland, these papers were generally circulated amongst senior ministers and political figures throughout the Tudor dominions. As such they were written with the express purpose of influencing the direction of government policy for Ireland. Collectively these documents are one of the most significant body of sources, not just for the study of government activity in the second Tudor kingdom, but indeed for the broader history of sixteenth century Ireland. This thesis offers the first systematic study of these texts. It does so by exploring the content of the hundreds of such works and the ‘reform’ treatise as a type of text, while the interrelationship of these documents with government policy in Tudor Ireland, and their effect thereon, is also explored. In so doing it charts the developments from origin to implementation of the principal strategies employed by Tudor Englishmen to enforce English control over the whole of Ireland. Finally, it clearly demonstrates that the ‘reform’ treatises were both central to government activity in sixteenth century Ireland and to the historical developments which occurred in that time and place.

Politics, Power, PISA: a genealogy of mathematics education policy at second level in Ireland at the beginning of the 21st century

This thesis traces a genealogy of the discourse of mathematics education reform in Ireland at the beginning of the twenty first century at a time when the hegemonic political discourse is that of neoliberalism. It draws on the work of Michel Foucault to identify the network of power relations involved in the development of a single case of curriculum reform – in this case Project Maths. It identifies the construction of an apparatus within the fields of politics, economics and education, the elements of which include institutions like the OECD and the Government, the bureaucracy, expert groups and special interest groups, the media, the school, the State, state assessment and international assessment. Five major themes in educational reform emerge from the analysis: the arrival of neoliberal governance in Ireland; the triumph of human capital theory as the hegemonic educational philosophy here; the dominant role of OECD/PISA and its values in the mathematics education discourse in Ireland; the fetishisation of western scientific knowledge and knowledge as commodity; and the formation of a new kind of subjectivity, namely the subjectivity of the young person as a form of human-capital-to-be. In particular, it provides a critical analysis of the influence of OECD/PISA on the development of mathematics education policy here – especially on Project Maths curriculum, assessment and pedagogy. It unpacks the arguments in favour of curriculum change and lays bare their ideological foundations. This discourse contextualises educational change as occurring within a rapidly changing economic environment where the concept of the State’s economic aspirations and developments in science, technology and communications are reshaping both the focus of business and the demands being put on education. Within this discourse, education is to be repurposed and its consequences measured against the paradigm of the Knowledge Economy – usually characterised as the inevitable or necessary future of a carefully defined present.