Background: Real-world engineering problems are ill-defined and complex, and solving them may arouse negative epistemic affect (feelings experienced within problem-solving). These feelings fall into sequenced patterns (affective pathways). Over time, these patterns can alter students' attitudes toward engineering. Meta-affect (affect or cognition…

This paper explores student emotion and learning experiences fostered by lecturing-style instruction in Real-Analysis problem-centered lessons. We focus on two lessons that were taught by two reputable instructors and involved challenging, mathematically-related problems the students did not understand. Nonetheless, one lesson evoked negative…

Research shows that collaborative work promotes student learning and improves social skills, but teachers are still exploring how to best support problem-solving in a small group context, particularly in the science classroom. This study builds on prior research to characterise teacher interactions with small groups in secondary science and…

The Lawrence Hall of Science, a science center, seeks to replicate real-world engineering at the "Ingenuity in Action" exhibit, which consists of three open-ended challenges. These problems encourage children to engage in engineering design processes and problem-solving techniques through tinkering. We observed and interviewed 112…

The universities and faculties which educate teachers of mathematics for teaching pupils/students of any age group from pre-school age to higher education carefully monitor and compare valuable results of this research, detect the areas in which the mathematical achievements of pupils should be improved at the national level and propose the ways…

This document presents the proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of this conference is "Navigating Currents and Charting Directions." The theme reminds us that, although we are constantly pushed to account for the quality and impact of our research, we…