When learning physics, students need more than just an understanding of mathematical and physical concepts. Integrating the two fields is crucial, as research indicates that students often struggle even when they have a strong grasp of both. In this paper, we use the heat equation as an example from higher education. Given the importance of the…

Enhancing understanding is crucial for "all" students. Instructional approaches have been developed to achieve this goal, yet little is known about the kind of support that teachers need for their effective implementation. We compare two support conditions designed to enable teachers to enhance students' understanding of the mathematical…

Decimal misconceptions are a persistent challenge in mathematics education, often hindering students' long-term understanding. This study examines how learning analytics (LA) can be effectively integrated into instructional sequences to address these misconceptions, providing teachers with real-time insights for formative assessment. Despite the…

Early math experiences predict children's later math abilities and beliefs. However, less is known about longer-term associations between early childhood math experiences and adult math outcomes. The present study examined emerging adults' earliest memories of mathematics and reading experiences, asking whether characteristics of their early…

Mathematical abstraction skills are fundamental for advanced reasoning and problem-solving, yet assessing these skills in senior high school students poses challenges due to limited validated instruments. This study aims to develop and validate a test instrument for measuring mathematical abstraction skills in Indonesian high school students. The…

The integration of Artificial Intelligence (AI) in collaborative learning environments has transformed educational practices, yet little is known about preservice mathematics teachers' perceptions and engagement with such technology. This study aims to address this gap by exploring how pre-service teachers perceive and engage with AI-assisted…

In this study, we explored the effect of delayed enrollment in college-level mathematics upon entry into a 4-year university for students who were not placed into remedial mathematics (i.e. college ready). For students who attempted a mathematics course, delayed enrollment in mathematics did not have an effect on GPA, graduating within 6-years or…

There is an ongoing public debate about mathematics education. This dialogue influences policymakers as well as mathematics teachers who are affected by these public ideas. Consequently, exploring the public debate, for example, by studying news media, is relevant for understanding teaching and learning in mathematics and also pertinent for…

Tasks play an important role in mathematics education, as they provide opportunities for students to develop their competencies and to cognitively engage with the mathematical content. The potential for cognitive activation as a central feature of a mathematical task has been considered in numerous studies, mostly as a didactical analysis by means…

Evidence shows that to improve student persistence in mathematics, we must change our course design to encourage students to have a growth mindset. By using standards-based grading, students earn grades based on their actual learning, so they are motivated to persist with difficult topics until they achieve understanding. Mastery-based testing has…

For Terry Wood, the personal and professional were seamlessly connected. In her "House with the Blue Door" graduate students and visiting scholars lived; people gathered for conversations and music; the community reflected and found connections between important ideas. This chapter sets the stage for the special issue by contextualizing…

The mathematics curricula of Australia (ACARA, 2019), Scotland, England and America all require an understanding of proof by contradiction. Specifically, proof by contradiction is included as a Geometry topic in Specialist Mathematics (Version 8.4). In Specialist Mathematics, it is expected that students construct proofs in a variety of contexts…

Background: The debate on using concrete versus abstract materials in learning mathematics has been longstanding. For decades, research has focused on the physical characteristics of materials when defining them as concrete or abstract. Aims: This study extends the field by proposing a two-dimensional classification, which defines materials as…

Over the past ten years, interest in game-based learning has increased. This increase stems from the results of research that demonstrate the potential for increased mathematical learning and engagement when game-based learning was implemented. It has been noted that the most frequent way game-based learning is included in research is with drill…

Teachers are increasingly incorporating new learning materials into their classes: mobile apps, VR, and other results of humanity's digital development. The aim of the study was to compare the impact of the traditional approach to teaching mathematics and the use of MalMath application on the academic performance of students in terms of conceptual…