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.

Control of a diesel engine equipped with Variable Geometry Turbine (VGT) and Exhaust Gas Recirculation (EGR) requires a multivariable control method. One problem is that the engine system is non-linear. Furthermore there are strong cross-connections between inputs and outputs and the inputs have alsoboundaries. To be able to manage these control problems, MPC has been used that is a multivariable method. The MPC-controller consists of an optimization problem and therefore MPC can find the optimum control signals in an easy way.

Abstract. Title: Supply Chain Optimization ? for Sourced Production. Authors: Patricia Möller and Andreas Paulsson. Tutors: Jan Eskil Hollen ? Business Developer, Lilleborg as, Orkla, Everth Larsson ? Department of Industrial Management and Logistics, Division of Engineering Logistics, Lund University, Carl-Henric Nilsson ? Department of Economics and Business Administration, School of economics and management, Lund University.

The thesis aims to examine how companies optimize the human capital from a value creation perspective. The value creation will be related to transfer of knowledge, recruitment, staff turnover and development. The thesis has a deductive approach and six qualitative interviews have been conducted. The results from the interviews will be strengthened with a quantitative data analysis of two measurements; value added per employee and human capital efficiency. The theoretical framework includes definitions of human capital.

The wastewater treatment plant at GE Healthcare's facility in Uppsala deployed a three step vacuum evaporator in 2007. The purpose of this was to pre-treat wastewater containing amines. The purpose of this thesis was to optimize thisprocess by reducing the amount of concentrate without releasing more nitrogen tothe environment and to examine if density could be used as a measurement of whenthe process should be ended.To create a foundation for optimization six test cycles were conducted with samples taken from all three steps. Both concentrate and condensate were tested as well as the incoming solution. Furthermore, the thesis has been expanded with a benchmarking part examining two different evaporators.

The aim of this study was to develop a load prognosis model for Uppsala district heating system to be used as a tool for heat production optimization. The methodwas to build three models for the different customer types; housing, industry andoffices and then scale them for the total system using data from Uppsala districtheating system. The heat load consists of two parts, one that is temperaturedependent and one that is dependent of the social behavior of the customers. Thetemperature part was modelled with an ARX model using an outdoor temperatureprognosis as input signal. The social behavior part was modelled using the mean ofthe social behavior from some days before and additionally by distinguishing betweenweekdays and weekends.

Thanks to I have got to explore different teaching ways around the problem solving in a year 3, in a multicultural school which is located south of Stockholm, I have been able to answer my question at issue in my degree work. My question at issue on this investigation and the purpose with my degree work was to explore different teaching ways that promotes pupils with another mother tongue than Swedish, to develop reading comprehension and to get a better understanding of mathematical concepts in problem solving tasks. On this investigation have I chosen to teach these pupils to explore, reach and gain a deeper understanding of what teaching about problem solving promotes these pupils. I have when it concerns choice of method and material collections assumed from a qualitative investigation and gathered the material with help from participation notices and interviews. I have in my investigation reached the conclusion that those pupils with another mother tongue than Swedish developed reading comprehension and got a better understanding of mathematical concepts in problem solving tasks by being taught in a creative and varied teaching. A creative and varied teaching as I taught those pupils in contained:the pupils had to work with living-related problem tasksthe pupils had to work in pairs to resolve problem solvingthe pupils had to work in larger groups to resolve problem solvingthe pupils had to work in a creative way, by writing and drawing pictures and do their own mathematical fairy tale in problem solvingthe pupils had to work with manipulatives to resolve problem solving in half classes..

The purpose of this thesis was to examine teachers? perception of communication in the Mathematics lesson. I wanted to find out how teachers look at communication as a didactic manner and how they view their role in encouraging communication and discussion during the Mathematics lesson and what communication can contribute to students? learning in Mathematics, according to their beliefs. I have chosen a qualitative approach; I have interviewed six Mathematics teachers working in three different schools.

Syftet med detta examensarbete är att undersöka undervisning och lärande under en matematiklektion som präglas av traditionell skolmatematik. Metoden för undersökningen var en deltagande observation av en matematiklektion i åk 3 på gymnasiet. Med hjälp av begreppen matematikens lärandeobjekt, matematiska resurser, eleven som lärande aktör och sociomatematiska normer har jag tolkat de resultat som genererats från observationen. Två slutsatser som kan dras av undersökningen är att eleverna stimuleras till att bli oberoende lärande aktörer i undervisningen av traditionell skolmatematik samt att det i första hand är läraren som synliggör potentiella matematiska resurser för eleverna. Medvetenheten om elevernas användande av matematiska resurser skulle kunna påverka elevernas lärande genom att läraren synliggör matematiska resurser på ett mer medvetet sätt..

Studien undersöker hur matematiska begrepp etableras i diskursen i klassrummet och hur lärare planerar för, iscensätter och bearbetar matematiska begrepp. Studiens syfte är att studera hur lärare hanterar matematiska begrepp i undervisningen ur ett specialpedagogiskt perspektiv. Utifrån studiens ansats väljs två kvalitativa datainsamlingsmetoder. Till detta infogas Selander & Kress (2010) formellt inramad lärsekvens och Hallidays (2004) tre metafunktioner och en ny metafunktion, den institutionell funktion (Boistrup- Björklund, 2010). Studien visar att procedurkunskap har en stor plats i undervisningen. Lärarna hanterar begrepp i förbifarten och funderar inte på vilken roll de språkliga uttrycken har.

This report describes the master thesis project ?Weight Optimization of a Composite Chassis for a Multimodal Lightweight Vehicle? which is a part of the Master program in Naval Architecture and a part of a research project at the Centre for Naval Architecture, KTH. Demands on smart and energy efficient transport solutions are continuously increasing. In the Stockholm region the citizens are expected to increase with 25% and the road vehicles with 80% until 2030, putting high demands on the traffic system. Using a small multimodal vehicle deals with this problem and uses both the land and waterways for transportation.

The thesis aims to examine how companies optimize the human capital from a value creation perspective. The value creation will be related to transfer of knowledge, recruitment, staff turnover and development. The thesis has a deductive approach and six qualitative interviews have been conducted. The results from the interviews will be strengthened with a quantitative data analysis of two measurements; value added per employee and human capital efficiency. The theoretical framework includes definitions of human capital.

Powder Metal (PM) gears are machine element components which operate under the same principle as conventional gears, but, due to their intrinsic material characteristic need to be designed slightly different, and its manufacturing process offers advantages previously unobtainable by conventional steel gear manufacturing methods. The use of PM in similar applications, such as synchronous hubs, makes them a suitable candidate for production in such material. The current master thesis work focuses on gear design using PM by utilizing finite element method (FEM) to reduce weight and inertia taking into account root bending strength and tooth deflection.First a topological optimization is used to determine feasible candidates for different web designs which have as objective to reduce volume, similar topologies were shown during different loading conditions; and hence, this topology was chosen as a suitable candidate. A shape optimization of the topological candidate was performed having as state variables root bending strength, independent for compressive and tensile side of the tooth loading; and tooth deflection, which in concept can be correlated to static transmission error (TE).Another aspect in this thesis analysed is the possibility to incorporate non-trochoid root geometry, a trochoid root is always present when machining with a hob, into the gear root and hence reduce the stress concentration here. Due to the use of PM, a non-symmetric optimized root can be achieved and hence be optimizing compression and tension.Results showed significantly lower inertia, for example certain results showed 40% reduced when compared to solid gear, with adverse effects as increase in tooth deformation and increase in maximum principal stress.

The aim of this thesis is to look for signs of students? understanding of algebra by studying how they make the transition from arithmetic to algebra. Students in an Upper Secondary class on the Natural Science program and Science and Technology program were given a questionnaire with a number of algebraic problems of different levels of difficulty. Especially important for the study was that students leave comments and explanations of how they solved the problems. According to earlier research, transitions are the most critical steps in problem solving.