Syftet med detta examensarbete är att fördjupa vår förståelse kring matematikspråk och kommunikation som verktyg i matematikundervisningen. Detta har sökts svar på genom att observera och intervjua tre stycken matematiklärare i grundskolans lägre åldrar. Vi har undersökt hur dessa lärare använder och ser på muntlig kommunikation samt infor-mellt och formellt matematikspråk. Vi redogör för tidigare forskning kring språk och kommunikation i matematikundervis-ningen. Studiens utgångspunkt är Vygotskijs syn på språk och kommunikation i ett so-ciokulturellt perspektiv.

The purpose of this study is to facilitate sustainable building by the use of BIM. The goal is to determine which aspects of sustainable building, which can be analyzed mainly with BIM tools, but also other aids.The study is based on literature studies and interviews. The literature review examines aspects important for sustainable building by studying environmental certification systems applicable in Sweden, as well as the BIM tools available on the market to analyze these aspects. The literature also includes the concepts of BIM and sustainability in order to provide a clearer view of its meaning. The interviews have brought the study's overall understanding of the industry and guidance on the subject.The results are presented in a table, where the aspects relevant to sustainable building are listed.

The purpose of this study is to facilitate sustainable building by the use of BIM. The goal is to determine which aspects of sustainable building, which can be analyzed mainly with BIM tools, but also other aids.The study is based on literature studies and interviews. The literature review examines aspects important for sustainable building by studying environmental certification systems applicable in Sweden, as well as the BIM tools available on the market to analyze these aspects. The literature also includes the concepts of BIM and sustainability in order to provide a clearer view of its meaning. The interviews have brought the study's overall understanding of the industry and guidance on the subject.The results are presented in a table, where the aspects relevant to sustainable building are listed.

Syftet med detta arbete är att undersöka pedagogers och barns samspel i relation med matematiska begrepp och ta reda på vilka matematiska begrepp som blir synliga vid aktiviteter inomhus i en förskoleklass. Arbetet är både en kvantitativ och en kvalitativ undersökning. Strukturerade observationer och intervjuer används som undersökningsmetoder. Intervjuerna kompletterar observationerna för att ta reda på pedagogers syfte med aktiviteterna och hur medvetna pedagoger arbetar. Dessutom jämförs observationerna och intervjuerna i analysen. Studien visar att pedagogerna har en stor betydelse i barnens matematiska begreppsutveckling. Språket är hjälpmedel för att kunna påverka barnens tankar mot utveckling och barnens användning av matematiska begrepp är beroende av hur ofta pedagogerna uttrycker sig med hjälp av matematiska begrepp.

Syftet med studien var att ta reda på vilka strategier elever väljer när de ska lösaett matematiskt problem. Vi genomförde en observation och nio individuellaintervjuer med elever i årskurs 3. De fick lösa ett matematiskt problem somobserverades. Utifrån elevernas lösningar genomförde vi sedan intervjuer för attta reda på vilka strategier de valt att använda för att lösa problemet. Resultatet avelevernas lösningar visade på flera olika lösningsstrategier.

Den svenska byggbranschen står i nuläget inför en stor teknisk förändring, införandet av Bygg-informationsmodeller(BIM)/Virtual Design and Construction (VDC) i stor skala. Branschens olika aktörer ser olika vinster med implementeringen som kommer påverka hela byggprocessen, från projektering till förvaltning. Denna studie fokuserar på organisation och process i projekteringsskedet och grundar sig på en fallstudie av Veidekke Entreprenad AB. Företaget har implementerat VDC i delar av organisationen och i nuläget, efter lyckade pilotprojekt, utvidgas satsningen och implementering görs i större skala. Studiens syfte är att kartlägga Veidekkes VDC-mål och strategier, för att därefter studera process och organisation i projekteringsfasen och hur de bör utvecklas för att skapa goda förutsättningar för att VDC-målen ska kunna uppfyllas.

Stage-discharge equations for lakes without disharge measurementsSimon AnderssonIn 2015 all lakes, rivers, coastal water and groundwater should be of good ecological statusaccording to the water framework directive from the European Union. In the process ofimproving the quality of Swedish water bodies, knowledge of where problems occur isneeded in order to utilize the resources optimally. The ability of lakes to store water is animportant factor since it controls the flow of water through the country. A stage-dischargeequation is a mathematical relation between discharge from a lake and its water level. Bybetter understanding of stage-discharge equations for lakes, their storage capacity can bedescribed better in hydrological models.This master thesis aims to evaluate methods for determining stage-discharge equations forlakes where a variable amount of field measurements is available.

Nynas produces bitumen at two refineries in Sweden. The bitumen is shipped to seven depots along the swedish coast line, and from the depots special trucks handle the transportation to customers. Recently Nynas has transformed its supply chain and closed down a few depots. At the moment the company is considering a further reduction of the number of depots. In connection to these discussions an analyse of the companys distributionsystem and of possible changes is required.

This study analyses the economic consequences due to ethanol production in Eastern Sweden. The analyses consider the cooperative and the farmers as one vertically integrated company. The area that found the market in this study is illustrated in figure 1. The analyses assume that all members act jointly with the objective of maximizing joint profits at the farm level as well as at the cooperative firm. A mathematical model is created to calculate the optimal use of arable land.

Både från politiskt och akademiskt håll betonas betydelsen av matematiskt partikulärspråk för barnsmatematiska kunskapsutveckling. Syftet med föreliggande studie är att studera hur förskolelärare och barn konstruerar matematiska begrepp i en förskolekontext. Arbetet tar avstamp i sociokulturellt och kulturanalytisk teori. Data har konstruerat genom att jag som forskare har följt och samtala med en lärare i förskolans verksamhet. Det empiriska materialet har dokumenterats med fältanteckningar och filminspelningar, totalt omfattar filmmaterialet ca 8 timmar.

Background: Investors have several options to choose from when the goal is to achieve the highest yield at the lowest cost and risk. Stocks are a common investment options, but is also associated with risks. Portfolios are usually constructed with several different assets to reduce the unsystematic risk of investment. Funds are similar to composite stock portfolios, the big difference is that they dealt with in their entirety and investors may not affect the fund's content. The problem remains that whether you choose stocks or mutual funds there is still uncertainty as to how the future will unfold.

The objective of this study is to investigate a new pedagogical material called 4DFrame, how it is experienced by informants and how suitable it is in education - in particular mathematics. Socioculturalperspective has a central role in this study when students are given opportunities for linguistic and social interaction during the experiment with the new pedagogical material. The methodology for this study has been visits, interviews, and observations. The study reveals that there are different views on the didactic potential for mathematics of the new teaching material, though no conclusions can be drawn regarding whether this material is more or less suitable in teaching since no research have been found that compares this with other pedagogical materials. Both national and international studies show the need to find alternative and better ways to make mathematic education meaningful.

This thesis project focuses on the need for better tools for analyzing competition for forest fuels in Sweden, in particular how policy measures may influence the market and involved actors in different regions of Sweden. Raw materials from the forest have for long constituted important inputs in the Swedish forest industry. Today some of these raw materials are increasingly used as inputs also in bioenergy production, largely driven by bioenergy promoting policies, and there are signs of increased competition for forest fuels which may have various and uncertain effects on the industries in question. The thesis project explores the possibilities to adapt previously used forest sector equilibrium models into a new model suitable for analysis of Swedish forest fuel markets, called the Swedish Forest Sector Trade Model (SFSTM). The approach takes into account regional differences in supply and demand for 23 types of products produced and/or used by eight types of producers, plus consumers, in five different regions (four Swedish and one international).

A problem in the field of district heating is the oil burners needed to provide power when a peak load occurs. One possible way of reducing the needed amount of oil is to reduce the power demand for space heating in the district-heating substations when the need for district heating water exceeds a certain limit. This can be done by use of a locally working controller function.In this Thesis the options concerning load priority are evaluated. To evaluate the potential for using controller functions concerning peak load priority an experiment was brought out in a chosen district-heating substation. The impact on the indoor thermal comfort during a heat reduction was also taken into account.

Background: Investors have several options to choose from when the goal is to achieve the highest yield at the lowest cost and risk. Stocks are a common investment options, but is also associated with risks. Portfolios are usually constructed with several different assets to reduce the unsystematic risk of investment. Funds are similar to composite stock portfolios, the big difference is that they dealt with in their entirety and investors may not affect the fund's content. The problem remains that whether you choose stocks or mutual funds there is still uncertainty as to how the future will unfold.