This master thesis, which has been carried out in collaboration with Fairtrade,investigates how sustainable development can be integrated in the mathematicaldiscipline in the Swedish upper secondary school. The study includedfindings on design and disposition, with sustainability themes relatedto Fairtrade. This since Fairtrade is going to use the study as a basis forthe development of an educational material. The results of the study areof interest to teachers and organizations that want to develop educationalmaterial that integrate sustainable development in mathematics education.The main focus of the study has been the teachers? preferences on dispositionand design.Semi-structured interviews were conducted with seven mathematics teachersin the Stockholm area.

 Title:              Not just words, classroom communication about subtraction in year 2Language:      Swedish with summary in English.Keywords:     Communication, mathematics, subtraction, teaching The purpose of this study is to analyze the mathematical communication in a classroom during a lesson in the field subtraction, and to find out how students describe their perception of mathematics that is communicated in the classroom.The study consists of the observations through the videotaping of two lessons in primary school grades 2 and student and teacher interviews related to these lecture occasions.Research indicates that Swedish pupils' mathematical skill continuously deteriorates in a national and international perspective, and that student experiences of mathematics in general are negative. The literature emphasizes the importance of communicating mathematics in various forms to deepen and develop understanding of concepts and mathematical operations. Communication must be generated between teachers and students but also between student and student to have a beneficial impact for the student.Our result demonstrate the different types of communication in the classroom but that communication does not always have a clear mathematical content in spite of teachers' mathematical intentions with teaching. The result also indicates that the mathematical communication that takes place, in essence, is a one-way communication where the teacher has a great opportunity to speak. The teachers perceived as oblivious to their own ways of communicating, but stressed in the interviews with an understanding of the importance of communication learning.

The purpose of this study is to provide a description of how mathematics teachers in grades 3 choose to work with mathematics and how it affects of student performance in national tests. The categories I will use are outdoor education, textbooks, learning materials and problem solving. Laboratory materials can be everyday materials and educational materials in which pupils have an abstract understanding of the subject. This survey was conducted through interviews and observations. The survey was also conducted in relation to student performance in national math tests.

A change has occurred in terms of recruitment to teacher education. From having been an educationof high status and reputation, a reduced application rate has led to lower admission requirementsand thus that students with much lower educational qualifications entering, which in turn means thatthe education status and reputation have been reduced significantly. Mathematics, on the other hand,has always been a topic of high status and reputation. Although there are few students who chooseto study to be a mathematics teacher. By conducting a survey of students on teacher educationtoday, both with mathematics and other approaches, I wanted to get answers to my questions aboutwhat influences students' choice of education: who are the students studying to be teachers inmathematics? Do they distinguish themselves from the student teachers who studies to be teachersin other subject specializations? Pierre Bourdieu's sociological ideas about cultural capitaltransmitted from parent to child constitute the theoretical framework of the study.Early in the study, I noticed that there is a difference between students studying to be a teacher inpreschool, primary or middle school and them studying to be a teacher in secondary and highschool, especially in terms of the mathematics student teachers.

This paper studies the philosopher Ludwig Wittgenstein during his years (1920?26) as an elementary school teacher in remote Niederösterreich, Austria. The paper gives a survey of his life, and also a brief account of three of his main works: Tractatus Logico-Philosophicus, Philosophical Investigations and Remarks on the Foundations of Mathematics. Attention is given to his alphabetical word list, Wörterbuch für Volksschulen, published for educational use in elementary schools. The study is focused on Wittgenstein?s educational practise, and establishes a connection between his experience as a teacher and his late philosophy..

According to both national and international political regulations, the school should as far as it is possible include students with special needs in regular education. However, when implementing these political intentions regarding an including school environment, problems often arise. The aim of this studie has been to investigate the opinions of teachers and students when it comes to inclusive education in Mathematics. The study has partly been based on interviews with students with special needs in Mathematics. These students were included in regular mathematics groups.

The aim of this research is to examine how the homes of children, in cooperation with the schools, are offered opportunities to communicate and discuss mathematics together with the children in relevant situations. The overall intent of the study is manifest in scientific questions with focus on how parents view the subject and the opportunities to support their children with math homework as well as possibilities to actively support their child´s mathematics progress. The paper has a pfenomenographic approach, which means that it in a qualitative way describes similarities and differences in the ways the homes perceive this issue. The examination is implemented through a survey in which responds from 73 parents in four classes have been studied. Within this study six semi constructed interviews have been conducted.

This study examines if the prediction of cardiovascular disease in hypertensive patients can be improved upon when renal function and microalbuminuria are added to the classical risk factors The predictive capability of a model is measured by discrimination, calibration, reclassification and Harrell's C.The results are ambigious. In most cases, microalbuminuria should be included in the model, but the results regarding the other measures of renal function are varied. Therefore, the selection of risk factors to include in the model depends on which measure of prediction one prioritizes..

One of the purposes of this work was to find out what it means to have a conceptual understanding of geometry. It describes how the geometry evolved from history and the geometry that is taught in grade one to nine and collage. The area examined was based on fundamental geometric objects for example two- and three- dimensional objects and its characteristics and especially focusing on the areas of perimeter, area and volume. The literature- review showed that the conceptual understanding was primary to developing a good knowledge of geometry. The second purpose of his study examined whether pupils achieved the goals in geometry by working with a Mathematics Book.

This project has aim to examine how students experience their concentration ability during mathematics lessons in the mornings and afternoons, and how students? learning can be in-fluenced by the concentration ability during mathematics lesson in the morning and after-noons respectively? Which role do the methods of learning play in mathematic depending on which time it is carried out during mornings or afternoons with regard to student concentra-tion ability? In order to find out those issues, I used two methods; (interview and observa-tion).Interview with 4 students and 3 teachers and observations of 4 mathematics lessons based on a qualitative method. In order to measure students' concentration ability during ma-thematics education on various times, I distributed questions to 23 students and repeated it during each lesson that I have observed from a quantitative approach in two classes in a sec-ondary school. In the literature I discuss the definition of concentration, and factors affecting the concentration negatively and positively. What is the relationship between concentration, learning and type of activity and how individuals can improve their learning and attention? In addition I studied two earlier studies on the concentration.

The aim of this study is to investigate into the use of discussions in the classroom to help the pupils develop a deeper understanding of mathematical concepts and operations. The empirical data contain interviews with two teachers and observations from their lessons. The purpose of the interviews was to find out what importance the teachers ascribed to the ability of their pupils to talk about mathematics, and how they organised their classes to encourage mathematical discussions. With the observations, I was able to see the interaction in the classroom and hear discussions between the teacher and the pupils, as well as between the pupils themselves.The interviewed teachers proved to share my own belief in the results of researchers like Malmer (1999) and Löwing (2006) about the importance of verbal discussion, argumentation and reflection during mathematics classes. But convictions derived from the research of others are one thing, the practical application of the wisdom in the classroom another.

Mathematics is a central topic in today?s society. There are many different approaches each teacher has their own way. In this essay, I compare four teachers? mathematics teaching in two different countries with regard to ways of learning, particularly in the four operations.

The purspose of this study is to investigate how teachers are working to individualize mathemathics education relative to high-performing students and how they define the therm individualization. According to the Swedish curriculum the teaching process should be based on the students prevoius knowledge and experiences. The teachers should in their preperation take every student in to consideration. To be able to investigate these subjets I prepared following questions:What does the concept of individualization in mathematics mean for the teachers?What does it mean to work with an individualized mathematics teaching?How does teachers individualizes teaching mathematics relative to high performing students?This study is based on a qualitative method with both interviews and observations.

There have been debates on the big differences in mathematics knowledge concerning pupils in Sweden and Finland. Especially, one common issue in the discussions of education is the Pisa test results, which take up in the media. In the Pisa research the Finnish pupils get through well year after year. Because of the discussions about the distinct school systems in Sweden and Finland, I found it interesting to investigate the divergence of the curriculums in these two countries. The main research questions asked were, what are the main differences and similarities in the Swedish and Finnish curriculums in primary school? Such as, is the assignment of primary school similar in Sweden and Finland?In my study I analyzed and compared by means of the curriculum especially mathe-matics teaching in primary schools in grade three in Sweden and in grade two Fin-land.

This study investigates the teaching strategies of four teachers, and determines which teaching strategies give better results in mathematics at the middle school level? Result here means the knowledge level of the students. The result has been measured through leave out a mathematical test, which I leave out designed. Teaching strategies have been assessed through interviews with teachers and observations of their lessons.My study shows that to go through the lessons thoroughly in the traditional way, and open discussions with the whole class are best for students achievements.The information available, however, is too limited to draw some general conclusions, but my study can be seen more like a counter-example to the general praxis that is short lectures and individual assessment with one to one communication when teaching Mathematics..