Problem-solving skills are essential in improving the creative, critical, and logical thinking skills needed in mathematics learning and daily life. This study aims to examine the effectiveness of problem-based learning (PBL)- assisted ethnomathematics-based Geocube e-module on problem-solving skills. This quantitative research applied a…

This study addresses the critical issue of mathematical underperformance among preschoolers in Yopal Casanare, Colombia, through the perspective of an action research project. It focuses on the design and implementation of a didactic unit aimed at promoting numerical thinking, specifically seriation and structured counting, in preschool students.…

The purpose of this study is to investigate students' thinking of direct, inverse and nonproportional problems. Thirty two seventh grade students from three different government schools participated in this study. To collect the data, the participants were asked to solve 9 open-ended problems, including 3 direct, 3 inverse and 3 non-proportional…

Mathematical communication, encompassing writing in, about, and for mathematics, is a critical competency. Defining excellent mathematical writing standards, however, remains challenging. To address this, we conducted a systematic review of 48 scholarly works on quality in mathematical writing. Our findings reveal mathematical writing for…

TPACK (technological pedagogical content knowledge) has been widely used as a framework for understanding and creating teacher professional development experiences with technology, including teacher learning about programming and computational thinking (CT), which refers to the set of problem-solving practices inherent to the computer science…

Adaptive teaching practices align to students' assets and learning needs, for example, by selecting tasks adaptively so that the next learning goal for a student can be achieved. While digital formative assessment tools have been developed to provide insights into students' assets and learning needs, little is known how formative assessment…

Standardized assessments are a common part of U.S. education. Due to dramatic increases in population diversity over the past several decades, a number of scholars have recommended that these assessments become more attuned to demographic differences (e.g., Bennett; Buzick, Casabianca, and Gholson; Hughes), evaluating students' knowledge, skills,…

Zilong Pan, Jiayan Zhu, and Jennifer Kling explored the relationship between gamification platform usage and elementary students' math performance across 60 schools using a gamification program. Schools were grouped by high and low usage levels, and student performance was compared in grades three, four, and five. Findings revealed significantly…

The orthogonality of eigenfunctions in problems of unsteady heat conduction in an infinite slab with symmetric and nonsymmetric convective boundary conditions are demonstrated by performing actual integration of the products of the derived forms of eigenfunctions and by implementing the corresponding eigenvalue conditions. The analysis also…

We adapt the Lanchester combat model to represent conflict between vampires and humans. It is assumed that vampires attack humans during the hours of darkness whilst humans attack vampires during the hours of light. The right-hand side of the differential equation model therefore depends upon the hour of the day. A key insight is that to answer…

This article examines newly introduced eccentricity topological descriptors that are used to analyze the structures of polycyclic aromatic hydrocarbons. The purpose is to identify structural components that have a significant impact on physicochemical properties. Regression analysis applies to find potential correlation between different drugs…

Acquiring robust semantic representations of numbers is crucial for math achievement. However, the learning stage where magnitude becomes automatically elicited by number symbols (i.e., digits from 1 to 9) remains unknown due to the difficulty to measure automatic semantic processing. We used a frequency-tagging EEG paradigm targeting automatic…

Mathematics is a rich and beautiful playground of ideas, the apex of human creativity and ingenuity, applicable to all the world around us: humankind's best effort at understanding and describing the universe. Mathematics examinations aren't this. They're uninspiring and trauma-inducing, with an emphasis on routine calculations and easy-to-grade…

We examine the structure and objectives of our first-year service courses. The literature suggests that these are well out of date and do a poor job of preparing our students for the life of work and play that awaits them. In these courses, our curricula are based on the acquisition of knowledge, knowledge that very few of our students will ever…

In an era increasingly defined by the proliferation of big data and its transformative impact on decision-making across disciplines, the ability to interpret and engage with complex datasets has become an essential skill for future generations. This literature review reconceptualises data visualisation through the lens of school education and…