The question how teaching should be organized in order to give the students the help and support they need to reach their goals is always of vital interest. All students are unique individuals with different prerequisities, possibilities and needs. Streaming in mathematics could be one solution.The first week at upper secondary school a diagnostic test is carried through. Thereafter, the result is used as a basis for dividing the classes into different teaching groups. Thus, the groups working with mathematics become more homogeneous and the students? previous knowledge is approximately at the same level.

I detta 10-poängsarbete går jag igenom hur min egenhändigt producerade kvadratrotsalgoritm fungerar praktiskt och teoretiskt. Med denna algoritm kan man för hand räkna ut kvadratrötter som innehåller 50-60 värdesiffror. Med de tidigare kända algoritmerna för kvadratrötter kan man räkna ut 5-6 värdesiffror. Min algoritm fungerar inte på samma sätt som de tidigare använda kvadratrotsalgoritmerna men den är lika korrekt. Stor tyngdvikt i arbetet har därför lagts på att visa på att det finns flera olika korrekta algoritmer för våra vanliga räknesätt.

This study compares the sample variance of the mean in a simple random sample (SRS) and a systematic sample from a surface. The study also compares the prediction error variance in a SRS and systematic sample from a random field. Recommendations are presented on which method to use in the clearance and exemption process in the nuclear industry. The results indicate that quadratic systematic sampling outperformed SRS in most instances and proved to be especially efficient in the presence of a long-ranged covariance function and high sampling intensity (i.e. short distances between observations).

Denna essä kan läsas som en reflektion över tre års arbete med och utveckling av estetiska lärprocesser pa? lärarutbildningen. Även om exemplen är hämtade från matematikdidaktiken rör sig diskussionen huvudsakligen på en mer generell nivå än detta specifika ämne. På många sätt handlar essän lika mycket om lärande i allmänhet som om matematikdidaktik.Utifrån den fenomenologiska undersökningen rör sig diskussionen mellan mina personliga erfarenheter och den filosofiska teorin. Jag använder mig av tankar från Aristoteles, Hans-­?Georg Gadamer och John Dewey och låter dem möta några av de svenska forskare som under de senaste åren bidragit till det aktuella fältet eller till angränsande fält.Jag hoppas i denna essä kunna synliggo?ra olika aspekter av erfarenhetsbaserad undervisning och lärande likväl som de problem och möjligheter som finns i fenomenet estetiska lärprocesser ? förhoppningsvis kan mina iakttagelser och reflektioner vara av värde vid en utveckling av såväl matematikdidaktiken som av andra ämnen på lärarutbildningen .

This survey is a theoretical analysis concerning didactics of literature, in which I problematize what Martha C. Nussbaum describes as ?narrative imagination?. By using postcolonial theory, more specific: Gayatri Spivaks essay ?Can the Subaltern Speak?? and her theoretical formula ?a leap into the other?s sea?, I try to answer the following question: Can ?narrative imagination? be understood as a manifistation or concretisation of ?a leap into the other?s sea??The answer that is given concerning my general question is simply: No.

Syftet med denna rapport är att utreda vad matematik- respektive karaktärsämneslärare på yrkesprogrammen på gymnasiet anser att det finns för för- respektive nackdelar med en ämnesintegrering mellan deras ämnen. Med hjälp av en enkät har de två grupperna fått delge sina för- och nackdelar samt i vilken utsträckning de tillämpar en sådan ämnesintegrering. Enkäten användes också som underlag för en intervju som låg till grund för en beskrivning av hur ett ämnesintegrerat arbete kan gå till. Majoriteten av lärarna var positiva till att ämnesintegrera och ansåg att de tillämpade en sådan undervisning men endast ett fåtal samarbetade med sina kollegor över ämnesgränserna..

This work is about how teachers describe their work with mathematics in a traditional nursery school and a Montessori preschool. Another aim is to study how children mathematise on the two different preschools and to see if there are any differences between the various educational theories and practices mathematising. I have used two methods wich is interviews with preschool teachers, and observation of the children. The results of my study was that differences exist but the biggest difference is the material that Montessori uses. The difference between the teachers' way of teaching mathematics is to Montessori preschool places great emphasis on the material and how it is used, while in the traditional preschool puts the emphasis on learning through interaction with others.

The aim of this study is to fill the gap in mathematics education research concerning the relationship between identity and positioning in mathematical collaboration in groups. This study elaborates on the relationship between how pupils see themselves as math students in sixth grade, how they show their identities as math students, in contrast to how they position themselves reflexively in group collaboration while engaging in mathematical problem solving. The theoretical concepts linked to this study are discourse, identity and positioning. Discourse is used to describe and form the setting and context of the study. Identity is seen as a transient and elusive concept formed by the students own perceptions of self through narratives.

By studying literature concerning design, didactics and reflection, and complementing those explorations with interviews with experienced design educators, this thesis challenges the idea of aesthetic media education being purely aesthetic in its characteristics. Drawing from their own experiences as a media aesthetics educator and an industrial designer, the two authors argue that the work flow used within most fields of design, commonly known as the design process, might provide a suitable didactic alternative to a field of education lacking relevant methodology. The literature study offers a better understanding of the design process and how it may be defined and viewed within an educational context. The interviews provide a more practical insight into the world of design education. The result shows that the design process as a didactical method theoretically offers both elements of critical thinking as well as direction and frames for students lacking aesthetic and artistic experience.

This study is about the above-average pupils? situation in schools and how teachers work to encourage and motivate these pupils' development in mathematics. The purpose of this study is to find out how a group of teachers work with above-average pupils in mathematics. The study addresses previous research on these students' school situation and how teachers should work with them. There have been unstructured interviews with a number of educators to get a personal insight into how they work with above-average pupils.

We have done a qualitative and quantitative study about math problems on second­ary school students. The study is based on the diagnosis, treatment and training of teachers, about students who have math difficulties. The aim of this work is to obtain teachers ?perceptions about students? diagnosis, treatment / improvement and continuing education for students who have math difficulties. By having interviewed various teachers through surveys we have received answers to their concerns about the diagnosis, treatment and the importance of continuous training of teachers on students? mathematics difficulties.

Aim: The study aims to investigate the distribution of grades between students in a practical subject and in a theoretical subject.The problem:What is the grade distribution in physical education and mathematics, with respect to gender, socioeconomic background, parental education, ethnicity, and physical activity?Method:To answer the aim of the study a quantitative method was chosen. As the collection method used was questionnaires to 620 students in the 9th grade in Stockholm. Of the 620 questionnaires, 597 questionnaires were used for the static analysis. The method of analysis used cross tables and logistic regression analysis.

Transition to Non-Compulsory EducationScrutinizing flaws in Students? knowledge in Mathematics.

AbstractBy finding out the pupils' choice of strategies for problem solving, we as teachers, can get a better understanding of their way of thinking, and thus also help them develop in their learning of mathematics. In a classroom environment where several different strategies could be found, the pupils' learning is facilitated as they, with the help of classmates, find positive and negative attributes of different kinds of strategies. The pupils are, in other words, each other's resources, rather than competitors. The main point is that the classroom environment, as well as the role of the teacher in the classroom, are both key elements for good mathematics learning.In order to increase the understanding of the pupils' choice of learning strategies, a survey was performed based on two school classes, one third grade and one six grade class at the same school. Both classes received the same mathematical problem to work with, and the strategies observed were analyzed and compared.

We have done a qualitative and quantitative study about math problems on second­ary school students. The study is based on the diagnosis, treatment and training of teachers, about students who have math difficulties. The aim of this work is to obtain teachers ?perceptions about students? diagnosis, treatment / improvement and continuing education for students who have math difficulties. By having interviewed various teachers through surveys we have received answers to their concerns about the diagnosis, treatment and the importance of continuous training of teachers on students? mathematics difficulties.