The aim of my study is to investigate how last year students in upper secondary schoolunderstand certain mathematical concepts, in particular the unit circle and its trigonometry.I have used intentional analysis to interpret student?s actions when they solve certain tasks onthe basis of a cognitive, situated and cultural context.Interviews with four university teachers in mathematics about the unit circle, trigonometry,and mathematical understanding, serve both as background for the study and as basis for adiscussion, where I relate students understanding to what the teachers want new students toknow about these concepts when they begin university studies in mathematics.The students were arranged in three groups with three students in each group. Each group waspresented with two tasks, one in which they were asked to calculate the cosine values for onepointed, one blunt and one straight angle, each located in a separate triangle. They were alsoasked to decide whether the points (0,71; 0,71) and d (1 2 , 3 2 ) are located on the unit circleor not.My conclusion is that students mainly have an operational conception of the unit circle andtrigonometry. The lack of structural conceptions result in difficulties in seeing connectionsbetween the concepts in unfamiliar situations.

My purpose in this paper is to study teachers' work in reading and writing in primary school and special school. I want to find out if they use the same methods, strategies and materials to help students learn to read and write. I will find out the answer to my purpose by performing two qualitative observation and two qualitative interviews. Lundberg (2010) is the researcher I relate to during my study. Through observation, I see how teachers work with students in the classroom during a lesson in the Swedish language. During the interviews, I received answers to how teachers work with language, the materials, methods and strategies they use. I found out that teachers use specific strategies when they help their students. They use a work material that is tailored to curriculum in Swedish language and it is based on the phonics method. .

This paper is about basic set theory and cardinalities for infinite sets. One of the results are that the line R and the plane R2 contains exactly the same number of points. Because of that the set theory is described with a formal language this the paper has an appendix about formal languages..

The purpose of this study is to investigate how teachers approach communication in their mathematics instruction. The communication involves concepts such as teachers' mathematical language, incorrect answers, and various interaction patterns. In line with this, the study also examines how these types of communication may affect students in the classroom. Furthermore, observations and interviews were conducted with five different teachers in Sweden using an observation scheme and an interview guide. The results reveal that four out of the five teachers use both child-directed and adult-directed language when addressing students at different levels of mathematical understanding.

The purpose of this developmental research was to test the new way of working when the students were to take part in planning of cooking during the lessons in home and consumer studies, because the aim of the school is to teach the students to take the responsibility for their studies. The two first lessons should be used by students in the group to plan and organize their meal. During the third lesson the students must be responsible for cooking ready their meal and afterwards they must evaluate the results. The results of this new way of working was new for the students and they thought it was fun to be responsible for cooking during these lessons in home economics. The students in the groups were of wixed ability and they developed their knowledge from the levels of their ability.

Syftet med föreliggande studie är att, genom intervjuer med tolv elever ur år fem, undersöka deras uppfattningar om matematik. För att studera detta har vi använt oss av en kvalitativ metod med inspiration av den fenomenografiska ansatsen. Utifrån studiens syfte och frågeställningar har tre temaområden framtagits inom vilka elevernas uppfattningar analyserats och därefter kategoriserats. Ur resultatet framkommer en relativt snäv syn på matematiken där läroboken är dominerande i elevernas uppfattningar. Boken fungerar som utgångspunkt både i definitionen av matematikämnet och vid beskrivningen av hur ämnet upplevs.

AbstractI have chosen to make a study of the learning of reading and writing, as well as other learning difficulties that may occur, in this research.My choice of subject is based on the realizations I made during my time as a student teacher; that each teacher has his/her own way of teaching reading and writing. Sometimes, however, learning difficulties occur, and this insight caught my attention. It made me think about the underlaying reasons and how we, as teachers, can bring attention to these difficulties. With these questions in mind, I recorded my observations based on a series of interviews and literary studies in an attempt to answer my questions. The resulting research emphasizes how important the actions from the teachers are, as well the importance of having variety in your lesson plan.

The aim of this study was to investigate preschool children's perceptions of trees in and it was done through qualitative interviews. The children were drawing trees and told me what the tree needs to grow and what happens to the leaves in autumn. In a playful way, they learned more about trees and the purpose was also to examine whether they had acquired new experiences and thoughts on the trees, photosynthesis and decomposition. Then the children were interviewed again to see if their answers were different. The results showed that the children gave different answers at the second interview.

Rubriken till detta arbete kommer från Matematikdelegationens betänkande, ?Att lyfta matematiken?. Utbildningsdepartementet fick i uppdrag att ta fram en handlingsplan som skulle syfta till att förändra synen på matematik och öka intresset för matematikämnet hos Sveriges elever. I betänkandet presenteras fyra huvudmål för matematiksatsningen: 1. Stöd och utveckla aktiviteter som ökar intresset för och insikterna om matematikens värde, roll och betydelse i vardag, yrkesliv, vetenskap och samhälle.

Forskning har visat att elevers intresse för matematik avtar ju äldre de blir. En av orsakerna till detta kan vara den traditionella matematiken som till stor del består av symboler och tekniker för att hitta rätt svar. För att få engagerade elever som intresserar sig för matematik måste undervisningen förändras. I min uppsats vill jag därför lyfta fram författare och lärare som intresserar sig för den matematiska utvecklingen..

This study aims to explain how teachers for students aged 11-13 years old work with comprehension of words, based on reading fictional texts. The question formulations the study aims to survey is how teachers declare they are working with word-comprehension with basis in fictional texts for bothfirst- and second language learners, and how this shows in their pedagogical practice. The study also aims to survey what the effects are on the students´ learning, according to the teachers, by using this teaching-methods. In an attempt to examine this, interviews have been performed with three teachers working at different schools, teaching Swedish for students in the elementary school. In the interviews the teachers was asked questions in aim to research their methods of teaching wordcomprehension, followed up by two lesson-observations per class of each teachers´ pedagogical practice..

Syftet med den här studien var att se vilka uppfattningar lärare har om att eleverna i en klass befinner sig på olika kunskapsnivåer kopplat till matematik. Studien bygger på kvalitativa intervjuer med lärare som arbetar i årskurs 6. Litteraturen tydliggör vikten av att alla elever får möjligheter att utvecklas utifrån sina egna förutsättningar och behov. Hur undervisningen läggs upp och hur grupperna ser ut varierar, men dialogen mellan lärare och elev samt en varierande pedagogik är två betydelsefulla inslag som lyfts fram. Resultatet visar att lärarna ser stora fördelar med att ha elever som är på en jämn kunskapsnivå, men de vänder också skillnaderna till något positivt och utnyttjar det i undervisningen.

An important task for Region Skåne is to allocate resources to the health care districts. From 1999 to 2002 Region Skåne used needs-based resource allocation as a model for allocating resources. In a needs-based resource allocation individuals with the same socioeconomic and demographic characteristics are assumed to have the same level of need and are therefore allocated the same amount of resources. During the period of needs-based resource allocation a matrix model was used as a method. In the matrix model individuals were divided into cells after each combination of the socioeconomic and demographic variables.

Matematiskt begåvade elever är i behov av lika mycket stöd, variation och utmaningar som alla andra elever. Därför är det viktigt att dessa elever inte kommer i skymundan och får ?klara sig själva?. Syftet med denna studie är att synliggöra matematiskt begåvade elevers uppfattning om hur deras matematikundervisning ser ut idag, hur de själva lär sig bäst, samt hur de anser att matematikundervisningen ska utformas för att de ska ha möjlighet att utvecklas efter sin fulla förmåga. Med stöd i teori och tidigare forskning valdes sex matematiskt begåvade elever från år 4 ut för att medverka i denna undersökning.

In the western world, strokes are the third most common cause of death, hitting mainly the elderly population. Smoking, high blood pressure, diabetes and overweight are known risk factors for causing strokes. Previous studies show that an increased level of particulate matter, PM, is also related to an increased number of strokes. The population in this study consists of patients over 65 years old who live in Malmö. Levels of particulate matter were measured from October 2004 to April 2005 at a central outdoor monitoring site in Malmö.