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. 

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. 

Optimised dose titration for Duodopatreatment based on simulation experiments– implementation in a decision supportsystem

The aim of this work was to design a set of rules for levodopa infusion dose adjustment in Parkinson’s disease based on a simulation experiments. Using this simulator, optimal infusions dose in different conditions were calculated. There are seven conditions (-3 to +3)appearing in a rating scale for Parkinson’s disease patients. By finding mean of the differences between conditions and optimal dose, two sets of rules were designed. The set of rules was optimized by several testing. Usefulness for optimizing the titration procedure of new infusion patients based on rule-based reasoning was investigated. Results show that both of the number of the steps and the errors for finding optimal dose was shorten by new rules. At last, the dose predicted with new rules well on each single occasion of majority of patients in simulation experiments.

A reason to believe : beliefs as an influence on students task solving

Upper secondary students’ task solving reasoning was analysed, with a focus on what grounds they had for different strategy choices and conclusions. Beliefs were identified and connected with the reasoning that took place. The results indicate that beliefs have an impact on the central decisions made during task solving. Three themes stand out: safety, expectation and motivation.

Who Should do What to Whom? : Occupational Groups´Views on Special Needs

The overall aim of this thesis is to increase our knowledge of different occupational groups´ views on work with children in need of special support. This is explored in four separate studies. The first study investigates the views of occupational groups in preschools and schools in one municipality. A questionnaire was handed out to all personnel (N=1297) in the municipality in 2008 (72.5 % response rate). The second study explores the views of educational leaders (N=45) in the same municipality. Questionnaire # 2 was distributed in 2009. All the educational leaders responded to the questionnaire. The third study describes the views of different occupational groups concerning special educational needs coordinators´ (SENCOs) role and work. This was highlighted by comparing responses from questionnaire #1 and # 2. Responses concerning SENCOs´ work were also added using a third questionnaire. This questionnaire was handed out in 2006 to chief education officers (N=290) in all municipalities in Sweden. The response rate was 90.3%. Finally, the fourth study presents five head teachers´ descriptions of their work with special needs issues. Study four was a follow-up study of questionnaire # 2. These head teachers were selected because of their inclusive values and because they seemed to be effective according to certain criteria. They were interviewed in January 2012. The results reveal a number of interesting findings. For example, there are both similar and different views among the occupational groups concerning work with children in need of special support. A majority of the respondents in all groups state that children´s individual deficiencies is one common reason why children need special support in preschools/schools. Differences between the occupational groups become especially visible regarding their views of SENCOs‟ work. Critical pragmatism (Cherryholmes, 1988) is applied as a theoretical point of departure. Skrtic´s (1991) critical reading and analysis of special education relative to general education is specifically used to interpret and discuss the outcome of the studies. Additionally, Abbott´s (1988) reasoning concerning the “division of expert labor” is used to discuss the occupational groups´ replies concerning “who should do what to whom”. The findings in the studies are contextualized and theoretically interpreted in the separate articles. However in the first part of this thesis (in Swedish: Kappa), the theoretical interpretations of the empirical outcome are discussed in more detail and the results are further contextualized and synthesised. Inclusion and premises for inclusive education are also discussed in more depth in the first part of the present thesis.

Att göra sig anställningsbar : Om instrumentella identitetspositioner och könad säljbarhet

To make oneself employable – instrumental identity positions and gendered marketability. The article takes up the question of the negotiation of expert discourses in career advice and constructing the self in the practice of CV writing. Drawing on data from semi-structured interviews with 19 students (11 women and 8 men) the stories about job search are analyzed. The concept of discursive positioning is used in order to analyze how the students position themselves in relation to career advice and position the self in CV writing. The results show that the female students had difficulties embodying the position as a marketing self as they described it as conflicting with feelings of ‘who they were’. ‘Being you’ in CVs and job interviews is, further, an ideal that is negotiated in relation to what to display as a job-seeking subject. CV writing involves a process of identifying suitable characteristics in an instrumental manner, but it is also combined with an introspective reasoning and identification to find ‘authentic’ strengths and characteristics in ‘who you are’.

Quelques réflexions sur les origines de l'argot français du XXe siècle

Le but de ce mémoire est d’étudier les origines étymologiques des mots argotiques qui ont commencé à être utilisés pendant le vingtième siècle. 100 mots ont été choisis et présentés selon leurs origines. Les mots ont été choisis dans le Dictionnaire de l’argot et du français populaire. Les langues d’origine les plus représentées parmi ces 100 mots ont été étudiées pour voir s’il y a une raison probable pour laquelle le français a emprunté des mots à ces langues. Nous avons classé la plupart des mots en champs lexicaux pour examiner s’il y a un certain type de mots qui sont empruntés et si les langues différentes contribuent à des champs lexicaux différents. L’étude a montré que le français a emprunté des mots argotiques aux beaucoup de langues différentes pendant le vingtième siècle. L’anglais et l’arabe ont contribué avec le plus grand nombre de mots. Pour ces deux langues et pour la plupart des autres langues de l’étude, nous discutons des raisons possibles pour lesquelles les mots ont été empruntés.

Tillhörighetens gränser : Internationell adoption och ursprungets betydelse i svensk utredningsretorik

Boundaries of belonging: transnational adoption and the significance of origin in Swedish official rhetoric This article explores how the category of ‘transnational adoptees’ in Sweden is constructed in two Official Government Reports (SOU). The article is inspired by poststructuralist perspectives on welfare and social categorization, and draws from a postcolonial and feminist theoretical framework. ‘Transnational adoptees’ as a category is understood as constituted through discourse, and given meaning in different contexts. In the reports, a fundamental importance is attached to the fact that individuals with a background as transnationally adopted have been separated from their birth family and country of birth. It is argued that mental problems and a split identity are consequences to be expected from the separation. (Re)connection to the origin is therefore considered to be crucial for the well-being of the group. The article concludes that this line of reasoning is based on a specific logic of blood and roots, in which ‘transnational adoptees’ are understood as belonging to their countries of birth, rather than Sweden. The logic of blood and roots can be read as a form of racialized othering, but also as a discursive exclusion of ‘transnational adoptees’ from Sweden as an imagined, national community.

Critical anthropomorphism and animal ethics

Anthropomorphism has long been considered a cardinal error when describing animals. Ethicists have feared the consequences of misrepresenting animals in their reasoning. Recent research within human-animal studies, however, has sophisticated the notion of anthropomorphism. It is suggested that avoiding anthropomorphism merely creates other morphisms, such as mechanomorphism. Instead of avoiding anthropomorphism, it is argued that it is a communicative strategy that should be used critically. Instances of anthropomorphism in animal ethics are analyzed in this paper. Some analogies made between people and non-human animals in present theories of animal ethics are clear instances of psychological anthropomorphism. Other analogies are implicit cases of cultural anthropomorphism. It is argued that animal ethics needs to take the wider discourse of critical anthropomorphism into account in order to sophisticate the understanding and use of anthropomorphic projections. Anthropomorphism is an efficient tool of communication, and it may be made an adequate one as well.

”När man kollar på bilden tänker man så här” : en receptionsstudie av gymnasieelevers uppfattning om bilder som kunskapskällor i historieundervisningen

Images are used in history education for a variety of reasons, not least to generate interest through a better understanding of historical events and people. The aim of this study was to investigate how historical pictures, either illustrated or documentary/photographic, can be used as a resource for activating and improving pupils' historical empathy, in the way described by Stéphane Lévasque. I conducted a reception study on five different focus groups consisting of pupils from different upper secondary schools in Sweden. The pupils varied with regard to number of credits for admission to upper secondary school. A sixth group of pupils was interviewed as a contrasting control group in order to add perspective to the results. The discussions were based on the pupils' interpretations of 34 selected pictures, all of which were taken from the most common history textbooks. Each pupil was asked to choose the picture he/she felt was the most representative historical image. On the basis of the strategies used by the pupils when interpreting the pictures and discussing them, the material was analysed in accordance with Lévesque's categories: imagination, historical contextualisation and morals. The last category, morals, was further divided into three sub-categories: sense of justice, sympathy and progression. The reflections of the pupils and the degree of contextualisation varied. It appeared that the pupils were less inclined to discuss assumptions about the persons in the pictures; instead they chose to discuss the historical context in question. The pictures in this study did not seem to trigger the pupils to fabricate anachronistic reasoning about history; when they did produce lengthy reasoning, it was contextual, structural and metahistorical. In this context, the pupils who belonged to the group with the highest average of credits showed some signs of reflection on the basis of historical context and some criticism about the historical sources. On no occasion did any of the pupils choose a picture as a concrete expression of injustice. One of the questions this study aimed to explore was whether a lack of historical context affects how pictures trigger emotions and reasoning on the basis of moral aspects. Some of the pupils displayed moral standpoints, primarily the degree of morals concerning injustice. One possible interpretation could be that the feeling of being unfairly treated and subjected to insulting behaviour and social injustice was something the pupils could relate to. The group of pupils who had not yet studied history at upper secondary school, the control group, generally made reflections using this sort of reasoning when they discussed the historical aspects of the pictures.

Lärares uppfattningar om matematiska resonemang : Två lärares uppfattningar om matematiska resonemang

Lärare är personen som planerar, genomför och utvärderar undervisning. Eftersom att elevers matematiska resonemang, enligt aktuella styrdokument, ska utvecklas i undervisningen har läraren en given roll som påverkar hur eleven ges möjlighet att utveckla resonemangskompetens. Hur lärare uppfattar matematiska resonemang blir därmed en nyckelkomponent i vad som sker i undervisningen. Kan elevers förmåga att resonera påverkas om lärare uppfattar matematiska resonemang på skilda sätt? I denna studie diskuteras aktuell forskning om matematiska resonemang och dess betydelse i undervisningen. Två lärare har intervjuats och deras utsagor jämförs med den aktuella forskningen. Dessa kvalitativa intervjuer i relation till forskningen har visat sig öppna dörren för mer omfattande forskning inom detta ämnesområde då intressanta slutsatser har dragits, utan att dessa har generaliserats. I resultaten har det framkommit att elevers förmåga att resonera påverkas i en hög utsträckning av lärarens val att antingen ge elever en redan fungerande strategi eller att låta eleverna själva kämpa med en uppgift. Av intervjumaterialet med två lärare har det framkommit att frågeställningen varför saknas helt medan frågeställningen hur är vanligt förekommande. I denna studie har lärarnas utlåtanden blivit intressanta då forskning har visat att om elevers förmåga att argumentera för egna strategival ska utvecklas är frågeställningen varför avgörande. Därmed påverkar lärares uppfattningar om matematiska resonemang elevers förmåga att föra matematiska resonemang.

PokerMapper: : mapping executive functions, poker playing ability and responsible gambling in online environments

Research objectives Poker and responsible gambling both entail the use of the executive functions (EF), which are higher-level cognitive abilities. The main objective of this work was to assess if online poker players of different ability show different performances in their EF and if so, which functions are the most discriminating ones. The secondary objective was to assess if the EF performance can predict the quality of gambling, according to the Gambling Related Cognition Scale (GRCS), the South Oaks Gambling Screen (SOGS) and the Problem Gambling Severity Index (PGSI). Sample and methods The study design consisted of two stages: 46 Italian active players (41m, 5f; age 32±7,1ys; education 14,8±3ys) fulfilled the PGSI in a secure IT web system and uploaded their own hand history files, which were anonymized and then evaluated by two poker experts. 36 of these players (31m, 5f; age 33±7,3ys; education 15±3ys) accepted to take part in the second stage: the administration of an extensive neuropsychological test battery by a blinded trained professional. To answer the main research question we collected all final and intermediate scores of the EF tests on each player together with the scoring on the playing ability. To answer the secondary research question, we referred to GRCS, PGSI and SOGS scores.  We determined which variables that are good predictors of the playing ability score using statistical techniques able to deal with many regressors and few observations (LASSO, best subset algorithms and CART). In this context information criteria and cross-validation errors play a key role for the selection of the relevant regressors, while significance testing and goodness-of-fit measures can lead to wrong conclusions.   Preliminary findings We found significant predictors of the poker ability score in various tests. In particular, there are good predictors 1) in some Wisconsin Card Sorting Test items that measure flexibility in choosing strategy of problem-solving, strategic planning, modulating impulsive responding, goal setting and self-monitoring, 2) in those Cognitive Estimates Test variables related to deductive reasoning, problem solving, development of an appropriate strategy and self-monitoring, 3) in the Emotional Quotient Inventory Short (EQ-i:S) Stress Management score, composed by the Stress Tolerance and Impulse Control scores, and in the Interpersonal score (Empathy, Social Responsibility, Interpersonal Relationship). As for the quality of gambling, some EQ-i:S scales scores provide the best predictors: General Mood for the PGSI; Intrapersonal (Self-Regard; Emotional Self-Awareness, Assertiveness, Independence, Self-Actualization) and Adaptability  (Reality Testing, Flexibility, Problem Solving) for the SOGS, Adaptability for the GRCS. Implications for the field Through PokerMapper we gathered knowledge and evaluated the feasibility of the construction of short tasks/card games in online poker environments for profiling users’ executive functions. These card games will be part of an IT system able to dynamically profile EF and provide players with a feedback on their expected performance and ability to gamble responsibly in that particular moment. The implementation of such system in existing gambling platforms could lead to an effective proactive tool for supporting responsible gambling.