The purpose of this study is to see how some teachers in primary school creates and adapts their mathematics teaching for students with special mathematical abilities. It also aims to identify opportunities and challenges that teachers see in creating a teaching adapted to these students.In this study, qualitative interviews has been done to collect data. The interviews were conducted with five teachers who all are active in the primary school.The study results show that there is great variation in how the interviewed teachers create their mathematics teaching for students with special mathematical abilities. The use of mathematics book proved to be significant for how this adaptation took place. The result also shows that the teachers? explanations for the choice of the adaptations that they make in teaching vary.

Yahtzee is a popular dice game around the world. The complexity makes the game interesting to play and analyze. This report compares the effectiveness of the mathematically optimal strategy with a strategy that can be used for casual play. The rules used are those of the Nordic variant Yatzy, in which a few but important rules are different from the American Yahtzee. To evaluate the everyday strategy 100,000 games was simulated in a java program written specifically for this purpose.

Yahtzee is a popular dice game around the world. The complexity makes the game interesting to play and analyze. This report compares the effectiveness of the mathematically optimal strategy with a strategy that can be used for casual play. The rules used are those of the Nordic variant Yatzy, in which a few but important rules are different from the American Yahtzee. To evaluate the everyday strategy 100,000 games was simulated in a java program written specifically for this purpose.

This paper examined if childrens wellbeing affected their social and academic competence. The data was collected through an anonymous study using questionnaires, where the measuring instruments GHQ12 and EQ was used, and also a number of questions concerning academic competence. The population concisted twentytwo eight grade students, both girls and boys. The population had both Swedish and foreign ancestry. The result showed that wellbeing and the academic competence had a positive correlation.

This paper examined if childrens wellbeing affected their social and academic competence. The data was collected through an anonymous study using questionnaires, where the measuring instruments GHQ12 and EQ was used, and also a number of questions concerning academic competence. The population concisted twentytwo eight grade students, both girls and boys. The population had both Swedish and foreign ancestry. The result showed that wellbeing and the academic competence had a positive correlation.

Dyscalculia and General Mathematical Dificulties.

The aim is to examine how students with attention difficulties may demonstrate their mathematical understanding through visual representations. A curiosity about how students think about mathematics, national tests and Concepts cartoons has also permeated the study. With help of observations combined with interviews and actively work for a week, the study shows an idea of how visual representations can help students with concentration difficulties to stay focused on their tasks. I chose a selection of pupils to do some mathematical tasks from the national tests which they had not been able to solve before. Now in the form of Concepts cartoons, which I designed, they managed to solve the same mathematics data. In my study treatment and interaction reveals as key pillars for a successful educational work with the students with concentration difficulties. Thus, all pupils who previously have been unable to solve these assignments on the National test were now able to show their mathematical understanding supported by visual representations..

My aim with the experience-based essay is that I want to explore the implications of mathematics on children's development. I also want to examine my approach in relation to the various mathematical tasks. Why do we think that mathematics is important for pre-school children? What does the research say about how the teacher is thinking about mathematics? Can the teacher combine playing and learning and create meaningful moments and activities related to mathematics? I also want to explore our policies and the objectives that the teacher should relate to. What is required of me as a teacher in order to meet those goals?My essay is about mine and my boss?s view of the mathematical tasks that I usually perform in the preschool.

Rock groundwater has always caused major problems when tunnelling. Water leaking into tunnels can cause large problems, not only on the construction itself but also on the environment. A continuous water leakage can lead to a declining water supply, and geotechnical problems can occur as subsidence in the ground. Therefore it is of great importance to predict the consequences that can appear in the surroundings due to a declining groundwater surface.The aim of the study was to investigate different methods for predicting leakage and changes in groundwater level due to tunnelling excavations in rock. This thesis was performed by comparing mathematical methods, actual groundwater changes and results from preliminary investigations.Investigations were made for three railway tunnels planned by Botniabanan AB.

Syftet med detta arbete är att jämföra International Baccalaureate Diploma Programme (IB), med svenska SP och NV program. Detta görs genom att besvara frågan hur innehållen i matematikkurserna på IB programmet skiljer sig från matematikkurser som ges i de svenska programmen. Inte enbart innehållet i kurserna jämförs utan även timplanen granskas för att undersöka om arbetsbördan i programmen skiljer sig åt. Den lättaste matematikkursen som undervisas i IB programmet, Mathematical Studies är mest lik de svenska Matematik A-C kurserna. Den andra IB kursen, Mathematical Methods täcker framförallt Matematik A-E kurserna medan den tredje kursen, Mathematics Higher Level stämmer bäst överens med Matematik kurserna A-F och Matematik-diskret.

In the latest years the Swedish armed forces have gone from an armed force with conscripts to voluntary men and women. When the basic training is voluntarily may the question be if the new men and women have the same approach to Desirable competences and pedagogy that is used by their officers during their training. Desirable competences are a part of the model transformational leadership and are divided into task related competence, management competence, social competence and capacitate to cope with stress.To deal with this problem I have used questionnaires from conscripts and a new questionnaire made on voluntary recruits.I have compared the results in a case study method and it shows a positive progress from the recruits view how the officers use examples from the transformational leadership. The study shows that recruits want officers to make demands, motivate and inspire them. The recruits want to know the goal with the education and they want the officers to make demands on them..

The downsizing of the Swedish armed forces during the late 20th century and early 21 th century has caused several thousand people to choose a different career. This undergraduate thesis investigates the self-observed employability and work-place competence of a number of Swedish armed forces officers who has made the transition to a civil career. The thesis seeks to answer questions about how the transition is comprehended, how military merits and competences are valued in civil work places and which differences in ability to use their competences the respondents experience. The study is made using qualitative interviews, which are analysed using a miexed method inspired by phenomenological method. The findings include that the essence of the respondents emplooyability is a shared work indentity as miltary officers and a common experienced problem in translating their merits.

Gravitational lenses are unlike ordinary optical lenses, a phenomenon corrupting our optical view of the cosmos. When we look out intospace we see celestial bodies lying with astronomical distance from Earth. There is no guarantee that what we see out there in space is actually there where we are observing it, and it may be that we see multiple images of the same star! Studies have shown that thenumber of distorted images of an n-mass (n > 1) plane lens can not exceed 5(n -1) for lighter lenses or 5n for more massive lens. This mathematical thesis covers gravitational lensing and their properties that distort light rays coming towards us from distant celestial bodies. In addition of gravitational lensing, its properties and the proof of the maximum number of distorted images, a bigger part of this work even cover two very interesting mathematical tools - the so-called Schwarz function and Bezout theorem..

This study investigates the teaching strategies of four teachers, and determines which teaching strategies give better results in mathematics at the middle school level? Result here means the knowledge level of the students. The result has been measured through leave out a mathematical test, which I leave out designed. Teaching strategies have been assessed through interviews with teachers and observations of their lessons.My study shows that to go through the lessons thoroughly in the traditional way, and open discussions with the whole class are best for students achievements.The information available, however, is too limited to draw some general conclusions, but my study can be seen more like a counter-example to the general praxis that is short lectures and individual assessment with one to one communication when teaching mathematics..

This report documents the process of designing a laboratory exercise in Fourier analysis at Vetenskapens Hus (House of Science) in Stockholm. The lab is designed for high school students studying science or technical education. It focuses on the physicalunderstanding and mathematical description of sound, in particular music. A model of such a lab is presented in this work; containing a review of the mathematical theory, summary of educational research in the field, descriptions of the design process and of the investigativework that led to the final result. The designed material for the lab includes developed computer programs, visit leader tutorial and description for teachers. .