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.

The reason I am writing this essay is due to my curiosity on how children are interested in and how their understanding in geometry is at preschool years.My interest lies in children and arithmetic and especially geometry, which is something I belive that children deal with a great deal in their everyday routines, both in school and at home.What do children do when they work with geometry, and are they aware of what they do? To figure this out, I have taken my findings from three different interviews that I have done atmy preschool with a group of children that have been preselected.I am also curious about whether there is a difference in different types of schools. In this essay I have compared the preschool I work with a Montessori school and a third type of schoolwhere the children spends most of their day´s outdoors called ?Ur och Skur?In my results I can not see any major differences in these three preschools work with mathematics. The childrens knowledge is at a similar level and the work with geometry hasbeen implemented in a similar way..

The reason I am writing this essay is due to my curiosity on how children are interested in and how their understanding in geometry is at preschool years.My interest lies in children and arithmetic and especially geometry, which is something I belive that children deal with a great deal in their everyday routines, both in school and at home.What do children do when they work with geometry, and are they aware of what they do? To figure this out, I have taken my findings from three different interviews that I have done atmy preschool with a group of children that have been preselected.I am also curious about whether there is a difference in different types of schools. In this essay I have compared the preschool I work with a Montessori school and a third type of schoolwhere the children spends most of their day´s outdoors called ?Ur och Skur?In my results I can not see any major differences in these three preschools work with mathematics. The childrens knowledge is at a similar level and the work with geometry hasbeen implemented in a similar way..

Purpose: The purpose of the study is to find out what mathematical content primary school children encounter in their free options at school.Through observation, the study defines mathematical areas that primary school students encounter in their free options at school. We want the study to show the reader the mathematics that students continuously meet without associating it with regular mathematics as taught in school.A number of mathematical areas have been defined in the analysis of the observations. These areas have subsequently been discussed more thoroughly. Finally, the areas have been arranged in a grid system to clarify the results.In our study, we have discovered that mathematics exists in all the observed situations the students participated in.We believe that observation as a method can give teachers a tool for helping students associate practical actions during their free options with the more theoretical aspects of formal teaching of mathematics. We discuss this further in the study..

This report is a qualitative study on children aged three to five years who are in the Swedish preschool. The purpose of the study is to investigate how five experienced preschool teachers view the way children between three and five years acquire basic mathematical concepts, basic numeracy and geometry. The aim is also to find out whether teachers feel that the size of the group of children affects their learning.The study contains information about what preschool teachers think about the way children learn mathematics and how the size of the group of children affects this learning. From the results it can be seen that children learn Mathematics, both in everyday situations and when playing. Moreover, the group size does not seem to affect the mathematical learning of the child.

This study examines how formal mathematics can be taught in the Swedish secondary school with its new curriculum for mathematics. The study examines what a teaching material in formal mathematics corresponding to the initial content of the course Mathematics 1c could look like, and whether formal mathematics can be taught to high school students.The survey was conducted with second year students from the science programme. The majority of these students studied the course Mathematics D. The students described themselves as not being motivated towards mathematics.The results show that the content of the curriculum can be presented with formal mathematics. This both in terms of requirements for content and students being able to comprehend this content.

This thesis is basically an attempt to discuss the intrinsic intersubjective nature of the so-called ideal sciences, i.e. geometry or arithmetic. Based upon a thorough analysis of Husserls The Origin of Geometry and Derridas Edmund Husserl's Origin of Geometry: an Introduction this thesis takes geometry as an example of an ideal science. The main question of the thesis is how an ideal science or object is constituted. The thesis consist of two main chapters - ?Geometry and Historicity? and ?Language?- and a concluding discussion.

Research indicates that a more hands-on education in mathematics could improve how students relate to mathematics. Laboratory mathematics is a way of making mathematics more concrete.  How is the purpose of laboratory mathematics perceived? This thesis has its focus on the pupils? perceptions of the purpose of laboratory mathematics, but the intention of the teacher involved is also investigated. The main research questions asked were:What is the teacher's definition of laboratory mathematics?Which is the teacher's purpose in using laboratory education?How do the students perceive the purpose of the laboratory teaching of mathematics?To answer the questions, I conducted a series of qualitative interviews.

The purpose of my study is to investigate teachers? opinions about learning difficulties in mathematics.I have read relevant literature on this subject. I have conducted interviews with seven class teachers, one special-needs teacher, a psychologist and one special-needs teachers who specifically worked with investigations concerning pupils with difficulties in mathematics.The result of my study shows that learning difficulties in mathematics can/might be prevented if children in pre-school are introduced to mathematics as early as possible. This should be done in a delightful way in their daily activities and while there are playing. I didn?t find any complete method to help children with mathematics difficulties in compulsory school.

This is an empirical study of how the mathematical talk of adult learners constructs/reconstructs different mathematical discourses. The study is to be regarded as an attempt to develop a discursive approach within the field of mathematics education and to complicate the status of mathematics in education and in society in general. My theoretical underpinnings consist of three possible mathematical discourses ? coercive, regulative and emancipative mathematics. From a discursive psychology perspective, I let these discourses function as analytical interpretive repertoires in relation to the adult learners? rhetorical use of mathematics and their claiming of mathematical subject-positions, named the coerced, the self-regulating and the responsible mathematician.

This study examines how formal mathematics can be taught in the Swedishsecondary school with its new curriculum for mathematics. The study examineswhat a teaching material in formal mathematics corresponding to the initialcontent of the course Mathematics 1c could look like, and whether formalmathematics can be taught to high school students.The survey was conducted with second year students from the science programme.The majority of these students studied the course Mathematics D.The students described themselves as not being motivated towards mathematics.The results show that the content of the curriculum can be presented withformal mathematics. This both in terms of requirements for content and studentsbeing able to comprehend this content. The curriculum also requires thatthis type of mathematics is introduced in the course Mathematics 1c.The results also show that students are open towards and want more formalmathematics in their ordinary education. They initially felt it was strangebecause they had never encountered this type of mathematics before, but somestudents found the formal mathematics to be easier than the mathematicsordinarily presented in class.The study finds no reason to postpone the meeting with the formal mathematicsto university level.

The aim of this thesis is to examine how the history of mathematics can be used in teaching and whether pupils? attitudes to mathematics can be affected by this. In order to do this a school project about the history of mathematics is planned, implemented and analysed.The following questions are addressed:? Why use the history of mathematics in teaching?? How can the history of mathematics be used in teaching?? Can a historical perspective in teaching affect pupils? views on mathematics?The school curriculum emphasizes the importance of history in teaching. Literature, scientific articles and government inquiries call attention to the positive effects of including a historical perspective in teaching.The school project, which underlies this thesis, is put to practice by 25 pupils in a mathematics science profile class.

The purpose behind this work was to investigate whether I could from a practical approach to create desire for mathematics among students in primary schools. I wanted also to find out how students feel about their current mathematics teaching. By introducing an equation game, and interviewing students to find out their perception of their mathematics teaching, I was able to answer my questions. What I came to was that through a practical and laboratory work, I could create an enjoyable educational opportunity in mathematics. Then during the interviews I also learned that students had not a pre-determined negative attitude towards mathematics.

The aim is to find out how teachers apply the knowledge they get from mathematics pilots in preschool and from mathematics developer in the municipality, as well as how they work further towards the children with mathematics.The study is based on qualitative interviews with two teachers, one mathematic pilot and one mathematic developer. I used the semi-structured interview questions.The results show that teachers believe that mathematics pilots will inspire the teachers in their work with mathematics in preschool. One of the teachers who were interviewed said:?Mathematics pilots should be those that have the strongest glasses and coming up with new ideas and they push the rest of the teachers in their work with mathematics in relation to children in preschool?.The teachers use the correct terms for mathematical concepts with the children. They also stressed how important it is to point out to the kids that it is mathematics that they are doing.The conclusion of the study is that the teachers agree that it is their approach towards the children that is important and how they can lead the children?s interest of mathematics forward.

The purpose of this study was to gain knowledge of what preschool teachers think that mathematics in kindergarten is, and if the revised curriculum which came in July 2010 changed their approach. The survey consists of interviews of five preschool teacher and an aspiring preschool teacher. They have shared their experiences and knowledge about what they regard as mathematics in kindergarten. I asked how they interpret the new curriculum for math and if it has made them work in a different way or if they do as the used to. The results that came up where that they felt that their views on mathematics have changed.