Investigating problem-based learning in Saudi Arabian mathematics education: a TIMSS-related study

The aim of this study is to investigate the effectiveness of problem-based learning (PBL) on students’ mathematical performance. This includes mathematics achievement and students’ attitudes towards mathematics for third and eighth grade students in Saudi Arabia. Mathematics achievement includes, knowing, applying, and reasoning domains, while students’ attitudes towards mathematics covers, ‘Like learning mathematics’, ‘value mathematics’, and ‘a confidence to learn mathematics’. This study goes deeper to examine the interaction of a PBL teaching strategy, with trained face-to-face and self-directed learning teachers, on students’ performance (mathematics achievement and attitudes towards mathematics). It also examines the interaction between different ability levels of students (high and low levels) with a PBL teaching strategy (with trained face-to-face or self-directed learning teachers) on students’ performance. It draws upon findings and techniques of the TIMSS international benchmarking studies. Mixed methods are used to analyse the quasi-experimental study data. One -way ANOVA, Mixed ANOVA, and paired t-tests models are used to analyse quantitative data, while a semi-structured interview with teachers, and author’s observations are used to enrich understanding of PBL and mathematical performance. The findings show that the PBL teaching strategy significantly improves students’ knowledge application, and is better than the traditional teaching methods among third grade students. This improvement, however, occurred only with the trained face-to-face teacher’s group. Furthermore, there is robust evidence that using a PBL teaching strategy could raise significantly students’ liking of learning mathematics, and confidence to learn mathematics, more than traditional teaching methods among third grade students. Howe ver, there was no evidence that PBL could improve students’ performance (mathematics achievement and attitudes towards mathematics), more than traditional teaching methods, among eighth grade students. In 8th grade, the findings for low achieving students show significant improvement compared to high achieving students, whether PBL is applied or not. However, for 3th grade students, no significant difference in mathematical achievement between high and low achieving students was found. The results were not expected for high achieving students and this is also discussed. The implications of these findings for mathematics education in Saudi Arabia are considered.

Re-imagining the theology of human sexuality in the Methodist Church: the use of narrative in theological methodology

This thesis proposes the development of a narrative methodology in the British Methodist Church. Such a methodology embraces and communicates both felt experience and critical theological thinking, thus producing and presenting a theology that might have a constructive transformative impact on wider society. In chapter one I explore the ways in which the Church speaks in public, identify some of the challenges it faces, and consider four models of engagement. If the Church is to engage in public discourses then I argue that its words need to be relevant and connect with people’s experiences. To ground the thinking I focus on the context of the British Methodist Church and explore how the Church engages in theological reflection through the lens of its thinking on issues of human sexuality. Chapter two reviews how theological reflection is undertaken in the British Methodist Church. I describe how the Methodist Quadrilateral of Scripture, tradition, reason and experience remains a foundational framework for theological reflection within the Methodist Church and consider the impact of institutional processes and the ways in which the Methodist people actually engage with theological thinking. The third and fourth chapters focus on how the British Methodist Church has produced its theology of human sexuality, giving particular attention to the use of personal and sexual stories in this process. I find that whilst there has been a desire to listen to the stories of the Methodist people, there has not been a corresponding interrogation or analysis of their stories so as to enable robust and constructive theological reflection on these experiences. Using resources from Foucauldian approaches to discourse analysis, I critique key statements and the processes involved in their production, offering an analysis of this body of theological thinking and indicating where possibilities for alternative ways of thinking and acting arise. The proposed methodology draws upon resources from social science methodologies, and in chapter five I look at the use of personal experience and relevant strategies of inquiry that prompt reflection on the hermeneutical process and employ narrative approaches in undertaking, analysing and presenting research. The exploration shows that qualitative research methodologies offer resources and methods of inquiry that could help the Church to engage with personal stories in its theological thinking in a robust, interrogative and imaginative way. In chapter six an examination of story and narrative is undertaken, to show how they have been understood as ways of knowing and how they relate to theological inquiry. Whilst acknowledging some of the limitations of narrative, I indicate how it offers constructive possibilities for theological reflection and could be a means for the British Methodist Church to engage in public discourse. This is explored further in chapter seven, which looks in more detail at how the British Methodist Church has used narrative in its theological thinking, and outlines areas requiring further attention in order for a narrative theological methodology to be developed, namely: attention to the question ‘whose experience?’; investigation of issues of power and the dynamics involved in the process of the production of theological thought; how personal stories and experiences are interrogated and how narrative is constructed; and how narrative might be employed within the Methodist Quadrilateral. The final chapter considers the advantages and limitations of such an approach, whether the development of such a method is possible in the Methodist Church today and its potential for helping the Church to engage in public discourse more effectively. I argue that this methodology can provoke new theological insights and enable new ways of being in the world