Recently, claims of a 'new and straightforward' method of solution to second-order linear difference equations have appeared in the mathematics education literature from Rivera-Figueroa and Rivera-Rebolledo. The claim of novelty is based on an assumption that 'since the equation is worked in its canonical form', the method within this context must…

The nature of problem solving has been a difficult one to pin down, with much of the focus placed on hypothetical cognitive structures based on technological metaphors that change as quickly as the currently popular technologies after which they are modeled. While behavior analysts have made use of several effective instructional methodologies to…

Literature in science education positions questions as the launching point for scientific inquiry, and widely used standards, such as the Next Generation Science Standards often state: "Science begins with a question" (NGSS Lead States, 2013). Questions have generally been studied for their role in sparking student inquiry or helping…

Preliminary research showed that the learning process could have been more optimal, and this led to the research to develop a TEFA Model with the PBL concept as a valid, practical, and effective method of improving the problem-solving and communication skills of Automotive Vocational Education students. The process involved using the Research and…

Contribution: A problem-solving approach (PSA) model derived from major computational thinking (CT) concepts. This model can be utilized to formulate solutions for different algorithmic problems and translate them into effective active learning methods. Background: Different teaching approaches for programming are widely available; however, being…

Technology can play a pivotal role in mathematics education. Qualitative methods were used to report on how a Year 1-2 teacher incorporated "Conveyance technology" (iPads), to support the teaching and learning of mathematics through student reasoning and problem-solving. The study was conducted in Australia. A single case was chosen,…

Developing self-regulated learning (SRL) skills among young adolescents is crucial for lifelong learning, and teachers play a vital role in fostering these skills. Problem-solving is a key SRL skill; however, both learners and teachers encounter challenges during the problem-solving process and in evaluating its incorporated strategies. To tackle…

Background: Creativity is one of the key competencies for the talent of the 21st century to meet future challenges in a complex world. It is also an innovative basis for students to discover and pose questions. Purpose: This study aimed to explore which two interventions of the problem-oriented teaching model, teacher-guided problem finding (TGPF)…

While children receive most emotional messages from their caregivers, schools provide a unique opportunity to promote social-emotional competence. Early childhood educators and administrators should consider the long-term outcomes of incorporating SEL for young learners and school staff. One strategy to promote young students' social-emotional…

In the context of our rapidly digitizing society, computational thinking stands out as an essential attribute for cultivating aptitude and expertise. Through the prism of computational thinking, learners are more adeptly positioned to dissect and navigate real-world challenges, poising them effectively to meet the exigencies of future societal…

Comparison is an important mechanism for learning in general, and comparing two worked examples has garnered support over the last 15 years as an effective tool for learning algebra in mainstream classrooms. This study was aimed at improving our understanding of how Modified for Language Support-Worked Example Pairs (MLS-WEPs) contribute to…

Numerous studies compared the effectiveness of various formats of video-based teaching, yet their focus has primarily been on relatively straightforward content, such as concepts and basic procedures. Research on the effectiveness of teaching complex content through different formats of videos remains limited. This study addresses this gap by…

Background: The COVID-19 pandemic and the shift to digital learning materials have dramatically reduced the use of paper-based textbooks in higher education. In the field of engineering, students need a comprehensive understanding of mathematical concepts, which can be achieved through the use of e-textbooks. These digital learning materials can…

Teachers are increasingly adopting flipped instruction for individual lessons or even entire courses. Typically, flipped instruction involves a teacher assigning videos for homework and then using in-class time for students to solve problems--that is, the settings for content delivery and completing assignments have "flipped." In…

Arithmetic problem solving is a crucial part of mathematics education. However, existing problem solving theories do not fully account for the semantic constraints partaking in the encoding and recoding of arithmetic word problems. In this respect, the limitations of the main existing models in the literature are discussed. We then introduce the…