Syftet med denna studie var att ta reda på elevers uppfattningar om laborativt material i matematikundervisningen. Även hur liknande form av undersökning kunde gynna läraren till att få reda på vilken typ av undervisning som eleverna föredrar. Motivationen som låg till grund för studien var erfarenheter utifrån VFU (verksamhetsförlagd utbildning) samt erfarenheter av forskningslitteratur. En stor del av forskningen har påvisat att elever som arbetar med laborativt material i matematik presterar bättre än elever som inte arbetar med laborativt material. Därför förespråkar forskningslitteraturen inom detta område att lärare borde arbeta med laborativt material under alla åren i skolan.

The purpose of this study has been to compare the present with the future syllabus of mathematics. With a text analytical approach has questions about how the structure is different, how the look at knowledge has changed and which learning theory that characterizes the two syllabus been answered. As a theoretical framework I adopt three different learning theories, behaviourism, cognitivism and the socio-cultural perspective. The pervious research I have looked at is the concept of knowledge an the underlying theories to previous curriculum. During the increase results in the greatest difference seen in the structure.

Entrepreneurial firms face unique challenges in attracting and acquiring human resources due to difficulties associated with resource constraint and organization legitimacy, often described as liabilities of "smallness" and "newness". The aim of this paper is to examine the "smallness" and "newness" challenges met by small entrepreneurial firms, which strategies they apply to counter these challenges, and if these strategies can be explained by the firm's HR philosophy. Since few studies on Human Resource Management (HRM) in small entrepreneurial firms exist, a framework combining theory from the research fields of HRM, entrepreneurship and small firms has been developed. Employing a qualitative case study design of five small Swedish entrepreneurial firms, our findings demonstrate four "smallness" and "newness" challenges and seven strategies that either counteract or prevent them. Furthermore, results showed that the strategies applied seemed to have no significance with regards to the firm's HR philosophy.

Det verkar råda stor konsensus om att matematikundervisningen är viktig för att Sverige skall kunna hävda sig och kunna konkurrera i en global värld. Samtidigt visar det sig att eleverna i allt större utsträckning har svårt att nå målen för undervisningen. En undervisning, som forskningen visar, är hårt styrd av den matematikbok som används.I Finland har det visat sig att vilken lärobok som används i undervisningen får statistiskt signifikanta konsekvenser för elevernas resultat. I uppsatsen undersöks om samma statistiskt signifikanta samband även föreligger i Sverige. 149 skolor omfattande 13 408 elever ingår i den statistiska kvantitativa studien.

Studien syftar till att beskriva hur lärare i matematik upplever att de praktiskt hanterar elevers olika förutsättningar i sin matematikundervisning. Undersökningen genomfördes som en fallstudie av två lärare i matematik i grundskolans senare år. Det empiriska materialet består av fyra klassrumsobservationer, som analyserades för att identifiera olika typer av individualisering, samt fyra intervjuer, för att belysa lärarnas upplevelser av och tankar kring individualisering. Det framkom att det förekommer flera olika typer av individualisering. En del individualisering var ett resultat av lärarens medvetna val, men det förekom även individualisering som lärarna delvis var omedvetna om..

Studies show that the performance of Swedish students in the subject of mathematics is to be considered somewhat average. The government has therefore decided to assist with extended project funding to schools on a local level in order to improve these results.Schools will, unlike before, practice teaching suited for the individual needs of students based on their previous experiences, knowledge level, language comprehension and their environment. This is also clearly stated in the Swedish school curriculum.My survey shows how three teachers in primary school actually work towards individualized teaching of mathematics and what methods they prefer. This survey also answered what these teachers considered to be the obstacles and opportunities with individualized teaching methods. The difference in approach of how to practice this has also been documented.The survey, based on interviews and class observations, have been analyzed and compared to previous research and theories in the field of teaching practices.

The present essay concerns Walter Benjamin´s engagement with the concept of critique in four of his early writings from 1916-1928. It revolves around three main themes, or objects of interest: the critique of language [Sprache], the critique of the work [das Werk] and the critique of history [Geschichte]. The main objective of this study is to show how we can understand Benjamin?s conception of critique and how he develops it in regard to language, the work and history. The essay argues that this is a vital part to understand his philosophy in general as well as his later philosophy of history in particular.

In this thesis I examine how the phenomenological philosophy of Edmund Husserl and Martin Heidegger differ with regard to the phenomenological reduction, and in particular why there is no reduction in Sein und Zeit. I examine in what way philosophy is seen as an overcoming of the naïvete of a ?natural? attitude and how this natural attitude is understood, starting with Husserl?s descriptions of the phenomenological reduction, of the natural attitude of our daily lives and of his notion of transcendental subjectivity. By presenting these main aspects, I try to elucidate why, in Husserl?s view, laying the foundation of all knowledge must take form of a phenomenological first philosophy.

 ABSTRACTThis master thesis defines a new concept ? Math Videos on the Net. The term refers to short,educational videos of mathematics that are freely available on the internet. The videos aredesigned to offer a complement to other course material for a specific element of a specific mathcourse and are directed to the target group of students studying the latter. Within this work, MathVideos on the Net have been created for the Swedish upper secondary school courses Matematik1b and 1c.The study aims to describe, analyze and interpret whether, and if so, how Math Videos on theNet can help support the work of teachers and students? development of knowledge in the firstmathematics course of the Swedish upper secondary school.

The objective of this study is to investigate a new pedagogical material called 4DFrame, how it is experienced by informants and how suitable it is in education - in particular mathematics. Socioculturalperspective has a central role in this study when students are given opportunities for linguistic and social interaction during the experiment with the new pedagogical material. The methodology for this study has been visits, interviews, and observations. The study reveals that there are different views on the didactic potential for mathematics of the new teaching material, though no conclusions can be drawn regarding whether this material is more or less suitable in teaching since no research have been found that compares this with other pedagogical materials. Both national and international studies show the need to find alternative and better ways to make mathematic education meaningful.

I den här uppsatsen tänker jag reda ut det epistemologiska begreppet a priori. Att det är ett epistemologiskt begrepp innebär att det handlar om kunskap. Den här kunskapen kan uttryckas i satser. Sådana satser är satser som vi har a priorisk kunskap om. Exempel på vad man brukar kalla a prioriska satser är: ?inget kan vara helt täckt av rött samtidigt som det är helt täckt av grönt? och ?om A kommer före B och B kommer före C så kommer A före C? eller mer metafysiska utsagor som ?ett fysiskt objekt kan inte vara på två ställen vid samma tidpunkt? och ?alla effekter måste ha en orsak?, men som främsta exempel brukar man tala om logiska eller matematiska utsagor.

Grundtanken i deliberativ demokrati är att politiska beslut skall grundas på en fri och förnuftig deliberation mellan fria och jämlika medborgare. Målet med denna deliberation är att nå en rationell konsensus, och kräver att deltagarna sätter sina personliga intressen, värderingar och perspektiv åt sidan, samt fokuserar på det allmänna bästa. I denna uppsats presenterar jag teorin bakom, och framför kritik mot den nuvarande utformningen av deliberativ demokrati. Denna kritik går huvudsakligen ut på att deliberativ demokrati inte fullt respekterar samhällets pluralism, eftersom den antar orimliga normer förhur politisk kommunikation får bedrivas, och därmed riskerar att marginalisera vissa människor. Jag diskuterar också hur en alternativ demokratimodell, som bevarar grundtanken i deliberativ demokrati, skulle kunna vara utformad..

The question how teaching should be organized in order to give the students the help and support they need to reach their goals is always of vital interest. All students are unique individuals with different prerequisities, possibilities and needs. Streaming in mathematics could be one solution.The first week at upper secondary school a diagnostic test is carried through. Thereafter, the result is used as a basis for dividing the classes into different teaching groups. Thus, the groups working with mathematics become more homogeneous and the students? previous knowledge is approximately at the same level.

I detta 10-poängsarbete går jag igenom hur min egenhändigt producerade kvadratrotsalgoritm fungerar praktiskt och teoretiskt. Med denna algoritm kan man för hand räkna ut kvadratrötter som innehåller 50-60 värdesiffror. Med de tidigare kända algoritmerna för kvadratrötter kan man räkna ut 5-6 värdesiffror. Min algoritm fungerar inte på samma sätt som de tidigare använda kvadratrotsalgoritmerna men den är lika korrekt. Stor tyngdvikt i arbetet har därför lagts på att visa på att det finns flera olika korrekta algoritmer för våra vanliga räknesätt.

This study compares the sample variance of the mean in a simple random sample (SRS) and a systematic sample from a surface. The study also compares the prediction error variance in a SRS and systematic sample from a random field. Recommendations are presented on which method to use in the clearance and exemption process in the nuclear industry. The results indicate that quadratic systematic sampling outperformed SRS in most instances and proved to be especially efficient in the presence of a long-ranged covariance function and high sampling intensity (i.e. short distances between observations).