In this theoretical essay, I build on complexity theory and commognition to theorize the ways in which failure to teach/learn mathematics (FTLM) emerges through the dynamic interactions among teacher, learner, and curriculum demands. I focus on two main concepts of complexity theory: emergence in dynamic systems and attractor states (stable,…

Background and objectives: An early understanding of numerosity is crucial to developing proficiency in arithmetic, and rapid pattern recognition via subitizing is key in this process. The training app "LORE" specifically targets and cultivates pattern recognition skills from the beginning of formal schooling. This study investigated…

In this paper we present a novel adaptation of a tri-phase assessment tool, originally devised to investigate students' linear equations-related strategy flexibility, to evaluate Danish grade-six students' multidigit arithmetic-related strategy adaptivity and flexibility. Participants, 731 students, median age 12 years and drawn from 20…

The National Council of Teachers of Mathematics (NCTM), along with several other national organizations, released a joint statement indicating how crucial incorporating data analysis into lessons is (NCTM et al., 2024). Mathematics and gardening may seem like incongruent ideas, but mathematics, specifically data analysis, infiltrates activities…

This paper examines the meaning-making practices of Latinx bilingual students with a challenging mathematics task involving exponential growth. Our aim is to draw a better understanding of how learning takes place among a group of Latinx bilingual students who participate in official and unofficial social spaces in the classroom. Studying the…

When the challenges faced in the transition period from arithmetic to algebra are considered, it is important to research the differences between secondary school mathematics teachers from Generations X and Y, and their awareness levels. This study aims to compare the algebraic operation skills of mathematics teachers from Generations X and Y and…

Effective feedback improves grades, quality of work, and student perceptions regarding the quality of the feedback they receive. Recent feedback scholarship indicates that despite students' appreciation of quality feedback, they seldom use it. A shift in focus toward feedback engagement has resulted in several narrative reviews on the topic, each…

At the beginning of the 21st century, "number sense" was listed as one of the core words in the mathematics curriculum of compulsory education in China, and it has now become one of the core competencies of primary school mathematics. It is necessary to determine the development of number sense of first-grade primary school students (6-7…

Through creative thinking, it is possible to acquire new attitudes and a view of the world, not only of mathematics but from several sides (Kamp, 2016). Creativity in mathematics can be defined as a process based on sensitivity to problems, deficiencies, gaps in knowledge and sensitivity to identifying missing elements, revealing difficulties in…

This study introduces an evaluation benchmark for middle school algebra to be used in artificial intelligence (AI) based educational platforms. The goal is to support the design of AI systems that can enhance learners' conceptual understanding of algebra by taking into account learners' current level of algebra comprehension. The dataset comprises…

The teaching and learning of mathematics in linguistically diverse contexts present unique challenges, particularly owing to the specialised language of mathematics, the intersection of everyday and mathematical language, the impact of the language of teaching and the communication aspects of the mathematical language. This study investigates the…

This study aimed to investigate the impact of Learning Trajectories (LT[superscript 2])-based games on the mathematical learning of four-year-old kindergarteners. The research employed the ADDIE paradigm, incorporating a pre-test, post-test, and a control group experimental design. The sample group comprised 30 children--15 in the experimental…

The rise of memes has transformed the way people communicate and share information online, presenting a unique opportunity to leverage technology in the service of education. We explore the potential of memes as an educational tool for supporting STEM education and increasing student engagement. We aim to provide a theoretical framework for using…

Background and Aims: Students with intellectual disability benefit from high-quality instruction in reading and mathematics. Methods: This Theoretical Paper outlines the need for effective, evidence-based instructional practices for this population and the potential for observation research to inform such advancements. We report our systematic…

This article describes the outcomes of using a scaffolded set of two digital, simulation-based approaches to support secondary mathematics and science preservice teachers (PSTs) in learning to facilitate argumentation-focused discussions. The researchers investigated PST and teacher educator (TE) impressions of the experience and collected…