This essay will cover the Swedish electoral system with a focus on the proportional representation andthe process involved from the conversion of votes to seats in the parliament. This process consists ofseveral methods which are created by political decisions as well as mathematical formulas and is notalways perfect in terms of equalization. An increment of six adjustment seats would have made thegeneral election of 2010 more proportioned. Despite this, the Swedish electoral system is wellconstructed and the essay will highlight areas which could be subject for improvement as well asexplaining fundamental concepts of the process..

Vi som har skrivit arbetet har haft olika erfarenheter kring läsning av matematiska textuppgifter. Intresset växte, då vi blev intresserade kring varför det kan vara svårt att läsa en matematisk text. Syftet med studien är att undersöka hur elevers läsförståelse binds samman med läsning av matematiska textuppgifter samt se vilka inre och yttre faktorer som påverkar förståelsen. Kvalitativa intervjuer tillsammans med en kombination av fallstudier och observationer ligger till grund för metoden som använts i studien. I undersökningen deltog 63 elever och fyra lärare.

It is not uncommon for math difficulties and reading difficulties to occur simultaneously. Despite this, math and reading difficulties are thought to have different cognitive profiles where math difficulties are linked to number sense; an innate ability to understand, approximate and manipulate both quantities and numerical information, whereas reading difficulties are linked to phonological ability; an innate ability to understand, create representations of and manipulate phonological information. A possible link between the difficulties is that phonological abilities also could affect mathematical ability. Support for this comes from studies where comorbid math and reading difficulties are associated with more severe difficulties in arithmetic ability compared to those with isolated math difficulties. The purpose of this study is to examine whether isolated math difficulties, isolated reading difficulties and comorbid math and reading difficulties can be linked to deficits in number sense, phonological ability or both of these, and whether comorbid math and reading difficulties differ in performance in mathematical tasks compared to isolated math difficulties for children in second grade.

This paper presents a study of the computer game ?Minesweeper?. The aim of the game is to search through a rectangular area of mined squares without hitting any mines. By using a strategy based on making every operation as safe as possible, series of the game have been simulated. The size of the playground is four times four squares.

Single vehicle accidents are one of the most common types of accidents that occur on the Swedish road network. Depending on the design of the road, the presence of a crash barrier and embankment on the roadside, the outcome of a roadside collision can lead to serious injuries and even deaths.The aim of this project is to investigate the possibility of improving road safety by designing the optimal roadside area based on the results of a life cycle cost analysis (LCC).The questions that have been answered during the duration of this project are:1) Describe the current technical solutions for roadside area design and the various barrier types used in Sweden.2) Complete an existing mathematical model that has been developed by Hawzheen Karim, for calculating life-cycle costs for various roadside areas.3) Calculate and compare the life cycle costs for the side area with a barrier and without a barrier.By performing an analysis of the documentation on the current guidelines and rules for shaping the roadside, was it possible to describe the current technical solutions for the formation the roadside as well as the current roadside barriers in use today. A mathematical model for calculating the life cycle costs of different barrier types had already been developed by Hawzheen Karim. This model was supplemented so that it could calculate life-cycle costs of the roadside region with and without a barrier. After the model was completed, an analysis was performed to obtain life-cycle costs of a roadside with and without a barrier.The result showed that there is a clear relationship between the slope inclination, fill height, and the rate at which the costs rise.

It is not uncommon for math difficulties and reading difficulties to occur simultaneously. Despite this, math and reading difficulties are thought to have different cognitive profiles where math difficulties are linked to number sense; an innate ability to understand, approximate and manipulate both quantities and numerical information, whereas reading difficulties are linked to phonological ability; an innate ability to understand, create representations of and manipulate phonological information. A possible link between the difficulties is that phonological abilities also could affect mathematical ability. Support for this comes from studies where comorbid math and reading difficulties are associated with more severe difficulties in arithmetic ability compared to those with isolated math difficulties. The purpose of this study is to examine whether isolated math difficulties, isolated reading difficulties and comorbid math and reading difficulties can be linked to deficits in number sense, phonological ability or both of these, and whether comorbid math and reading difficulties differ in performance in mathematical tasks compared to isolated math difficulties for children in second grade.

In my study I have chosen to examine the mathematics in children's free play and everyday situations, with focus on sorting and classification. The purpose of the study was to see how children express their mathematical knowledge. I have chosen to use a qualitative method in my examination, here I did observations in a children's group where the children were between three and six years old. I also did interviews with the teacher's on the department to see how they relate to the mathematics and how they formulate the department to achieve as good a learning environment as possible.The result shows that the teacher's approach is incredible important to the children's learning ability and that they are always present to challenge and discuss together with the children. The observation indicates that children use mathematics all the time in their everyday situations and that it is the interaction between individuals and environment that affects children's development. .

We where asked to write a webapplication, with similar functionalityas an existing desktop application. The application can todayrecord sounds from a person, mix it together at the optimal place withanother, similar sound and play back the result.The application used mathematical calculation that the developerswhere not familiar with, therefore it was decided to focus on the partsthat involved recording and playing sound, to pave the way for anyfuture implementation.The follwing prototypes where implemneted:1. Read a sound clip from a file.2. Splicing of two sound clips at different points in the clips.3. Generate the sound of a guitar.The result of this evaluation is that web browsers today are notready for this type of application, but that there is potetial as soonas W3C have standardised the use of a microphone as a source to theexisting DSP functions..

Matematikämnet och elevers bristande kunskaper i ämnet, har starkt uppmärksammats senaste åren. Vi har konstruerat ett matematikspel i syfte att införa ett arbetssätt i undervisningen, som bygger på pedagogiska faktorer såsom kommunikation, reflektion, social aktivitet och motivation. Målgruppen har främst varit förstaårselever vid gymnasiet. I denna undersökning har såväl elever som lärare och andra pedagoger deltagit i syfte att värdera spelets funktioner som en del av undervisningen. Det centrala har varit hur och om spelet kan stimulera elevers motivation och kommunikation i positiv riktning för att på så sätt skapa förutsättningar för ett bättre lärande.

Syftet med studien är att undersöka samband som visas tydligt hos elever i både matematiksvårigheter samt fonologiska svårigheter. Studien har genomförts på elever i årskurs 7 som uppvisat matematiska såväl som fonologiska svårigheter. Resultatet baseras på en filmad observation där eleverna fått lösa ett urval uppgifter konstruerade utifrån svårigheter gällande grundläggande taluppfattning och aritmetik. Elever med fonologiska svårigheter såväl som bristande arbetsminne visar sig ha svårigheter när det gäller att automatisera tabellkunskap såväl som utföra beräkningar gällande de fyra räknesätten..

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.

 A villas price depends on several important factors. By statistical data, a mathematical multiple regression model was modeled. The model has important explanatory variables such as living space, renovation year and standard points has been taken into consideration, in order to assess their impact on the final price for private homes.By using a statistical program,Minitab 16, the final model was selected with eight explanatory variables. The regression for this model explains up to 67.3 % of the variation on the final price.The results showed percentage wise that the standard points had the greatest impact on the price, there after renovation year and then living space..

The Swedish agricultural sector is currently experiencing substantial structural changes, where the number of agricultural enterprises continuously decreases and the average farm size increases. In order to maintain competitiveness, it is important to be aware and adapt to changes concerning the surroundings of the company (Johnson et al., 2011). Agricultural commodity prices sharply fluctuate on the global market in recent years, affecting the profitability of farmers. High volatility market requires tools to reduce price variations and increases the need of decision-making (Bouder & Beth, 2003). Farm-based grain handling facilities increases the sale options regarding agricultural commodities; a flexible strategy to get additional compensation for the storing the grain produced on the farm (Edling, 2002; Edwards, 2013).

Detta arbete är en textanalys av hur några svenska läroböcker i matematik introducerar algebra speglat i van Hieles teorier om tankenivåer vid inlärning. Van Hieles teorier poängterar språket som kunskapsbärare i matematik vilket går som en röd tråd genom analysen. Generellt börjar läroböckerna på van Hieles tankenivå 3. Enligt van Hieles teorier borde undervisningen i algebra börja på nivå 1, vilket då blir lärarens uppgift att göra utan stöd av matematikboken. Förslag på arbetssätt för nivå 1 och 2 ingår..

From 1710 to 1713 the plague raged through the Swedish province of Scania. Other studies have been made on how the disease affected the society during the epidemic. This study tries to focus on the recovery afterwards. How did the population and the farmsteads recover after the plague? Statistics from parish registers and cameral records show interesting patterns in the demography, and that the recovery was far from complete 1720.