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..

One key factor in silviculture today is sustainability. In order to achieve sustainability it may be important to restore lost nutrients to the forest after clearcutting. In order to calculate the removal, you need to know how much of different elements you will find in different tree compartments. The aim of this study was to investigate if the concentration of elements in different tree compartments of spruce (Picea abies (L.) Karst) were related to the moisture conditions of the site. Five plots at Risfallet (60º 21´ N, 16º 13´ E), was placed along a moisture gradient in a 40- year spruce stand.

The aim was to explore how the first page of a student newspaper has been changed over time since it was founded in the 1960´s.This thesis explores how the front page of the student newspaper Lösnummer has been changed since it was founded in 1966. It concerns the location and frequency of elements and it is based on theories of layout, the first page and visual communicationIn addition, the thesis develops a new kind of method for determining the location of elements on the type area. The method is based on the hexadecimal number system. It is formed as a grid which is placed on the first page to determine the location of the elements.It concludes that the frequency of elements had its peak during the 1970´s and has ever since decreased gradually. Image placement has gone from being scattered all over the front page to be centered and increase in size. .

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. .

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.

This masters thesis concerns three different types of cataloguing within three different memory institutions museums, archives and libraries. The focus lies on the cataloguing elements which are compared in order to illuminate similarities and differences. The Regional Archive and The National Museum of World Cultures - both in Gothenburg - were chosen and compared to KRS, the Swedish counterpart to the Anglo-American Cataloguing Rules, AACR2, 2: nd ed. The purpose of this comparison is partly to display the elements in order to make students disciplines, but also the staff within archives, libraries and museums to become conscious of each others cataloguing methods in regard to future cooperations within the memory institutions and to see if it is possible to create common cataloguing rules for archives, libraries and museums. The questions asked in this thesis are: 1.

AbstractBy finding out the pupils' choice of strategies for problem solving, we as teachers, can get a better understanding of their way of thinking, and thus also help them develop in their learning of mathematics. In a classroom environment where several different strategies could be found, the pupils' learning is facilitated as they, with the help of classmates, find positive and negative attributes of different kinds of strategies. The pupils are, in other words, each other's resources, rather than competitors. The main point is that the classroom environment, as well as the role of the teacher in the classroom, are both key elements for good mathematics learning.In order to increase the understanding of the pupils' choice of learning strategies, a survey was performed based on two school classes, one third grade and one six grade class at the same school. Both classes received the same mathematical problem to work with, and the strategies observed were analyzed and compared.

In this thesis, the four types of math problems that occur in the digital educational math game Zcooly Affären 2 have been analyzed. Focus has been aimed at how the problems mediate instructions and mathematical concepts to players, and how the mathematical content is supported by the context within the game. The result shows both positive and negative aspects of the math problems, based on the theories for math education used in this thesis. Apart from the analysis of the game, this thesis also presents earlier research regarding what possibilities digital games possess as tools for learning. Researchers have partly different views on how digital games should be designed to enhance learning, and whether or not games are efficient to use for learning purposes..

The aim of this thesis has been to study the development of Ordfront förlag from their foundation in 1969 until today, concerning their publishing profile and their size. Ordfront started out as a small publishing house and is today one of the few middle sized publishing houses in Sweden. Their books focus on questions concerning society, debate and politics. The question posed in this thesis was: What has influenced Ordfront förlag concerning size and publishing profile? In order to answer our question we have used a system analytic method, in which we examined some external and internal elements.

The aim was to explore how the first page of a student newspaper has been changed over time since it was founded in the 1960´s.This thesis explores how the front page of the student newspaper Lösnummer has been changed since it was founded in 1966. It concerns the location and frequency of elements and it is based on theories of layout, the first page and visual communicationIn addition, the thesis develops a new kind of method for determining the location of elements on the type area. The method is based on the hexadecimal number system. It is formed as a grid which is placed on the first page to determine the location of the elements.It concludes that the frequency of elements had its peak during the 1970´s and has ever since decreased gradually. Image placement has gone from being scattered all over the front page to be centered and increase in size. .