Search results for "Matematikk"

“The joy that engineers and mathematicians have come together.” Richard von Mises’ foundation of ZAMM, and its “Tasks and Goals” (1920/21)

2020

An exploration of how social science students utilise an opportunity to learn about simulation-based research methods : A design-based study

2021

Paper I, Paper III and Paper IV is excluded from the dissertation with respect to copyright. Paper III and Paper IV is not published yet. At the core of this thesis lies an exploration of how social science students utilise an opportunity to learn about Modeling and Simulation (M&S)-based research methods. The study is framed within the Cultural Historical Activity Theory (CHAT). The thesis also utilises local theories such as the community of practice theory, the theory of objectification, and the theory of semiotic representation, and these are used to analyse, interpret and discuss the data generated in the study. During the analysis, boundary-crossing, boundary objects, tension and cont…

The resource decisions and documents of undergraduate engineering students in mathematics courses

2020

This thesis concerns a multiple case study, carried out at three Norwegian universities. The goal was to find similarities and differences between how engineering students from different university contexts used resources to learn mathematics, and how they made decisions regarding their use of resources. My project had an inductive focus, networking thematic analysis (Braun & Clarke, 2006) with the theoretical framework of the documentational approach to didactics (Gueudet & Trouche, 2009). After my analysis, I also compared my results and conclusions to those of authors who have conducted research projects with a similar focus (i.e. Anastasikis, 2018; Gueudet & Pepin, 2016; Kanwal, 2018; P…

The development of students’ mathematical competencies : The case of biology students

2023

This research focuses on the development of mathematical competencies of first-year university students in a Biology department as they engage in nonroutine open-ended mathematical tasks set in the context of biology. The research employs a scaling instrument on a modified extant competence framework to identify evidence of student competency development by exploring situations where students activate particular mathematical competencies. The scaling instrument is designed to evaluate the quality of competence activation. The research creates individual competency profiles for volunteer students who participated in a series of calculus classes addressing several mathematical areas over one …

Undergraduate students’ performance in mathematics : Individual and combined effects of approaches to learning, self-efficacy, and prior mathematics …

2021

Paper VII is not published yet. This dissertation concerns an exploration of factors that affect the learning outcomes of students in higher education mathematics. It is framed within a quantitative research paradigm in which the existence of personal factors such as prior knowledge, self-efficacy, and approaches to learning are assumed and that these factors may be operationalised and measured. The aim of this study is to investigate effects of prior mathematics knowledge, approaches to learning and self-efficacy on students’ performance in a first-year introductory calculus course for students on engineering programmes. Further, the interrelatedness of these factors and their combined eff…

Grunnskolelærerstudenters erfaring med eBok-basert undervisning i matematikk

2022

I denne artikkelen analyserer vi grunnskolelærerstudenters respons på en eBok-basert undervisningsform i matematikk. Denne eBoka besto av oppgaver med både skriftlige og videobaserte løsningsforslag. Oppgavene ble hentet fra tidligere gitte eksamensoppgaver knyttet til nasjonal deleksamen i matematikk. Formålet var å undersøke: a) hvordan studentene benyttet de ulike læringsressursene i eBoka, og b) på hvilke måter studentens bruk av læringsressursene hadde pragmatisk og epistemisk verdi (Artigue, 2002). Analysene bygger på kvantitative og kvalitative data fra en spørreundersøkelse (N = 60) om bruk av eBoka og viser at nesten alle studentene benyttet de videobaserte løsningsforslagene, mens…

Learning to teach a mathematical emotional orientation

2020

Author's accepted manuscript.

Development of mathematics motivation scale: A preliminary exploratory study with a focus on secondary school students

2021

The big slice phenomenon in Banach spaces. Diameter 2 properties, Daugavet- and delta-points

2021

Paper IV is excluded from the dissertation until it will be published. Preliminary theory will be presented prior to each result. We begin, in Subsection 1.2.1, by discussing Müntz spaces, which is the focus of the two first papers, “Two properties of Müntz spaces” and “Octahedrality and Müntz spaces”. In Subsection 1.2.2, we then discuss diameter two properties which is the recurring theme throughout the thesis. We end the summary, with Subsection 1.2.3, by presenting the results related to Daugavet- and delta-points, which form the focus of the papers “Daugavet- and delta-points in Banach spaces with unconditional bases” and “Delta-points in Banach spaces generated by adequate families…

Cronbach’s alpha in mathematics education research: Its appropriateness, overuse, and alternatives in estimating scale reliability

2022

Critiques of coefficient alpha as an estimate of scale reliability are widespread in the literature. However, the continuous overuse of this statistic in mathematics education research suggests a disconnection between theory and practice. As such, this article argues, in a non-technical way, for the limited usefulness of coefficient alpha, its overuse, and its alternatives in estimating scale reliability. Coefficient alpha gives information only about the degree of the interrelatedness of a set of items that measures a construct. Contrary to the widely circulated misconceptions in mathematics education research, a high coefficient alpha value does not mean the instrument is reliable, and it…