Scientific Publications in Mathematical Sciences
Recent Submissions
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TOULMIN ANALYSIS OF META-MATHEMATICAL ARGUMENTATION IN A JAPANESE GRADE 8 CLASSROOM
(Chapter, 2021)In this research report we aim to analyse argumentation at two levels, using the so-called Toulmin model. We examine the structure of the mathematical argumentation, as well as the nature of the meta-mathematical argumentation ... -
Mathematical Modelling and Inquiry-Based Mathematics Education
(Chapter; Peer reviewed, 2021)Mathematical modelling (MM) is a powerful tool used by scientists and engineers to solve important problems for humankind. MM opens many possibilities for inquiry and has been included in the PLATINUM project as one of the ... -
'Reasoning' in national curricula and standards
(Chapter; Peer reviewed, 2022)The differing meanings and usages of terms related to argumentation and proof have been discussed in the literature and related to differences in language (e.g., Sekiguchi & Miyazaki, 2000), professional context (e.g., ... -
Forms of epistemic feedback
(Chapter, 2022)Feedback in a digital learning system has two functions, a pragmatic and an epistemic one. In previous papers, we were concerned with the pragmatic function, showing how digital feedback initiates acting with the system ... -
The modelling cycle as analytic research tool and how it can be enriched beyond the cognitive dimension
(Chapter, 2022)The modelling cycle is a theoretical construct frequently applied in research studies on mathematical modelling. On the one hand, the modelling cycle highlights essential aspects of modelling, which makes it a tool for ... -
Bringing Nordic mathematics education into the future. Proceedings of Norma 20, The ninth Nordic Conference on Mathematics Education
(Skrifter från Svensk förening för matematikdidaktisk forskning;, Book, 2022)This volume presents Nordic mathematics education research, which will be presented at the Ninth Nordic Conference on Mathematics Education, NORMA 20, in Oslo, Norway, in June 2021. The theme of NORMA 20 regards what it ... -
Delta-points 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 ... -
Non-homogeneous continuous time Markov chain model for information dissemination on Indonesian Twitter users
(Peer reviewed; Journal article, 2023)Nonhomogeneous Continuous-Time Markov Chain (NH-CTMC) 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 in-person conference after a ... -
The object-tool 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 MR-relevant claims and their derivation as the unit of analysis. We contend that this approach can ... -
Pre-Service Teachers’ Self-efficacy as Future Mathematics Teachers in a Second Language Classroom
(Journal article; Peer reviewed, 2023)This study contributes to the field of research on teacher self-efficacy by investigating a group of multilingual pre-service teachers’ perceptions of self-efficacy in Norwegian mathematics classrooms. In recent years, ... -
Voltage-Controlled High-Bandwidth Terahertz Oscillators Based on Antiferromagnets
(Peer reviewed; Journal article, 2023)Producing compact voltage-controlled 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 ε-isometric ... -
Energy dissipation and hysteresis cycles in pre-sliding transients of kinetic friction
(Peer reviewed; Journal article, 2023)The problem of transient hysteresis cycles induced by the pre-sliding kinetic friction is relevant for analyzing the system dynamics, e.g., of micro- and nano-positioning 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 ...
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