The aim of this Master of Science Thesis is to develop guidelines and improvementsuggestions of RiNOVA Traffic AB?s dynamic speed bump. The project started with athorough pre study of the design and its function to find out how passing vehiclesaffects the dynamic speed bump. The majority part of the pre study was to createnecessary mathematical models to explain the arisen forces and strains.The results of the mathematical models gave necessary information about the designregarding weaknesses and flaws. The most critical ones where those which interferedwith the design?s performance and reliability, and therefore needed to be corrected.These problems where more thorough analysed and discussed with experts before thefinal guidelines and improvement suggestions where developed.The parts of the design that had to be redesigned were the extension springs and thebearing that enables the dynamic properties.

This survey is a case study with the purpose to find out the teacher´s perceptions about students´ motivation to mathematics. Further this study aims for the teacher´s vision on how they consider students´ motivation in mathematics in secondary school. To collect research data I have used semi structured interviews with four secondary school teachers. The result constructs according to categories that depict the purpose of the study. These categories define students? motivation like achieving different goals, students? basic knowledge, abilities and perceptions of mathematics and external factors that affect students? motivation.

The aim of my study is to investigate how last year students in upper secondary schoolunderstand certain mathematical concepts, in particular the unit circle and its trigonometry.I have used intentional analysis to interpret student?s actions when they solve certain tasks onthe basis of a cognitive, situated and cultural context.Interviews with four university teachers in mathematics about the unit circle, trigonometry,and mathematical understanding, serve both as background for the study and as basis for adiscussion, where I relate students understanding to what the teachers want new students toknow about these concepts when they begin university studies in mathematics.The students were arranged in three groups with three students in each group. Each group waspresented with two tasks, one in which they were asked to calculate the cosine values for onepointed, one blunt and one straight angle, each located in a separate triangle. They were alsoasked to decide whether the points (0,71; 0,71) and d (1 2 , 3 2 ) are located on the unit circleor not.My conclusion is that students mainly have an operational conception of the unit circle andtrigonometry. The lack of structural conceptions result in difficulties in seeing connectionsbetween the concepts in unfamiliar situations.

The aim of my study is to investigate how last year students in upper secondary schoolunderstand certain mathematical concepts, in particular the unit circle and its trigonometry.I have used intentional analysis to interpret student?s actions when they solve certain tasks onthe basis of a cognitive, situated and cultural context.Interviews with four university teachers in mathematics about the unit circle, trigonometry,and mathematical understanding, serve both as background for the study and as basis for adiscussion, where I relate students understanding to what the teachers want new students toknow about these concepts when they begin university studies in mathematics.The students were arranged in three groups with three students in each group. Each group waspresented with two tasks, one in which they were asked to calculate the cosine values for onepointed, one blunt and one straight angle, each located in a separate triangle. They were alsoasked to decide whether the points (0,71; 0,71) and d (1 2 , 3 2 ) are located on the unit circleor not.My conclusion is that students mainly have an operational conception of the unit circle andtrigonometry. The lack of structural conceptions result in difficulties in seeing connectionsbetween the concepts in unfamiliar situations.

The aim of my study is to investigate how last year students in upper secondary schoolunderstand certain mathematical concepts, in particular the unit circle and its trigonometry.I have used intentional analysis to interpret student?s actions when they solve certain tasks onthe basis of a cognitive, situated and cultural context.Interviews with four university teachers in mathematics about the unit circle, trigonometry,and mathematical understanding, serve both as background for the study and as basis for adiscussion, where I relate students understanding to what the teachers want new students toknow about these concepts when they begin university studies in mathematics.The students were arranged in three groups with three students in each group. Each group waspresented with two tasks, one in which they were asked to calculate the cosine values for onepointed, one blunt and one straight angle, each located in a separate triangle. They were alsoasked to decide whether the points (0,71; 0,71) and d (1 2 , 3 2 ) are located on the unit circleor not.My conclusion is that students mainly have an operational conception of the unit circle andtrigonometry. The lack of structural conceptions result in difficulties in seeing connectionsbetween the concepts in unfamiliar situations.

Then the language learning process and the approach in a preparatory class differs itself from a general class. The methods conducted in a preparatory class are not just focused on teaching as in a more traditional method. Achieving the objectives in a preparatory class depends on the individual student and the cohesion in the group. Students have different backgrounds and knowledge level, therefore it is extremely important that the teachers use different work methods in order to achieve and to promote the students' language development. The aim with this survey is to get the knowledge about what education methods is being used by teachers in a preparatory class.

Lärare planerar undervisning och väljer vad eleverna ska arbeta med. Denna studie syftar till att undersöka lärares tankar om vilket matematiskt innehåll elever möter samt vilka förmågor elever tränar i arbetet med en uppgift i matematik. Studien genomfördes genom intervjuer med fem lärare som fick svara på frågor kring en uppgift i matematik. De övergripande frågorna handlade om matematiskt innehåll och förmågor, men även uppgiftens koppling till Lgr11 efterfrågades. Lärarnas svar kopplades till de specifika kunskaper som behövs för att undervisa i matematik.Studien visade att lärarna i hög utsträckning sorterade in uppgiften inom området kombinatorik och att de framförallt såg uppgiften som en problemlösningsuppgift.

Objective: The aim of the study is to describe pupils' understanding of the mathematical concept of function. How do pupils define the concept of function? What images of the concept of function evoke when they solve tasks, which involve identifying and constructing functions?Theory: A student's thinking about a mathematical concept depends on more than just the formal definition of the concept; therefore Tall and Vinner introduce the term concept image to describe the role cognitive structures play when students learn about concepts. The cognitive structure includes all mental images, associated properties and processes that an individual associates with a given concept. According to Sfard, an individual's understanding of mathematical concepts may have different character: an operational conception, where a concept is conceived as a process and a structural conception, where the given concept is conceived as an object, that is, as a whole.Method: 16 pupils at the Science Program at two different upper secondary schools inSweden answered a questionnaire on the mathematical concept of function.

In several scientific and technical educations today we meet mathematical studies in differential- and integral calculus. The classic mechanics is a foundation for the physics and it has made it possible for today's technical developments that we in our everyday life meet and make use of. The intention for this essay is to give a picture of the person behind this discoveries that changed the science and the world. Besides the purpose to bring the reader on a journey through Isaac Newton's life the main intention is to give an understanding of the way he discovered the binomial theorem, the differential- and integral calculus, the numerical methods Newton-Raphson's and Newton's interpolation-polynomial, Newtons identities and his classification of third-degree curves and elliptic curves. A derivation of Kepler's first law is also included..

This study where designed to investigate if there are any positive relationship between the extent of physical activity during adolescent's leisure time and the academic performance, and also if there are any negative relationship between the academic performance and the time spent in front of the television or computers. Another part of the study tried to find out if physical activity has a direct and immediate influence on the performance in school. 91 pupils (51 girls and 40 boys) in the 8:th year of the Swedish primary school, from three different schools participated in the study. All 91 pupils first responded to a questionnaire concerning there activities in leisure time. They where then tested in a mathematical test and the results where compared with the extent of physical activity and TV/computer time they had stated in the questionnaire.

Most of my 16 students show a negative attitude towards mathematics and have difficulty understanding why they need mathematics to work as cooks. Their lack of knowledge has a negative effect on their work in the kitchen because they cannot master relatively simple mathematical solutions. The purpose of this study is to examine if an integrated working method of the subjects mathematics and cooking can change students? attitude towards mathematics and increase their understanding of the value of it in restaurant work. An integrated working method means to integrate the core subjects with programme specific subjects and that teaching is directed towards the main features of the vocational programme in order to create a holistic view.A theory of action research has been applied in this study, aiming to change something perceived as problematic through combining theory and practice in the cooking subject.

Today, many veterinary hospitals offer rehabilitation as a service. We think that this is an interesting subject and therefore we want to find out what rehabilitation methods that are available in Sweden for dogs and horses. We want to give animal nurses and other persons who have animals as an occupation an survey that shortly describes how the methods are performed, what physical effect they have in the body and to give examples in what conditions they are used. To find out what rehabilitation methods that are available we sent out two different questionnaires, one to hospitals/clinics for small animals and one to hospitals/clinics for horses and other companies that works with rehabilitation of horses. The information about the methods described in our project we have found in literature and on the Internet.

This report is a qualitative study on children aged three to five years who are in the Swedish preschool. The purpose of the study is to investigate how five experienced preschool teachers view the way children between three and five years acquire basic mathematical concepts, basic numeracy and geometry. The aim is also to find out whether teachers feel that the size of the group of children affects their learning.The study contains information about what preschool teachers think about the way children learn mathematics and how the size of the group of children affects this learning. From the results it can be seen that children learn Mathematics, both in everyday situations and when playing. Moreover, the group size does not seem to affect the mathematical learning of the child.

Then the language learning process and the approach in a preparatory class differs itself from a general class. The methods conducted in a preparatory class are not just focused on teaching as in a more traditional method. Achieving the objectives in a preparatory class depends on the individual student and the cohesion in the group. Students have different backgrounds and knowledge level, therefore it is extremely important that the teachers use different work methods in order to achieve and to promote the students' language development. The aim with this survey is to get the knowledge about what education methods is being used by teachers in a preparatory class.

The overall aim of this study is to achieve the increased knowledge of the use of the counselling methods in the student counsellors' work and to find the possibilities for development. Two questions are used as guidelines:Which counselling methods do student counsellors use in their work in schools?How can the current education for the student counsellors be supplemented?The analysis of the interviews with six counsellors in Stockholm's administrative province showed that even uneducated counsellors use the same counselling methods as the educated ones. All these methods which are used remind of the known counselling methods that are the part of the current education for the student counsellors.In general counsellors experienced that the education for the counsellors should be supplemented within the field children with special needs and that conversation's methodology is the essence of the counselling work..