Yahtzee is a popular dice game around the world. The complexity makes the game interesting to play and analyze. This report compares the effectiveness of the mathematically optimal strategy with a strategy that can be used for casual play. The rules used are those of the Nordic variant Yatzy, in which a few but important rules are different from the American Yahtzee. To evaluate the everyday strategy 100,000 games was simulated in a java program written specifically for this purpose.

Yahtzee is a popular dice game around the world. The complexity makes the game interesting to play and analyze. This report compares the effectiveness of the mathematically optimal strategy with a strategy that can be used for casual play. The rules used are those of the Nordic variant Yatzy, in which a few but important rules are different from the American Yahtzee. To evaluate the everyday strategy 100,000 games was simulated in a java program written specifically for this purpose.

The goal of this study is to gain knowledge and understanding of how a teacher can apply mathematics with assistance from practical mathematics. Students? point of view on mathematics within practical mathematic lessons will also be examined. Four teachers from preschool to third grade in primary school were interviewed. 30 students from grades one to three were also surveyed. The study shows that teachers see a major benefit when practical mathematics is used in the theoretical teachings of mathematics.

Dyscalculia and General Mathematical Dificulties.

My aim with the experience-based essay is that I want to explore the implications of mathematics on children's development. I also want to examine my approach in relation to the various mathematical tasks. Why do we think that mathematics is important for pre-school children? What does the research say about how the teacher is thinking about mathematics? Can the teacher combine playing and learning and create meaningful moments and activities related to mathematics? I also want to explore our policies and the objectives that the teacher should relate to. What is required of me as a teacher in order to meet those goals?My essay is about mine and my boss?s view of the mathematical tasks that I usually perform in the preschool.

Rock groundwater has always caused major problems when tunnelling. Water leaking into tunnels can cause large problems, not only on the construction itself but also on the environment. A continuous water leakage can lead to a declining water supply, and geotechnical problems can occur as subsidence in the ground. Therefore it is of great importance to predict the consequences that can appear in the surroundings due to a declining groundwater surface.The aim of the study was to investigate different methods for predicting leakage and changes in groundwater level due to tunnelling excavations in rock. This thesis was performed by comparing mathematical methods, actual groundwater changes and results from preliminary investigations.Investigations were made for three railway tunnels planned by Botniabanan AB.

Syftet med detta arbete är att jämföra International Baccalaureate Diploma Programme (IB), med svenska SP och NV program. Detta görs genom att besvara frågan hur innehållen i matematikkurserna på IB programmet skiljer sig från matematikkurser som ges i de svenska programmen. Inte enbart innehållet i kurserna jämförs utan även timplanen granskas för att undersöka om arbetsbördan i programmen skiljer sig åt. Den lättaste matematikkursen som undervisas i IB programmet, Mathematical Studies är mest lik de svenska Matematik A-C kurserna. Den andra IB kursen, Mathematical Methods täcker framförallt Matematik A-E kurserna medan den tredje kursen, Mathematics Higher Level stämmer bäst överens med Matematik kurserna A-F och Matematik-diskret.

This is a study about the communication interaction in the context of the reference work at some public university-libraries and some private company libraries in Gothenburg and Borås. The primary purpose of the study is to investigate the communication interaction in a library situation. The second purpose is to deepen the knowledge, understanding and to establish what is important in this communication. Focus has been on how the intermediaries communicate and how she or he perceives this communication. The intermediary needs to manage the communication with all the different patrons and different information needs of the patrons.

Gravitational lenses are unlike ordinary optical lenses, a phenomenon corrupting our optical view of the cosmos. When we look out intospace we see celestial bodies lying with astronomical distance from Earth. There is no guarantee that what we see out there in space is actually there where we are observing it, and it may be that we see multiple images of the same star! Studies have shown that thenumber of distorted images of an n-mass (n > 1) plane lens can not exceed 5(n -1) for lighter lenses or 5n for more massive lens. This mathematical thesis covers gravitational lensing and their properties that distort light rays coming towards us from distant celestial bodies. In addition of gravitational lensing, its properties and the proof of the maximum number of distorted images, a bigger part of this work even cover two very interesting mathematical tools - the so-called Schwarz function and Bezout theorem..

This report documents the process of designing a laboratory exercise in Fourier analysis at Vetenskapens Hus (House of Science) in Stockholm. The lab is designed for high school students studying science or technical education. It focuses on the physicalunderstanding and mathematical description of sound, in particular music. A model of such a lab is presented in this work; containing a review of the mathematical theory, summary of educational research in the field, descriptions of the design process and of the investigativework that led to the final result. The designed material for the lab includes developed computer programs, visit leader tutorial and description for teachers. .

Internal communication exists in all organizations and is ongoing. It is of great importanceto communicate effectively when deficiencies can have serious consequences. The tsunamithat swept over South East Asia's coast in 2004 is indicative of this. At that time the consequenceswere loss of efficiency and productivity of businesses, health care, police and themilitary. All because of the lack of information.Employees in an organization take many decisions that affect the entire organization.

This essay deals with the subject of communication through Facebook. In this survey we studied 100 youths from Karlstad and their communication habits and behavior patterns on Facebook. The social network site Facebook has since its start in 2004 made a mark in modern communication. Today in 2010 the site has more than 500 million users. This paper wants to study what happens to other types of communication.

Swedish students' knowledge of both mathematics and reading comprehension has deteriorated in recent years. Scientists are discussing whether there is a connection between these areas and that the pupils deteriorating math skills may have something to do with their increasingly lower results in terms of reading comprehension. To investigate this possible connection, I conducted a survey among students in ninth grade and have come to the conclusion that the scientists are right: this connection absolutely exist. Students who received a high score on tasks designed to test students' mathematical problem-solving skills, also received high results on the reading comprehension test. And students who received a poor performance on the problem-solving tasks, were also low performers in the reading comprehension test.

Facebook´s importance has grown significantly regarding crisis communication. A deficiency concerning what types of companies has been investigated earlier and how their crisis communication should be carried out on Facebook, has been identified. The aim of this study is to examine the crisis communication of a smaller company on Facebook and explore how this communication has been received by the company?s recipients. We apply an explorative approach on to a case study in order to answer the aim.

This essay deals with the subject of communication through Facebook. In this survey we studied 100 youths from Karlstad and their communication habits and behavior patterns on Facebook. The social network site Facebook has since its start in 2004 made a mark in modern communication. Today in 2010 the site has more than 500 million users. This paper wants to study what happens to other types of communication.