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.

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).

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.

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.