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.

Hazard and early warning analysis based on domain specific modeling technologies

An aim of proactive risk management strategies is the timely identification of safety related risks. One way to achieve this is by deploying early warning systems. Early warning systems aim to provide useful information on the presence of potential threats to the system, the level of vulnerability of a system, or both of these, in a timely manner. This information can then be used to take proactive safety measures. The United Nation’s has recommended that any early warning system need to have four essential elements, which are the risk knowledge element, a monitoring and warning service, dissemination and communication and a response capability. This research deals with the risk knowledge element of an early warning system. The risk knowledge element of an early warning system contains models of possible accident scenarios. These accident scenarios are created by using hazard analysis techniques, which are categorised as traditional and contemporary. The assumption in traditional hazard analysis techniques is that accidents are occurred due to a sequence of events, whereas, the assumption of contemporary hazard analysis techniques is that safety is an emergent property of complex systems. The problem is that there is no availability of a software editor which can be used by analysts to create models of accident scenarios based on contemporary hazard analysis techniques and generate computer code that represent the models at the same time. This research aims to enhance the process of generating computer code based on graphical models that associate early warning signs and causal factors to a hazard, based on contemporary hazard analyses techniques. For this purpose, the thesis investigates the use of Domain Specific Modeling (DSM) technologies. The contributions of this thesis is the design and development of a set of three graphical Domain Specific Modeling languages (DSML)s, that when combined together, provide all of the necessary constructs that will enable safety experts and practitioners to conduct hazard and early warning analysis based on a contemporary hazard analysis approach. The languages represent those elements and relations necessary to define accident scenarios and their associated early warning signs. The three DSMLs were incorporated in to a prototype software editor that enables safety scientists and practitioners to create and edit hazard and early warning analysis models in a usable manner and as a result to generate executable code automatically. This research proves that the DSM technologies can be used to develop a set of three DSMLs which can allow user to conduct hazard and early warning analysis in more usable manner. Furthermore, the three DSMLs and their dedicated editor, which are presented in this thesis, may provide a significant enhancement to the process of creating the risk knowledge element of computer based early warning systems.

The politics of hazard: imminent critique and deconstruction of ecological modernisation in Ireland

This dissertation sets out to provide immanent critique and deconstruction of ecological modernisation or ecomodernism.It does so, from a critical social theory approach, in order to correctly address the essential issues at the heart of the environmental crisis that ecomodernism purports to address. This critical approach argues that the solution to the environmental crisis can only be concretely achieved by recognising its root cause as being foremost the issue of material interaction between classes in society, and not simply between society and nature in any structurally meaningful way. Based on a metaphysic of false dualism, ecological modernisation attributes a materiality of exchange value relations to issues of society, while simultaneously offering a non- material ontology to issues of nature. Thus ecomodernism serves asymmetrical relations of power whereby, as a polysemic policy discourse, it serves the material interests of those who have the power to impose abstract interpretations on the materiality of actual phenomena. The research of this dissertation is conducted by the critical evaluation of the empirical data from two exemplary Irish case studies. Discovery of the causal processes of the various public issues in the case studies and thereafter the revelation of the meaning structures under- pinning such causal processes, is a theoretically- driven task requiring analysis of those social practices found in the cognitive, cultural and structural constitutions respectively of actors, mediations and systems.Therefore, the imminent critique of the case study paradigms serves as a research strategy for comprehending Ireland’s nature- society relations as influenced essentially by a systems (techno- corporatist) ecomodernist discourse. Moreover, the deconstruction of this systems ideological discourse serves not only to demonstrate how weak ecomodernism practically undermines its declared ecological objectives, but also indicates how such objectives intervene as systemic contradictions at the cultural heart of Ireland’s late modernisation.

HIF-1alpha role in oxygen-dependent radio- and chemosensitivity

Poor oxygenation (hypoxia) is a common characteristic of human solid tumours, and is associated with cell survival, metastasis and resistance to radio- and chemotherapies. Hypoxia-induced stabilisation of hypoxia-inducible factor-1α (HIF-1α) leads to changes in expression of various genes associated with growth, vascularisation and metabolism. However whether HIF-1α plays a causal role in promoting hypoxic resistance to antitumour therapies remains unclear. In this study we used pharmacological and genetic methods to investigate the HIF-1α contribution to radio- and chemoresistance in four cancer cell lines derived from cervical, breast, prostate and melanoma human tumours. Under normoxia or hypoxia (<0.2% or 0.5% oxygen) the cells were exposed to either a standard irradiation dose (6.2 Gy) or chemotherapeutic drug (cisplatin), and subsequent cell proliferation (after 7 days) was measured in terms of resazurin reduction. Oxygen-dependent radio- and chemosensitivity was evident in all wild type whereas it was reduced or abolished in HIF-1α (siRNA) knockdown cells. The effects of HIF-1α-modulating drugs (EDHB, CoCl2, deferoxamine to stabilise and R59949 to destabilise it) reflected both HIF-1α-dependent and independent mechanisms. Collectively the data show that HIF-1α played a causal role in our in vitro model of hypoxia-induced radioresistance whereas its contribution to oxygendependent sensitivity to cisplatin was less clear-cut. Although this behavior is likely to be conditioned by further biological and physical factors operating in vivo, it is consistent with the hypothesis that interventions directed at HIF-1α may improve the clinical effectiveness of tumour treatments.

Effectuation and its implications for socio-technical design science research in information systems

We study the implications of the effectuation concept for socio-technical artifact design as part of the design science research (DSR) process in information systems (IS). Effectuation logic is the opposite of causal logic. Ef-fectuation does not focus on causes to achieve a particular effect, but on the possibilities that can be achieved with extant means and resources. Viewing so-cio-technical IS DSR through an effectuation lens highlights the possibility to design the future even without set goals. We suggest that effectuation may be a useful perspective for design in dynamic social contexts leading to a more dif-ferentiated view on the instantiation of mid-range artifacts for specific local ap-plication contexts. Design science researchers can draw on this paper’s conclu-sions to view their DSR projects through a fresh lens and to reexamine their re-search design and execution. The paper also offers avenues for future research to develop more concrete application possibilities of effectuation in socio-technical IS DSR and, thus, enrich the discourse.

Ford, Carter and Cambodia: US foreign policy and the Khmer Rouge

This thesis is an investigation into the US response to the Khmer Rouge regime in Cambodia between 1974 and 1981. It argues that the US experience in the Vietnam War acted as a causal factor in the formulation of its Cambodian policy during the presidencies of Gerald Ford and Jimmy Carter. From taking power in April 1975 to their removal by the Vietnamese in January 1979, the Khmer Rouge initiated a revolution unrivalled in the 20th Century for its brutality and for the total eradication of modern society. This thesis demonstrates that the Ford administration viewed Cambodia only as it pertained to their strategy in Vietnam and, following US disengagement from Indochina all but ignored the atrocities occurring there as they instead pursued informal relations with the Khmer Rouge as a means of punishing the Vietnamese. The Carter administration formulated a foreign policy based on human rights yet failed to adequately address the genocide that occurred in Cambodia due to its temporal and regional proximity to Vietnam. Instead, this collective reluctance to reengage with the region and the resulting anti-Vietnamese attitude reinforced Brzezinski’s broader global strategy that allied the US with China in support of an independent Cambodia to further isolate Hanoi. Thus this thesis argues that the distorting impact of the Vietnam War, as well as global Cold War calculations, undermined any appreciation of the Cambodian conflict and caused both administrations to pursue policies in Cambodia that ultimately supported the Khmer Rouge regime. This project incorporates declassified material from the Ford and Carter Presidential Libraries, supplemented by the material from the National Archives and Library of Congress, and relevant newspapers and periodicals. It demonstrates that the limitations placed upon US foreign policy by their experience in the Vietnam War may be used to reveal unexplored elements in US-Cambodian relations.