Scientific Publications in Mathematical Sciences
Recent Submissions

Deltapoints and their implications for the geometry of Banach spaces
(Peer reviewed; Journal article, 2024) 
On Daugavet indices of thickness
(Peer reviewed; Journal article, 2021)Inspired by R. Whitley's thickness index the last named author recently introduced the Daugavet index of thickness of Banach spaces. We continue the investigation of the behavior of this index and also consider two new ... 
Nonhomogeneous continuous time Markov chain model for information dissemination on Indonesian Twitter users
(Peer reviewed; Journal article, 2023)Nonhomogeneous ContinuousTime Markov Chain (NHCTMC) is a stochastic process that can be used to model problems where the future state depends only on the current state and is independent of the past. The transition ... 
A Multi Parameter Forecasting for Stock Time Series Data Using LSTM and Deep Learning Model
(Peer reviewed; Journal article, 2023)Financial data are a type of historical time series data that provide a large amount of information that is frequently employed in data analysis tasks. The question of how to forecast stock prices continues to be a topic ... 
An introduction to TWG1 : Argumentation and proof
(Chapter; Peer reviewed, 2023)Argumentation and proof is a research area that continues to attract the wide interest of the mathematics education research community, which was also evident in CERME13. CERME13 was the first inperson conference after a ... 
The objecttool duality in mathematical modelling  a framework to analyze students’ appropriation of Sankey diagrams to model dynamic processes
(Peer reviewed; Journal article, 2020)Students often do not experience the relevance of learning mathematics. This paper reports on an exploratory case study, in which a class of grade 8 students (n=35) was introduced to Sankey diagrams. The aim was to explore ... 
A framework for reasoning in school mathematics: analyzing the development of mathematical claims
(Peer reviewed; Journal article, 2024)This study introduces a framework for analyzing opportunities for mathematical reasoning (MR) in school mathematics, using MRrelevant claims and their derivation as the unit of analysis. We contend that this approach can ... 
PreService Teachers’ Selfefficacy as Future Mathematics Teachers in a Second Language Classroom
(Journal article; Peer reviewed, 2023)This study contributes to the field of research on teacher selfefficacy by investigating a group of multilingual preservice teachers’ perceptions of selfefficacy in Norwegian mathematics classrooms. In recent years, ... 
VoltageControlled HighBandwidth Terahertz Oscillators Based on Antiferromagnets
(Peer reviewed; Journal article, 2023)Producing compact voltagecontrolled frequency generators and sensors operating in the terahertz (THz) regime represents a major technological challenge. Here, we show that noncollinear antiferromagnets (NCAFM) with kagome ... 
An activity theory analysis of group interactions in mathematical modelling with the aid of digital technologies
(Chapter; Peer reviewed, 2023)This paper reports on a study in progress of group interactions in mathematical modelling activities at the secondary school level. The study focuses on students’ use of digital technologies in solving a mathematical ... 
The Role of Feedback When Learning with a Digital Artifact: A Theory Networking Case on Multimodal Algebra Learning
(Peer reviewed; Journal article, 2023)How digital feedback supports teaching/learning with a digital tool is not yet well understood. In a networking of theories approach, Activity Theory and the Instrumental Approach are combined to investigate the role of ... 
New applications of extremely regular function spaces
(Peer reviewed; Journal article, 2019)Let L be an infinite locally compact Hausdorff topological space. We show that extremely regular subspaces of C0(L) have very strong diameter 2 properties and, for every real number ε with 0 <ε<1, contain an εisometric ... 
Energy dissipation and hysteresis cycles in presliding transients of kinetic friction
(Peer reviewed; Journal article, 2023)The problem of transient hysteresis cycles induced by the presliding kinetic friction is relevant for analyzing the system dynamics, e.g., of micro and nanopositioning instruments and devices and their controlled ... 
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 ...