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.

Livsfrågor och religionskunskap : En belysning av ett centralt begrepp i svensk religionsdidaktik

This thesis focuses on “livsfrågor” (questions of life) a typical Swedish concept introduced in the RE syllabus in the curriculum for compulsory schools in 1969. The study poses three questions: what can qualify as a “livsfråga”, why are they regarded important, and how do they fit into teaching? The main purpose is to study differences of the concept in two materials. Primarily interviews with Teacher educators all over Sweden and, secondly in the R.E. syllabus for compulsory and secondary schools from 1962 until today. Finally, the two materials used, will be brought together, and foci are recognized with the help of a tool for thought.  The study is using the concept dialogicity from Bachtin. Syllabus are viewed as compromises in accordance with a German tradition. In the syllabus, “livsfrågor” is one within many different words used with none what so ever stringency. It is not necessarily the most important term, as “livsåskådningsfrågor” (questions within philosophies of life)  is often dominating in objectivities. Also “existential questions” etc is used. The relation between the words are never made clear.  The syllabus are in one sense monologial as different meanings of the word are not made explicit, and other utterances are not invoked. In the interviews the dialogicity is more obvious. Philosophy is mentioned, eg.. Martin Buber, Viktor Frankl, theology (Paul Thillich), but also literature (Lars Gyllensten) and existentialism in a general sence. Other words are not as frequent – but “livsåskådningsfrågor” are of course mentioned, eg. Faith vs. knowledge. In the last chapter “livsfrågor” is problematized with the help of Andrew Wright and his three metanarrativies within the modern R.E. And the assumption, especially in the syllabus, of “livsfrågor”, as common between cultures and over time is problematized with the help of . feministic theory of knowledge.

Knowledge and writing in school mathematics : a communicational approach

This thesis is about young students’ writing in school mathematics and the ways in which this writing is designed, interpreted and understood. Students’ communication can act as a source from which teachers can make inferences regarding students’ mathematical knowledge and understanding. In mathematics education previous research indicates that teachers assume that the process of interpreting and judging students’ writing is unproblematic. The relationship between what students’ write, and what they know or understand, is theoretical as well as empirical. In an era of increased focus on assessment and measurement in education it is necessary for teachers to know more about the relationship between communication and achievement. To add to this knowledge, the thesis has adopted a broad approach, and the thesis consists of four studies. The aim of these studies is to reach a deep understanding of writing in school mathematics. Such an understanding is dependent on examining different aspects of writing. The four studies together examine how the concept of communication is described in authoritative texts, how students’ writing is viewed by teachers and how students make use of different communicational resources in their writing. The results of the four studies indicate that students’ writing is more complex than is acknowledged by teachers and authoritative texts in mathematics education. Results point to a sophistication in students’ approach to the merging of the two functions of writing, writing for oneself and writing for others. Results also suggest that students attend, to various extents, to questions regarding how, what and for whom they are writing in school mathematics. The relationship between writing and achievement is dependent on students’ ability to have their writing reflect their knowledge and on teachers’ thorough knowledge of the different features of writing and their awareness of its complexity. From a communicational perspective the ability to communicate [in writing] in mathematics can and should be distinguished from other mathematical abilities. By acknowledging that mathematical communication integrates mathematical language and natural language, teachers have an opportunity to turn writing in mathematics into an object of learning. This offers teachers the potential to add to their assessment literacy and offers students the potential to develop their communicational ability in order to write in a way that better reflects their mathematical knowledge.

Mellan frihet och kontroll : Om läroplanskonstruktioner i svensk skola

The aim of this thesis is to explore how different competing discourses in the historical context of the Swedish education development have qualified and disqualified different constructions of national curriculum. How and after what kind of principles is the curriculum constructed? What qualify who are going to be recognized as the author and addressee of the curriculum? These key ques-tions of the study are discussed in the first part of the thesis. My point of depar-ture is that the curriculum can be understood as a relation between freedom and control. In an educational system this relationship reflects the problematic ten-sion between the external demands from an authoritative center and the local need to independently reflect over educational issues. How these concepts are defined by the prevailing social discourses affect specific relations and construc-tions of curricula as a steering tool and a producer of specific teacher identities. In this sense, I claim that curriculum is constructed in different ways depending on which of the didactic questions are emphasized and answered and who is judged as the legitimate author. Based on this, three models of curriculum con-struction are formulated; the content based, the result based and the process based. These models are subsequently used as an analytical tool to examine the historical development of Swedish national curricula. The second part of the thesis investigates the Swedish education system and the production of the national curriculum as a product of rival discourses. The historical investigation begins 1842 when the first state curriculum was issued and the inquiry concludes in 2008. The findings indicate that no one single con-struction has been totally dominant and that there has been an on-going discur-sive struggle between different alternative and opinions about what teachers must do and be.

Upper secondary school students' gendered conceptions about mathematics

This study explores Swedish Natural Science students' conceptions about gender and mathematics. I conducted and compared the results from two questionnaires. The first questionnaire revealed a view of rather traditional feminities and masulinities, a result that did not repeat itself in the second questionnaire. There was a discrepancy between the traits the students ascribed as gender different and the traits they ascribed to themselves.

Languaging in virtual learning sites : studies of online encounters in the language-focused classroom

This thesis focuses upon a series of empirical studies which examine communication and learning in online glocal communities within higher education in Sweden. A recurring theme in the theoretical framework deals with issues of languaging in virtual multimodal environments as well as the making of identity and negotiation of meaning in these settings; analyzing the activity, what people do, in contraposition to the study of how people talk about their activity. The studies arise from netnographic work during two online Italian for Beginners courses offered by a Swedish university. Microanalyses of the interactions occurring through multimodal video-conferencing software are amplified by the study of the courses’ organisation of space and time and have allowed for the identification of communicative strategies and interactional patterns in virtual learning sites when participants communicate in a language variety with which they have a limited experience. The findings from the four studies included in the thesis indicate that students who are part of institutional virtual higher educational settings make use of several resources in order to perform their identity positions inside the group as a way to enrich and nurture the process of communication and learning in this online glocal community. The sociocultural dialogical analyses also shed light on the ways in which participants gathering in discursive technological spaces benefit from the opportunity to go to class without commuting to the physical building of the institution providing the course. This identity position is, thus, both experienced by participants in interaction, and also afforded by the ‘spaceless’ nature of the online environment.