Recently, the field of adaptive learning has significantly attracted researchers' interest. Learning path adaptation problem (LPA) is one of the most challenging problems within this field. It is also a well-known combinatorial optimization problem, its main target is the knowledge resources sequencing offered to a specific learner with a specific…

This note deals with some variants of the integral mean value theorem. Mainly a variant of Sahoo's theorem and a variant of Wayment's theorem were proved. Our approach is rather elementary and does not use advanced techniques from analysis. The simple auxiliary functions were used to prove the results.

Conducted based on the idea that there are similarities between "action research" and "curriculum development" processes, in this study, the aim was to develop a model that practitioners can use to understand and improve the practical curriculum. To this end, first, the phenomena of "curriculum", "curriculum…

A 12-episode constructivist teaching experiment with two pairs of elementary preservice teachers was conducted to examine how they reason distributively and proportionally. Specifically, I studied how prospective teachers reason with ratios as multiplicative comparisons. Prospective teachers solved different problems in one specific context (Step…

Decomposition of organic matter controls the flow of carbon and nutrients in terrestrial and aquatic ecosystems. Several kinetic laws have been proposed to describe decomposition rates, but they neglect adaptation of the microbial decomposer to environmental conditions. Here we formalise decomposition as an optimal control problem by assuming that…

Distance education has received a lot of attention in contemporary policy as something that makes it possible for more students to participate, but also involves a certain set of challenges. When it comes to distance education, Swedish municipal adult education (MAE) stands out with its long history of flexible education, often provided on…

Modelling roles of mathematics in physics has proved to be a difficult task, with previous models of the interplay between the two disciplines mainly focusing on mathematical modelling and problem solving. However, to convey a realistic view of physics as a field of science to our students, we need to do more than train them to become fluent in…

Students' difficulties in differentiating the direct proportion and inverse proportion problems cause interference. Proactive interference is the error that occurs when old information (concept of direct proportion) interferes with new information (concept of inverse proportion). In solving the problem of inverse proportion, students often use the…

The literacy-targeted (LT) introductory economics course seeks to reduce the quantity of economic concepts under study and increase students' ability to apply those concepts to improve their own decisions and to make sense of economic news. The assessment strategy of the course must target students' ability to transfer their conceptual knowledge…

Universities employ numerous approaches to integrate ethics into programs of study that can range from faculty-led case studies integrated into course curricula (distributed model) to standalone ethics courses (consolidated model). The approach described here enhanced a distributed model in which several courses are assigned responsibility to…

Play is crucial to children's development. With the prevalent use of digital technologies, children and young adults are seen playing games more often and longer on digital devices. How should teachers capitalize the advantages of games in class, without inducing more health risks or problems for children? To achieve this goal, teachers need…

The National Council of Teachers of Mathematics (NCTM) emphasizes the teaching of "Big Ideas" in mathematics. This study focuses on the part-part-whole (PPW) relationship as a crucial aspect of word problem solving involving addition and subtraction. This study, conducted in the United States, evaluated the effects of conceptual…

Large Language Model (LLM) artificial intelligence tools present a unique challenge for educators who teach programming languages. While LLMs like ChatGPT have been well documented for their ability to complete exams and create prose, there is a noticeable lack of research into their ability to solve problems using high-level programming…

Like other health care practices, the increasing complexity in dentistry signals the need for a reconceptualisation of dentist professional learning. Professional dental bodies, at large, still privilege formal continuing professional development (CPD) provisions focusing on off-the-job activities despite growing evidence that much invaluable…

Probability theory has extensive applications across various domains, such as statistics, computer science, and finance. In probability education, students are introduced to fundamental principles which may include mathematical topics such as combinatorics and symmetric sample spaces. Students pursuing degrees in computer science possess a robust…