Verifiering med hjälp av dator av två oberoende formler för beräkning av antalet lösningar för linjära kongruenssystem med två eller tre obekanta..

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.

The purpose of this study is to investigate and describe the role of course books for teaching English to children at intermediate level of primary school in Sweden. The essay is based on a descriptive, qualitative method and interviews have been conducted with seven teachers in different schools, teaching English in year 4, 5 and 6.The result of the study shows that course books have considerably influence on the teaching of English in the schools who took part in this investigation. The participating teachers use a course book as main teaching material and almost everybody follows the traditional routine working with Textbook and complementary tasks in Workbook every week. They base their lessons on course books and use alternative teaching material mainly for fun activities, speaking practice and individualization. Even though all teachers rank speaking and listening as most important for new learners, it is reading which has the largest impact on their teaching.

English is an international and global language that students, regardless of mother tongue, encounter in their everyday lives. In Sweden, students are introduced to English teaching in year 1, 2 or 3, and in some cases, year 4. English teaching can sometimes be problematic when the language of instruction often consists of Swedish, which for second language students becomes a challenge to acquire new skills in a week language.The study aims to examine, with a qualitative study, how pedagogues plan and implements English teaching in first grade with students whose mother tongue are other than Swedish. Further, the aim was to examine how pedagogues say they relate to the fact that second language pupils participating in English lessons and if they think it affects their English teaching.The conclusions is that the pedagogues has probably not been problematized the phenomenon examined and say they do not adapt their teaching. In the interviews reveals information about the teaching method which, in my opinion, indicates that, unconsciously, adapting their teaching when they have second language students.

This study is part of an international project, The Third Wave Project. The project aims to conductstudies with students of different cultures to see what they value as important in mathematics andmathematics learning. Part of the project involves carrying out a survey, the WIFI study. The WiFistudyaims to examine values of Mathematics teaching that may affect student learning. The valuesthat are examined in this study are based on the mathematical values which are described by Bishop(1991).

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.

In my study I have chosen to examine the mathematics in children's free play and everyday situations, with focus on sorting and classification. The purpose of the study was to see how children express their mathematical knowledge. I have chosen to use a qualitative method in my examination, here I did observations in a children's group where the children were between three and six years old. I also did interviews with the teacher's on the department to see how they relate to the mathematics and how they formulate the department to achieve as good a learning environment as possible.The result shows that the teacher's approach is incredible important to the children's learning ability and that they are always present to challenge and discuss together with the children. The observation indicates that children use mathematics all the time in their everyday situations and that it is the interaction between individuals and environment that affects children's development. .

The purpose of this thesis is to examine how the Viking age is described in textbooks and teaching aids in the countries Sweden and Great Britain. The examination is done through a text analysis, specifically called textbook or teaching aid analysis, where the content of the teaching aid is examined.                      A literature survey with thoughts and statements regarding the Viking age of writers and experts, from both countries, are included.                       This examine is also to answer the question whether the teaching aids are typical or infrequent in relation to each other inside the explicit country, but also between the countries.   The result shows that the teaching aids in the main are typical in relation to each other. Some differences do exist and shows themselves in the choices of dispositions and layout, also in a few numbers of cases in the content. .

Enterprise learning is a pedagogic concept that implies that the students, in correlation with development of theoretical, subject specific knowledge, also develops enterprise competences that will be useful in their everyday life and on the labour market. Enterprise learning has grown over the last ten years, as well in school practicing as within research. In the mathematics subject, a strong educational tradition has delayed the introduction of enterprise learning. At the examined school, enterprise mathematics has been introduced during the spring term of 2010. This examination focuses on which of the enterprise competences that are developed and how they are developed.

This paper is about finding a set of unwritten rules pertaining to the teaching of history in an exclusively Swedish college. I want to know if truancy among immigrants has anything to do with SO teachers? choice of content or their teaching methods. Unwritten rules are a complex phenomenon but by applying different perspectives and teaching methods a pattern will emerge. It is possible to discover different influences in the way the teacher chooses their material and work plan.

English is an international and global language that students, regardless of mother tongue, encounter in their everyday lives. In Sweden, students are introduced to English teaching in year 1, 2 or 3, and in some cases, year 4. English teaching can sometimes be problematic when the language of instruction often consists of Swedish, which for second language students becomes a challenge to acquire new skills in a week language.The study aims to examine, with a qualitative study, how pedagogues plan and implements English teaching in first grade with students whose mother tongue are other than Swedish. Further, the aim was to examine how pedagogues say they relate to the fact that second language pupils participating in English lessons and if they think it affects their English teaching.The conclusions is that the pedagogues has probably not been problematized the phenomenon examined and say they do not adapt their teaching. In the interviews reveals information about the teaching method which, in my opinion, indicates that, unconsciously, adapting their teaching when they have second language students.

This study is made in order to see how music teachers pedagogic design their teaching from a semiotic design theoretical perspective. A survey was done in a study to see how the music college students experienced their music theory teaching. This was followed by an observation of two different music theory teachers teaching music theory and with subsequent interviews. One teacher taught music theory at a swedish non-compulsory School of Arts, Kulturskola, and the other music teacher taught at an independent adult education college. The study's questionnaire, observation and interview revealed patterns of teaching, probably largely due to the teaching tradition.

The authors were curious and asked themselves if teachers are aware of the base of their teaching in various teaching situations. Are teachers at all capable of expressing that in words? One of the reasons that the authors chose the particular issue was because they think teachers have the task to satisfy the needs of all students and therefore they found it interesting to study how various teachers act. The purpose of the study is to observe teachers didactical awareness, and how it can be added to their intentions and actions, as in how they speak about their teaching and how they act in various teaching situations. Methods used in the study were observations and qualitative interviews.

The purpose of this study is to examine discursive change regarding mathematics and language in the Swedish primary school curriculums. The study analyzes pedagogical discourses represented within the curriculums and how they represent different pedagogical theories in relation to discursive and social practice. The analysis shows a change towards a more language oriented curriculum discourse in mathematics which still carries an intertextual and discursive heritage from the prior curriculums. In relation to the early curriculums of the Swedish primary schools the former explicit differentiation of students becomes implicit as the language skills become of increasingly importance..

Syftet med detta examensarbete är att undersöka undervisning och lärande under en matematiklektion som präglas av traditionell skolmatematik. Metoden för undersökningen var en deltagande observation av en matematiklektion i åk 3 på gymnasiet. Med hjälp av begreppen matematikens lärandeobjekt, matematiska resurser, eleven som lärande aktör och sociomatematiska normer har jag tolkat de resultat som genererats från observationen. Två slutsatser som kan dras av undersökningen är att eleverna stimuleras till att bli oberoende lärande aktörer i undervisningen av traditionell skolmatematik samt att det i första hand är läraren som synliggör potentiella matematiska resurser för eleverna. Medvetenheten om elevernas användande av matematiska resurser skulle kunna påverka elevernas lärande genom att läraren synliggör matematiska resurser på ett mer medvetet sätt..