4 resultados para Mathematics instruction

em CORA - Cork Open Research Archive - University College Cork - Ireland


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The present work is a study of the Middle English prose text known as The Wise Book of Philosophy and Astronomy, a consideration of its transmission and reception history, and a survey of its manuscript witnesses; it also incorporates an edition of the text from two of its manuscripts. The text is a cosmological treatise of approximately five thousand words, written for the most part in English, with astronomical and astrological terms in Latin, though the English translation is frequently given. It is written anonymously, and survives in thirty-three manuscripts.

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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.

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It has been suggested that the less than optimal levels of students’ immersion language “persist in part because immersion teachers lack systematic approaches for integrating language into their content instruction” (Tedick, Christian and Fortune, 2011, p.7). I argue that our current lack of knowledge regarding what immersion teachers think, know and believe and what immersion teachers’ actual ‘lived’ experiences are in relation to form-focused instruction (FFI) prevents us from fully understanding the key issues at the core of experiential immersion pedagogy and form-focused integration. FFI refers to “any planned or incidental instructional activity that is intended to induce language learners to pay attention to linguistic form” (Ellis, 2001b, p.1). The central aim of this research study is to critically examine the perspectives and practices of Irish-medium immersion (IMI) teachers in relation to FFI. The study ‘taps’ into the lived experiences of three IMI teachers in three different IMI school contexts and explores FFI from a classroom-based, teacher-informed perspective. Philosophical underpinnings of the interpretive paradigm and critical hermeneutical principles inform and guide the study. A multi-case study approach was adopted and data was gathered through classroom observation, video-stimulated recall and semistructured interviews. Findings revealed that the journey of ‘becoming’ an IMI teacher is shaped by a vast array of intricate variables. IMI teacher identity, implicit theories, stated beliefs, educational biographies and experiences, IMI school cultures and contexts as well as teacher knowledge and competence impacted on IMI teachers’ FFI perspectives and practices. An IMI content teacher identity reflected the teachers’ priorities as shaped by pedagogical challenges and their educational backgrounds. While research participants had clearly defined instructional beliefs and goals, their roadmap of how to actually accomplish these goals was far from clear. IMI teachers described the multitude of choices and pedagogical dilemmas they faced in integrating FFI into experiential pedagogy. Significant gaps in IMI teachers’ declarative knowledge about and competence in the immersion language were also reported. This research study increases our understanding of the complexity of the processes underlying and shaping FFI pedagogy in IMI education. Innovative FFI opportunities for professional development across the continuum of teacher education are outlined, a comprehensive evaluation of IMI is called for and areas for further research are delineated.

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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.