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 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 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 Swedish curriculum points out mathematical communication as one of the importantabilities that students need to develop. Previous studies show that students have not been given the right conditions to develop this ability sufficiently. The purpose of this study is to investigate how some Swedish teachers interpret mathematical communication and how the work with this takes place in their classrooms.The investigation consists of qualitative interviews with six teachers in the grades of Fk-3. The interviews have been focused around the teacher's interpretation regarding mathematical communication, how this is reflected in their work in the classroom and also if they see any advantages or difficulties in working with mathematical communication with their pupils.The result of the study shows that the teachers are well aware of the importance of communication and they have a will and an intention to let the pupils communicate mathematically. Mathematical communication is emphasized mainly as important for the pupil's learning and understanding.

This essay focuses on the pictures in mathematics books for elementary school. The purpose was to see if images in mathematics books for elementary school show traditional gender roles.The aim of the essay has been broken down into following research questions:Vilka färger förknippar de olika matematikböckerna till pojkar/män respektive flickor/kvinnor?How many times were girls/women and boys/men illustrated in the mathematics books?What behavior is associated with masculinity and femininity?Which colours are associated with boys/men and girls/women in the mathematics books?I used a semiotic image analysis method to study the pictures presented in the mathematics books. The theories in this essay were used to see how society makes girls become girls and boys become boys and in what ways the genders are portrayed in relation to each other. In addition, the theories include the question of whether a specific colour is given to a specific gender? The analysis evidently confirmed that the images in the mathematics books demonstrated traditional gender roles.

Most of my 16 students show a negative attitude towards mathematics and have difficulty understanding why they need mathematics to work as cooks. Their lack of knowledge has a negative effect on their work in the kitchen because they cannot master relatively simple mathematical solutions. The purpose of this study is to examine if an integrated working method of the subjects mathematics and cooking can change students? attitude towards mathematics and increase their understanding of the value of it in restaurant work. An integrated working method means to integrate the core subjects with programme specific subjects and that teaching is directed towards the main features of the vocational programme in order to create a holistic view.A theory of action research has been applied in this study, aiming to change something perceived as problematic through combining theory and practice in the cooking subject.

This study was designed to describe and understand how children perceive and explain mathematical situations. During our work based training we have met several students who have been insecure in the subject of mathematics and therefore come to think that it's difficult and boring. The questions we have asked ourselves are why and how this insecurity occurs. In preschools around the country teachers actively worked to create opportunities for children to meet and discover mathematics. The question is whether the teachers are aware of how children perceive mathematics and how children think in mathematical situations. We chose to conduct a qualitative study using different methods of data collecting in order to approach the children's world.

The purpose of this report is to find out how we can work with learners on the basis of their opportunities in mathematics. I also want to look into, how one views this question in other cultures that are different from our own. I have, in order to reach my purpose, looked on what literature there is on this matter. I have also made three interviews in a township in South Africa. The result I got from my survey was that the teachers I interviewed had a similar point of view on the teaching of mathematic as we have in Sweden.

Swedish school children exhibit deteriorating knowledge results in terms of reading comprehension. Previous research shows that a method to increase the level of knowledge is the use of evidence-based learning techniques. Test based learning generates what is commonly referred to as a test effect, which proved to strengthen the relationship between learning and memory, as well as being applicable to various test formats. The purpose of this study was to investigate whether test based learning, in terms of learning english words leads to increased performance in a reading comprehension test, more specifically a cloze test. The study was based on a within-group design and was conducted three times over four weeks.

This study means to research the importance and significance of the social and informal learning opportunities offered at a workplace. With Wenger?s theory about social learning and communities of practice as a starting point, this study will create understanding about how teachers at a school comprehend their opportunities for learning within the teacher community. The study is conducted at an independent school in Sweden, and is based on interviews with eight of the teachers employed at the school. The purpose of the study was to research how employees perceive how their social interactions with their colleagues can create learning, and what obstacles they might face along the way.

In this paper you can read about students? opinion of teaching in mathematics. The study is done with eight students that were interviewed. The study is based on 16 questions about mathematic teaching. The questions covered student participation, how teachers should be, if they think mathematics is important, which approach to take in lessons and how student best learn.

The purpose of the study was to find out how teachers in a school in Kenya conducted the education of mathematics in standard 4-6. The focus was how the teachers worked with children in need of special support in mathematics.To find out the purpose a case study was made with two interviews and seven observations with four teachers on a rural school in Kenya. The following issues were: Which standards were there in the classrooms during lessons in mathematics in Kenya? How did the teachers express the view of children in need of special support? The main conclusion was that different teachers teaching in mathematics looked the same.The teacher was standing in front of the blackboard where the teaching occurred and the pupils were sitting lined up in their benches. The teaching of the pupils was about repetition and imitates the teacher and mostly filling the gap that the teacher made them say.

Verifiering med hjälp av dator av två oberoende formler för beräkning av antalet lösningar för linjära kongruenssystem med två eller tre obekanta..

 ABSTRACTThis master thesis defines a new concept ? Math Videos on the Net. The term refers to short,educational videos of mathematics that are freely available on the internet. The videos aredesigned to offer a complement to other course material for a specific element of a specific mathcourse and are directed to the target group of students studying the latter. Within this work, MathVideos on the Net have been created for the Swedish upper secondary school courses Matematik1b and 1c.The study aims to describe, analyze and interpret whether, and if so, how Math Videos on theNet can help support the work of teachers and students? development of knowledge in the firstmathematics course of the Swedish upper secondary school.

Background: Learning is important for companies? existence in today?s society and many studies discuss the importance of life long learning and learning organizations. An increased understanding for how the individual learn at the work place is importance to study to gain an accepting for how learning occurs, both formal and informal. Purpose: The purpose with this study is to describe the process of learning at the work place from an individual perspective, with focus on how formal and informal learning occur and interact. The purpose is also to confirm, contradict or develop existing theories.