There is currently little physics education literature examining thinking and learning in graduate education and even less literature characterizing problem solving among physics graduate students despite this being an essential professional skill for physicists. Given reports of discrepancies between physics problem solving in the undergraduate…

Background: Process data captured by computer-based assessments provide valuable insight into respondents' cognitive processes during problem-solving tasks. Although previous studies have utilized process data to analyse behavioural patterns or strategies in problem-solving tasks, the connection between latent cognitive states and their…

Collaborative learning is a group learning paradigm in which individuals or students work together to solve problems or complete tasks, exemplifying the essence of collective educational efforts. There are a lot of collaborative learning methods available; however, finding one that is suitable for the complex nature of mathematical problem-solving…

Background: Learners of database courses usually encounter difficulties in building entity-relationship (ER) models and relational models for database problems. These difficulties may arise because of semantic gaps between the stages of database design. To investigate this issue, we employed semantic network theory--particularly the concept of…

We performed an inductive study to advance theory on how a crisis can inspire individuals to be persistently creative in successive cycles. We draw from rich data of 17 volunteer projects in the Tech4Covid movement, a Portuguese organization of entrepreneurs who gathered online to develop digital solutions to help society during the COVID-19…

The purpose of this mixed methods study was to investigate the implementation of a researcher-created numberless word problem instructional unit designed to introduce second-grade students to word problems in the semantic category of "compare with the word more, smaller unknown." The 10-day instructional unit incorporated three elements:…

In this article, the authors introduce and illustrate a new activity that involves "follow-up equations," which are equations that follow up on ideas children have already expressed when solving fraction story problems. Specifically, teachers pose story problems and purposely attend to fraction ideas that arise in children's strategies…

The success or failure of education systems in promoting student problem-solving skills depends on attitudinal, political, and pedagogical variables. Among these variables, the design of mathematics textbooks is thought to partially explain why students from high-achieving countries show better problem-solving ability in international assessments.…

What are consequential world problems? As "grand societal challenges", one might define them as problems that affect a large number of people, perhaps even the entire planet, including problems such as climate change, distributive justice, world peace, world nutrition, clean air and clean water, access to education, and many more. The…

Problem-based learning ignites hands-on exploration, ignites curiosity, and sparks lifelong problem-solvers. This Spotlight will help readers learn how virtual reality can be used for unique problem-solving and engagement; explore how students are publishing their research in peer-reviewed journals; uncover how after-school programs are helping…

The purpose of this study is to assess the fraction addition problems posed by pre-service teachers using digital storytelling and to identify their perspectives on this activity. 69 mathematics teacher candidates participated in the study. The research comprises two sections. Participants were expected to pose a problem via digital storytelling…

Every educator knows the sinking feeling of a lesson gone wrong. As teachers look around the room and realize that many of their students are just not getting it, they often feel like failures. However, the struggle students experience as they persevere through high-quality challenging tasks is not a sign of failure, but rather a key aspect of…

The learning model used by educators only transmits knowledge and does not provide opportunities for students to interact, causing them to lose time to develop their experience in the collaborative learning process. This research aims to improve collaboration skills by implementing a problem-based learning model in grade IV elementary school. The…

Mathematical reasoning, a fundamental aspect of human cognition, poses significant challenges for artificial intelligence (AI) systems. Despite recent advancements in natural language processing (NLP) and large language models (LLMs), AI's ability to replicate human-like reasoning, generalization, and efficiency remains an ongoing research…

Effective math instruction is crucial for developing students' problem-solving abilities. This Spotlight explores key strategies and approaches to enhance math teaching and learning. From laying the foundation for algebra in kindergarten to improving understanding of fractions, these articles offer valuable perspectives. Discover how to help…