This paper investigates the methods used by teachers when teaching elementary mathematics to children with Swedish as their second language. The original mathematical terminology derives from Latin, Greek and Arabic, this terminology is not of great importance in this paper, the everyday language spoken in elementary classes when teaching mathematical concepts and calculations to younger children is. The use of everyday language is an advantage for children with Swedish as their second language as mathematical problems presented in a more plain language is easier to comprehend and solve than problems in mere numerals. Special teachers in home language classes often have the task of clarifying the mathematical concepts, introduced to the children during mathematical lessons, in the pupils first acquired language. A qualitative method was used in this study.

This study illuminates one part of the mathematic teaching in school, which is mathematical problem solving in groups. It examines teacher?s and student?s ideas about what conditions it takes to be able to learn in groups. Further on, it studies the importance of group structure when it comes to working with mathematical problem solving in groups from a process focused and/or a product focused learning. Through observations of student groups and interviews with the students and the mathematic teachers, the material has been compiled and analysed under three different headings: conditions for learning in a mathematical problem solving situation, importance of group structure in a mathematical problem solving situation and process versus product.

In this thesis we study four groups of students in grade 8, 9 and 10 when they try to solve a classical mathematical problem: Which rectangle with given circumference has the largest area? The aim of the study was too see how the students did to solve a mathematichal problem?The survey shows that students have rather poor strategies to solve mathematical problems. The most common mistake is that students don?t put much energy to understand the problem before trying to solve it. They have no strategies.

The purpose of this study is to investigate how teachers approach communication in their mathematics instruction. The communication involves concepts such as teachers' mathematical language, incorrect answers, and various interaction patterns. In line with this, the study also examines how these types of communication may affect students in the classroom. Furthermore, observations and interviews were conducted with five different teachers in Sweden using an observation scheme and an interview guide. The results reveal that four out of the five teachers use both child-directed and adult-directed language when addressing students at different levels of mathematical understanding.

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.

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.

The purpose of this study is to examine senior high school students? strategies and reasoning when solving mathematical problems and make a review of the concept problem solving. The purpose is also to examine if the students? choice of strategies are influenced when their mathematical knowledge is improved.The study was conducted in two science classes at a senior high school. All the students were asked to individually solve two mathematical problems.

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..

Empirical research shows that a possible reason why Swedish students mathematical knowledge deteriorates can be a too big focus on imitative reasoning, i.e. recalling solutions or follow algorithms, and a lack of creative mathematical reasoning, i.e. when a student construct his/her own solution and motivates its plausibility with mathematically well-founded arguments. The purpose of this study is therefore to examine if, and in what way, lecturers can provide students an opportunity to learn creative reasoning by simulating creativity in their presentations of examples. Six lectures were observed and 22 task situations were analyzed with respect to three aspects; reflection, plausibility and mathematical foundation, which are to be present in the situation if the reasoning will be seen as simulated creative.

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.

The objective of this study was to bring further knowledge to the subject as to what influences students motivation and self-esteem. The study had focus on role that the teachers play in these aspects. The study was done by using both a qualitative and quantitative approach. The qualitative method was interviews based on six interviews with two teachers and four students from two different classes. The quantitative method was a questionnaire study that was done in both classes.

Concrete is a very common construction material. It´s characteristics are strength, durability and formablility. Superplasticizer is a common admixture, which changes the properties of concrete. Today (spring 2007) there are no certian mathematical methods to calculate the required percentage of this admixture needed to give the necessary set slump flow in the overall concrete recipe. Concrete batching companies must therefor experiment with different amount of superplasticizer in order to meet the specified slump and strength. The purpose og this report is to investigate if any mathematical relation can be established between the amount of superplasticizer used and the slump flow achieved. After carrying out some practical experiments using four different superplasticizers a direct relationship can be establish between the percentage of admixture used and the slump/flowability achieved. Unfortunatly at present due to the numerous variables, the calculation of mathematical formula can not be achieved..

The purpose of my study is to examine how four preschool teachers go about using the term play in children's early mathematical development. In order to fulfill the purpose of this study, I have the following questions:How the preschool teachers visualize mathematics in children?s play?What reflections have the preschool teachers about the importance of play for children's mathematical learning in preschool?How do the preschool teachers see on their own role in the children's play?In this study, I have conducted a semi-structured qualitative interviews based on the interviews with four preschool teachers from various departments in a preschool. I have also conducted some observations to complete my study. Whereas in my analysis of the researched material, I have used Vygotsky's theory.The survey shows that the preschool teachers are aware of the use of mathematical language and concepts in children?s different activities which were conducted daily in the preschool.

The starting point of this work has been to get knowledge about teachers working in a mathematical workshop with the students. I also wanted to investigate what students think about math, both within the workshop and in traditional teaching.To achieve this I chose to interview a teacher in charge within the framework of a mathematical workshop, and six students in the 5th grade. I also did a lesson observation with the purpose to see how well the teacher?s tutoring agrees with the results of the interview.In this study I have discovered that the lessons in the mathematical workshop are planned after what the students are working with in the textbook. The teacher opens the lessons with the whole class and then splits it up in groups.

The purpose of this study is to see how some teachers in primary school creates and adapts their mathematics teaching for students with special mathematical abilities. It also aims to identify opportunities and challenges that teachers see in creating a teaching adapted to these students.In this study, qualitative interviews has been done to collect data. The interviews were conducted with five teachers who all are active in the primary school.The study results show that there is great variation in how the interviewed teachers create their mathematics teaching for students with special mathematical abilities. The use of mathematics book proved to be significant for how this adaptation took place. The result also shows that the teachers? explanations for the choice of the adaptations that they make in teaching vary.