Lärare planerar undervisning och väljer vad eleverna ska arbeta med. Denna studie syftar till att undersöka lärares tankar om vilket matematiskt innehåll elever möter samt vilka förmågor elever tränar i arbetet med en uppgift i matematik. Studien genomfördes genom intervjuer med fem lärare som fick svara på frågor kring en uppgift i matematik. De övergripande frågorna handlade om matematiskt innehåll och förmågor, men även uppgiftens koppling till Lgr11 efterfrågades. Lärarnas svar kopplades till de specifika kunskaper som behövs för att undervisa i matematik.Studien visade att lärarna i hög utsträckning sorterade in uppgiften inom området kombinatorik och att de framförallt såg uppgiften som en problemlösningsuppgift.

The aim with this master thesis is to analyze a scientific material concerning the context between learning and child/student development, and factors which controls process of learning, to create an image with quality account and teaching in mathematics, which then can raise the mathematical knowledge among students.The phenomena which stand in focus for the investigation is: why there is a negative tendency for development of knowledge in mathematics, among the Swedish students that TIMSSs investigations showed in intercultural comparison within the years 1993, 1999, 2003 and 2007.The method is the ethnographical method, which is based on: analyzing scientific theories about learning child/student development, factors which controls process of learning, and factors which controls process of learning the most and qualitative empiric investigation with qualitatively analyzes the questionnaires, which is about factors which are controlling the process of learning and factors which are controlling the process of learning the most.Result of the theoretical and empiric analyzes shows that factors as school environment, attitude for subjects and teaching, controls and influence the learning. To end a unenthusiastic tendency as a negative development of mathematical knowledge among students that is shown in TIMSS investigation and to elevate the students' performance in mathematics, an elevated qualitative account and teaching in mathematics, by the factors named. Safe school environments as the intercultural meeting place, the teachers influence part to the students' subjects' attitude in mathematics and goal related grading criteria in teaching, is all required for e qualitative teaching in mathematics..

The aim with this master thesis is to analyze a scientific material concerning the context between learning and child/student development, and factors which controls process of learning, to create an image with quality account and teaching in mathematics, which then can raise the mathematical knowledge among students.The phenomena which stand in focus for the investigation is: why there is a negative tendency for development of knowledge in mathematics, among the Swedish students that TIMSSs investigations showed in intercultural comparison within the years 1993, 1999, 2003 and 2007.The method is the ethnographical method, which is based on: analyzing scientific theories about learning child/student development, factors which controls process of learning, and factors which controls process of learning the most and qualitative empiric investigation with qualitatively analyzes the questionnaires, which is about factors which are controlling the process of learning and factors which are controlling the process of learning the most.Result of the theoretical and empiric analyzes shows that factors as school environment, attitude for subjects and teaching, controls and influence the learning. To end a unenthusiastic tendency as a negative development of mathematical knowledge among students that is shown in TIMSS investigation and to elevate the students' performance in mathematics, an elevated qualitative account and teaching in mathematics, by the factors named. Safe school environments as the intercultural meeting place, the teachers influence part to the students' subjects' attitude in mathematics and goal related grading criteria in teaching, is all required for e qualitative teaching in mathematics..

The purpose with this study is to gain understanding about student´s view of mathematical education, in the later years of nine-year compulsory school, and the motivation factors that can be identified when student´s gives opportunity to express their own thoughts due to the mathematical education. From experiences we have gained during the practical part of our teachers education we got the impression that student´s think that the mathematical education is boring and uninteresting. Through qualitative methods such as survey and discussions in focus group we have analyzed student´s views of mathematical education and pointed out witch motivation factors that are expressed when student´s gives opportunity to influence over their own education. The results are shown from the answers and comments that student´s gave, during the survey and focus group, and is divided into two main parts, both with focus on motivation ?Mathematics and motivation? and ?Student´s influence and motivation? and also a summery part ?Motivated for mathematical education when the student is given influence over the education?. The study showed that student´s wants to have more difference in the work methods that are used in their mathematical education such as problem solving, games, more work in groups and pairs and more use of IT. In conclusion the study also gives suggestions to other studies that can be made in the same genre as this study in the way that IT can be used in mathematical education and how student´s interest can be used in the education to gain more motivated student´s..

The purpose of this study is to show the importance of task texts for students in grades 5 when solving mathematical problems. It was conducted in a class 5 (where the children are 11 years old). The pupils were assigned two different tests with mathematical problems; one where the problems were described in text and one where the problems were presented with numbers and mathematical signs. Previously done research, done on bilingual children, (Bernardo, 2002) shows that pupils tend to do better on mathematical tests when no text is presented. My research supports that theory even though the correlation is not that strong.

ABSTRACTThis essay has as its main purpose to examine how teachers handle teaching in art, after the governments steeredocuments and goals to reach.To find out about it I have done interviews with four teachers. I have made a study of litterature to introduce some different teaching methods that is more or less meaningful and useable. The result of the examination was different from what I expected. The interviews showed that the four teachers work in varios ways after their own conditions. They have different experiences and also have different opinions about what is most important in the art teaching.

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 study?s aim is to investigate how multilingual students learn mathematics and teaching strategies used to support the students? development of knowledge. A total of eleven scientific articles were selected for analysis and comparison. The results showed that visual representation, multimodal forms of expression and the students? whole linguistic repertoire constitute central resources for learning.

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.

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.

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.

Undersökningen beskriver den matematiska kommunikationen mellan speciallärare och matematiksvaga elever. Den empiriska datan består av två matematiklektioner från år 9 i grundskolan. Datan analyserades för att finna olika typer av kommunikation.Lärarna var i många delar medvetna i sitt sätt att kommunicera med eleverna och undervisningsmiljön kändes trygg. Under lektionerna observerades två parallella språk, ett vardagsanknutet och ett matematiskt språk. Det framkom att ett tydligt förhållningssätt beträffande matematiskt språk kan underlätta för elevens inlärning samt medvetandegöra läraren om den kommunikativa betydelsen i undervisningen med styrdokumentens mål i fokus. .

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.