In this conceptual study, we explore the incorporation of computational thinking (CT) within integrated Science, Technology, Engineering, and Mathematics (STEM) education, aiming to enhance the Technological Pedagogical Content Knowledge (TPACK) framework for teacher professional development. Despite the fundamental role of mathematics in K‐16 and engineering education, its theoretical and practical dimensions in a transdisciplinary STEM context and its interlinks with CT remain underexplored. This gap extends to the professional development of teachers in research‐oriented STEM environments, which presents significant challenges. The study aims to address these issues by repositioning cognitive‐adaptive competencies such as CT and design thinking (DT) as a crucial enabler for STEM teacher professional competency, advocating for a move beyond normative approaches. We comprehensively analyze the integration efforts of CT in STEM, which often rely on declarative definitions without substantive practical implications. The study poses questions on (1) how CT can be effectively integrated into STEM, (2) the characteristics of the normative‐adaptive model for teacher education, and (3) the development of a conceptual educational framework focused on mathematical modeling, simulation design, and student engagement in research. Drawing on innovative educational practices, we scrutinize the integration of CT and DT through examples from mathematics, emphasizing the importance of developing computational models and algorithms. Ultimately, we propose a competency‐centered normative‐adaptive‐context aware model of STEM integration (NACAMS)‐TPACK model that enhances the classical TPACK framework by interlinking computational, design, and general pedagogical competencies. This study is particularly relevant for educators, policymakers, and researchers involved in K‐16 STEM and engineering education.