During my practical training period I observed that many of the students have a negative attitude against mathematics. I also observed that these students have a difficulty reaching the goals in the subject. In my opinion there are different factors that can be the reason to why these students experiences mathematics as a difficult subject in school. This is the reason why I wanted to find out which factors that lies behind the difficulties and how the pedagogues work to support these students. It is also significant that every single student get their rights to develop a positive attitude against mathematics and that the pedagogue supports the students in their development.The point with this degree project is to find out, with the help of three pedagogues, which factors that could lead to difficulties in mathematics with students.

The purpose of this study has been to investigate how four 3rd grade pedagogues allow communication in the teaching of mathematics and how these pedagogues allow their students to use and expand their language of mathematics. It has also been an aim to investigate these four pedagogues? opinions about the significance of communication and of the language of mathematics for students? mathematical learning.The study is based on a sociocultural perspective of Vygotskij?s. The theory implies the importance of using the language and communication for students? learning.

The aim of my study is to investigate how last year students in upper secondary schoolunderstand certain mathematical concepts, in particular the unit circle and its trigonometry.I have used intentional analysis to interpret student?s actions when they solve certain tasks onthe basis of a cognitive, situated and cultural context.Interviews with four university teachers in mathematics about the unit circle, trigonometry,and mathematical understanding, serve both as background for the study and as basis for adiscussion, where I relate students understanding to what the teachers want new students toknow about these concepts when they begin university studies in mathematics.The students were arranged in three groups with three students in each group. Each group waspresented with two tasks, one in which they were asked to calculate the cosine values for onepointed, one blunt and one straight angle, each located in a separate triangle. They were alsoasked to decide whether the points (0,71; 0,71) and d (1 2 , 3 2 ) are located on the unit circleor not.My conclusion is that students mainly have an operational conception of the unit circle andtrigonometry. The lack of structural conceptions result in difficulties in seeing connectionsbetween the concepts in unfamiliar situations.

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.

The purpose of this study is to find out teachers view on manipulatives as a way to concretize a certain mathematical content and to highlight knowledge and experiences within the range of using manipulatives to concretize. By answering the questions below different approaches a teacher may have towards the manipulatives and how that may impact on student?s learning will also be discussed in comparison to mainly traditional and socially constructive theories of learning.What is the teachers view on manipulatives as a way to concretize?What purpose do they have when using manipulatives?According to the teachers, what does it mean to concretize a certain mathematical content?According to the teachers, what connection is there between manipulatives and concretizing?Through interviews and observations conclusions can be made that the teachers are in general positive towards using manipulatives as a way to concretize a certain mathematical content although the definition of what a manipulative is differ somewhat between the teachers. The teachers working with manipulatives do it in a well thought out fashion but more research is needed to furthermore define the purpose of using manipulatives. Few countries spend so much time concretizing and working with manipulatives as Sweden do, but still Sweden score below the OECD-average on the mathematical PISA-tests.

This paper presents the results of a study of dyscalculia. It is a retrospective archival study implemented with a deductive approach. On the basis of established research and theory 18 analytical categories were formulated, before a deductive thematic analysis of empirical material, consisting of journal data of 17 students investigated for dyscalculia, 14 girls (82.4%) and 3 boys (17.6%).The purpose of this study was to investigate the relationship between the concepts formulated in research on dyscalculia and actual Mathematical difficulties as those found in practice of students at school.All pupils had early and long-term difficulties with mathematics, while not showing any difficulties in other subjects. Most have had an unsatisfactory learning environment. All had normal intelligence but difficulty with certain cognitive, self-regulatory and linguistic features.

Rock groundwater has always caused major problems when tunnelling. Water leaking into tunnels can cause large problems, not only on the construction itself but also on the environment. A continuous water leakage can lead to a declining water supply, and geotechnical problems can occur as subsidence in the ground. Therefore it is of great importance to predict the consequences that can appear in the surroundings due to a declining groundwater surface.The aim of the study was to investigate different methods for predicting leakage and changes in groundwater level due to tunnelling excavations in rock. This thesis was performed by comparing mathematical methods, actual groundwater changes and results from preliminary investigations.Investigations were made for three railway tunnels planned by Botniabanan AB.

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.

Syftet med studien är att undersöka samband som visas tydligt hos elever i både matematiksvårigheter samt fonologiska svårigheter. Studien har genomförts på elever i årskurs 7 som uppvisat matematiska såväl som fonologiska svårigheter. Resultatet baseras på en filmad observation där eleverna fått lösa ett urval uppgifter konstruerade utifrån svårigheter gällande grundläggande taluppfattning och aritmetik. Elever med fonologiska svårigheter såväl som bristande arbetsminne visar sig ha svårigheter när det gäller att automatisera tabellkunskap såväl som utföra beräkningar gällande de fyra räknesätten..

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 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..