AbstractThe aim of this essay is to look into how teachers view pupils who use finger Arithmeticduring mathematic classes. How do these teachers help them to move on with their learning,what information and problem-solving material do they use?I made qualitative interviews with grade two- and grade three teachers, in three schools.The interviews showed that the teachers find it difficult to adopt a suitable attitude towardsfinger Arithmetic. In addition, lack of time for planning and lack of knowledge about variousexperimental methods caused further predicaments. The teachers were aware that Arithmeticexperimental material was attainable at the schools, but time to learn about it and how to useit was lacking.

Reading difficulties is the most common learning difficulty in the western world and it is common that people with reading disabilities also exhibit Arithmetic difficulties. Different theories about the cause of the relationship exists, one theory describes the importance of good phonological ability in reading as well as in Arithmetic, while another theory describes the importance of a reliable number system and that only a subgroup of students with reading disabilities also have difficulties with Arithmetic. The purpose of this study is to investigate how students with reading difficulties (RD), without any known mathematical difficulties, perform on mathematical tasks relative to a control group. The study was theoretically grounded on the Triple code model (Dehaene, 1992), which is a model for numerical information processing that describes how various numerical and Arithmetic tasks are processed through three distinct representation systems in the brain, a verbal and a visual representation system and a quantity system. Reading skills, phonological skills, Arithmetic skills and number processing skills were examined in 61 students through a variety of tests.

It is not uncommon for math difficulties and reading difficulties to occur simultaneously. Despite this, math and reading difficulties are thought to have different cognitive profiles where math difficulties are linked to number sense; an innate ability to understand, approximate and manipulate both quantities and numerical information, whereas reading difficulties are linked to phonological ability; an innate ability to understand, create representations of and manipulate phonological information. A possible link between the difficulties is that phonological abilities also could affect mathematical ability. Support for this comes from studies where comorbid math and reading difficulties are associated with more severe difficulties in Arithmetic ability compared to those with isolated math difficulties. The purpose of this study is to examine whether isolated math difficulties, isolated reading difficulties and comorbid math and reading difficulties can be linked to deficits in number sense, phonological ability or both of these, and whether comorbid math and reading difficulties differ in performance in mathematical tasks compared to isolated math difficulties for children in second grade.

It is not uncommon for math difficulties and reading difficulties to occur simultaneously. Despite this, math and reading difficulties are thought to have different cognitive profiles where math difficulties are linked to number sense; an innate ability to understand, approximate and manipulate both quantities and numerical information, whereas reading difficulties are linked to phonological ability; an innate ability to understand, create representations of and manipulate phonological information. A possible link between the difficulties is that phonological abilities also could affect mathematical ability. Support for this comes from studies where comorbid math and reading difficulties are associated with more severe difficulties in Arithmetic ability compared to those with isolated math difficulties. The purpose of this study is to examine whether isolated math difficulties, isolated reading difficulties and comorbid math and reading difficulties can be linked to deficits in number sense, phonological ability or both of these, and whether comorbid math and reading difficulties differ in performance in mathematical tasks compared to isolated math difficulties for children in second grade.

Visual Type Instrument - VTI, is a tool containing a typeface and a set of geometric calculations that generates numerical data in spreadsheets. The data is determined from the typefaces visual dimensions and is used to calculate leading, type size, margins and format. The aim is to offer, for all of those working with typography and design, a practical way to manage text, image and format in relationship to visual size. Instead of using point measurements, VTI uses a new device called Edo. An Edo is the same as one twelfth of a millimetre.

Abstract CORDIC (Coordinate Rotation Digital Computer) is an iterative algorithm for the calculation of a two-dimensional vector in circular, linear or hyperbolic coordinate systems. This paper presents a survey of known CORDIC algorithms and architectures for the rotation and vectoring mode in the circular cordinate system. In addition an implementation of the differential CORDIC algorithm in VHDL has been done. The implementation is designed to keep the fast timing and throughput characteristic known for on-line redundant Arithmetic..

IDCT (Inverse Discrete Cosine Transform) is a common algorithm being used with image and sound decompression. The algorithm is a Fourier related transform which can occur in many different types like, one-dimensional, two-dimensional, three-dimensional and many more.The goal with this thesis is to create a fast and low effect version of two-dimensional IDCT algorithm, where techniques as multiple-constant multiplication and subexpression sharing plus bit-serial and bit-parallel Arithmetic are used.The result is a hardware implementation with power consumption at 19,56 mW..

The aim of this thesis project is to produce an algorithm for finding a topologicalrepresentation of a polygon, called a straight skeleton, using floating pointArithmetic. Various straight skeleton algorithms are examined and discussed witha focus on time complexity and one is chosen for implementation. This implementationis then compared with the open source library CGAL with regards torunning time. The result is an algorithm which is based on an algorithm by Felkeland Obdrzalek and which, for polygons with more than five thousand vertices andthree significant digits representing points, runs around 25% faster than CGALsimplementation. Complications regarding the use of floating-point Arithmetic arealso discussed..

The reason I am writing this essay is due to my curiosity on how children are interested in and how their understanding in geometry is at preschool years.My interest lies in children and Arithmetic and especially geometry, which is something I belive that children deal with a great deal in their everyday routines, both in school and at home.What do children do when they work with geometry, and are they aware of what they do? To figure this out, I have taken my findings from three different interviews that I have done atmy preschool with a group of children that have been preselected.I am also curious about whether there is a difference in different types of schools. In this essay I have compared the preschool I work with a Montessori school and a third type of schoolwhere the children spends most of their day´s outdoors called ?Ur och Skur?In my results I can not see any major differences in these three preschools work with mathematics. The childrens knowledge is at a similar level and the work with geometry hasbeen implemented in a similar way..

The reason I am writing this essay is due to my curiosity on how children are interested in and how their understanding in geometry is at preschool years.My interest lies in children and Arithmetic and especially geometry, which is something I belive that children deal with a great deal in their everyday routines, both in school and at home.What do children do when they work with geometry, and are they aware of what they do? To figure this out, I have taken my findings from three different interviews that I have done atmy preschool with a group of children that have been preselected.I am also curious about whether there is a difference in different types of schools. In this essay I have compared the preschool I work with a Montessori school and a third type of schoolwhere the children spends most of their day´s outdoors called ?Ur och Skur?In my results I can not see any major differences in these three preschools work with mathematics. The childrens knowledge is at a similar level and the work with geometry hasbeen implemented in a similar way..

Detta examensarbete grundar sig på en undersökning gjord med elever i en 4- 6:a med 18 elever i Luleå kommun under vårterminen 2003. Syftet med arbetet var att undersöka om eleverna efter min undervisning använde sig av huvudräkningsmetoden tiotalsövergång, då de löste de centrala uppgifterna i undersökningen. Under mina litteraturstudier har jag funnit att arbetet går att förankra till såväl styrdokument som tidigare forskning. Metoden jag har använt är ett inledande test följt av ett skriftligt intervjuunderlag och muntliga intervjuer med fyra elever, på liknande sätt avslutade jag undersökningen. Däremellan fick undersökningsgruppen kontinuerlig undervisning i tiotalsövergångsmetoden.

Specialundervisning och nivågruppering i matematik har inte så stor effekt (Bentley & Bentley, 2011; Giota & Emanuelsson, 2011) och vår skollag (2010:800) gör gällande att undervisningen ska ske inom klassens ram. Med detta som utgångspunkt designades denna studie. Studien genomfördes med 21 elever i år två under nitton lektioner. Syftet var att se om intensivundervisning med hjälp av strukturerad undervisning kan ge effekt på elevernas automatisering av additions och subtraktionstabellerna inom talområde 0-20. Studien genomfördes som en experimentell design med fältexperiment och metoderna i studien var deltagande observation, fältanteckningar och diagnoser.

During my practice as a teacher trainee at an upper secondary school it became clear to me that many pupils have difficulties with algebra. Also in a report from the National Agency for Education (1999) you can see that the students algebra knowledge get worse and worse. I was surprised to find that many pupils seemed to get stuck on the level of attainment for the senior level of the nine-year compulsory school. As I have not studied anything about difficulties in algebra during my training to become a qualified teacher I would like to get to know more about this. I also examine why you have to study algebra in upper secondary school.

Purpose: The purpose of this study is to investigate how three banks country funds are performing relative to each other in regard to risk and return. And to find out if there is any underlying factor that may have affected the stock exchange in the different countries.Methodology: The study is based on secondary data and will apply the quantitative method, based on a deductive approach. The sample consists of three major Swedish banks and from them we have selected three country funds. The calculation formulas that have been applied are: Sharpe ratio, standard deviation and Arithmetic Average.Conclusion: The Writers concluded that Sweden funds had the highest yield to lowest risk in both periods in all three major banks. We have also concluded that the underlying factors affecting a country fund.

The agriculture throughout the world is becoming increasingly deregulated and this has affected the prices of raw materials to fluctuate at a higher degree than earlier. This in turn has made it interesting and in some cases even necessary for the trader as well as the producer to gain knowledge about the trade instruments available to ensure a good enough price for their produced goods. This study encompasses a number of ways to trade grain and oil plants in order to clarify what differences there are in the several contracts that exist in the present situation, economical as well as practical. The various trade instruments available to the producers on the Swedish market are described in the theoretical part of this study. The study also contains a simple Arithmetic example, based on historical prices collected from grain traders and trading floors, in order to point out the differences in the economical outcomes depending on the business strategy used to sell the produced goods. The study shows the importance, as a producer, of being able to use and take advantage of the different trading instruments at hand to monitor and exploit the shifts in the market. From an economical point of view it is not enough to just excel at farming but knowledge about the market functions and the trade instruments at hand is also required to be able to secure a good enough price for your goods.