849 resultados para teaching mathematics in English
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Tuesday 22nd April 2014 Speaker(s): Sue Sentance Organiser: Leslie Carr Time: 22/04/2014 15:00-16:00 Location: B32/3077 File size: 698 Mb Abstract Until recently, "computing" education in English schools mainly focused on developing general Digital Literacy and Microsoft Office skills. As of this September, a new curriculum comes into effect that provides a strong emphasis on computation and programming. This change has generated some controversy in the news media (4-year-olds being forced to learn coding! boss of the government’s coding education initiative cannot code shock horror!!!!) and also some concern in the teaching profession (how can we possibly teach programming when none of the teachers know how to program)? Dr Sue Sentance will explain the work of Computing At School, a part of the BCS Academy, in galvanising universities to help teachers learn programming and other computing skills. Come along and find out about the new English Computing Revolution - How will your children and your schools be affected? - How will our University intake change? How will our degrees have to change? - What is happening to the national perception of Computer Science?
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O presente trabalho teve como ponto de partida os resultados dos rendimentos escolares apresentados pelo SAEB (Sistema de Avaliação da Educação Básica) e o SAEPE (Sistema de Avaliação Escolar de Pernambuco), frente às ações de intervenções promovidas pelas políticas públicas implementadas pelo governo de Pernambuco, através dos programas de formação continuada, direcionados na perspectiva de reverter os baixos índices do rendimento escolar, o que nos possibilitou a delinear objetivos que nos permitissem a identificar a relação entre os indicadores do SAEB, SAEPE e Programas de Formação Continuada no redimensionamento do saber fazer docente e implicações na melhoria do desempenho docente, bem como identificar limites e possibilidades da formação na melhoria do desempenho docente, em razão dos indicadores apresentados. As transformações do mundo têm interferido de forma contundente no campo da educação, bem como nos vários aspectos da gestão educacional, escolar, curricular e particularmente na formação continuada, com vistas no desempenho docente, tendo como objeto crescente a atenção dos pesquisadores com atuação na educação. As políticas educacionais no Brasil vêm demonstrado preocupação com a qualidade do ensino ofertada pela escola pública, decorrente das pressões dos organismos internacionais, que veem na educação a solução dos problemas enfrentados por um mundo cada vez mais globalizado, de transformações e descobertas tecnológicas que caracterizam hoje, a chamada sociedade do conhecimento. Tal contexto, em que a escola pública brasileira se encontrava, mobilizou os gestores a buscarem ações de intervenção no sentido de reverter o quadro tão comprometedor que o ensino público da Educação Básica brasileira se apresentava. O repensar das práticas pedagógicas vivenciadas no contexto escolar, recai sobre o professor, a responsabilidade do resultado que a escola apresenta. Falar da prática pedagógica recai necessariamente na formação inicial e continuada desse professor. Para sua realização utilizou-se uma abordagem quantitativa e qualitativa. As técnicas de coleta de dados foram aplicação de questionários a 100 professores da educação básica da rede pública, entrevistas com cinco formadores e análise dos documentos relacionados com a política de formação continuada. O estudo demonstrou que o modelo proposto, pouco tem contribuído para o desenvolvimento profissional docente, não envolvendo, portanto, o professor diretamente no processo formativo, com exceção dos que participam de alguns programas (SAEB / SAEPE) que visam diretamente à melhoria dos índices de aprendizagem em língua portuguesa e matemática, na perspectiva de que a formação os instrumentalize a aplicar técnicas, que a formação continuada não atende nem suas necessidades, nem da escola. Os demais professores só se encontram uma vez por ano, em estilo de grande evento, enquanto as formações ocorrem de forma desarticulada e fragmentada. Em consequência, foram apresentadas algumas reflexões no intuito de provocar e contribuir na revisão da concepção de formação continuada vivenciada pelos professores da rede pública do ensino de Pernambuco.
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Interdisciplinary research presents particular challenges for unambiguous communication. Frequently, the meanings of words differ markedly between disciplines, leading to apparent consensus masking fundamental misunderstandings. Researchers can agree on the need for models, but conceive of models fundamentally differently. While mathematics is frequently seen as an elitist language reinforcing disciplinary distinctions, both mathematics and modelling can also offer scope to bridge disciplinary epistemological divisions and create common ground on which very different disciplines can meet. This paper reflects on the role and scope for mathematics and modelling to present a common epistemological space in interdisciplinary research spanning the social, natural and engineering sciences.
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This study investigated the relationships between phonological awareness and reading in Oriya and English. Oriya is the official language of Orissa, an eastern state of India. The writing system is an alphasyllabary. Ninety-nine fifth grade children (mean age 9 years 7 months) were assessed on measures of phonological awareness, word reading and pseudo-word reading in both languages. Forty-eight of the children attended Oriya-medium schools where they received literacy instruction in Oriya from grade 1 and learned English from grade 2. Fifty-one children attended English-medium schools where they received literacy instruction in English from grade 1 and in Oriya from grade 2. The results showed that phonological awareness in Oriya contributed significantly to reading Oriya and English words and pseudo-words for the children in the Oriya-medium schools. However, it only contributed to Oriya pseudo-word reading and English word reading for children in the English-medium schools. Phonological awareness in English contributed to English word and pseudo-word reading for both groups. Further analyses investigated the contribution of awareness of large phonological units (syllable, onsets and rimes) and small phonological units (phonemes) to reading in each language. The data suggest that cross-language transfer and facilitation of phonological awareness to word reading is not symmetrical across languages and may depend both on the characteristics of the different orthographies of the languages being learned and whether the first literacy language is also the first spoken language.
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One of the major differences undergraduates experience during the transition to university is the style of teaching. In schools and colleges most students study key stage 5 subjects in relatively small informal groups where teacher–pupil interaction is encouraged and two-way feedback occurs through question and answer type delivery. On starting in HE students are amazed by the sizes of the classes. For even a relatively small chemistry department with an intake of 60-70 students, biologists, pharmacists, and other first year undergraduates requiring chemistry can boost numbers in the lecture hall to around 200 or higher. In many universities class sizes of 400 are not unusual for first year groups where efficiency is crucial. Clearly the personalised classroom-style delivery is not practical and it is a brave student who shows his ignorance by venturing to ask a question in front of such an audience. In these environments learning can be a very passive process, the lecture acts as a vehicle for the conveyance of information and our students are expected to reinforce their understanding by ‘self-study’, a term, the meaning of which, many struggle to understand. The use of electronic voting systems (EVS) in such situations can vastly change the students’ learning experience from a passive to a highly interactive process. This principle has already been demonstrated in Physics, most notably in the work of Bates and colleagues at Edinburgh.1 These small hand-held devices, similar to those which have become familiar through programmes such as ‘Who Wants to be a Millionaire’ can be used to provide instant feedback to students and teachers alike. Advances in technology now allow them to be used in a range of more sophisticated settings and comprehensive guides on use have been developed for even the most techno-phobic staff.
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In this article the authors argue that L1 transfer from English is not only important in the early stages of L2 acquisition of Spanish, but remains influential in later stages if there is not enough positive evidence for the learners to progress in their development (Lefebvre, White, & Jourdan, 2006). The findings are based on analyses of path and manner of movement in stories told by British students of Spanish (N = 68) of three different proficiency levels. Verbs that conflate motion and path, on the one hand, are mastered early, possibly because the existence of Latinate path verbs, such as enter and ascend in English, facilitate their early acquisition by British learners of Spanish. Contrary to the findings of Cadierno (2004) and Cadierno and Ruiz (2006), the encoding of manner, in particular in boundary crossing contexts, seems to pose enormous difficulties, even among students who had been abroad on a placement in a Spanish-speaking country prior to the data collection. An analysis of the frequency of manner verbs in Spanish corpora shows that one of the key reasons why students struggle with manner is that manner verbs are so infrequent in Spanish. The authors claim that scarce positive evidence in the language exposed to and little or no negative evidence are responsible for the long-lasting effect of transfer on the expression of manner.
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One of the key tenets in Wittgenstein’s philosophy of mathematics is that a mathematical proposition gets its meaning from its proof. This seems to have the paradoxical consequence that a mathematical conjecture has no meaning, or at least not the same meaning that it will have once a proof has been found. Hence, it would appear that a conjecture can never be proven true: for what is proven true must ipso facto be a different proposition from what was only conjectured. Moreover, it would appear impossible that the same mathematical proposition be proven in different ways. — I will consider some of Wittgenstein’s remarks on these issues, and attempt to reconstruct his position in a way that makes it appear less paradoxical.
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This paper reports the findings from two large scale national on-line surveys carried out in 2009 and 2010, which explored the state of history teaching in English secondary schools. Large variation in provision was identified within comprehensive schools in response to national policy decisions and initiatives. Using the data from the surveys and school level data that is publicly available, this study examines situated factors, particularly the nature of the school intake, the numbers of pupils with special educational needs and the socio-economic status of the area surrounding the school, and the impact these have on the provision of history education. The findings show that there is a growing divide between those students that have access to the ‘powerful knowledge’, provided by subjects like history, and those that do not.
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A large body of research has focused on the observation that second language (L2) learners are limited in their production of temporal and aspectual forms. For example, in L2 English, it has been shown learners use progressive marking with activity verbs and only rarely extend the form to telic verb phrases such as accomplishments or achievements (Bardovi-Harlig and Reynolds, 1995; Bardovi-Harlig, 2000; Robison, 1995). Shirai and Andersen (1995) proposed that activities represent the prototype for the category of progressive aspect and learners generally acquire the prototype first. However, very little research has focused explicitly on advanced learners to see if they eventually extend beyond the prototype. In addition, properties of the native language have not systematically been taken into account. Achievements such as "die" are especially interesting in that they interact differently with markers of progressive aspect across languages. The present study investigated the acquisition of progressive achievements in English by native speakers of Chinese and Korean in order to examine whether there is evidence of universal difficulty, as would be predicted by the prototype account, or whether similarity between the L1 and L2 (as in the case of English and Korean) can facilitate acquisition, as would be predicted by transfer. Our results suggest that the properties of the native language play an important role, supporting the transfer account. However, neither L1 group performs at the level of native speakers. We argue that the acquisition of aspect is influenced by both the properties of the native language and the semantic and pragmatic complexity of the target computation.
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The IEEE 754 standard for oating-point arithmetic is widely used in computing. It is based on real arithmetic and is made total by adding both a positive and a negative infinity, a negative zero, and many Not-a-Number (NaN) states. The IEEE infinities are said to have the behaviour of limits. Transreal arithmetic is total. It also has a positive and a negative infinity but no negative zero, and it has a single, unordered number, nullity. We elucidate the transreal tangent and extend real limits to transreal limits. Arguing from this firm foundation, we maintain that there are three category errors in the IEEE 754 standard. Firstly the claim that IEEE infinities are limits of real arithmetic confuses limiting processes with arithmetic. Secondly a defence of IEEE negative zero confuses the limit of a function with the value of a function. Thirdly the definition of IEEE NaNs confuses undefined with unordered. Furthermore we prove that the tangent function, with the infinities given by geometrical con- struction, has a period of an entire rotation, not half a rotation as is commonly understood. This illustrates a category error, confusing the limit with the value of a function, in an important area of applied mathe- matics { trigonometry. We brie y consider the wider implications of this category error. Another paper proposes transreal arithmetic as a basis for floating- point arithmetic; here we take the profound step of proposing transreal arithmetic as a replacement for real arithmetic to remove the possibility of certain category errors in mathematics. Thus we propose both theo- retical and practical advantages of transmathematics. In particular we argue that implementing transreal analysis in trans- floating-point arith- metic would extend the coverage, accuracy and reliability of almost all computer programs that exploit real analysis { essentially all programs in science and engineering and many in finance, medicine and other socially beneficial applications.
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This chapter is a modest attempt to investigate how MA TEFL programmes in Iran are changing in a globalised world. Our previous research in this area (Hasrati & Tavakoli, in print; Tavakoli & Hasrati, in preparation) has shown how MAs in English Language Teaching programmes are developing in Anglophone countries, but little or no research has been conducted to study changes in MA TEFL programmes in Iran. In what follows, we will first introduce MA TEFL programmes in Iran, before presenting and discussing different definitions of globalisation. We will then explain how we collected the data for this study and report our findings, making comparisons with the other contexts when appropriate. We will conclude by elaborating on possible extensions of this study in similar contexts.
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Addressing two aspects of morphological awareness – derivational and compound, this study investigates the relationships between morphological awareness and vocabulary and reading comprehension in English-Chinese bilingual primary 3 children in Singapore (N = 76). Comparable tasks in Chinese and English were administered to examine the children’s morphological awareness, vocabulary, and reading comprehension. The results show that morphological awareness is highly related to vocabulary and reading comprehension, with higher correlations between morphological awareness and reading comprehension than between morphological awareness and vocabulary. This indicates that morphological awareness may have direct influence on reading comprehension beyond the mediating effect of vocabulary. Furthermore, the results indicate that children displayed more compound than derivational morphological awareness for Chinese due to the dominance of compound morphology in Chinese. However the children also displayed similar levels of derivational and compound morphological awareness for English despite far more derivatives than compounds in English. The robust cross-linguistic correlations suggest that Chinese compound morphological knowledge plays a facilitating role not only in learning English compounds, but also in learning transparently derived words that do not involve phonological or orthographic shifts.
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The present paper examines the production of definite and indefinite articles in English-speaking typically developing (TD) children and children with Specific Language Impairment (SLI). Twenty four English-speaking children with SLI (mean age: 7;5), twenty nine TD age-matched (TD-AM) children (mean age: 7;5) and eleven younger (mean age: 5;5) TD vocabulary-matched (TD-VM) children participated in a production task involving short stories without picture props based on Schafer and de Villiers (2000). Article production was examined in two different semantic contexts for the definite article, namely in the anaphoric and the bridging context. In the anaphoric condition, definiteness is established via linguistic means, whereas in the bridging condition via shared world knowledge. Indefinite article production was examined in the referential specific, non-referential predicational, and non-referential instrumental contexts. The referential specific context involves [+speaker, −hearer] knowledge and the non-referential predicational and instrumental [−speaker, −hearer] knowledge. Results showed that in the definite article contexts, all three groups performed better on the bridging compared with the anaphoric condition; in the indefinite article contexts, they had better performance on the non-referential predicational vs. the referential specific and the non-referential instrumental conditions. In terms of errors, the TD-VM children and the children with SLI produced significantly more substitutions than the TD-AM children in the definite article contexts. In the indefinite article contexts, the three groups did not differ in terms of accuracy or error patterns. The present results point towards problems in the discourse integration of entities that are part of the speaker's and hearer's knowledge in children with SLI and TD-VM controls, especially in definite articles. These problems are accentuated in the children with SLI due to their grammatical impairment and suggest that children with SLI exhibit a delayed acquisition profile.