Children’s conceptions about mathematics and mathematics education

This paper deals with younger students’ (grade 2 and 5) conceptions about mathematics and mathematics education. The questionnaire consisted of three parts: (1) statements with a Likert-scale; (2) open-end questions where the students could explain further their conceptions; and, (3) a request to draw a picture of yourself doing mathematics. The results from the statements were summarised and the pictures were analysed. Most students in grade 2 had a positive attitude towards mathematics whereas a larger proportion in grade 5 gave negative answers. All students presented mathematics as an individual activity with a focus on the textbook. The elder students narrow the activity down to calculating. A post-questionnaire confirmed the results.

The Philosophy of Dissonant Children : Stanley Cavell's Wittgensteinian Philosophical Therapies as an Educational Conversation

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.

Teaching Mathematics in English to Swedish Speaking Students : The Use of Second Language Teaching Practices in the Teaching of Mathematics in English to Swedish Speaking Students in Lower Secondary School

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