Scientific Publications in Mathematical Sciences
Recent Submissions

Approaches to Learning Mathematics: Preliminary Evidence of a Concise, Valid, and Reliable Instrument
(Peer reviewed; Journal article, 2023)We assess students’ approaches to learning mathematics not only to predict students’ learning outcomes but also for its crucial utilities in the teaching and learning process. These utilities range from evaluating effective ... 
The spirit of mathematical modelling – a philosophical study on the occasion of 50 years of mathematical modeling education
(Peer reviewed; Journal article, 2023)We mark the 50th anniversary of mathematical modeling education by reviving the term the spirit of mathematical modeling (SoMM), which idealistically reflects core aspects of mathematical modeling. The basis of our analysis ... 
Job satisfaction of mathematics teachers: an empirical investigation to quantify the contributions of teacher self‑efficacy and teacher motivation to teach
(Peer reviewed; Journal article, 2023)The shortage of mathematics teachers necessitates deliberate efforts to retain highquality ones in many parts of the world. This puts teacher job satisfaction in the spotlight since satisfied teachers are likely to retain ... 
Rough linear PDEs with discontinuous coefficients – existence of solutions via regularization by fractional Brownian motion
(Peer reviewed; Journal article, 2020)We consider two related linear PDE’s perturbed by a fractional Brownian motion. We allow the drift to be discontinuous, in which case the corresponding deterministic equation is illposed. However, the noise will be shown ... 
Exploring Realistic Mathematics Education in a Flipped Classroom Context at the Tertiary Level
(Peer reviewed; Journal article, 2020)Flipped classroom (FC) pedagogical frameworks have recently gained considerable popularity, especially at secondary school levels. However, there are rich opportunities to explore FC at tertiary levels, but progress on the ... 
Analysis of relations between attitude towards mathematics, prior knowledge, selfefficacy, expected and actual grades in mathematics
(Chapter, 2022)The purpose of this study is to analyse relations between students’ attitude towards mathematics, prior knowledge, selfefficacy, expected grades, and performance in mathematics among 115 firstyear engineering students. ... 
The sine anecdote in Kovalevskaya’s memoirs
(Peer reviewed; Journal article, 2022)In Sofya Vasilyevna Kovalevskaya’s memoirs there is a rather ambiguous story about how she came to understand trigonometric functions on her own as a teenager by reading the chapter on optics in Tyrtov’s elementary physics ... 
How are proof and proving conceptualized in mathematics curriculum documents in the USA and Japan?
(Chapter; Peer reviewed, 2022)Only a few international comparative studies have reported on proof and proving in curriculum documents. This report proposes a method of comparing the meaning of proofrelated words in two specific countries’ curriculum ... 
On Steady Solutions of a generalized Whitham equation
(Peer reviewed; Journal article, 2021) 
InService Teachers’ Perception of the Usefulness of Analyzing their Lower Secondary Students’ Written Argumentation
(Peer reviewed; Journal article, 2022)This study investigates how inservice teachers perceive analyzing their own lower secondary students’ written argumentation as useful. The participants were lower secondary school teachers enrolled in a university mathematics ... 
An Extension of Weyl’s Equidistribution Theorem to Generalized Polynomials and Applications
(Peer reviewed; Journal article, 2020)Generalized polynomials are mappings obtained from the conventional polynomials by the use of the operations of addition and multiplication and taking the integer part. Extending the classical theorem of Weyl on equidistribution ... 
Another look at the two Egyptian pyramid volume ‘formulas’ of 1850 BCE
(Peer reviewed; Journal article, 2022) 
Isometric factorization of vector measures and applications to spaces of integrable functions
(Peer reviewed; Journal article, 2021)Let X be a Banach space, Σ be a σalgebra, and be a (countably additive) vector measure. It is a well known consequence of the DavisFigielJohnsonPełczyński factorization procedure that there exist a reflexive Banach ... 
Grunnskolelærerstudenters erfaring med eBokbasert undervisning i matematikk
(Peer reviewed; Journal article, 2022)I denne artikkelen analyserer vi grunnskolelærerstudenters respons på en eBokbasert undervisningsform i matematikk. Denne eBoka besto av oppgaver med både skriftlige og videobaserte løsningsforslag. Oppgavene ble hentet ... 
Abstraction and embodiment: exploring the process of grasping a general
(Peer reviewed; Journal article, 2022)This paper reports from a case study which explores kindergarten children’s mathematical abstraction in a teaching–learning activity about reflection symmetry. From a dialectical perspective, abstraction is here conceived ... 
The Covid19 Pandemic  Experiences and Expectations about Attending International Seminars and Conferences Among Teacher Educators
(Journal article; Peer reviewed, 2022)During the Covid19 pandemic, several international physical facetoface conferences have been cancelled, and often substituted by online events. This situation may have led to different experiences among teacher educators ... 
Girsanov theorem for multifractional Brownian processes
(Peer reviewed; Journal article, 2022) 
The sine anecdote in Kovalevskaya’s memoirs
(Peer reviewed; Journal article, 2022) 
Cronbach’s alpha in mathematics education research: Its appropriateness, overuse, and alternatives in estimating scale reliability
(Peer reviewed; Journal article, 2022) 
Random dynamical system generated by the 3D NavierStokes equation with rough transport noise
(Peer reviewed; Journal article, 2022)We consider the NavierStokes system in three dimensions perturbed by a transport noise which is sufficiently smooth in space and rough in time. The existence of a weak solution was proved in [26], however, as in the ...