On Aspects of Mathematical Reasoning : Affect and Gender

This thesis explores two aspects of mathematical reasoning: affect and gender. I started by looking at the reasoning of upper secondary students when solving tasks. This work revealed that when not guided by an interviewer, algorithmic reasoning, based on memorising algorithms which may or may not be appropriate for the task, was predominant in the students reasoning. Given this lack of mathematical grounding in students reasoning I looked in a second study at what grounds they had for different strategy choices and conclusions. This qualitative study suggested that beliefs about safety, expectation and motivation were important in the central decisions made during task solving.  But are reasoning and beliefs gendered? The third study explored upper secondary school teachers conceptions about gender and students mathematical reasoning. In this study I found that upper secondary school teachers attributed gender symbols including insecurity, use of standard methods and imitative reasoning to girls and symbols such as multiple strategies especially on the calculator, guessing and chance-taking were assigned to boys. In the fourth and final study I found that students, both male and female, shared their teachers view of rather traditional feminities and masculinities. Remarkably however, this result did not repeat itself when students were asked to reflect on their own behaviour: there were some discrepancies between the traits the students ascribed as gender different and the traits they ascribed to themselves. Taken together the thesis suggests that, contrary to conceptions, girls and boys share many of the same core beliefs about mathematics, but much work is still needed if we should create learning environments that provide better opportunities for students to develop beliefs that guide them towards well-grounded mathematical reasoning. 

Toleransbegreppets mångtydighet : En analys av läroplansbegreppet tolerans inom kontexten för ämnet religionskunskap

This litterature study is an analysis of the concept of tolerance, as it is a central value in the curriculum for the Swedish upper secondary school (Gy11) and therefore an important part of interpreting the specific curriculum for religious studies. The scientific approach is drawn from curriculum theory and the method of analysis is hermeneutic. Four different understandings of the concept are presented from academic literary sources. To further problematize the understandings of the concept, critique against a ”pedagogy of tolerance” as expressed by normcritical pedagogical writers and scholars is presented and analyzed. Implications regarding didactical practice are discussed in the light of previous analysis. Two main criteria for tolerance were found in all four understandings. These criterias outline the necessary components of an act of tolerance. The critique mainly focuses on said act, as it is an act of power and differentiation. This implies the didactical importance of awareness regarding the complexity of an act of tolerance.

Teaching grammar: A study of the common English grammar errors and grammar teaching methods that can be relevant for Swedish upper secondary schools

Grammar has always been an important part of language learning. Based on various theories, such as the universal grammar theory (Chomsky, 1959) and, the input theory (Krashen, 1970), the explicit and implicit teaching methods have been developed. Research shows that both methods may have some benefits and disadvantages. The attitude towards English grammar teaching methods in schools has also changed and nowadays grammar teaching methods and learning strategies, as a part of language mastery, are one of the discussion topics among linguists. This study focuses on teacher and learner experiences and beliefs about teaching English grammar and difficulties learners may face. The aim of the study is to conduct a literature review and to find out what scientific knowledge exists concerning the previously named topics. Along with this, the relevant steering documents are investigated focusing on grammar teaching at Swedish upper secondary schools. The universal grammar theory of Chomsky as well as Krashen’s input hypotheses provide the theoretical background for the current study. The study has been conducted applying qualitative and quantitative methods. The systematic search in four databases LIBRIS, ERIK, LLBA and Google Scholar were used for collecting relevant publications. The result shows that scientists’ publications name different grammar areas that are perceived as problematic for learners all over the world. The most common explanation of these difficulties is the influence of learner L1. Research presents teachers’ and learners’ beliefs to the benefits of grammar teaching methods. An effective combination of teaching methods needs to be done to fit learners’ expectations and individual needs. Together, they will contribute to the achieving of higher language proficiency levels and, therefore, they can be successfully applied at Swedish upper secondary schools.

LEARNING STUDY: ROZVOJ ŠKOLY SKRZE KOLEGIÁLNÍ UČENÍ UČITELŮ : Learning study: school development through collegial learning of teachers

The aim of this article is to describe how the Learning Study method (LS) was implemented in a Swedish upper secondary school, as well as how the principals and the teachers involved perceived this to affect teaching at, and the development of, the school. It is an empirical study that was conducted as an action research project over a period of three years. The project to implement the LS method was based on the assumption that proper training is the result of collegial activity that occurs when teachers learn from each other. The teachers in this study were, in general, positive about using the LS method. It created opportunities to meet and talk about teaching skills, developed better professional relationships between colleagues, and offered a systematic method for planning, implementing and monitoring teaching. However, working together requires that time be set aside to allow for implementation of the LS method. This is crucial, as the LS method is a rather expensive way to make school development work. This places heavy demands on principals to create the necessary conditions for the implementation of the LS method.

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

Värdefull litteratur : Fyra gymnasielärare om samhällsuppdragets etik i förhållande till litteraturen i klassrummet

The ethical aspects of the Swedish Curriculum for the non-compulsory school system, Lpf94, will form the basis of the research in this essay. The ethical aspects constitute fundamental values and goals as well as common tasks that must be carried out by every teacher. Since the school debate focuses a lot on this perspective, which is often mentioned together with the words problematic and contradictory, it will consequently also be the focus of this essay. Here these features are treated in relation to literature in all its forms used by teachers in class, which also represents a part of the school debate. Together ethics and literature form a perspective that lacks research. The goal is to investigate the ethical awareness of teachers in relation to the literature, and find out which ethical decisions are made by teachers and in what ways the ethical aspects of the curriculum is fulfilled. A qualitative method has been used in order to gain results: four upper secondary school teachers/senior high school teachers have been interviewed. The results are presented in interview transcripts which have been analyzed and interpreted in the light of recent studies and research and pedagogical-didactical literature. Accordingly I have been able to draw the conclusions that the ethical features in teaching is not explicit and that there seldom seems to be any conscious ethical reflections in relation to the literature. The ethical aspects are rather invisible and unconscious. However, it is clear that the interviews raise the awareness of the ethical perspective and thus emphasize the growing and developing function of the dialogue. Finally the results have been interpreted from the point of view of the ethical tasks of the teacher in order to make the ethics visible.I detta examensarbete ligger fokus på de etiska aspekterna av samhällsuppdraget i förhållande till den litteratur som lärare använder sig av i klassrumsundervisningen. Eftersom en stor del av skoldebatten handlar om samhällsuppdraget och dess värdegrund utgör också detta perspektiv utgångspunkten för denna undersökning. Målet är att undersöka vilka etiska avvägningar lärare gör i valet av litteratur och på vilket sätt samhällsuppdragets etik blir synlig i lärares arbete. Därmed framkommer också till viss del i vilken omfattning värdegrundsarbetet sker. Genom en kvalitativ undersökningsmetod i form av samtal har fyra gymnasielärare intervjuats. Erhållna resultat har presenterats i form av intervjutranskript som analyserats och tolkats med hjälp av aktuell forskning och pedagogisk-didaktisk litteratur. De slutsatser som kan dras utifrån resultaten är att etiken i lärarnas arbete inte är explicit och att det oftast inte finns en medveten etisk reflektion utifrån litteraturen. Etiken är snarare osynlig och tämligen omedveten. Dock medvetandegörs den under samtalen vilket framhåller dialogens betydelse för utveckling. Vidare framkommer att etiken aldrig är ett mål i sig, utan fungerar mer som medel för att nå andra mål i klassrummet. Slutligen, för att synliggöra etiken, har resultaten tolkats utifrån de etiska krav i samhällsuppdraget som ställs på lärare.

Svensklärares arbete : om villkor för gymnasieskolans svenskämne

The aim of this didactic study is to understand the terms of work, education and teaching of Swedish in a period round 2000. The research questions focus on how teachers at upper secondary school in conversations describe and construct their work, values in society and school, structures of power and relation to time. With the help of tools related to story and storytelling, and by connecting the empirical material to a late modern society, I caninterpret and understand the description of their work. With the help of Pierre Bourdieu’s theory I can see how values, power and relation to time are expressed in different ways when teachers of Swedish talk about their work and education.The results show that when teacher talk about work in school is it related to ideals in a global economy. Decentralization and individualization get new meanings when those words are placed in school environment and activity. Effectiveness, flexibility and individualization are words related to economy and they seem to have an effect on education and subjects of Swedish. I can also understand teachers’ work when it is related to power and values on the educational field. I can see how a diffuse power acts on the field and how harmony is a dominant value and a term that influences teachers’ work. New terms also form new identities related to teaching. New terms form new subjects of Swedish that in time and practice will form newhabitus connected to subjects. I call it ämneskonceptionella habitus.

Skriftpraktiker i gymnasieskolan : Bygg- och omvårdnadselever skriver

Literacy Practices in Upper Secondary School. The Writing of Construction and Health CarePupilsThe aim of the dissertation is to demonstrate and explain the place and function writing has in allsubjects in two vocational classes in a Swedish upper secondary school. The material has beencollected through ethnographic field studies in construction and health care classes over one schoolyear. The material consists of literacy events, where pupils write, and the context of situation andtext are noted.In theoretical terms the study takes a discourse analysis perspective, where writing is seen fromwithin different frames. Writing is analysed based on an ideological view of literacy inspired byNew Literacy Studies using the context of situation and text with the aim of describing differentliteracy practices in both classes.The material was classified into three different situation types, two school-initiated and one nonschool-initiated. The first school-initiated situation type is orally-governed, the second writinggoverned,while it is less clear how the non-school-initiated type is inspired.In the writing situations we investigate the writing activities that are used, while texts areanalysed based on text acitivites. Writing and text activities are used together to explain the writingcompetences that are used in the writing situations.The conclusions are that writing gets little space and attention in both classes. The healthcare class writes in more situations and also writes longer texts than the construction class.Literacy practices differ between the classes. The health care class demonstrates one schoolgovernedwriting practice, while the construction class moves between two different schoolgovernedpractices. The literacy practices in the construction class are similar to the writing usagethat can be found at a building site. Writing is used in both classes mainly to structure and storeknowledge.The non-school-governed material also shows differences between the classes. Here too morewriting takes place in the health care class. The function of the non-school-governed writing is tocommunicate and inform through writing.

Lärares beskrivningar av evolution som undervisningsinnehåll i biologi på gymnasiet

Biological evolution is part of the syllabi for Biology and Science in Swedish upper secondary school. In the syllabi, evolution is not only presented as a topic in Biology courses, but is also regarded as a unifying theme. The teacher has a fundamental role in deciding how the national curriculum is translated into the educational situation. This thesis investigates teachers’ accounts of their teaching of evolution in Swedish upper secondary school, describing their understandings of the purpose of teaching and learning evolution as part of biology education. The thesis is based on interviews of teachers teaching the course Biology A, which is compulsory as dictated by the Natural Science Program. The interviews were supplemented with questionnaires. The interviews were orientated towards questions about selection of course content and the reasons for choosing this content. The interviews were focused on teachers experiences based on their own practice. Two aspects of content were examined: (1) the scientific content taught in terms of themes and (2) the socializing value-laden aspects, such as priorities taken by the teachers and the teachers´ overarching aims.   The results showed that teachers described different teaching contents with regard to values, even when the core content of themes was similar. Four different selective traditions for choosing content were identified among teachers. The results are discussed in relation to the context and conditions that the teachers identify as influential on the content chosen. Teachers’ interactions with their students as well as their world views are important for their selection and adjustment of content. There are also indications that teachers’ personal views about purposes are important for selecting the teaching content.

Förlorad i övergången från aritmetik till algebra : Hur gymnasieelever översätter aritmetik till algebra

The aim of this thesis is to look for signs of students’ understanding of algebra by studying how they make the transition from arithmetic to algebra. Students in an Upper Secondary class on the Natural Science program and Science and Technology program were given a questionnaire with a number of algebraic problems of different levels of difficulty. Especially important for the study was that students leave comments and explanations of how they solved the problems. According to earlier research, transitions are the most critical steps in problem solving. The Algebraic Cycle is a theoretical tool that can be used to make different phases in problem solving visible. To formulate and communicate how the solution was made may lead to students becoming more aware of their thought processes. This may contribute to students gaining more understanding of the different phases involved in mathematical problem solving, and to students becoming more successful in mathematics in general.The study showed that the students could solve mathematical problems correctly, but that they in just over 50% of the cases, did not give any explanations to their solutions.

Teachers' conceptions about students' mathematical reasoning : Gendered or not?

This study looks at how upper secondary school teachers gender stereotype aspects of students' mathematical reasoning. Girls were attributed gender symbols including insecurity, use of standard methods and imitative reasoning. Boys were assigned the symbols such as multiple strategies especially on the calculator, guessing and chance-taking. 

Ways of knowing in ways of moving : A study of the meaning of capability to move

The overall aim of this thesis has been to investigate the meaning of the capability to move in order to identify and describe this capability from the perspective of the one who moves in relation to specific movements. It has been my ambition to develop ways to explicate, and thereby open up for discussion, what might form an educational goal in the context of movements and movement activities in the school subject of physical education and health (PEH). In this study I have used a practical epistemological perspective on capability to move, a perspective that challenges the traditional distinction between mental and physical skills as well as between theoretical and practical knowledge. Movement actions, or ways of moving, are seen as expressions of knowing. In order to explore an understanding of the knowing involved in specific ways of moving, observations of  actors’ ways of moving and their own experiences of moving were brought together. Informants from three different arenas took part: from PEH in upper secondary school, from athletics and from free-skiing. The results of the analyses suggest it is possible to describe practitioners’ developed knowing as a number of specific ways of knowing that are in turn related to specific ways of moving. Examples of such specific ways of moving may be discerning and modifying one’s own rotational velocity and navigating one’s (bodily) awareness. Additionally, exploring learners’ pre-knowing of a movement ‘as something’ may be fruitful when planning the teaching and learning of capability to move. I have suggested that these specific ways of knowing might be regarded as educational goals in PEH. In conducting this study, I have also had the ambition to contribute to the ongoing discussion of what ‘ability’ in the PEH context might mean. In considering specific ways of knowing in moving, the implicit and taken-for-granted meaning of ‘standards of excellence’ and ‘sports ability’can be discussed, and challenged.

Vocational English in policy and practice

The aim of this licentiate thesis is to examine how, and in what ways, vocational English is a part of English language teaching in the Building and Construc­tion Programme in Sweden, and what the influences are for such pedagogy. The main research question is how policy documents relate to the views of teachers and their educational practice regarding vocational English. The study consists of two parts: a textual policy analysis of the three latest upper secondary school reforms in Sweden (Lgy 70, Lpf 94, and Gy 2011), and semi-structured interviews with practicing English teachers in the Building and Construction Programme. The interviews are categorised by using Spradley’s (1979) semantic relationships and taxonomies. Balls’ (Ball, 1993) and Ozga’s (1990; 2000) concept of policy enactment is used in the analysis as well as Bernstein’s (1990; 2000) theoretical framework of classification, framing, and horizontal and vertical discourse. The results show that five of the six teachers in the interviews work with vocational English in some way. The study also shows that there is a distinct gap between policy and practice. Several of the teachers have the notion that they are supposed to work with vocational English and that it must be written down in policy somewhere. The greatest influence on the teaching for these teachers are their students, either indirectly or directly. Further, the study shows that different frame factors such as time poverty hinders the teachers from reading policy texts and cooperating with the vocational teachers in the Building and Construction Programme.

Abilities and Cultural Understanding through Literature in the EFL Classroom : - A Literature Review

The English language can be seen as a lingua franca of contemporary times. Its spread and use in the globalized world has affected most levels of society and it can be argued that, in current times, English is synonymous with communication. This need for communication has shaped the English as a Foreign Language (EFL) syllabus, which is evident in the Swedish national steering documents for the educational system. For the upper secondary school these documents show an emphasis on communication, on cultural understanding, and also on the use of literature within the EFL classroom. The need to possess communicative abilities and cultural understanding, in connection with the use of literature, has sparked an interest to investigate if and how literature itself can be used as a tool to develop and improve EFL students’ communicative skills and cultural understanding. This literature review thesis analyzes five international research articles from different geographical parts of the Globe. The findings are categorized, compared, synthesized, and finally discussed in order to answer the research questions asked, and also compared with the English subject syllabus for the Swedish upper secondary school. The findings indicate that the analyzed articles share a consensus, to a varied degree, regarding the positive aspects of literature use in the EFL setting. The arguments are that communicative skills and cultural understanding are intertwined - enabling each other to exist, develop, and improve. One cannot exist fully without the other, and literature is a good tool to use to develop and improve these abilities. Literature can help develop all skills needed to acquire and produce both written and spoken English, and it also enables cultural understanding and a broadening of the mind. Where the articles differ somewhat is in the ideas of why literature is a good tool, how to implement literature in the classrooms, and what some of the negative aspects might be. The thesis also brings the lack of Swedish studies within EFL to the readers’ attention, as well as the need to do more research focusing on the students’ perspectives towards literature use in the EFL setting.

Nationella minoriteter i historieundervisningen : bilder av romer i Utbildningsradions program under perioden 1975-2013

In 2000 when Sweden signed the Framework Convention for the Protection of National Minorities the Roma minority became one of the acknowledged national minorities in the country. It meant that the rights of the Roma mi-nority would be safeguarded and the knowledge of its history and culture would be spread. In that context, the Swedish school, with its founded as-signment of democracy, was given an important role. The education was to communicate the multicultural values of the society and to make visible the history and culture of the Roma minority. The school books used in teaching today do not meet these demands. The view of the Roma minority given in school books is often inadequate and simplified. The present study will therefore examine a different type of edu-cational material used in schools and teaching, The Swedish Educational Broadcasting Company‟s programs of history and social studies regarding the Roma minority. Starting in postcolonial theory as well as critical dis-course analysis the study examines how the picture of the Roma cultural and ethnic identity in the Swedish Educational Broadcasting Company‟s material has been displayed and possibly changed during the period of 1975 to 2013. The results show a picture of Roma which, both in form and content, con-sists of some clearly demarcated discursive categories. The obvious continui-ty of the categories gives a picture of static and invariable Roma identity. At the same time this unambiguous picture is broken both by giving the existing discourses new meaning and also adding new discourses. The complexity and nuances become more prominent and the Roma identity is integrated in common Swedish history telling. The changes in the view of Roma, given by the Swedish Educational Broadcasting Company, can mainly be explained by the change of the Swedish immigration and minority policy and, as a conse-quence of this, the change of the school‟s mission regarding knowledge communication of Sweden as a multicultural country.