This study examines if the prediction of cardiovascular disease in hypertensive patients can be improved upon when renal function and microalbuminuria are added to the classical risk factors The predictive capability of a model is measured by discrimination, calibration, reclassification and Harrell's C.The results are ambigious. In most cases, microalbuminuria should be included in the model, but the results regarding the other measures of renal function are varied. Therefore, the selection of risk factors to include in the model depends on which measure of prediction one prioritizes..

One of the purposes of this work was to find out what it means to have a conceptual understanding of geometry. It describes how the geometry evolved from history and the geometry that is taught in grade one to nine and collage. The area examined was based on fundamental geometric objects for example two- and three- dimensional objects and its characteristics and especially focusing on the areas of perimeter, area and volume. The literature- review showed that the conceptual understanding was primary to developing a good knowledge of geometry. The second purpose of his study examined whether pupils achieved the goals in geometry by working with a Mathematics Book.

This project has aim to examine how students experience their concentration ability during mathematics lessons in the mornings and afternoons, and how students? learning can be in-fluenced by the concentration ability during mathematics lesson in the morning and after-noons respectively? Which role do the methods of learning play in mathematic depending on which time it is carried out during mornings or afternoons with regard to student concentra-tion ability? In order to find out those issues, I used two methods; (interview and observa-tion).Interview with 4 students and 3 teachers and observations of 4 mathematics lessons based on a qualitative method. In order to measure students' concentration ability during ma-thematics education on various times, I distributed questions to 23 students and repeated it during each lesson that I have observed from a quantitative approach in two classes in a sec-ondary school. In the literature I discuss the definition of concentration, and factors affecting the concentration negatively and positively. What is the relationship between concentration, learning and type of activity and how individuals can improve their learning and attention? In addition I studied two earlier studies on the concentration.

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.

Mathematics is a central topic in today?s society. There are many different approaches each teacher has their own way. In this essay, I compare four teachers? mathematics teaching in two different countries with regard to ways of learning, particularly in the four operations.

The purspose of this study is to investigate how teachers are working to individualize mathemathics education relative to high-performing students and how they define the therm individualization. According to the Swedish curriculum the teaching process should be based on the students prevoius knowledge and experiences. The teachers should in their preperation take every student in to consideration. To be able to investigate these subjets I prepared following questions:What does the concept of individualization in mathematics mean for the teachers?What does it mean to work with an individualized mathematics teaching?How does teachers individualizes teaching mathematics relative to high performing students?This study is based on a qualitative method with both interviews and observations.

Syftet med denna studie var att ta reda på elevers uppfattningar om laborativt material i matematikundervisningen. Även hur liknande form av undersökning kunde gynna läraren till att få reda på vilken typ av undervisning som eleverna föredrar. Motivationen som låg till grund för studien var erfarenheter utifrån VFU (verksamhetsförlagd utbildning) samt erfarenheter av forskningslitteratur. En stor del av forskningen har påvisat att elever som arbetar med laborativt material i matematik presterar bättre än elever som inte arbetar med laborativt material. Därför förespråkar forskningslitteraturen inom detta område att lärare borde arbeta med laborativt material under alla åren i skolan.

The purpose of this study has been to compare the present with the future syllabus of mathematics. With a text analytical approach has questions about how the structure is different, how the look at knowledge has changed and which learning theory that characterizes the two syllabus been answered. As a theoretical framework I adopt three different learning theories, behaviourism, cognitivism and the socio-cultural perspective. The pervious research I have looked at is the concept of knowledge an the underlying theories to previous curriculum. During the increase results in the greatest difference seen in the structure.

Det verkar råda stor konsensus om att matematikundervisningen är viktig för att Sverige skall kunna hävda sig och kunna konkurrera i en global värld. Samtidigt visar det sig att eleverna i allt större utsträckning har svårt att nå målen för undervisningen. En undervisning, som forskningen visar, är hårt styrd av den matematikbok som används.I Finland har det visat sig att vilken lärobok som används i undervisningen får statistiskt signifikanta konsekvenser för elevernas resultat. I uppsatsen undersöks om samma statistiskt signifikanta samband även föreligger i Sverige. 149 skolor omfattande 13 408 elever ingår i den statistiska kvantitativa studien.

Studien syftar till att beskriva hur lärare i matematik upplever att de praktiskt hanterar elevers olika förutsättningar i sin matematikundervisning. Undersökningen genomfördes som en fallstudie av två lärare i matematik i grundskolans senare år. Det empiriska materialet består av fyra klassrumsobservationer, som analyserades för att identifiera olika typer av individualisering, samt fyra intervjuer, för att belysa lärarnas upplevelser av och tankar kring individualisering. Det framkom att det förekommer flera olika typer av individualisering. En del individualisering var ett resultat av lärarens medvetna val, men det förekom även individualisering som lärarna delvis var omedvetna om..

Studies show that the performance of Swedish students in the subject of mathematics is to be considered somewhat average. The government has therefore decided to assist with extended project funding to schools on a local level in order to improve these results.Schools will, unlike before, practice teaching suited for the individual needs of students based on their previous experiences, knowledge level, language comprehension and their environment. This is also clearly stated in the Swedish school curriculum.My survey shows how three teachers in primary school actually work towards individualized teaching of mathematics and what methods they prefer. This survey also answered what these teachers considered to be the obstacles and opportunities with individualized teaching methods. The difference in approach of how to practice this has also been documented.The survey, based on interviews and class observations, have been analyzed and compared to previous research and theories in the field of teaching practices.

 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.

The objective of this study is to investigate a new pedagogical material called 4DFrame, how it is experienced by informants and how suitable it is in education - in particular mathematics. Socioculturalperspective has a central role in this study when students are given opportunities for linguistic and social interaction during the experiment with the new pedagogical material. The methodology for this study has been visits, interviews, and observations. The study reveals that there are different views on the didactic potential for mathematics of the new teaching material, though no conclusions can be drawn regarding whether this material is more or less suitable in teaching since no research have been found that compares this with other pedagogical materials. Both national and international studies show the need to find alternative and better ways to make mathematic education meaningful.

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.