849 resultados para teaching mathematics in English


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A constructivist philosophy underlies the Irish primary mathematics curriculum. As constructivism is a theory of learning its implications for teaching need to be addressed. This study explores the experiences of four senior class primary teachers as they endeavour to teach mathematics from a constructivist-compatible perspective with primary school children in Ireland over a school-year period. Such a perspective implies that children should take ownership of their learning while working in groups on tasks which challenge them at their zone of proximal development. The key question on which the research is based is: to what extent will an exposure to constructivism and its implications for the classroom impact on teaching practices within the senior primary mathematics classroom in both the short and longer term? Although several perspectives on constructivism have evolved (von Glaserfeld (1995), Cobb and Yackel (1996), Ernest (1991,1998)), it is the synthesis of the emergent perspective which becomes pivotal to the Irish primary mathematics curriculum. Tracking the development of four primary teachers in a professional learning initiative involving constructivist-compatible approaches necessitated the use of Borko’s (2004) Phase 1 research methodology to account for the evolution in teachers’ understanding of constructivism. Teachers’ and pupils’ viewpoints were recorded using both audio and video technology. Teachers were interviewed at the beginning and end of the project and also one year on to ascertain how their views had evolved. Pupils were interviewed at the end of the project only. The data were analysed from a Jaworskian perspective i.e. using the categories of her Teaching Triad of management of learning, mathematical challenge and sensitivity to students. Management of learning concerns how the teacher organises her classroom to maximise learning opportunities for pupils. Mathematical challenge is reminiscent of the Vygotskian (1978) construct of the zone of proximal development. Sensitivity to students involves a consciousness on the part of the teacher as to how pupils are progressing with a mathematical task and whether or not to intervene to scaffold their learning. Through this analysis a synthesis of the teachers’ interpretations of constructivist philosophy with concomitant implications for theory, policy and practice emerges. The study identifies strategies for teachers wishing to adopt a constructivist-compatible approach to their work. Like O’Shea (2009) it also highlights the likely difficulties to be experienced by such teachers as they move from utilising teacher-dominated methods of teaching mathematics to ones in which pupils have more ownership over their learning.

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The article examines developments in the marketisation and privatisation of the English National Health Service, primarily since 1997. It explores the use of competition and contracting out in ancillary services and the levering into public services of private finance for capital developments through the Private Finance Initiative. A substantial part of the article examines the repeated restructuring of the health service as a market in clinical services, initially as an internal market but subsequently as a market increasing opened up to private sector involvement. Some of the implications of market processes for NHS staff and for increased privatisation are discussed. The article examines one episode of popular resistance to these developments, namely the movement of opposition to the 2011 health and social care legislative proposals. The article concludes with a discussion of the implications of these system reforms for the founding principles of the NHS and the sustainability of the service.

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This paper focuses on two basic issues: the anxiety-generating nature of the interpreting task and the relevance of interpreter trainees’ academic self-concept. The first has already been acknowledged, although not extensively researched, in several papers, and the second has only been mentioned briefly in interpreting literature. This study seeks to examine the relationship between the anxiety and academic self-concept constructs among interpreter trainees. An adapted version of the Foreign Language Anxiety Scale (Horwitz et al., 1986), the Academic Autoconcept Scale (Schmidt, Messoulam & Molina, 2008) and a background information questionnaire were used to collect data. Students’ t-Test analysis results indicated that female students reported experiencing significantly higher levels of anxiety than male students. No significant gender difference in self-concept levels was found. Correlation analysis results suggested, on the one hand, that younger would-be interpreters suffered from higher anxiety levels and students with higher marks tended to have lower anxiety levels; and, on the other hand, that younger students had lower self-concept levels and higher-ability students held higher self-concept levels. In addition, the results revealed that students with higher anxiety levels tended to have lower self-concept levels. Based on these findings, recommendations for interpreting pedagogy are discussed.

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The article presents a study of a CEFR B2-level reading subtest that is part of the Slovenian national secondary school leaving examination in English as a foreign language, and compares the test-taker actual performance (objective difficulty) with the test-taker and expert perceptions of item difficulty (subjective difficulty). The study also analyses the test-takers’ comments on item difficulty obtained from a while-reading questionnaire. The results are discussed in the framework of the existing research in the fields of (the assessment of) reading comprehension, and are addressed with regard to their implications for item-writing, FL teaching and curriculum development.

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Numerous studies have found a positive connection between learners’ motivation towards foreign language and foreign language achievement. The present study examines the role of motivation in receptive vocabulary breadth (size) of two groups of Spanish learners of different ages, but all with 734 hours of instruction in English as a Foreign Language (EFL): a CLIL (Content and Language Integrated Learning) group in primary education and a non-CLIL (or EFL) group in secondary education. Most students in both groups were found to be highly motivated. The primary CLIL group slightly overcame the secondary non-CLIL group with respect to the mean general motivation but this is a non-significant difference. The secondary group surpass significantly the primary group in receptive vocabulary size. No relationship between the receptive vocabulary knowledge and general motivation is found in the primary CLIL group. On the other hand, a positive significant connection, although a very small one, is identified for the secondary non-CLIL group. We will discuss on the type of test, the age of students and the type of instruction as variables that could be influencing the results.

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This paper reports the findings from a study of the learning of English intonation by Spanish speakers within the discourse mode of L2 oral presentation. The purpose of this experiment is, firstly, to compare four prosodic parameters before and after an L2 discourse intonation training programme and, secondly, to confirm whether subjects, after the aforementioned L2 discourse intonation training, are able to match the form of these four prosodic parameters to the discourse-pragmatic function of dominance and control. The study designed the instructions and tasks to create the oral and written corpora and Brazil’s Pronunciation for Advanced Learners of English was adapted for the pedagogical aims of the present study. The learners’ pre- and post-tasks were acoustically analysed and a pre / post- questionnaire design was applied to interpret the acoustic analysis. Results indicate most of the subjects acquired a wider choice of the four prosodic parameters partly due to the prosodically-annotated transcripts that were developed throughout the L2 discourse intonation course. Conversely, qualitative and quantitative data reveal most subjects failed to match the forms to their appropriate pragmatic functions to express dominance and control in an L2 oral presentation.

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Thesis (Ph.D.)--University of Washington, 2016-06

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Il a été avancé que des apprenants expérimentés développeraient des niveaux élevés de conscience métalinguistique (MLA), ce qui leur faciliterait l’apprentissage de langues subséquentes (p.ex., Singleton & Aronin, 2007). De plus, des chercheurs dans le domaine de l’acquisition des langues tierces insistent sur les influences positives qu’exercent les langues précédemment apprises sur l’apprentissage formel d’une langue étrangère (p.ex., Cenoz & Gorter, 2015), et proposent de délaisser le regard traditionnel qui mettait l’accent sur l’interférence à l’origine des erreurs des apprenants pour opter pour une vision plus large et positive de l’interaction entre les langues. Il a été démontré que la similarité typologique ainsi que la compétence dans la langue source influence tous les types de transfert (p.ex., Ringbom, 1987, 2007). Cependant, le défi méthodologique de déterminer, à la fois l’usage pertinent d’une langue cible en tant que résultat d’une influence translinguistique (p.ex., Falk & Bardel, 2010) et d’établir le rôle crucial de la MLA dans l’activation consciente de mots ou de constructions reliés à travers différentes langues, demeure. La présente étude avait pour but de relever ce double défi en faisant appel à des protocoles oraux (TAPs) pour examiner le transfert positif de l’anglais (L2) vers l’allemand (L3) chez des Québécois francophones après cinq semaines d’enseignement formel de la L3. Les participants ont été soumis à une tâche de traduction développée aux fins de la présente étude. Les 42 items ont été sélectionnés sur la base de jugements de similarité et d’imagibilité ainsi que de fréquence des mots provenant d’une étude de cognats allemands-anglais (Friel & Kennison, 2001). Les participants devaient réfléchir à voix haute pendant qu’ils traduisaient des mots inconnus de l’allemand (L3) vers le français (L1). Le transfert positif a été opérationnalisé par des traductions correctes qui étaient basées sur un cognat anglais. La MLA a été mesurée par le biais du THAM (Test d’habiletés métalinguistiques) (Pinto & El Euch, 2015) ainsi que par l’analyse des TAPs. Les niveaux de compétence en anglais ont été établis sur la base du Michigan Test (Corrigan et al., 1979), tandis que les niveaux d’exposition ainsi que l’intérêt envers la langue et la culture allemandes ont été mesurés à l’aide d’un questionnaire. Une analyse fine des TAPs a révélé de la variabilité inter- et intra-individuelle dans l’activation consciente du vocabulaire en L2, tout en permettant l’identification de niveaux distincts de prise de conscience. Deux modèles indépendants de régressions logistiques ont permis d’identifier les deux dimensions de MLA comme prédicteurs de transfert positif. Le premier modèle, dans lequel le THAM était la mesure exclusive de MLA, a déterminé cette dimension réflexive comme principal prédicteur, suivie de la compétence en anglais, tandis qu’aucune des autres variables indépendantes pouvait prédire le transfert positif de l’anglais. Dans le second modèle, incluant le THAM ainsi que les TAPs comme mesures complémentaires de MLA, la dimension appliquée de MLA, telle que mesurée par les TAPs, était de loin le prédicteur principal, suivie de la dimension réflexive, telle que mesurée par le THAM, tandis que la compétence en anglais ne figurait plus parmi les facteurs ayant une influence significative sur la variable réponse. Bien que la verbalisation puisse avoir influencé la performance dans une certaine mesure, nos observations mettent en évidence la contribution précieuse de données introspectives comme complément aux résultats basés sur des caractéristiques purement linguistiques du transfert. Nos analyses soulignent la complexité des processus métalinguistiques et des stratégies individuelles, ce qui reflète une perspective dynamique du multilinguisme (p.ex., Jessner, 2008).

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Der 1795-1798 verfasste Text "De re scholastica Anglica cum Germanica comparata" (Über das englische Schulwesen im Vergleich zum deutschen) des sächsischen Rektors Friedrich August Hecht ist die erste bekannte Schrift zur Vergleichenden Erziehungswissenschaft. Ihre zentrale Materialgrundlage bilden englische und deutsche Schulbücher für Latein- und Gelehrtenschulen. Aus deutschsprachiger Sekundärliteratur übernimmt Hecht darüber hinaus Informationen über schulorganisatorische, curriculare und didaktische Besonderheiten der englischen Public Schools Westminster und Eton, und setzt sie zu den ihm aus eigener Praxis bekannten deutschen (sächsischen) Schulverhältnissen in Beziehung. Der Gedanke der Transnationalität im Bildungsbereich, der sich aktuell etwa im Begriff von transnationalen Bildungsräumen ausdrückt, hat bei Hecht der Sache nach drei Anknüpfungspunkte: die bildungspolitische Wirksamkeit transnationaler Herrscherfamilien, die gemeineuropäische Bedeutung der Gebildeten- und Gelehrtensprache Latein und die nationübergreifende Dimension des humanistischen Bildungskanons. Das alte Europa kannte Nationen und Staaten, aber es kannte noch keine Nationalstaaten. Die Deutschen sind für Hecht noch eine alteuropäische Nation, die Engländer dagegen auf dem Wege zur oder sind schon Staatsnation. Die Vergleichende Erziehungswissenschaft entsteht mit Hechts Schrift in einer Situation, da die alte transnationale Ordnung der Nationen und Staaten in die neue internationale Ordnung der Nationalstaaten übergeht. (DIPF/Orig.)

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In this article empirical findings from interviews with teachers of three classes of 12-year-old pupils are presented, together with questionnaire-responses from these 54 pupils. The interviews focus on teaching aims for Religious Education (RE), a subject that in Sweden, besides dealing with religion, also explores other kinds of beliefs, ethics and life questions. In the questionnaire the pupils are asked to solve four RE tasks with content that is central from a Swedish curriculum perspective. The research involves pupils at the beginning of the sixth grade and the purpose of this article is to look at the teachers’ aims and the pupils’ responses, and consider what these may indicate about conditions for teaching and learning RE in these classes. The findings show that the perspectives of the pupils at the beginning of the sixth grade seem to be rather far from the expectations of the RE syllabus. The pupils’ statements are rather vague with regard to religion as a phenomenon and there are few examples of pupils interpreting religious symbols in a way that is useful in further analysis. While existential and ethical plots, messages and point of views are comparatively easy to describe, it is harder to express multiple perspectives, reasons, comparisons and questions. A problem for the teachers in developing the perspectives of their pupils is that they find it hard to say what kind of general difficulties pupils have in RE, a fact that makes it hard to direct the teaching. Another challenge is that the teachers’ RE-aims are rather overarching and primarily related to fostering fundamental values. What improves the conditions for teaching and learning is the teachers’ concern for the pupils and their relationships with the teacher and with each other, a factor which is of vital importance for learning and which can also be used as a specific teaching method in subject matter education.

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Teacher observation has shown that some pupils achieve very high on the Kangaroo Competition test (KC) but very low on the Swedish National test in Mathematics (SNM). This study will investigate the number of pupils who have high achievement scores on the KC (top 10%) but low achievement scores on the SNM (bottom 50%). Individual results on the SNM given in grade 6 (age 12) will be compared to results on the KC given in grade 7; concerning approximately 700 individuals. Results will give an example of the quantity of mathematically able pupils who underachieve in School Mathematics in Sweden. Data interpretation will connect this study to international research concerning mathematical abilities and mathematical achievement among mathematically able pupils.

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The present study examined the effect of learning to read a heritage language on Taiwanese Mandarin-English bilingual children’s Chinese and English phonological awareness, Chinese and English oral language proficiency, and English reading skills. Participants were 40 Taiwanese Mandarin-English bilingual children and 20 English monolingual children in the U.S. Based on their performance on a Chinese character reading test, the bilingual participants were divided into two groups: the Chinese Beginning Reader and Chinese Nonreader groups. A single child categorized as a Chinese Advanced Reader also participated. Children received phonological awareness tasks, produced oral narrative samples from a wordless picture book, and took standardized English reading subtests. The bilingual participants received measures in both English and Chinese, whereas English monolingual children received only English measures. Additional demographic information was collected from a language background survey filled out by parents. Results of two MANOVAs indicated that the Chinese Beginning Reader group outperformed the Chinese Nonreader and English Monolingual groups on some phonological awareness measures and the English nonword reading test. In an oral narrative production task in English, the English Monolingual group produced a greater total number of words (TNW) and more different words (NDW) than the Chinese Nonreader group. Multiple regression analyses were conducted to determine whether bilingual children’s Chinese character reading ability would still account for a unique amount of variance in certain outcome variables, independent of nonverbal IQ and other potential demographic or performance variables and to clarify the direction of causality for bilingual children’s performance in the three domains. These results suggested that learning to read in a heritage language directly or indirectly enhances bilingual children’s ability in phonological awareness and certain English reading skills. It also appears that greater oral language proficiency in Chinese promotes early reading in the heritage language. Advanced heritage reading may produce even larger gains. Practical implications of learning a heritage language in the U.S. are discussed.

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The English language has an important place in Pakistan and in its education system, not least because of the global status of English and its role in employment. Realising the need to enhance language learning outcomes, especially at the tertiary level, the Higher Education Commission (HEC) of Pakistan has put in place some important measures to improve the quality of English language teaching practice through its English Language Teaching Reforms (ELTR) project. However, there is a complex linguistic, educational and ethnic diversity in Pakistan and that diversity, alongside the historical and current role of English in the country, makes any language teaching reform particularly challenging. I argue, in this thesis, that reform to date has largely ignored the issues of learner readiness to learn and learner perceptions of the use of English. I argue that studying learner attitudes is important if we are to understand how learners perceive the practice of learning and the use of English in their lives. This study focuses on the attitudes of undergraduate learners of English as a foreign language at two universities in the provinces of Sindh and Balochistan in Pakistan. These provinces have experienced long struggles and movements related to linguistic and ethnic rights and both educate students from all of the districts of their respective provinces. Drawing on debates around linguistic imperialism, economic necessity, and linguistic and educational diversity, I focus on learners’ perceptions about learning and speaking English, asking what their attitudes are towards learning and speaking English with particular reference to socio-psychological factors at a given time and context, including perceived threats to their culture, religion, and mother tongue. I ask how they make choices about learning and speaking English in different domains of language use and question their motivation to learn and speak English. Additionally, I explore issues of anxiety with reference to their use of English. Following a predominantly qualitative mixed methods research approach, the study employs two research tools: an adapted Likert Scale questionnaire completed by 300 students and semi-structured interviews with 20 participants from the two universities. The data were analysed through descriptive statistics and qualitative content analysis, with each set of data synthesised for interpretation. The findings suggest that, compared with the past, the majority of participants hold positive attitudes towards learning and speaking English regardless of their ethnic or linguistic backgrounds. Most of these undergraduate students do not perceive the use of English as a threat to their culture, mother tongue or religious values but, instead, they have a pragmatic and, at the same time, aspirational attitude to the learning and use of English. I present these results and conclude this thesis with reference to ways in which this small-scale study contributes to a better understanding of learner attitudes and perceptions. Acknowledging the limitations of this study, I suggest ways in which the study, enhanced and extended by further research, might have implications for practice, theory and policy in English language teaching and learning in Pakistan.

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False Anglicisms are words which technically are not part of the English language, but "seem" English, due to their shape or resemblance to English words. These are usually the result of new creations/coinages in other languages and/or semantic shifts. Due to the use of English as a Lingua Franca, it is becoming quite common to come across these words in English with the "re-imported" shape and meaning they bring from other languages.

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A colaboração é um tema cada vez mais atual nas práticas pedagógicas dos docentes. No que diz respeito a esta temática, a avaliação externa das escolas no seu quadro de referência apela ao trabalho colaborativo entre os docentes, na prestação do serviço educativo, afirmando o acompanhamento e a supervisão da prática letiva e apresentando um papel relevante na monitorização da eficiência das práticas de apoio educativo. Pretendemos, desta forma, investigar as metodologias colaborativas evidenciadas, bem como a partilha de vivências e perspetivas em relação à efetiva prática ou ausência de colaboração, entre professores do 2º ciclo do ensino básico e professores de apoio educativo das disciplinas de Português, Matemática e Inglês, de uma escola da Região Autónoma dos Açores. Para além disso, também investigámos os processos de supervisão das práticas de colaboração. Para a consecução dessa investigação realizámos questionários a professores de turma e de apoio educativo do 2.º ciclo das disciplinas de Português, Matemática e Inglês, para evidenciar as práticas colaborativas entre os professores titulares e os professores de apoio educativo. Também foram realizadas entrevistas às coordenadoras dos respetivos departamentos, sobre a temática da investigação, e à coordenadora dos apoios educativos. Sendo assim, evidenciou-se uma metodologia mista cujas técnicas de análise de dados tiveram como base a análise estatística descritiva e a análise de conteúdo categorial. Desta recolha de dados foi percetível que as práticas colaborativas ainda não são uma realidade entre os docentes de turma do 2.º ciclo e de apoio educativo. Foi notório que essas práticas se centram apenas na troca de informações, de forma informal, ou então em momentos de avaliação, através da realização de relatórios periodais. A noção do conceito de colaboração ainda não se encontra bem definido para esses docentes, no entanto afirmam a importância dos processos colaborativos para o processo de ensino-aprendizagem. No que diz respeito às práticas de supervisão, estas não se encontram instituídas na escola onde decorreu a investigação, nomeadamente a supervisão promotora de processos de colaboração. Esta investigação poderá ser promotora de outros estudos relacionados com a colaboração e a supervisão das práticas colaborativas, bem como um contributo para a abertura a essas mesmas práticas.