'Mathematical sophistication' behaviours are often exercised by mathematicians in their work. In this article, the importance of mathematical sophistication will be discussed and three mathematics problems that activate mathematical sophistication behaviours will be presented.

In this article, examples are shown to demonstrate how open-ended mathematical activities can be used in the classroom. Open-ended activities give students opportunities to apply their understanding in unfamiliar contexts without the pressure of finding one perfect solution.

One of the key challenges of Engineering Education is developing students' ability to navigate and solve problems that have multiple solution paths. In order to accomplish this, the process of solving these moderately- and ill-structured problems needs to be better understood. We used two approaches to achieve this. First, we performed problem…

Organic reaction mechanisms lie at the heart of developing an understanding of how the molecular world functions. However, many students simply try to memorize mechanisms, or use their knowledge of the reagent and product to create a mechanism that "works". This is not helped by the content-heavy organic chemistry curriculum which…

Herein, we present a program implemented in Python that utilizes a simple complete-search algorithm to determine the geometry of a lanthanide-substrate (LS) complex. The program serves as a practical project in a programming course for chemistry students, specifically aimed at illustrating fundamental concepts such as decision-making, repetition,…

As Gen Z enters an era of rapid technological change, economic uncertainty, and global challenges, traditional education models must evolve to foster adaptability, autonomy, and resilience. This article explores the role of heutagogy (self-determined learning), internships, and collective action in redefining education to prepare students for an…

Creativity and problem-solving are 21st-century skills that students must have to respond to the complex world dominated by technology. Teaching activities integrating Design Thinking (DT) have the potential to cultivate individual skills. As future in-service teachers, pre-service teachers need to understand DT so as to be able to use it in their…

Contribution: This article proposes a task-driven ADDIE-Twist design model with a double-helix structure, which introduces intelligent teaching tools and lightweight collaboration platforms to design a knowledge-sharing and group collaboration model with two layers of teaching task driven and learning task driven, providing inspiration for the…

This study aims to investigate students' computational thinking (CT) through mathematical tasks integrated with programming in Scratch. Participants completed four tasks that required students to solve coding problems, which were focused on prime numbers and the prime factorization algorithm. The study was designed as a case study and the unit of…

The capacity to generate prediction is indispensable in daily existence, particularly amidst the swift transformations that are occurring on a global scale. Therefore, this study aimed to analyze the levels of prediction ability among mathematics students when presented with data in graphs. A qualitative approach was adopted, involving 37…

This study aimed to analyze second-semester organic chemistry students' problem-solving strategies, specifically focusing on the resources activated while solving problems on E2, E1, and E1cB elimination reactions. Using the theoretical framework by Elby and Hammer, we defined a resource as a unit of information used in the problem-solving…

This study explored the effects of a self-adapted mobile concept mapping-based problem-posing (CMPP) approach applied in a virtual museum context. To investigate the effectiveness of the proposed approach, a quasi-experimental design was applied to compare the critical thinking tendency, meta-cognition tendency, problem-solving tendency,…

This is a reflective Account of Practice paper that delves into the author's role as an Action Learning coach, emphasizing the crucial role of intuition in facilitating breakthroughs and creating an environment conducive to problem-solving. It narrates a transformative 2019 coaching session where the author used unconventional techniques to…

This study analysed two internationally recognised measurements of professional skills: the Programme for the International Assessment of Adult Competencies (PIAAC) and the Digital Competence Framework for Citizens (DigComp 2.2). This analysis aimed to establish a baseline and reference point for a comprehensive understanding of these two scales…

Going beyond teaching knowledge to develop students' competencies challenges contemporary universities because acquiring knowledge is insufficient without the capacity to implement it in real environments. Complex thinking is among the most valued competencies. It allows people to reason to solve problems, integrating their scientific, systemic,…