Augmented Reality (AR) enhances education by providing immersive and interactive learning experiences, particularly for students with low spatial skills, as well as in conceptual and procedural knowledge. In the Malaysian Form 2 mathematics curriculum, Isometric Transformation presents significant challenges. Traditional teaching methods often…

This study examined how mathematics anxiety, trait emotional intelligence, and mathematics self-concept predict calculation fluency, numerical operations, and mathematical reasoning in students with and without mathematics learning difficulties (MLD). Participants (N = 326) were third- to fifth-grade students from China who completed standardized…

Mathematical proficiency, particularly in Numbers and Algebra outcomes, is critical for academic achievement and real-world problem-solving. This study examines the impact of an intelligent tutoring system on seventh-grade students' mathematical development. The research had two goals: (1) to compare the conceptual understanding between…

Social media artifacts, such as memes, offer a rich opportunity to amplify and explore mathematical discourse in a new way that is responsive to this generation of students. This article summarizes a list of activities developed by the Math Meme Team, a group of interdisciplinary educators and researchers that aims to not only analyze and…

In this paper, we are interested in the learning outcomes from undergraduate students' digital experiences of conducting multiple pure and applied mathematics investigations supported by programming technology. Our case study encompasses a sequence of three project-based mathematics courses implemented for over 20 years at Brock University. We…

In this paper, we present an empirical study carried out in a country where STEM education does not have a tradition, and the content and didactics of mathematics are typically studied separately from the content and didactics of biology. In that context, we focus on analogies in the conceptual structure of mathematics and biology, and study how…

This study focuses on the concept of pairability as a fundamental metaphorical concept in the Cantorian set theory regarding comparison of infinite sets. In this theory, pairability appears in a hierarchical manner of generating and developing as a one-to-one correspondence by arrows in finite, and then in infinite states, a bijection map through…

The paper presents analyses of multivariable calculus learning-teaching phenomena through the lenses of DNR-based instruction, focusing on several foundational calculus concepts, including "cross product," "linearization," "total derivative," "Chain Rule," and "implicit differentiation." The…

Several new approaches to calculus in the U.S. have been studied recently that are grounded in infinitesimals or differentials rather than limits. These approaches seek to restore to differential notation the direct referential power it had during the first century after calculus was developed. In these approaches, a differential equation like dy…

The goal of this note is to obtain the area enclosed between a parabola and two tangent lines using visual arguments. The first step that we have to follow, in order to do that, is noticing that the area between a parabola and a tangent line only depends on the leading coefficient of the quadratic function of the parabola. Finally, the…

In this study we consider a classic paradox of infinity and its variations and suggest how the sources of misleading intuition can be analysed using the concept of uniform convergence of functions. We then examine how six mathematics honour students engage with a variation of the paradox. Despite their advanced mathematical training, the…

The goal of this article is to investigate Davydov's concept of the concept against the backdrop of its philosophical system, namely, dialectical materialism. In the first part, after briefly sketching the context of Davydov's work, I consider some ontological and epistemological ideas on which Davydov bases his concept of the concept. I pay…

This paper conceptualizes children's mathematical thinking from a materialist perspective on language and mathematics. This perspective considers human and non-human bodies as ontologically equivalent; that is, as both being agentive, vibrant, and animated, thus resisting static representations. This conceptualization is an alternative to the…

Natural language helps express mathematical thinking and contexts. Conventional mathematical notation (CMN) best suits expressions and equations. Each is essential; each also has limitations, especially for learners. Our research studies how programming can be a advantageous third language that can also help restore mathematical connections that…

The aim of this research was to describe the results of the exploration of mathematical concepts in Malang City's traditional game Tong Tong Galitong Ji or Nasi Goreng Kecap. This research is a qualitative study with an ethnographic approach. Data were collected through field observations, documentation (photographing and video recording), and…