Syftet med denna studie var att undersöka hur gymnasieelever översätter mellan tre matematiska språkformer (symbolspråk, matematiskt språk och vardags-språk). Studien använde ett slags test, en kunskapsdiagnos, för att undersöka detta. Gymnasieelever från samma program i tre olika årskurser fick möjlighet att delta i studien. Diagnosen var uppdelad i tre översättningsområden: från matematiskt språk till symbolspråk, från symbolspråk till matematiskt språk och till sist från symbolspråk till vardagsspråk. Resultatet visar att gymnasieeleverna, oavsett årskurs, har problem med översättningarna.

Tasmania is a state in Australia, and is also the country?s largest island. It is separated from the main land by a 429 kilometer wide strait. Every year, a large amount of people, cars and goods are transported to the island using a government owned ferry line, which generates approximately 300 million Australian dollars to the state?s economy ,every year. This bachelor thesis investigates the possibility of reducing the fuel consumption for the ferry traffic to and from Tasmania, which would also reduce the overall cost.

Purpose: The current thesis assignment aims to explain, understand and follow the strategies the young children employ into a conception of numbers. This thesis is based on a study performed by Doverborg and Pramling Samuelson.The following research questions serve to refine the stated goal:How mathematical thinking regarding conception of numbers occurs within younger children and which strategies they use?How is the interaction between the teacher and the younger children?Method: The study is organized as a qualitative study and was conducted in a pre-school with a group of four children. The children that have participated within my study are between two and three years old. They were filmed in four exercises.

This Masters thesis work describes a comparison between two different methods for estimation of the down channel (base station to mobile subscriber) in Wide-band Code Division Multiple Access (WCDMA). The first estimation method, Optimal Feed-forward Channel Estimation (OFCE), is a conventional method that bases the estimates on data that is known to both sender and receiver, so called pilots. The second method, Decision Directed Channel Estimation (DDCE), is an elaboration of OFCE. It also uses user data for estimation. Simulations show that DDCE, in comparison to OFCE, does not attain an improvement in signal-to-noise-ratio (SNR) for high bit error rates (BER).

In this essay, I have interviewed four pedagogues from three preschools whit different pedagogical purposes. The purpose was to find out how they work with mathematics outdoor. In addition to interviews, I have conducted observations at each preschool. The different preschools are one traditional, one Reggio Emilia and one ?all weather? (Friluftsfrämjandet) preschool.

Diagnosis means detection and isolation of faults. A model based diagnosis system is built on a mathematical model of the system. The difficulty when constructing the diagnosis system depends om how the model is formulated. In this report, a method is described that rewrites the model on such a form that the construction of the diagnosis algoritm is easy. The model is transformed by two state space transformations and the result will be a system on state space form where one part of the system becomes easy to supervise.

This Masters thesis work describes a comparison between two different methods for estimation of the down channel (base station to mobile subscriber) in Wide-band Code Division Multiple Access (WCDMA). The first estimation method, Optimal Feed-forward Channel Estimation (OFCE), is a conventional method that bases the estimates on data that is known to both sender and receiver, so called pilots. The second method, Decision Directed Channel Estimation (DDCE), is an elaboration of OFCE. It also uses user data for estimation. Simulations show that DDCE, in comparison to OFCE, does not attain an improvement in signal-to-noise-ratio (SNR) for high bit error rates (BER). An improvement is only seen when the BER becomes much lower than what is common in real situations. In conclusion DDCE is complicated, involves many mathematical operations and gives insignificant improvement of SNR when BER takes common values. It is legitimate to question if it is possible to use the method in a real mobile phone system..

Studiens syfte är dels att undersöka vilken förståelse för matematik ur ett samhällsperspektiv som elever på en mellansvensk kommunal gymnasieskola har, utifrån den beskrivning av ämnet som finns i de svenska styrdokumenten. Syftet är också att undersöka vilken inställning till ämnet eleverna har, hur attityden påverkas av vänner och familj, samt vilken betydelse media har i synen på matematik.Studien bygger på en enkätundersökning där 130 respondenters svar har behandlats. Genomgående i analysen har gruppen med elever som läser ett yrkesinriktat program jämförts med de elever som studerar på ett mer teoretiskt inriktat program.Resulatet visar att elevernas förståelse för matematikens roll i samhället är fullt acceptabel, men att det är få som nått ett fördjuad insikt. En klar majoritet anser att de förstår syftet med matematikundervisningen.Trots att en dryg trejedel tycker att matematik är det viktigaste ämnet så finner cirka hälften inget intresse för ämnet. En sjundedel säger sig t.o.m.

Skiascopy is used to objectively determine the refractive power of the eye. Except for a Swedish study in 2007, where 93 horses of different breeds and ages were examined with respect to their refractive status, most studies on equine refraction were published about one century ago or more. The objective of this study is to examine the refractive status of healthy warm-blooded trotting horses. Skiascopy was performed in 117 horses in total, aged 3 days to approximately 22 years old. In a pilot study, it was determined whether young horses were able to accommodate or not during skiascopy. The horses in the pilot study were all younger than 14 months. In foals younger than 1,5 months we saw a significant difference in the skiascopy result in the right eyes before and after topical atropine was instilled, but not in the left eye.

AbstractThe purpose of this investigation was to understand how teachers/pedagogues nowadays work with mathematics in school. In what way can they pin point the difficulties a pupil with another language might have with mathematics.I started the process of this investigation by reading litterature on the subject. Then I did interviews with several teachers and pedagogues teaching in different schools with children at different ages.The results found in my investegation pointed to a lack of practical work with mathematics especially in classroom and revealed from the teachers a strong desire to work with mathematics in different ways.?Talking maths? with pupils in class will help them understand the subject better. Several teachers are of the opinion that the pupils will reach the goals in school with this method.The teachers are also aware of the importance of having practical mathematics.

Symboler har alltid varit en viktig del av matematik, därför är det inte konstigt att kunskaperom symbolspråket behövs för att uppnå en full förståelse av ämnet. Den här studiensyftar därför på att utreda användningen av det symboliska språket i den svenska gymnasialaundervisningen ur ett språkvetenskapligt perspektiv. Empirin till det här arbetetbestår av 52 elevlösningar till ett test i matematik samt transkribering av en parintervju.Det insamlade materialet har analyserats utifrån teorier om den metalingvistiska medvetenhetensamt symbolernas semiotiska och epistemologiska funktioner. Det matematiskasymbolspråkets roll i styrdokumenten har också belysts i det här arbetet. Från elevernasfel i testet var det möjligt att åskådliggöra vikten av den metalingvistiska medvetenhetenoch den semiotiska medlingen i algebrainlärningen.

The purpose of this study was to explore students' and teachers' experiences of the new pedagogical teaching tool, interactive whiteboard, which have gained increased popularity and wide spread usage in the classrooms. An observation during a mathematical lecture was conducted as a pilot study prior to the main research method of phenomenology; based on students? self-descriptions and interviews with two teachers, this methodological approach was used to investigate the subject matter. The interpretation, comparison and analysis of the results surrounding this new teaching method is explained by two theories, constructivism and socio-cultural perspective. The information shared by the students and teachers have been broken down into four categories: enjoyment & interest, practical, insight and no different.

To be able to protect themselves from credit risk, the banks must constantly check the performance of  the companies they have lent money to. There are many mathematical models for predicting financial distress. These models use accounting-based ratios, which often are historical and not representative for the present situation. This study describes how the banks do in practice to find signals of insolvency in time and the variables they are observing for doing that.In addition to financial reports which the company sends in to the bank at least once a year, also the relationship between them and information from different information  agencies are of great importance to track  signals of insolvency. Poor profitability is the primary cause of insolvency.

En studie i om handdockan kan stärka den matematiska förståelsen och hur pedagoger skulle kunna använda den som redskap. Geometriska former och rumsuppfattning har stor betydelse i barns verklighetsuppfattning och lärande i matematik. Vi valde att fokusera på en geometrisk form, rektangeln. Vårt arbetssätt har bestått av intervjuer, observationer och dokumentation av genomförandet. Studien genomfördes i två helt skilda förskolor men har gjorts på liknande sätt och med samma frågeställningar.

Målet med denna studie är att undersöka hur matematiskt särbegåvade elever upplever sin matematikundervisning i skolan. För att uppnå studiens syfte har ett antal preciserade frågeställningar utarbetats, och som också har legat till grund för studiens empiriska undersökning. Frågeställningarna har hanterat såväl elevernas som deras föräldrars subjektiva upplevelser av barnens matematiska begåvning, hur den matematiska undervisningen för dessa barn ser ut samt hur föräldrarna upplever att skolan stimulerar och uppmuntrar särbegåvade barn. Examensarbetets metodologiska tillvägagångssätt har baserats på en kvalitativ undersökning där materialet har baserat på sex elever med matematisk särbegåvning och deras lärare. Dessa har intervjuats.