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.

Student voice in Irish post-primary schools: a drama of voices

This research is an exploration of the expression of student voice in Irish post-primary schools and how its affordance could impact on students’ and teachers’ experiences in the classroom, and at whole-school level through a student council. Student voice refers to the inclusion of students in decisions that shape their experiences in classrooms and schools, and is fundamental to a rights-based perspective that facilitates students to have a voice and a say in their education. Student voice is essential to the development of democratic principles, active citizenship, and learning and pedagogy. This qualitative research, based in three post-primary case-study schools, concerns teachers in eighteen classrooms engaging in dialogic consultation with their students over one school year. Teachers considered the students’ commentary and then adjusted their practice. The operation of student councils was also examined through the voices of council members, liaison teachers and school principals. Theorised within socio-cultural (social constructivist), social constructionist and poststructural frames, the complexity of student voice emerges from its conceptualisation and enactment. Affording students a voice in their classroom presented positive findings in the context of relationships, pedagogical change and students’ engagement, participation and achievement. The power and authority of the teacher and discordant student voices, particularly relating to examinations, presented challenges affecting teachers’ practice and students’ expectations. The functional redundancy of the student council as a construct for student voice at whole-school level, and its partial redundancy as a construct to reflect prefigurative democracy and active citizenship also emerge from the research. Current policy initiatives in Irish education situate student voice in pedagogy and as dialogic consultation at classroom and whole-school level. This work endorses the necessity for and benefit of such a positioning with the author further arguing that it should not become the instrumental student voice of data source, accountability and performativity.

An exploration of leadership in Irish post-primary education

The purpose of this study is to explore the nature and how of leadership in Irish post-primary schools. It considers school leadership within the context of contemporary Distributed Leadership theory. Associated concepts such as Distributed Cognition and Activity Theory are used to frame the study. From a distributed perspective, it is now widely accepted that other agents (e.g. teachers) have a leadership role, as part of collaborative, participative and supportive learning communities. Thus, this study considers how principals interact and build leadership capacity throughout the school. The study draws on two main sources of evidence. In analysing the implications of accountability agendas for school leadership, there is an exploration and focus on the conceptualisations of school leadership that are fore-grounded in 21 WSE reports. Elements of Critical Discourse Analysis are employed as an investigative tool to decipher how the construction of leadership practice is produced. The second prong of the study explores leadership in 3 case-study post-primary schools. Leadership is a complex phenomenon and not easy to describe. The findings clarify, however, that school leadership is a construct beyond the scope of the principal alone. While there is widespread support for a distributed model of leadership, the concept does not explicitly form part of the discourse in the case-study schools. It is also evident that any attempt to understand leadership practice must connect local interpretations with broader discourses. The understanding and practice of leadership is best understood in its sociohistorical context. The study reveals that, in the Irish post-primary school, the historical dimension is very influential, while the situational setting, involving a particular set of agents and agendas, strongly shapes thinking and practices. This study is novel as it synthesises two key sources of evidence. It is of great value in that it teases out the various historical and situational aspects to enhance understandings of school leadership in contemporary Ireland. It raises important questions for policy, practice and further research.