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A study of university students’ beliefs about infinity and related concepts, e.g. division by zero and denseness of the number line, was conducted. The concepts were chosen for the students’ proven cognitive challenge in coping with them, and part of the study was to analyze individual beliefs of the different concepts in relation to each other. A questionnaire was designed to discover relationshi

This article discusses the role of mathematics during physics lessons in upper-secondary school. Mathematics is an inherent part of theoretical models in physics and makes powerful predictions of natural phenomena possible. Ability to use both theoretical models and mathematics is central in physics. This paper takes as a starting point that the relations made during physics lessons between the th

We compared five groups of students to investigate the effects of ”Just-in-time teaching” (JiTT), a method designed to both help students keep up with the often fast pace of undergraduate calculus and to deepen their learning. In total, 137 students participated in the study. The outcome is discussed in terms of conceptual and procedural knowledge in relation to examination and other assessment ta

This study aims at exploring processes of flexibility and coordination among acts of visualization and analysis in students’ attempt to reach a general formula for a three-dimensional pattern generalizing task.The investigation draws on a case-study analysis of two 15-year-old girls working together on a task in which they are asked to calculate the number of blocks in a three-dimensional tower of

We outline a framework to study the use of mathematics in physics classrooms. The framework focuses on the relations made between Reality, Theoretical models and Mathematics. In this paper the analyses of one teacher and her 3rd year classes at secondary school are presented. The results show that phenomena in reality are often used as a short prelude to put focus on the relationship theoretical m

The aim of the study reported in this paper is to investigate how students understand continuity and differentiability during and after a calculus course. The students’ choices of representations, both claimed and acted, were also studied. The study is part of a larger study of four student groups taking a calculus course. 207 students answered a questionnaire during the course and of them, 11were

The need to enhance the resilience of urban drainage systems (UDSs) in view of emerging global climate change and urbanisation threats is well recognised. Blue-Green Infrastructure (BGI) provides a suitable strategy for building the resilience of existing UDSs. However, there are limited quantitative studies that provide evidence of their effectiveness for increased uptake in cities. In this resea

A student at a university, let us call him John, was always the first to answer questions posed by the teacher. Problems that took 15 minutes for his peers to solve took him a split second. John attended all compulsory lectures, but he did not do all compulsory tasks and hence did not pass the course. He was always late and not very focused on the course, other than on occasional problems posed by

This chapter describes a case study of the role of mathematics in physics textbooks and in associated teacher-led lessons. The theoretical framework (Hansson L, Hansson Ö, Juter K, Redfors A. Sci Edu 24:615–644, 2015) used in the analysis focuses on relations communicated between three entities: Theoretical models, Mathematics and Reality. Previously the framework has been used for analysing class

This article discusses practical and theoretical aspects of real-time brain computer interface control methods based on Bayesian statistics. We investigate and improve the performance of automatic control and feedback algorithms of a reactive brain computer interface based on a visual oddball paradigm for faster statistical convergence. We introduce transfer learning using Gaussian mixture models,

Compassion fatigue (CF) in teachers is a novel concept with potentially high relevance in relation to the work-life demands on teachers today, and the associated challenges of long-term well-being and work-life satisfaction for the profession. CF was originally studied in mental health settings and captures the possible adverse effects on professionals’ empathic capacity and ability to care for cl

This study explores the bi-directional relationship between attractiveness and prosocial behavior. While it is known that we often expect attractive people to act more prosocial, this research also examines how someone's actions can affect how attractive we perceive them to be. In a pre-registered incentivized behavioral experiment (n = 250), using avatar pictures representative of previous player

The growth of plant-based food and drink substitutes has led to increased interest in oat-based milk substitute as a dairy milk alternative. Conventional liquid oat base (LOB) production results in a fibre-rich insoluble by-product and loss of valuable macronutrients. This study investigates the use of xylanase enzymes to release insoluble arabinoxylan (AX) fibre and employs different degrees of m

Modern combustion processes widely use exhaust gas recirculation, oxyfuel combustion, and other techniques that alter the concentration of diluent gases from that of the air. The dilution's impact on the laminar burning velocity, SL, is therefore a crucial effect that has been studied experimentally and numerically in the literature. However, an accurate fitting correlation with physical meanings

Bacteria are key organisms in energy and nutrient cycles, and predicting the effects of temperature change on bacterial activity is important in assessing global change effects. A changing in situ temperature will affect the temperature adaptation of bacterial growth in lake water, both long term in response to global change, and short term in response to seasonal variations. The rate of adaptatio