17 resultados para 280402 Mathematical Logic and Formal Languages


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The experience of later life varies widely and is often framed in terms of the active lifestyles of the Third Age and the frailty and abjection of the Fourth Age. This thesis sought to understand how the concepts of care and choice are enacted, experienced and interrelated in the context of both informal and formal care in later life and how older people themselves, their families and significant others understand and experience these concepts. The discourse of personalisation that dominates care services has led to an emphasis on individual choice, control and independence so that those in need of care are faced with what has been described as the ‘logic of choice’, a focus on individual responsibility rather than care. Adopting a Feminist Foucauldian theoretical approach and drawing on Tronto’s (1993) ethic of care, this thesis explores the experiences of older people and their informal carers through dialogical narrative analysis. The stories begin with the recognition by individuals that there is a need for care and how this need is met through negotiations with families and significant others. As needs increase the physical and logistical limits of informal care by individuals are reached, often leading to a need to ‘choose’ formal care. Rather than impacting solely on the care recipient, formal care is shown as being an experience that is shared with informal carers. Indeed, the participants depict how informal care continues alongside formal care and how the boundaries between them become blurred. I argue that a binary division between actively making choices and being a passive recipient are not appropriate to understandings of care. By disentangling the notions of care and choice this thesis explores the extent to which these concepts are relevant to the experience of older people in specific care situations.

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The semantic model developed in this research was in response to the difficulty a group of mathematics learners had with conventional mathematical language and their interpretation of mathematical constructs. In order to develop the model ideas from linguistics, psycholinguistics, cognitive psychology, formal languages and natural language processing were investigated. This investigation led to the identification of four main processes: the parsing process, syntactic processing, semantic processing and conceptual processing. The model showed the complex interdependency between these four processes and provided a theoretical framework in which the behaviour of the mathematics learner could be analysed. The model was then extended to include the use of technological artefacts into the learning process. To facilitate this aspect of the research, the theory of instrumentation was incorporated into the semantic model. The conclusion of this research was that although the cognitive processes were interdependent, they could develop at different rates until mastery of a topic was achieved. It also found that the introduction of a technological artefact into the learning environment introduced another layer of complexity, both in terms of the learning process and the underlying relationship between the four cognitive processes.