Search results for "41"
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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…
Student meaning making in elementary algebra teaching : An in-depth study of classrooms in four countries
2020
Paper II and III are not available as a part of the dissertation due to the copyright. The research presented in this thesis is based on observations and analyses of classroom data from four countries. The data were collected through a collaboration of local research teams in Finland, Norway, Sweden and the USA (California) and the shared topic of interest is the learning of elementary algebra. This thesis is concerned with the meaning making of students as they are introduced to, and engage in, tasks, symbols and ideas belonging to the highly abstract discourse of algebra. Further, as a response to the complexity of classroom learning, the thesis also seeks to advance analytical approaches…
Introduksjon av algebra i den norske skole : en sammenligningsstudie av læreres introduksjon og forståelse av algebra på ungdomstrinnet og i den vide…
2013
Masteroppgave i matematikkdidaktikk- Universitetet i Agder 2013 The theme for this study is introduction of algebra. I have focused on how teachers deals with the relationship between a syntactic and a semantic focus, the relationship between procedural and conceptual knowledge, the transition from lower secondary school to higher secondary school, and the use of textbooks in the teaching of algebra. My research questions are: 1. What personal understanding of algebra does teacher in mathematics in the lower secondary school and in higher secondary school have of the subject algebra? a. What understanding does the teacher have regarding the students competence in algebra? b. What does the t…
Algebra i lærebøker 8. trinn : en komparativ studie av lærebøkers introduksjon til algebra
2013
Masteroppgave i matematikkdidaktikk- Universitetet i Agder Denne masteroppgaven er en komparativ studie av lærebøker og deres introduksjon av algebra. Det største fokuset i masteroppgaven ligger på lærebøkenes arbeidsoppgaver, og på sammenhengen mellom deres utforming og elevers forståelse. I teorien har jeg fokusert på det semantiske og syntaktiske aspektet, ulike former for resonering og på relasjonell og instrumentell forståelse. Jeg har følgende tre forskningsspørsmål: - I hvilken grad bidrar lærebøkenes arbeidsoppgaver til å øke elevers relasjonsforståelse? - Hvordan er de ulike lærebøkene organisert med hensyn til oppgaver? - Hvilket fokus har de ulike lærerveiledningene på algebra? F…