An investigation of post-primary students' images of mathematics

This research study investigates the image of mathematics held by 5th-year post-primary students in Ireland. For this study, “image of mathematics” is conceptualized as a mental representation or view of mathematics, presumably constructed as a result of past experiences, mediated through school, parents, peers or society. It is also understood to include attitudes, beliefs, emotions, self-concept and motivation in relation to mathematics. This study explores the image of mathematics held by a sample of 356 5th-year students studying ordinary level mathematics. Students were aged between 15 and 18 years. In addition, this study examines the factors influencing students‟ images of mathematics and the possible reasons for students choosing not to study higher level mathematics for the Leaving Certificate. The design for this study is chiefly explorative. A questionnaire survey was created containing both quantitative and qualitative methods to investigate the research interest. The quantitative aspect incorporated eight pre-established scales to examine students‟ attitudes, beliefs, emotions, self-concept and motivation regarding mathematics. The qualitative element explored students‟ past experiences of mathematics, their causal attributions for success or failure in mathematics and their influences in mathematics. The quantitative and qualitative data was analysed for all students and also for students grouped by gender, prior achievement, type of post-primary school attending, co-educational status of the post-primary school and the attendance of a Project Maths pilot school. Students‟ images of mathematics were seen to be strongly indicated by their attitudes (enjoyment and value), beliefs, motivation, self-concept and anxiety, with each of these elements strongly correlated with each other, particularly self-concept and anxiety. Students‟ current images of mathematics were found to be influenced by their past experiences of mathematics, by their mathematics teachers, parents and peers, and by their prior mathematical achievement. Gender differences occur for students in their images of mathematics, with males having more positive images of mathematics than females and this is most noticeable with regards to anxiety about mathematics. Mathematics anxiety was identified as a possible reason for the low number of students continuing with higher level mathematics for the Leaving Certificate. Some students also expressed low mathematical self-concept with regards to higher level mathematics specifically. Students with low prior achievement in mathematics tended to believe that mathematics requires a natural ability which they do not possess. Rote-learning was found to be common among many students in the sample. The most positive image of mathematics held by students was the “problem-solving image”, with resulting implications for the new Project Maths syllabus in post-primary education. Findings from this research study provide important insights into the image of mathematics held by the sample of Irish post-primary students and make an innovative contribution to mathematics education research. In particular, findings contribute to the current national interest in Ireland in post-primary mathematics education, highlighting issues regarding the low uptake of higher level mathematics for the Leaving Certificate and also making a preliminary comparison between students who took part in the piloting of Project Maths and students who were more recently introduced to the new syllabus. This research study also holds implications for mathematics teachers, parents and the mathematics education community in Ireland, with some suggestions made on improving students‟ images of mathematics.

A social history of sport in Cork, Tipperary and Waterford, c. 1880-1930

This thesis seeks to explore the development of sport in Munster in the late nineteenth and early twentieth centuries by comparing developments in three counties: Cork, Tipperary and Waterford. In particular this thesis considers the development of rugby and soccer in comparative perspective across these three counties, asking what local factors impacted on their uneven development in the region and considering the extent to which the traditional model of diffusion applies to the reception of these sports in the three counties. By giving consideration to these two particular non-indigenous sports, the thesis will, through answering that question, explore ideas of cultural reception, national identity and class as expressed at local level. These themes will be explored by placing the comparative analysis of these two sports into a wider context of sporting development regionally and nationally in the period, in particular the emerging commercialisation of sport, and also the diverse sporting culture of which these two sports were a part. Utilising a wide range of archival sources from local, national and sporting newspapers, to club records, official publications and ephemera this thesis builds a picture of sport in Munster that is deeply rooted in the community, and that forms an important facet of the social world of Cork, Tipperary and Waterford from 1880-1930.

A history of the Irish Red Cross Society, 1939-1971

This research is concerned with assessing from a national perspective the role, work and historical impact of the Irish Red Cross Society (IRCS) between 1939 and 1971. During this period the IRCS discharged three primary functions: it provided first aid services both in war-time and peace-time; it pioneered public health and social care services; and acted as the State’s main agency for international humanitarian relief measures. Although primarily a national organisational history of the Society, it is not a history in isolation. A broader perspective demonstrates that the work undertaken by the IRCS has relevance to the medical, social, religious, cultural, political and diplomatic history of twentieth century Ireland. This study assesses the impact of a number of significant public health and social care initiatives which the IRCS implemented and developed since its inception and how most of these were subsequently developed independently by the State. During the early 1940s, the Society’s formation of a national blood transfusion service ultimately laid the foundations for the establishment of a national blood transfusion service. The Society’s steering of a national anti-tuberculosis campaign in the 1940s brought the issue of the eradication of TB to the fore and helped to change public attitudes towards the disease. The concept of caring for the needs of the elderly in Ireland was largely unknown until the IRCS began addressing the issue in the 1950s and, for more than two decades, was effectively the only organisation in the State that campaigned and introduced innovative services for the aged. The IRCS made a significant impact in terms of its commitment to the needs of refugees and the provision of international humanitarian relief from Ireland. The Society’s donation in 1945 of a fully equipped hospital to the population of Saint-Lo in France, its war-time overseas relief efforts and its post-war work for child refugees earned Ireland significant international recognition and prestige and, more importantly, justified Ireland’s war-time policy of neutrality. With Ireland’s admission to the UN, the government became more dependent on the IRCS to consolidate that position.

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.