Mathematical connections are widely considered an important aspect of learning linear algebra, particularly at the introductory level. One effective strategy for teaching mathematical connections in introductory linear algebra is through inquiry-based learning (IBL). The demands of IBL instruction can make it difficult to implement such strategies…

Manfred Hauben proposes an approach to teaching non-transitive relationships between 'paradoxical' dice using simple statistical graphics. This method usefully supplements traditional approaches of conditional probability calculations and trees, and students are thereby better able to see what is going on and the mechanism of these relationships.

The purpose of this study was to test the hypothesis that students who participated in mathematically-enhanced, high school career and technical education (CTE) curriculum would reflect a better understanding of basic math concepts. This hypothesis was based on the posit that learning may be more difficult to achieve outside of a contextual…

Systems thinking encompasses a set of skills for understanding, analyzing, and working with systems consisting of multiple interconnected elements and exhibiting emergent properties. Such systems are all around us, and helping students to develop such skills is central to equipping them to tackle professional and societal challenges. While the…

Concept development workshops were held at various universities around Cape Town, South Africa since 2017. The aim of the workshops was to develop new concepts using an art-making process. The student protests in South Africa in 2015 and 2016 opened up pertinent social issues, but left many universities in a stagnated place where lecturers and…

Comprehension of physiology is essential for development of clinical reasoning. However, medical students often struggle to understand physiological concepts. Interactive learning through Peer instruction (PI) is known to stimulate students' comprehension, but its relative efficacy and working mechanisms remain to be elucidated. In this study, we…

There are a growing number of studies that have examined science learning for preschool children. Some research has looked into children's home experiences and some has focused on transition, practices, routines, and traditions in preschool contexts. However, little attention has been directed to the relationship between children's learning…

Numeration units (ones, tens, hundreds, etc.) are an epistemological foundation for place value. Here, we assume that they are a didactic support in countries where spoken numbers are incongruent with written numbers. In France, teaching practices neglect the relations between units, and numeration units are typically used only to designate the…

The purpose of this article is to show how the philosophical theory of inferentialism can be used to understand students' conceptual development in the field of mathematics. Based on the works of philosophers such as Robert Brandom, an epistemological theory in mathematics education is presented that offers the opportunity to trace students'…

This brief article shows how the simple events of our everyday lives can lead to a deep understanding of the world around us. These everyday events help students make sense of the scientific ideas we present to them.

This chapter focuses on the development of concepts that children draw on as they work toward understanding negative numbers. Framed from a conceptual change lens, I discuss different interpretations children have of minus signs, numerical order, numerical values, and addition and subtraction operations and how children draw on these varied…

Investigating the nature of our conceptualizations of learning is a crucial step towards reducing the research-to-practice gap and developing strategies toward adoption of powerful practices in teaching and learning based on educational and Learning Sciences research. The purpose of this study was to develop robust characterizations of the…

While the socio-ecological challenges of the Anthropocene are complex and interdisciplinary in nature, contemporary science is profoundly implicated in understanding and responding to them. The latest Organisation for Economic Cooperation and Development (OECD) Programme for International Student Development (PISA) 2025 Science Framework has…

Gamification-based instruction learning design can enhance students' conceptual knowledge and academic achievement by reversing before-class and in-class activities. This strategy raises the issue of students having to learn independently, especially for self-directed learning (SDL), where students often struggle. To create a flipped classroom for…

This study examined the effect of gamification on visual programming and computational thinking skills among primary school students, aiming to investigate how gamified learning environments enhance cognitive skill development and conceptual integration compared to traditional teaching methods. A quasi-experimental design was employed, involving…