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 the study is to examine how teachers and students believe that graphing calculators affect the teaching of high school mathematics courses. By becoming aware of this, teachers and teacher students have the opportunity to reflect on the use of graphing calculators in their teaching. The empirical base consists of interviews with teachers and a survey among students at two high schools in southern Sweden. The results show that teachers especially consider the graphing calculator as a tool, much like paper and pencil. They use it if and when it is deemed able to contribute in a significant way in their teaching, either to save time and/or to help deepen the understanding of various Mathematical concepts and methods.

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.

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. .

The purpose of this study is to examine discussions held by politicians and experts concerning the concepts Christian ethics and western humanism. I will examine the argumentation for and against the concepts Christian ethics and western humanism, which finally ended in a resolution of using these concepts in the curriculum Lpo/Lpf 94. In this study I am using a qualitative method to examine how different opinions and views are expressed in two different committee reports, initiated by the Ministry of Education, as well as protocols from the debate in the Swedish Parliament.I will attempt to elucidate the political views of these concepts, which will become an integral part of the base of values in the curriculum. Results show that the politicians are unanimous regarding the content itself, but disagree of the thought of establishing the base of values in Christian ethics. But the discussion is ambiguous because the opinion of the politicians is that the concepts, especially Christian ethics, stand for general human values.

Swedish students' knowledge of both mathematics and reading comprehension has deteriorated in recent years. Scientists are discussing whether there is a connection between these areas and that the pupils deteriorating math skills may have something to do with their increasingly lower results in terms of reading comprehension. To investigate this possible connection, I conducted a survey among students in ninth grade and have come to the conclusion that the scientists are right: this connection absolutely exist. Students who received a high score on tasks designed to test students' mathematical problem-solving skills, also received high results on the reading comprehension test. And students who received a poor performance on the problem-solving tasks, were also low performers in the reading comprehension test.

The aim of this work is to develop new conceptual designs for the fairings that are situated between the fin and the rear fuselage on the new version of the JAS 39 Gripen aircraft, called the Gripen E/F. The designs presented should show a profit in the form of lower weight. To achieve weight loss, the possibilities of using other construction materials other than those which are available at Saab today were studied. Therefore, a material survey was carried out in which the market for modern construction materials was studied to get an idea of today?s level of technology.

In this essay I analyze the meaning of the concepts home and at home and the feeling of coming home. What is a home and what different interpretations are there regarding the concepts of home and being at home? What kinds of feelings are aroused by coming home? The world we live in offers great opportunities to travel, which in itself creates a perspective on the meanings of the concepts. The world we live in also forces people to move from their homes, families and countries due to various reasons, which creates various problems and a certain urgency concerning the concepts. I describe basic terms concerning the concepts, both regarding concrete definitions and more abstract notions, and then compare them with my own reflections.         Based on my writing project Coming home I discuss these questions in various ways.

A decision has been made that the Swedish and the Finnish Navy will expand their cooperation by creating the ?Swedish-Finnish Naval Task Group? (SFNTG).Based on Michael Codner?s theory of interoperability, this essay?s aim is to investigate if the Swedish and the Finnish currently are interoperable with each other, due to their military strategic concepts.According to Codner, similarities between the cooperating nation?s military strategic concepts are required in order to reach a high degree of interoperability. This essay will analyze and compare Sweden and Finland?s military strategic concepts, based on three categories; Global Projection, Territorial Defence and Combat Capability.The conclusion is that there are differences between the Swedish and the Finnish military strategic concepts in every category, of varying degrees. By looking at the results of this investigation, it is clear in what direction the two nations have to adapt their concepts to enable a high degree of interoperability for the future of the SFNTG..

At the department of Electronic Warfare Assessments at the Swedish Defence Research Agency in Linköping one of the activities is modelling and simulation of the duel between a robot and a target. The aim with this Master's thesis is to develop a simulation model of an hovering helicopter. First a theoretical description of the forces and moments acting on an helicopter is given. Then the equations of motion are derived. These equations are simplified to be valid only for a hovering helicopter and the result is a mathematical model.

SEP Modular Armoured Tactical System is the next generation of military vehicles developedby BAE Systems Hägglunds AB. At present time, BAE Systems Hägglunds AB aredeveloping a 6-wheel electrical hybrid and a conventional 8-wheel vehicle. The questionformulation was summarized as: ?In which ways can the electrical transmission in a hybriddriveline for SEP be designed, when the surrounding fixed interfaces are kept and the unity ofcomponents within SEP is maximized??. The purpose of this master thesis was to study avariety of concepts for hybrid propulsion.