An increase interest of new methods and tools has begun to grow in the real estate business, this new trend causes an increase in new programs that aim to simplify processes of energy-efficiency and environmental issues.After consulting with Björn Alsmark from Bjerking AB, an architect and engineering company, we made a decision that the Degree Project is going to examine the program IES (Integrated Environmental Solutions) with some integrations from Revit Architecture application.To be able to examine IES, we got access to a completed project from Bjerking. The project is a nursery school in Uppsala. An application has been handed in from Bjerking to make this project to a Green Building-certificated project. According to Bjerking own calculations (with the energy-calculation program Enorm), the consumption of energy of the nursery school is 48 percent lesser than required by BBR.An evaluation of IES and Enorm has been made with an aim to compare these two programs and find out if IES is an appropriate program to replace Enorm. Does Enorm or IES come up to BBR´s recommendations?The Degree Project cover 15 ECT, that required several adjusting and delimitations, and the study sketch ended with a literature study.After finishing the study sketch the modeling of the nursery school began.

The aim of my study is to investigate how last year students in upper secondary schoolunderstand certain mathematical concepts, in particular the unit circle and its trigonometry.I have used intentional analysis to interpret student?s actions when they solve certain tasks onthe basis of a cognitive, situated and cultural context.Interviews with four university teachers in mathematics about the unit circle, trigonometry,and mathematical understanding, serve both as background for the study and as basis for adiscussion, where I relate students understanding to what the teachers want new students toknow about these concepts when they begin university studies in mathematics.The students were arranged in three groups with three students in each group. Each group waspresented with two tasks, one in which they were asked to calculate the cosine values for onepointed, one blunt and one straight angle, each located in a separate triangle. They were alsoasked to decide whether the points (0,71; 0,71) and d (1 2 , 3 2 ) are located on the unit circleor not.My conclusion is that students mainly have an operational conception of the unit circle andtrigonometry. The lack of structural conceptions result in difficulties in seeing connectionsbetween the concepts in unfamiliar situations.

The aim of my study is to investigate how last year students in upper secondary schoolunderstand certain mathematical concepts, in particular the unit circle and its trigonometry.I have used intentional analysis to interpret student?s actions when they solve certain tasks onthe basis of a cognitive, situated and cultural context.Interviews with four university teachers in mathematics about the unit circle, trigonometry,and mathematical understanding, serve both as background for the study and as basis for adiscussion, where I relate students understanding to what the teachers want new students toknow about these concepts when they begin university studies in mathematics.The students were arranged in three groups with three students in each group. Each group waspresented with two tasks, one in which they were asked to calculate the cosine values for onepointed, one blunt and one straight angle, each located in a separate triangle. They were alsoasked to decide whether the points (0,71; 0,71) and d (1 2 , 3 2 ) are located on the unit circleor not.My conclusion is that students mainly have an operational conception of the unit circle andtrigonometry. The lack of structural conceptions result in difficulties in seeing connectionsbetween the concepts in unfamiliar situations.

The aim of my study is to investigate how last year students in upper secondary schoolunderstand certain mathematical concepts, in particular the unit circle and its trigonometry.I have used intentional analysis to interpret student?s actions when they solve certain tasks onthe basis of a cognitive, situated and cultural context.Interviews with four university teachers in mathematics about the unit circle, trigonometry,and mathematical understanding, serve both as background for the study and as basis for adiscussion, where I relate students understanding to what the teachers want new students toknow about these concepts when they begin university studies in mathematics.The students were arranged in three groups with three students in each group. Each group waspresented with two tasks, one in which they were asked to calculate the cosine values for onepointed, one blunt and one straight angle, each located in a separate triangle. They were alsoasked to decide whether the points (0,71; 0,71) and d (1 2 , 3 2 ) are located on the unit circleor not.My conclusion is that students mainly have an operational conception of the unit circle andtrigonometry. The lack of structural conceptions result in difficulties in seeing connectionsbetween the concepts in unfamiliar situations.

Detta examensarbete ämnar besvara huruvida Tekla Structures kan fungera som ett lämpligt 3D-modelleringsprogram för konstruktionsgruppen Nyanläggning och Bro inom Grontmij Sverige. Med goda erfarenheter av Building Information Modeling, s.k. BIM, och 3D-modellering inom andra delar av Grontmij så fanns en önskan att optimera gruppens arbetsprocesser med den senaste kunskapen inom området. Arbetet har fokuserat på att praktiskt modellera en fallstudie baserat på ett av Grontmij tidigare genomfört anläggningsprojekt. För att säkerställa fallstudiens representativitet valdes en plattrambro med stor mängd armering som ansågs ha en komplex geometri vilket potentiellt skulle fördelaktigt kunna representeras i 3D.Vid skapandet av 3D-modellen och tillhörande ritningar delades processen in i tre steg; modellering, detaljering samt visualisering.

Lärare planerar undervisning och väljer vad eleverna ska arbeta med. Denna studie syftar till att undersöka lärares tankar om vilket matematiskt innehåll elever möter samt vilka förmågor elever tränar i arbetet med en uppgift i matematik. Studien genomfördes genom intervjuer med fem lärare som fick svara på frågor kring en uppgift i matematik. De övergripande frågorna handlade om matematiskt innehåll och förmågor, men även uppgiftens koppling till Lgr11 efterfrågades. Lärarnas svar kopplades till de specifika kunskaper som behövs för att undervisa i matematik.Studien visade att lärarna i hög utsträckning sorterade in uppgiften inom området kombinatorik och att de framförallt såg uppgiften som en problemlösningsuppgift.

Objective: The aim of the study is to describe pupils' understanding of the mathematical concept of function. How do pupils define the concept of function? What images of the concept of function evoke when they solve tasks, which involve identifying and constructing functions?Theory: A student's thinking about a mathematical concept depends on more than just the formal definition of the concept; therefore Tall and Vinner introduce the term concept image to describe the role cognitive structures play when students learn about concepts. The cognitive structure includes all mental images, associated properties and processes that an individual associates with a given concept. According to Sfard, an individual's understanding of mathematical concepts may have different character: an operational conception, where a concept is conceived as a process and a structural conception, where the given concept is conceived as an object, that is, as a whole.Method: 16 pupils at the Science Program at two different upper secondary schools inSweden answered a questionnaire on the mathematical concept of function.

The building industry are currently going through a huge alteration. The introduction of BIM (Building Information Modeling). Which also implements a lot of new ways of solving problems that building modeling can cause. This report is written for Uppsala University in cooperation with Temagruppen in Uppsala. However, it contains a comparison between two different systems that checks building models.

This study where designed to investigate if there are any positive relationship between the extent of physical activity during adolescent's leisure time and the academic performance, and also if there are any negative relationship between the academic performance and the time spent in front of the television or computers. Another part of the study tried to find out if physical activity has a direct and immediate influence on the performance in school. 91 pupils (51 girls and 40 boys) in the 8:th year of the Swedish primary school, from three different schools participated in the study. All 91 pupils first responded to a questionnaire concerning there activities in leisure time. They where then tested in a mathematical test and the results where compared with the extent of physical activity and TV/computer time they had stated in the questionnaire.

This report is a qualitative study on children aged three to five years who are in the Swedish preschool. The purpose of the study is to investigate how five experienced preschool teachers view the way children between three and five years acquire basic mathematical concepts, basic numeracy and geometry. The aim is also to find out whether teachers feel that the size of the group of children affects their learning.The study contains information about what preschool teachers think about the way children learn mathematics and how the size of the group of children affects this learning. From the results it can be seen that children learn Mathematics, both in everyday situations and when playing. Moreover, the group size does not seem to affect the mathematical learning of the child.

This study was designed to describe and understand how children perceive and explain mathematical situations. During our work based training we have met several students who have been insecure in the subject of mathematics and therefore come to think that it's difficult and boring. The questions we have asked ourselves are why and how this insecurity occurs. In preschools around the country teachers actively worked to create opportunities for children to meet and discover mathematics. The question is whether the teachers are aware of how children perceive mathematics and how children think in mathematical situations. We chose to conduct a qualitative study using different methods of data collecting in order to approach the children's world.

The students are usually eager to develop their mathematical learning. However, the Skolverket can see that this eagerness passes in the early years of school. A study shows that a varied mathematical education creates enthusiasm to learn, which can decrease the negative view of mathematics.The purpose of this study is to see how five pedagogues use laboratory mathematics, their approaches to laboratory mathematics as well as to find out their role in the laboratory education. The result of the study is based on interviews with the pedagogues, who are all teachers for students in year F-3. All of the pedagogues work in a laboratory way, but to different extents.The study shows that the pedagogues aim to make the mathematics as concrete and everyday as possible.

Syftet med denna studie är att undesöka vilket matematiskt innehåll förskollärare synliggör vid användning av bilderboken Lilla nollan och dom andra. För att besvara studiens frågeställningar har både observationer och kvalitativa intervjuer använts. Två förskollärare från en förskola valdes ut. Barnen som deltog vid observationerna var 4-5 år gamla. Resultatet visar att förskollärarna synliggör ett brett matematiskt innehåll i den ovannämnda bilderboken.

The aim of my study is to investigate how last year students in upper secondary schoolunderstand certain mathematical concepts, in particular the unit circle and its trigonometry.I have used intentional analysis to interpret student?s actions when they solve certain tasks onthe basis of a cognitive, situated and cultural context.Interviews with four university teachers in mathematics about the unit circle, trigonometry,and mathematical understanding, serve both as background for the study and as basis for adiscussion, where I relate students understanding to what the teachers want new students toknow about these concepts when they begin university studies in mathematics.The students were arranged in three groups with three students in each group. Each group waspresented with two tasks, one in which they were asked to calculate the cosine values for onepointed, one blunt and one straight angle, each located in a separate triangle. They were alsoasked to decide whether the points (0,71; 0,71) and d (1 2 , 3 2 ) are located on the unit circleor not.My conclusion is that students mainly have an operational conception of the unit circle andtrigonometry. The lack of structural conceptions result in difficulties in seeing connectionsbetween the concepts in unfamiliar situations.

This master thesis covers the seasonal planning of a small scale hydropower system. The system in this study is owned and operated by Mälarenergi Vattenkraft AB. The total system consists of 4 different main rivers with 24 hydropower stations and several dams. The total installed power in the system is 43.75 MW. Most of the hydropower stations are regarded as small scale hydropower stations and thus entitled to green certificates.In this report the issue of planning is formulated as an optimization problem.