Argumentation and proof are widely studied in mathematics education in Europe and beyond at every level of the curriculum from primary school to university (Moutsios-Rentzos et al., 2023; Shinnno et al., 2024; Stylianides et al., 2024), including advanced university mathematics (Biehler et al., 2024; Durand-Guerrier et al., 2012). There are commonalities in how argumentation and proof are conceptualized, taught, and studied across these educational systems. However, there are also significant differences depending on when and how argumentation and proof are introduced as an official curricular topic, as well as from what perspective (e.g., as a tool or an object). This diversity creates rich research opportunities. 

This conference aims to expand the scope of topics even further by considering the need and the relevance for developing research on argumentation and proof in mathematics education in interactions with other disciplines. This has been a growing area of interest with studies examining argumentation in proof in mathematics with connection with other disciplines, such as Physics (Branchetti et al., 2022; Moutsios-Rentzos, 2023), Computer Science (Buchbinder et al., 2025; Durand-Guerrier et al., 2019), Biology (Hellgren et al., 2025),  Linguistics (Prediger & Hein, 2017), Philosophy (Hanna & Larvor, 2020; Hamami, 2025), and others.