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.

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.

Oestrus in dairy cattle has changed over the last decades; the intensity of oestrus has declined and the duration decreased. Several studies have shown that not all dairy cows stand to be mounted, and that oestrus expression in many cases may be characterized by other behaviours. The aim of this study was to investigate oestrus behaviour in a herd of todays? high producing dairy cattle. The study was carried out at Jälla naturbruksgymnasium in Uppsala during one week in January 2011.

Lärare planerar undervisning och väljer vad eleverna ska arbeta med. Denna studie syftar till att undersöka lärares tankar om vilket matematiskt innehåll elever möter samt vilka förmågor elever tränar i arbetet med en uppgift i matematik. Studien genomfördes genom intervjuer med fem lärare som fick svara på frågor kring en uppgift i matematik. De övergripande frågorna handlade om matematiskt innehåll och förmågor, men även uppgiftens koppling till Lgr11 efterfrågades. Lärarnas svar kopplades till de specifika kunskaper som behövs för att undervisa i matematik.Studien visade att lärarna i hög utsträckning sorterade in uppgiften inom området kombinatorik och att de framförallt såg uppgiften som en problemlösningsuppgift.

The purpose of this study is to describe how dandelion children has experienced their childhood and how their childhood has formed them in their adulthood. The purpose is also to examine how the attachment between the child and the parents has come to expression. To search for the answers of the purpose the following issues has been created: How do dandelion children experience that their upbringing has formed them as a human being in adulthood? and How do dandelion children experience the attachment to their parents have been expressed during childhood? The empirical material of this study is based on a qualitative approach where the material has been assembled by semi-structured interviews with five respondents. The result shows that all the respondents has experienced their childhood as a problematic existence due to their parents lacking in their basic care of the child.

Objective: The aim of the study is to describe pupils' understanding of the mathematical concept of function. How do pupils define the concept of function? What images of the concept of function evoke when they solve tasks, which involve identifying and constructing functions?Theory: A student's thinking about a mathematical concept depends on more than just the formal definition of the concept; therefore Tall and Vinner introduce the term concept image to describe the role cognitive structures play when students learn about concepts. The cognitive structure includes all mental images, associated properties and processes that an individual associates with a given concept. According to Sfard, an individual's understanding of mathematical concepts may have different character: an operational conception, where a concept is conceived as a process and a structural conception, where the given concept is conceived as an object, that is, as a whole.Method: 16 pupils at the Science Program at two different upper secondary schools inSweden answered a questionnaire on the mathematical concept of function.

This study where designed to investigate if there are any positive relationship between the extent of physical activity during adolescent's leisure time and the academic performance, and also if there are any negative relationship between the academic performance and the time spent in front of the television or computers. Another part of the study tried to find out if physical activity has a direct and immediate influence on the performance in school. 91 pupils (51 girls and 40 boys) in the 8:th year of the Swedish primary school, from three different schools participated in the study. All 91 pupils first responded to a questionnaire concerning there activities in leisure time. They where then tested in a mathematical test and the results where compared with the extent of physical activity and TV/computer time they had stated in the questionnaire.

This report is a qualitative study on children aged three to five years who are in the Swedish preschool. The purpose of the study is to investigate how five experienced preschool teachers view the way children between three and five years acquire basic mathematical concepts, basic numeracy and geometry. The aim is also to find out whether teachers feel that the size of the group of children affects their learning.The study contains information about what preschool teachers think about the way children learn mathematics and how the size of the group of children affects this learning. From the results it can be seen that children learn Mathematics, both in everyday situations and when playing. Moreover, the group size does not seem to affect the mathematical learning of the child.

This study is based on discussions among Swedish brass teachers about teaching other brass instruments than their main instrument. Why do some choose to teach only with the help of their main instrument while others use their secondary instruments as well? What are the advantages and disadvantages and how do they look upon other ways of thinking in this matter?In addition, the study examines brass teachers? views on the balance between pedagogical and instrumental skill, as well as their views on teaching sound, technique and expression in relation to the age of the student.A questionnaire was used and anwered by 24 teachers with teaching experience in municipal music schools ranging from 7 months to 35 years. The results indicate that pedagogical skill is always important, whereas the importance of instrumental skill increases as the student gets older and more experienced. The advantage of teaching with the help of the main instrument is that one always keeps a high musical and technical level.

This study was designed to describe and understand how children perceive and explain mathematical situations. During our work based training we have met several students who have been insecure in the subject of mathematics and therefore come to think that it's difficult and boring. The questions we have asked ourselves are why and how this insecurity occurs. In preschools around the country teachers actively worked to create opportunities for children to meet and discover mathematics. The question is whether the teachers are aware of how children perceive mathematics and how children think in mathematical situations. We chose to conduct a qualitative study using different methods of data collecting in order to approach the children's world.

The students are usually eager to develop their mathematical learning. However, the Skolverket can see that this eagerness passes in the early years of school. A study shows that a varied mathematical education creates enthusiasm to learn, which can decrease the negative view of mathematics.The purpose of this study is to see how five pedagogues use laboratory mathematics, their approaches to laboratory mathematics as well as to find out their role in the laboratory education. The result of the study is based on interviews with the pedagogues, who are all teachers for students in year F-3. All of the pedagogues work in a laboratory way, but to different extents.The study shows that the pedagogues aim to make the mathematics as concrete and everyday as possible.

Syftet med denna studie är att undesöka vilket matematiskt innehåll förskollärare synliggör vid användning av bilderboken Lilla nollan och dom andra. För att besvara studiens frågeställningar har både observationer och kvalitativa intervjuer använts. Två förskollärare från en förskola valdes ut. Barnen som deltog vid observationerna var 4-5 år gamla. Resultatet visar att förskollärarna synliggör ett brett matematiskt innehåll i den ovannämnda bilderboken.

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.

The Church of Sweden sent during the spring 2010 two documents, Teologiskagrundprinciper för arbetet I 2006 års handboksgrupp and Mässans grundordning forconsideration. The documents are parts in the work with writing a new service-book for theChurch of Sweden. After the documents had been sent for consideration by the dioceses therehas been a discussion about the proposal to make the preparation in the service of HolyCommunion facultative. My main question has been to se if there will be any change of theconfession, faith and doctrine in the Church of Sweden if the preparation becomes facultative.I have seen that the service-book is an expression for the confession of the Church of Sweden,therefore there will be no change of the confession of the Church of Sweden, but a change ofits expression.I have seen that there is no consensus in how the dioceses react over what is written in thetwo documents about the forgiveness and the atonement. My conclusion is that it may bydifficult for the Church of Sweden to fix a new service-book without first fix what the Churchof Sweden means with forgiveness and atonement..

Thanks to I have got to explore different teaching ways around the problem solving in a year 3, in a multicultural school which is located south of Stockholm, I have been able to answer my question at issue in my degree work. My question at issue on this investigation and the purpose with my degree work was to explore different teaching ways that promotes pupils with another mother tongue than Swedish, to develop reading comprehension and to get a better understanding of mathematical concepts in problem solving tasks. On this investigation have I chosen to teach these pupils to explore, reach and gain a deeper understanding of what teaching about problem solving promotes these pupils. I have when it concerns choice of method and material collections assumed from a qualitative investigation and gathered the material with help from participation notices and interviews. I have in my investigation reached the conclusion that those pupils with another mother tongue than Swedish developed reading comprehension and got a better understanding of mathematical concepts in problem solving tasks by being taught in a creative and varied teaching. A creative and varied teaching as I taught those pupils in contained:the pupils had to work with living-related problem tasksthe pupils had to work in pairs to resolve problem solvingthe pupils had to work in larger groups to resolve problem solvingthe pupils had to work in a creative way, by writing and drawing pictures and do their own mathematical fairy tale in problem solvingthe pupils had to work with manipulatives to resolve problem solving in half classes..