The purpose of this study was to find out what the educators view on the working method Matte på burk in preschool looked like. I also wanted to find out what the educators thought about the working method. My questions are:How does the educators in preschool experience the method Matte på burk?What do the educators in preschool believe that Matte på burk can give the children?The study was carried out through a qualitative interview study with six educators. During the interviews with the educators it became apparent that the method not only focused on mathematical exercises.

This study is part of an international project, The Third Wave Project. The project aims to conductstudies with students of different cultures to see what they value as important in mathematics andmathematics learning. Part of the project involves carrying out a survey, the WIFI study. The WiFistudyaims to examine values of mathematics teaching that may affect student learning. The valuesthat are examined in this study are based on the mathematical values which are described by Bishop(1991).

This paper describes a factor analysis applied at the data of the European Union structural indicators. These are the official indicators for wealth and economic development in the European Union with main use to evaluate the outcomes of the year 2000 Lisbon goals for making the European Union the world?s strongest economy by 2010. The purpose of the data is to serve for comparing and ?learning by doing?-policies, but have, due to size and format, so far been hard to use for a good compare between member countries.

Mathematics in preschool - how do preschool teachers make children aware of the matematics around them?.

Not all payments that an employee receives are cash salary, but may also be salary benefits. It should not matter in which form an employee receives payment, taxation shall be equal despite the form of salary. Cash salary as well as salary in benefits are covered by a general rule in the Swedish Tax Law and shall therefore be taxed when they have a connection to the work performed. There are exemptions to the general rule as some benefits are tax free. In general, taxation shall be easy to foresee.   The legal rules that are treated in this thesis have a general meaning.

We derive the equation linking the Weyl tensor with its Lanczos potential, called the Weyl-Lanczos equation, in 1+3 covariant formalism for perfect fluid Bianchi type I spacetime and find an explicit expression for a Lanczos potential of the Weyl tensor in these spacetimes. To achieve this, we first need to derive the covariant decomposition of the Lanczos potential in this formalism. We also study an example by Novello and Velloso and derive their Lanczos potential in shear-free, irrotational perfect fluid spacetimes from a particular ansatz in 1+3 covariant formalism. The existence of the Lanczos potential is in some ways analogous to the vector potential in electromagnetic theory. Therefore, we also derive the electromagnetic potential equation in 1+3 covariant formalism for a general spacetime.

Mot bakgrunden att matematikresultaten sjunker i svensk skola är det viktigt att lärare använder metoder som bygger på evidensbaserad forskning. Denna systematiska litteraturstudie syftar till att bilda en djupare förståelse för utomhusmatematik genom att undersöka lärares och elevers attityder till metoden, samt om utomhusmatematik finner vetenskapligt stöd och kan rekommenderas som undervisningsmetod.Studiens resultat visar att både elever och lärare överlag ser positivt på utomhusmatematik då metoden bidrar till ett autentiskt lärande. Många lärares uppfattningar är att utomhusmatematik gynnar de yngre eleverna och att geometri och statistik är de delar av matematiken som är lämpligast att ta med utomhus. Utomhusmatematik motsäger kursmålen i alla länder där forskning på temat genomförts och metoden har svagt vetenskapligt stöd, då för få evidensbaserade studier på området utförts..

In many biomedical contexts, e. g. when evaluating hearing disorders, the data obtained can be described as pairs (x1, y1), ?, (xn, yn) where x is a quantitative variable and y a 0/1 variable whose probability of taking the value 1 is a monotonic function of x. One way of analysing such data is to perform probit regression; thereby two parameters, b0 (= the constant) and b1 (= the slope) are estimated; the interest centres around m = -b0/b1, i.

Syftet med detta examensarbete är att undersöka undervisning och lärande under en matematiklektion som präglas av traditionell skolmatematik. Metoden för undersökningen var en deltagande observation av en matematiklektion i åk 3 på gymnasiet. Med hjälp av begreppen matematikens lärandeobjekt, matematiska resurser, eleven som lärande aktör och sociomatematiska normer har jag tolkat de resultat som genererats från observationen. Två slutsatser som kan dras av undersökningen är att eleverna stimuleras till att bli oberoende lärande aktörer i undervisningen av traditionell skolmatematik samt att det i första hand är läraren som synliggör potentiella matematiska resurser för eleverna. Medvetenheten om elevernas användande av matematiska resurser skulle kunna påverka elevernas lärande genom att läraren synliggör matematiska resurser på ett mer medvetet sätt..

The aim is to examine how students with attention difficulties may demonstrate their mathematical understanding through visual representations. A curiosity about how students think about mathematics, national tests and Concepts cartoons has also permeated the study. With help of observations combined with interviews and actively work for a week, the study shows an idea of how visual representations can help students with concentration difficulties to stay focused on their tasks. I chose a selection of pupils to do some mathematical tasks from the national tests which they had not been able to solve before. Now in the form of Concepts cartoons, which I designed, they managed to solve the same mathematics data. In my study treatment and interaction reveals as key pillars for a successful educational work with the students with concentration difficulties. Thus, all pupils who previously have been unable to solve these assignments on the National test were now able to show their mathematical understanding supported by visual representations..

The point of interest in this study is to identify whether ethnicity is a correlating factor regarding Hungarian immigrants? development of identity in Sweden. The general aim is to increase knowledge and understanding of the conditions for the Hungarian ethnical group in Sweden to reach self-realization. The main question is whether the general view of the background of this ethnical group has a connection to their self-realization in Sweden? Since the study involves a whole group of minority, a limitation has been made to adults living in the city of Halmstad, Sweden.

The aim of this essay is to examine why and how three teachers who work in elementary classes choose to use ability grouping during math lessons and what they think of ability grouping as a method to individualize the activities according to the pupil?s needs.I chose one main question for this study that is the following:What is the teacher?s point of view and experience of ability grouping in teaching mathematics?And three sub-questions:What are the motives behind the choice of ability grouping?What are the advantages of ability grouping?What are the disadvantages of ability grouping?In order to be able to answer my questions, I used the qualitative method. I interviewed three teachers who work in the elementary classes (First to fifth grade) to find out what they think about ability grouping and how it is experienced in mathematic teaching.The result shows that the common thing between these three teachers is that they don?t use ability grouping as the only teaching method. They all agree that the whole class teaching has many benefits for the pupils.

The aim of this study was to investigate what formative assessment means and get information about how teachers? assessment practice in formative assessment can look like, based on five key strategies. I have observed five teachers in grade 4 to 6 during a week of their mathematics teaching. Formative assessment is assessment for learning and has the purpose to support students? knowledge development.

Syftet med undersökningen är att få en uppfattning om vilka matematiska aktiviteter som genomförs och kan genomföras under sångstunder på förskolor i Sverige och om de genomförs på ett sätt så att barnen arbetar mot målen i läroplanen. Detta eftersom mycket forskning tyder på att mycket matematikinlärning kan ske under sångstunder/musiklektioner. Teori och forskning säger att musik kan utveckla matematiken hos barn på många olika sätt. Min metod var att observera en sångstund på tre förskolor i en kommun och därefter intervjua förskollärarna som höll i sångstunderna. Resultatet visade att lärarna använde en hel del matematik under sångstunderna som det är, några mer medvetna om det än andra. Det visades även att pedagogerna anser att matematiken passar bra ihop med musik. Jag kan se vilka matematiska och musikaliska aktiviteter som genomfördes. Min önskan är att pedagoger ska ge barnen mycket matematikkunskaper under en sångstund.

The aim of this thesis is to look for signs of students? understanding of algebra by studying how they make the transition from arithmetic to algebra. Students in an Upper Secondary class on the Natural Science program and Science and Technology program were given a questionnaire with a number of algebraic problems of different levels of difficulty. Especially important for the study was that students leave comments and explanations of how they solved the problems. According to earlier research, transitions are the most critical steps in problem solving.