Chinese Remainder Theorem is used to solving problems in computing, coding and cryptography. In computing we can compute with shorter numbers instead of large numbers and this will make the computing-process faster and easier. In coding it can be used for error-searching and error-regulating.Cryptography means that we can send a coded message and that no one will be able to read it without the decode-key which is based on prim-numbers. I am writing about the history of mathematics and how the number- and decimal number-system is used in Babylon, Egypt, Greece and in China. Abacus was a very important aid to calculate advanced mathematical problems.

As a teacher in baking and patisserie courses there can be difficulties in following the curriculum for Patisserie 1. If this leads to an education that is not the same for all the schools in the country, it creates a problem that has to be solved. The results of this investigation show that teachers generally do not follow the curriculum but instead chooses their own solutions. Some conclusions that have come forth are that the National Agency for Education needs to make the curriculum clearer and give tangible examples of products, that can either be classified as easy or complicated, in the field of baking and pastry courses. I have chosen the standardized interview method.

The aim of this thesis is to examine how personnel working with asylum cases at the Swedish Migration Board handle their role as administrators of asylum. For the study 7 asylum administrators were interviewed and the analysis was made with influence from the method critical discourse analysis. To understand the themes in the analysis I have used Michael Lipskys theory about street-level bureaucrats. Main results from the analysis of the interviews were that the street-level bureaucrats had certain strategies for managing the difficult aspects of the job. The interviews also showed that the participating informants had difficulties with different identity positions..

Denna uppsats behandlar en algoritm som löser linjära optimeringsproblem. Algoritmen bygger på en liknande idé som simplexalgoritmen men i denna kan startvärdet även vara en punkt inom tillåtet område eller på randen till detta område. Det behöver inte nödvändigtvis vara en hörnpunkt, vilket simplexalgoritmen kräver. Under algoritmens gång kommer iterationsvärdena att ligga på randen till det tillåtna området för att slutligen hamna i ett hörn. Därefter går iterationsvärdena från hörn till hörn tills slutligen optimum har nåtts.

This report describes an analysis of WebGL together with JavaScript with the aim to examine its limitations, strengths and weaknesses. This analysis was performed by building a 2D game engine containing some dynamic elements such as water, smoke, fire, light, and more. Different algorithms have been tested and analyzed to provide a clearer picture of how these work together. The report will go through the most basic functions of the game engine and describe briefly how these work.The result shows that JavaScript with WebGL can be considered to be a potent toolsets, despite the difficulties caused by JavaScript.In summary, similar projects can be recommended as Javascript and WebGL proved both fun and incredibly rewarding to work with..

Syftet med vår studie var att ta reda på hur pedagoger tillvaratar barns informella kunskaper och hur de konkret arbetar för att utveckla barns begreppsuppfattning i matematik med hjälp av språket. Vi avsåg även att undersöka förutsättningarna för en sådan undervisning. Vi ville se till både individ-, grupp- och organisationsnivå. Ytterligare en specialpedagogisk frågeställning som vi avsåg att undersöka var hur barn i behov av särskilt stöd gynnas av detta arbetssätt. Vi genomförde tio kvalitativa forskningsintervjuer, som var delvis strukturerade, med pedagoger som arbetar med språket på ett medvetet sätt i sin matematikundervisning.

In a world where digital media is becoming a greater part of people?s everyday and working lives it is plausible to assume that the upcoming generation of pupils expect the teaching media to adapt thereafter. It is this assumption of an increased demand that Natur & Kultur is hoping to be able to meet. This thesis has been a stage in the process of producing digital material in the subject of mathematics for high school students. Specifically the aims of this thesis have been to make a rough description of the largest competitive companies? products within the same market, explore and put together a brief theoretical foundation of contemporary research and produce concrete examples of ideas for digital applications.

The main purpose of this study was to examine the knowledge in biology by immigrant pupils. My investigation is based on the pupil and I have focused on positive and negative factors that affect their performance in biology.The study is based on marks in year 2006/2007, a survey and interviews made with four immigrant pupils at a compulsory school in Västra Götaland.The study indicates that the result in biology of immigrant pupils is lower compared to Swedish.Difficulties in language, the commitments by their parents and their surroundings are the main factors that affect their results negative..

Denna kvalitativa studie behandlar matematiska uttryck hos förskolebarn. Syftet med studien är att undersöka och beskriva flickors och pojkars matematiska uttryck i förskolan samt vilka eventuella skillnader som kan iakttas i deras uttryckssätt. Detta mot bakgrund av att matematiken har fått ett allt större utrymme i förskolans verksamhet efter att förskolan fick sin första läroplan, Lpfö 98, med uttalade mål att sträva mot. Tidigare forskning visar att pedagoger bemöter flickor och pojkar olika i förskolan. Kan det ha att göra med att de uttrycker sig olika? Med detta som grund ville vi undersöka om det finns skillnader i flickors och pojkars matematiska uttryck.Matematik är ett språk och barn i förskolan utvecklar matematisk förståelse genom upplevelser i lek och sociala sammanhang.

This thesis has enlightened how consumer behavior is when buying clothes via the Internet and the problems and difficulties that could face the companies. This study was conducted through interviews with people that have bought clothes through the Internet, traditional catalogues and real stores. The conclusions showed that the Internet is as suitable as traditional catalogues for buying clothes. Another dimension were put to the aspect of availability to a virtual mall in the design of the catalogues. Finally, it is in the best of the e-business companies interest to study how e-catalogues should be structured and designed for the consumers..

Denna studie syftar till att undersöka i vilka spontana lektyper inomhus, förskolebarn uttrycker matematiska begrepp. Bakgrunden till studien är att vi anser att matematikarbetet på förskolan ska utgå från barnens perspektiv och då har leken en viktig betydelse. Leken ses som en central del för matematiklärandet och begreppsbildningen och därför är förskolan en lämplig plats för denna studie. Om barnen redan på förskolan skapar ett intresse och börjar använda matematiska begrepp gynnar det även den begreppsanvändning som krävs i skolan. Med inspiration av ett etnografiskt förhållningssätt har det genomförts observationer på två förskoleavdelningar, vid sju tillfällen på varje avdelning.

Android is one of the leading software platforms for the new generation of smartphones. The market for applications is growing rapidly. So to be able to compete with such large competition the applications need a solid and stable development methodology. Therefore have we created an application based on a test-driven development, to investigate if the methodology was applicable on the Android platform. The conclusion is that Android?s suitability for test-driven development is dependent on the application that is being developed and if difficulties concerning the testing framework can be avoided.

The industrialization of construction is increasing in Sweden which leads to higher demands of prefabricated components and cells. But what does the business of construction think of the industrialized business and what can be done in order to decrease faults and errors with these products? Today we have many manufacturers who have different technical solutions which might lead to difficulties when assembling components and cells at the building site. But by trying to make a more opened market, with possibly standardized connections details and improving the communication between the different participants, the prefabricated components and cells can be made and assembled with less errors. This is something that needs to be done in order to establish a more secure business, and especially when working with new companies and methods, when using industrialized products..

This thesis primarily includes a study on whether companies can develop a mathematical activity that supports students' motivation in mathematics. The work was done together with Midroc Electro, a company that pays attention to the difficulty of recruiting and therefore was interested in investigating how the business world would be able to contribute.The thesis can be divided into three stages. The first part comprised by a exploration into research on student motivation regarding mathematics as well as numerous interviews with engineers to see how the research findings did fit with Midroc Electros reality. In these studies it became clear that the student who aims for a profession whose education or work requires math belongs to the group of students who primarily manage their studies in mathematics, that is, those that have the greatest motivation to work hard and complete their studies.Research information and interviews were compared and resulted in the thesis second part, Midroc Challenge. An activity where students primarily came to learn about the engineering profession and secondly how mathematics can be used in the engineering profession.

I denna text diskuterar jag produktionen av Hearty Horrors, ett spel programmerat och designat helt i flash. Jag diskuterar svårigheterna för de olika delarna i att skapa ett spel. Tankar och jämförelser mellan onda och goda karaktärer och vad man, som speldesigner, bör och inte bör göra för att få spelare att känna sig manade att spela vidare. In this text I discuss the production of Hearty Horrors, a game programmed and designed completly in flash. I discuss the difficulties of diffrent parts in the making of a game.