Search results for "VDP::Mathematics and natural science: 400::Mathematics: 410"
showing 8 items of 248 documents
Revisiting the didactic triangle: from the particular to the general
2012
Published version of an article in the journal: ZDM. Also available from the publisher at: http://www.springerlink.com/content/61p78l089tnx8rn5/ The basic notion of a didactic triangle is explained with historical annotations on its origins and subsequent theorization in the literature. Instances of its application to classroom environments to demonstrate its representational capabilities are presented. Generalizations of the triangle are proposed that integrate the role of technology, the researcher in mathematics teaching developmental research, and mediating complexes in the student–teacher–content interfaces. Further, the use of the didactic triangle as a heuristic device is also discus…
Professional mathematics teacher identity: analysis of reflective narratives from discourses and activities
2012
Published verson of an article in the journal: Journal of Mathematics Teacher Education. Also available from the publisher at: http://dx.doi.org/10.1007/s10857-012-9216-1 This article focuses on the methodological use of reflective narratives from discourses and activities of an experienced primary teacher as evidence of her professional identity. The teacher’s reflective narratives emerge from her participation in a 3-year developmental and research project, Learning Communities in Mathematics, conducted at the University of Agder (UiA) in Norway. As background for our study, we firstly present the teacher in action with her sixth-grade pupils in a mathematics lesson, and then analyse sele…
Modeling and Backstepping Control of the Electronic Throttle System
2013
Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/871674 Open access Electronic throttle is widely used in modern automotive engines. An electronic throttle system regulates the throttle plate angle by using a DC servo motor to adjust the inlet airflow rate of an internal combustion engine. Its application leads to improvements in vehicle drivability, fuel economy, and emissions. In this paper, by taking into account the dynamical behavior of the electronic throttle, the mechanism model is first built, and then the mechanism model is transformed into the state-space model. Based on the s…
Læringspotensial i en digital interaktiv matematikkundervisning : en analyse av læringspotensialet i geometriundervisningen på 8. trinn med utstrakt …
2016
Masteroppgave matematikkdidaktikk – Universitetet i Agder 2016 The theme of this master thesis is learning potential in mathematical tasks designed for geometry teaching in GeoGebra in 8th grade. This thesis is written in connection to the project Digital interactive mathematics teaching (DIM), where the goal is to create innovative mathematics teaching by using digital tools in a pedagogic context. Previous research has documented that students learning outcome of the teaching is largely influenced and limited by the tasks that are given. In this context analysis of the tasks learning potential is particular interesting. Therefore, my research question is: What learning potential is it in …
Den Virtuelle Matematikkskolen - Ungdomstrinnet : En studie av hvilke pedagogiske konsekvenser bruk av nettressursen DVM-U kan føre med seg
2016
Masteroppgave matematikkdidaktikk – Universitetet i Agder 2016 Many lower secondary school students struggle with mathematics and with motivation in the subject. To improve student achievement and motivation in mathematics, The Norwegian Centre for ICT in Education and The Norwegian Centre for Mathematics Education have developed an online learning resource that contains mathematical examples, exercises and games, called The Virtual School of Mathematics – Lower Secondary (DVM-U). The Norwegian Centre for ICT in Education suggest that DVM-U can be used in preparation of a topic, or as something students can work with if they do not benefit on a satisfactory level from the classroom teaching…
Tilpasset opplæring i matematikk på ungdomsskolen : to læreres begrunnelser for sine tilpasninger
2016
Masteroppgave matematikkdidaktikk – Universitetet i Agder 2016 The theme of this thesis is adapted education with an emphasis on adapting the teaching of mathematics. I have also decided to direct my attention toward students with low attainers. My research question is: "What arguments gives two mathematics teachers in their adaptations in teaching students with low attainers in middle school?" The study discusses how teachers adapt lessons to students with low attainers in the subject. The empirical basically are two mathematics teachers who teach in the same middle school. In this study I have used qualitative methods. The data is collected through a semi-structured interview. The aim has…
Ungdomsskoleelevers bruk av symboler i algebra
2016
Masteroppgave matematikkdidaktikk – Universitetet i Agder 2016 The thesis investigates the challenges students in 10th grade face while learning algebra, algebraic symbols and how they assess the subject. With the use of a theoretical test and semistructured interviews, the thesis aims to answer the following research questions: 1. What challenges do students from lower secondary education encounter while learning algebra? 2. How do these students engage with algebra and what are their views and aspects towards the subject? The thesis serves primarily as a qualitative case study, of three students from lower secondary school. In addition, quantitative research methods have been undertaken b…
Pytagoras si setning på 10. trinn : ei analyse av tre lærebøkers framstilling og ein elevs bruk av ei av lærebøkene
2016
Masteroppgave matematikkdidaktikk – Universitetet i Agder 2016 This text answers two research questions. The first research question is about how three different textbooks for grade 10 presents the Pythagorean theorem through different representations. These representations are geometric, algebraic and textual. The textbooks are Tetra, Faktor and Maximum. The precision of individual representations and the precision between representations is studied. The chronology in the presentation of the representations has also been studied. The conclusion is that the textbooks have different presentations of the Pythagorean theorem. A geometric representation is presented first in all three textbooks…