Search results for "algebra"
showing 10 items of 4129 documents
Tidlig algebra : algebraisk tenkemåte og arbeidsmåter i en tredjeklasse- en casestudie
2011
Masteroppgave i matematikkdidaktikk- Universitetet i Agder 2011 The main theme for this thesis is early algebra. The focus is on teaching approaches and how these operate during the activities used in a third grade mathematics classroom. Particular to this classroom is the absence of textbooks, and the use of concrete manipulables. The terms early algebra and algebraic reasoning are central, and I aim to give an overview of the development of, and the background for, these terms. Further I go into arithmetic and numeral reasoning as an entry point into early algebra, and also give an in-depth description of two research articles. Confluent pedagogy and the KUL-LCM project are also part of t…
The introduction of algebra : comparative studies of textbooks in Finland, Norway, Sweden and USA
2012
Masteroppgave i matematikkdidaktikk- Universitetet i Agder, 2012 This master thesis is a comparative analysis of textbooks from four different countries, Finland, Norway, Sweden and USA (California), concerning the introduction of algebra. The topic for this research was inspired and initiated in connection with the international project VIDEOMAT, which I have been involved with since its planning phase. Following the design of this project, two mathematics textbooks of two consecutive grades from the four different countries have been analyzed. The focus in these has been the 60 first tasks presented in the algebraic chapters. The review of literature includes a look at the origins of alge…
Meningsfylte matematikkoppgaver? En casestudie fra ungdomsskoleelevers aktiviteter knyttet til algebra på en bedrift.
2015
Masteroppgave matematikkdidaktikk- Universitetet i Agder, 2015 "Meaningful mathematics tasks?" is a case study related to 9th grade in Norwegian lower secondary school that visited Returkraft, an energy recovery facility in Kristiansand. During a full day on this enterprise, they worked with tasks that were designed in connection with this study. ”Algebra på Returkraftskolen” is based on competence goals for functions and includes two student booklets, one for study preparation at school and the other for enterprise visit. The students were guided around Returkraft, then worked in group with tasks from business context and finally summary in plenary. Based on this teaching program, I have a…
To læreverks presentasjon av algebra på 8. trinn En analyse og sammenligning
2015
Masteroppgave matematikkdidaktikk- Universitetet i Agder, 2015 The aim of this study was to analyze how two textbooks and associated material present algebra in eighth grade, and whether they are focusing on facilitating instrumental understanding or relational understanding. Skemp’s (1976) theory on instrumental and relational understanding played an important role in this work. The textbooks I chose to analyze and compare were Grunntall 8 and Faktor 8. Additionally I wanted to study how two teachers used the textbooks. I did this because I wanted to know how they were used in the classroom. The methods used in this study were content analyses of the textbooks, observations of the two teac…
A computational method to optimal control of a wind turbine system using wavelets
2011
Author's version of a chapter in the book: Proceedings of the IEEE International Syposium on Computer-Aided Control System Design (2011). Also avaliable from the publisher at: http://dx.doi.org/10.1109/CACSD.2011.6044551 This paper deals with a computational optimization approach to the problem of state-feedback control design for a wind turbine system. The first step of the study is to develop a reduced order model for the system by considering the most important physical phenomena of aerodynamics and structural dynamics. Moreover, the behavior of the system can be influenced by the coupled dynamics between the tower motions and the blade pitch and turbine speed which can cause instabiliti…
On the analysis of a new Markov chain which has applications in AI and machine learning
2011
Accepted version of an article from the conference: 2011 24th Canadian Conference on Electrical and Computer Engineering. Published version available from IEEE: http://dx.doi.org/10.1109/CCECE.2011.6030727 In this paper, we consider the analysis of a fascinating Random Walk (RW) that contains interleaving random steps and random "jumps". The characterizing aspect of such a chain is that every step is paired with its counterpart random jump. RWs of this sort have applications in testing of entities, where the entity is never allowed to make more than a pre-specified number of consecutive failures. This paper contains the analysis of the chain, some fascinating limiting properties, and some i…
Crowd-out effect on consumers attitude towards corporate social responsibility communication
2022
Corporate social responsibility (CSR) is assumed to function better in open societies and competitive markets where market forces drive communication and voluntary adoption of self-regulated quality CSR practices. Thus, the common wisdom maintains that consumer awareness of positive CSR activities of an organisation elicits positive perceptions about the organisation. Contrarily, we find negative and insignificant effect of CSR communication on perceived CSR performance in the context of Norway. The findings are consistent with predictions of crowding-out theory which submits that moderately enforced government policies can displace consumers’ intrinsic motivations to contribute to public g…
On a stochastic disease model with vaccination
2006
We propose a stochastic disease model where vaccination is included and such that the immunity isn’t permanent. The existence, uniqueness and positivity of the solution and the stability of disease free equilibrium is studied. The numerical simulation is done.
Simulation investigations of the position of Fatigue Fracture Plane in materials with biaxial loads
1989
In the paper three methods of determination of the expected fatigue fracture plane position under random triaxial stress state have been presented. They are: weight function method, variance method and damage cumulation method. The weight function method for biaxial cyclic loadings has been analysed with digital simulation. The fatigue fracture plane position has been determined with mean values of the direction cosines of principal stress axes. Averaging has been done at angle values with use of weights. Eleven various weights have been presented and their usability has been analysed on the basis of experimental results obtained by Rotvel, and Nishihara-Kawamoto. The weights with good agre…
On double Veronese embeddings in the Grassmannian G(1,N)
2004
We classify all the embeddings of P^n in a Grassmannian of lines G(1,N) such that the composition with Pl\"ucker is given by a linear system of quadrics of P^n.