The aim of this study is to describe the variation in two teachers perceptions of their work with individual developments. The study begins with a review of the Swedish National Agency for Education?s guidelines for working with individual developments. With this I want to give the reader an insight into the teachers working conditions and the responsibilities the school authorities have against their students. Using phenomenography, I have examined the differences between two Mathematic teacher?s perceptions in working with individual developments for student?s in need of special education.   My questions are: How do mathemathic teachers perceive their work with individual developments? What support and what information do the teacher?s feel that they have been given in order to use individual developments as a tool? How do the teachers perceive that their work situation has influenced their work with individual developments? The two teachers I have interviewed showed different perceptions both in how they understood the guidelines for working with individual developments and how they chose to work with them.

I denna studie undersöks vad som sker i intensivundervisning där en SUM-elev, elev med särskilda utbildningsbehov i matematik, erbjuds multisensorisk undervisning. Vilken utveckling som sker vad gäller elevens taluppfattning, samt olika uttryck för lärande i undervisningsprocessen är också något som studeras.Studien har en kvalitativ ansats och har genomförts som en fallstudie med en SUM-elev i årskurs ett. Fallstudien innehåller en intervention med matematiktester vilka genomförts före och efter en intensivundervisning i grundläggande taluppfattning. Deltagande observationer av undervisningssekvensen har genomförts, vilka också har filmats. Till analysen används Bruners teori om representationer tillsammans med Vygotskijs teori om lärande ur ett sociokulturellt perspektiv.

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..

There has been a lot of debate in media about Mathematics teaching in grade school in Sweden. Many students experience that Mathematics in grade school is abstract, which leads to decreased interest of Mathematics in early years. An international study indicates that Swedish students in class 4 do not fulfill the mean for Mathematics according to EU/OECD countries. The study also shows that Sweden practice a textbook driven education, compared to other countries. The aim for this study was to find out how a few pedagogues for class F-6 teach Mathematics, and why they have chosen to educate the way they do.

Elevers upplevelser av att befinna sig i stödåtgärder är antagligen av stort intresse för de lärare som undervisar elever med allmänna eller specifika matematiksvårigheter. Hur beskriver då några elever själva sina upplevelser av stödåtgärder? Syftet med denna studie är att få större kunskap om och ökad förståelse för hur stödåtgärder i matematik upplevs av de elever som fått särskilt stöd under en längre period.För att kunna ta del av några elevers upplevelser av stödåtgärder valde jag att utgå från en livsvärldsfenomenologisk forskningsansats. Denna ansats lämpar sig väl för att studera just upplevelsen i elevernas livsvärldar. Jag har fått möjlighet att ta del av elevers upplevelser och erfarenheter så som de själva beskriver dem och sedan hermeneutiskt tolkat dessa utifrån min egen förförståelse och erfarenhet.Det resultat som jag presenterar bygger på intervjuer jag genomfört med tre elever i årskurs 9.

The purpose of the present study is to describe adult second language learners? experiences of Mathematics learning from a past and contemporary perspective. What experiences in Mathematics do they bring? What does it mean to learn Mathematics through their new language?The study is based on life-world narratives from five second language students with another native language than Swedish. Today they all study at a Swedish folk high school, at upper secondary level and they have previously studied at this level in Mathematics. The result shows that the meeting with the Swedish school and folk high school context is confusing.

Sweden is a multicultural country and because of this the Swedish school-system should be adapted so that all pupils can develop their linguistic skills so that they can participate andunderstand the education. By using scientific work from other researchers and my own experiences from a general point of view, I noticed that pupils with foreign origin perform less good in Mathematics than pupils with Swedish origin, in the Swedish education system.The purpose of this research is to find out if communication and interplay between the pupils makes it easier for them to understand Mathematics and its? concepts. My research involves acertain school class were all pupils have another etnicity then the Swedish one. My aim was to find out if the pupils reached the knowledge-goals for Mathematics in the third grade.

Abstract Arbetets art: Lärarprogram som har inriktning mot förskola och förskoleklass 120 hp. Titel: Matematik i förskolan, en jämförande studie mellan Polen och Sverige av läroplaner, samtalet på förskolan och pedagogernas arbetssätt Engelsk titel: Mathematic in preschool A comparative study of Poland and Sweden concerning curricula, preschool discourse, and how educators work Författare: Grönvall Anna Handledare: Ann-Elise Persson Examinator: Nils Andersson Datum: 2010-11-01 Mitt syfte med denna studie är att jämföra mellan Polen och Sverige det matematiska innehållet i läroplanerna, vilka arbetsmetoder som används i de båda länderna för att synliggöra matematiken och hur pedagoger använder samtalet för att stimulera barns matematiska tänkande och utveckla deras begreppsförståelse. Arbetet ger en översikt över tidigare forskning om matematiskt tänkande i förskolan. Jag har gjort en dokumentanalys av ländernas läroplaner (Lpfö, 98; Lp, 2009) och en semistrukturerad intervju kombinerad med observation. Studien är utförd på två förskolor i Polen och två förskolor i Sverige i barngrupper med barn i 4-5-års ålder.

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.

Den här C-uppsatsen, som handlar om geometri, har tre ingående delar. Den första delen berättar geometrins historiska utveckling från de första Babyloniska skrifterna via kända matematiker som Pythagoras och Euklides fram till utvecklingen av den icke-euklidiska geometrin. Den andra delen förklarar mer ingående några hållpunkter som uppmärksammades ur geometrins historia. Denna del beskriver Euklides axiomatiska framställning och bevis av Pythagoras sats, konstruktion med passare och linjal, Apollonius kägelsnitt samt en inblick i grunderna för projektiv geometri. I den avslutande delen har en jämförande studie gjorts av fyra olika läromedel för gymnasieskolan.

Sammanfattning Uppsats/Examensarbete: 15 hp Program och/eller kurs: Speciallärarprogrammet, SLPHAH12 Nivå: Avancerad nivå Termin/år: Vt/2015 Titel: En hjälpande hand ? Elevers uppfattningar om en strategimodell vid textuppgifter i matematik Författare: Anna Egard Bengtsson och Åsa Lindskog Handledare: Birgitta Lansheim Examinator: Therese Vincenti Malmgren Nyckelord: Lässtrategier, Matematik, Mathematic literacy, Problemlösningsstrategier, Textuppgifter Problemområde Utgångspunkten i vår studie är de nedåtgående läs- och matematikresultaten i svensk skola. I Lgr11 finns problemlösning nämnd både som en förmåga att utveckla och som ett centralt innehåll i matematik, men dagens matematikundervisning utgår i alltför hög grad från enskilt räknande i läroboken. För att utveckla elevers förståelse i textuppgifter behövs, enligt oss, både språket och matematiken lyftas fram i undervisningen och för detta behövs strukturerade problemlösningsstrategier. Syfte och preciserade frågor Syftet är att ta reda på elevernas uppfattningar om strategier vid textuppgifter i matematik. Vi har utvecklat en modell som på ett enkelt och strukturerat sätt stödjer eleverna när de arbetar med textuppgifter.

In the last few years people have become more and more aware of how humanity is affecting the climate. In the direction of reducing the greenhouse gases is to design engines with higher tensile properties and reduced weight, in order to achieve lower fuel consumption and cleaner fuel incineration in today's truck engines.In order to achieve these requirements it?s necessary to increase the combustion pressure in the engine. This requires higher tensile properties and high thermal conductivity of the engine material. The department of Component Technology at the University of Jönköping in collaboration with Volvo Powertrain AB, Scania CV AB and DAROS Piston Rings AB has been commissioned to develop this material and to find knowledge of material properties used in truck engines and piston rings used for marine applications.The purpose with this work is to analyze the tensile properties of a series of cast iron, cast under different metallurgical conditions.Four different series of cast irons have been analyzed from four points of view, carbon concentration, nodularity, amount inoculation and cooling rate.After the tensile test all specimen data was analyzed in a Mathematic calculation program called Matlab 2006a.

Denna studie har undersökt på vilket sätt elevers slöjdarbete kan stödja elevers lärandei matematik. Studien utgår ifrån det s.k. sociokulturella perspektivet där kunskap ochlärande utvecklas i samspelet mellan människor och där situationella betingelser ochspråket spelar en central roll för kunskapsutvecklingen. Studien bygger på enkvalitativ undersökning med inspiration från den metod som på engelska benämnsgrounded theory. Det empiriska materialet utgörs av observationer av eleversslöjdarbeten i textilslöjdens årskurs 3-9.

The purpose of my examination work was to show the need for support for students with another mother-tongue than Swedish, so that these students would be able to get through Mathematics tuition better. To achieve this purpose, I chose to start from the perspective that presented itself at interviews with two class teachers and two mother-tongue supervisors. I also chose to use the qualitative research interview as study method, as I tried to understand those informing me in a thorough and in-depth way. In my study I have had a sociocultural perspective as starting point where the conceptions teaching, language and communication, support and individualizing are central for the development of knowledge. The questions for my study during this process were as follows: What difficulties, according to the teachers interviewed can occur for second language students in Mathematics? What ways and methods of working do the teachers chosen give priority to, so that   the second language students` results in Mathematics will improve? The results from my interviews show that the difficulties with Mathematics for second anguage students can be perceived as being dependent on a combination of reasons, where amongst other things language plays a central part.