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In this paper, we propose novel transdisciplinary STEAM practices to enable students and teachers to model architecture using technology. Architectural modelling can foster students' mathematical knowledge and computational thinking while connecting them to other disciplines such as culture and history. Our study focuses on enabling architectural, cultural, and historical diversity in educational practices. Moreover, the study tries to foster participants' modelling skills and innovative technology use as augmented reality and 3D printing. Thus, this paper will describe three case studies from Austria, Libya, and Indonesia and how these STEAM practices were used in different ways to allow participants to express their diversities through modelling diverse architectural constructions cross-culturally. We followed a qualitative data analysis approach for the participants' interviews, questionnaires and artefacts including architectural modelling, disciplines connections and lesson plans. The data analysis resulted in emerging themes emphasizing STEAM practices' possibilities to connect architecture to culture and history and highlighting the participants' cultural diversities in each of the three case studies.