4 resultados para Philosophy of mathematics

em Dalarna University College Electronic Archive


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Education is often understood as a process whereby children come to conform to the norms teachers believe should govern our practices. This picture problematically presumes that educators know in advance what it means for children to go on the way that is expected of them. In this essay Viktor Johansson suggests a revision of education, through the philosophy of Stanley Cavell, that can account for both the attunement in our practices and the possible dissonance that follows when the teacher and child do not go on together. There is an anxiety generated by the threat of disharmony in our educational undertakings that may drive teachers toward philosophy in educational contexts. Here Johansson offers a philosophical treatment of this intellectual anxiety that teachers may experience when they, upon meeting dissonant children, search for epistemic justifications of their practices—a treatment whereby dissonant children can support teachers in dissolving their intellectual frustrations.

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Over 20,000 Swedish lower high school students are currently learning mathematics in English but little research has been conducted in this area. This study looks into the question of how much second language learner training teachers teaching mathematics in English to Swedish speaking students have acquired and how many of those teachers are using effective teaching practices for second language learners. The study confirms earlier findings that report few teachers receive training in second language learning but indicates that some of the teaching practices shown to be effective with second language learners are being used in some Swedish schools

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In this paper I investigate how philosophy can speak for children and how children can have a voice in philosophy and speak for philosophy. I argue that we should understand children as responsible rational individuals who are involved in their own philosophical inquiries and who can be involved in our own philosophical investigations-not because of their rational abilities, but because we acknowledge them as conversational partners, acknowledge their reasons as reasons, and speak for them as well as let them speak for us and our rational community. In order to argue this I turn, first, to Gareth Matthews' philosophy of childhood and suggest a reconstruction of some of his concepts in line with the philosophy of Stanley Cavell. Second, in order to examine more closely our conceptions of rationality and our pictures of children, I consider the children's books, The Lorax and Where is My Sister? and Henrik Ibsen's play, The Wild Duck.

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The Swedish government has authorised the teaching of mathematics in English to Swedish speaking students. Much of that teaching is performed by foreign trained native English speaking teachers lacking training in second language learners. This systematic review summarises international studies from the last ten years that deal with the teaching of mathematics to second language learners. The review shows that second language students working in a bilingual environment achieve higher rates of content and language knowledge than learners in a monolingual environment. This study also summarises some of the teacher practices that are effective for teaching mathematics in English to second language learners.