Undergraduate quantum mechanics (QM) uses a variety of notations, each with their own advantages and constraints, for representing quantum states and carrying out individual calculations. An example of this can be seen when calculating expectation values, which can be solved using several different methods. Analysis of written exam data given at…

This study investigates the impact of different modes and tailor-made response enhancing measures (TMREM)--such as bilingual interviewers with a shared ethnic background and translated questionnaires--on the measurement of substantive variables in surveys among minority ethnic groups in the Netherlands. It also provides insight into the ability to…

Whole Number Arithmetic (WNA) appears as the very first topic in school mathematics and establishes the foundation for later mathematical content. Without solid mastery of WNA, students may experience difficulties in learning fractions, ratio and proportion, and algebra. The challenge of students' learning and mastery of fractions, decimals, ratio…

This paper makes a proposal, from the perspective of a research mathematician interested in mathematics education, for broadening and deepening whole number arithmetic instruction, to make it more relevant for the twenty-first century, in particular, to enable students to deal with large numbers, arguably an essential skill for modern citizenship.…

Predictability of behavior is an important characteristic in many fields including biology, medicine, marketing, and education. When a sequence of actions performed by an individual can be modeled as a stationary time-homogeneous Markov chain the predictability of the individual's behavior can be quantified by the entropy rate of the process. This…

This paper develops the ideas of "The Pedagogical Power of Context: Iterative Calculus Methods and the Epidemiology of Eyam" (French "et al." 2018 "J. Phys. Educ."), where we considered the application of the Euler method to solve epidemiological problems. Our purpose was to convey some examples of school level work…

Since 2006, there has been an ever-increasing momentum in computational thinking educational policy initiatives (CTEPI) across the globe. In this paper, the representative CT educational policy initiatives viewed through the lens of international perspectives and cultural contexts were examined, compared and discussed. Reports, white papers, and…

A series of computational laboratory experiments aimed at teaching students principles of rational drug design are described and evaluated. These experiments range from an introduction to viewing protein-ligand complexes to optimizing geometries of potential drugs with quantum chemistry and automated docking. Student feedback indicates that such a…

All studies with randomized controlled experiments (scientific studies) on the effectiveness of SAT test preparation courses were analyzed to find SAT prep's true effectiveness (the average point change to average course hours ratio). The scientific studies complete with both known average point change and known average course length (complete…

The present study investigated relationships between statistics anxiety (SA), trait anxiety, attitudes towards mathematics and statistics, and academic achievement among university students who had at least one study course related to statistics in their study programme. Five hundred and twelve students from the University of Ljubljana completed…

As a result of COVID-19, various forms of education and teaching are moving online. However, the notion of an online STEM camp is still in its beginnings, and there is little relevant research and experience in this context. At the beginning of April 2021, the research team launched an online STEM charity camp with the theme of "Shen Nong…

This research explored the creative thinking, learning achievement, and engagement of students when they integrated the application of the personal audio classifier (PAC) into the competition of a computational thinking (CT) board game (i.e., the experimental group), or did not integrate it into the competition but only collaborated with peers to…

This study investigated which domain-specific and domain-general skills measured at grade 1 predict mathematical learning difficulties (MLD) status at grade 3. We used different cut-off criteria and measures of mathematics performance for defining the MLD status. Norwegian children's (N = 206) numeracy, cognitive, and language skills were measured…

The integer is a basic concept in studying arithmetic and algebra. However, students still frequently experience misconceptions, especially in negative integer, count operations. Traditional games are activities that are often carried out by students in coastal areas so that they are relevant to be used as a tool to construct learning trajectories…

Background: There has been a dearth of research on intersectional identities in STEM, including the fields of computing and engineering. In computing education research, much work has been done on broadening participation, but there has been little investigation into how the field of computer science (CS) presents opportunities for students with…