Since its early manifestations in ancient civilizations, craftsmanship has always been a fundamental aspect of human ingenuity. Today, the integration of digital tools and computational methods has been introducing new possibilities for the craft process. From this perspective, this study aims to explore and understand the multifaceted nature of craftsmanship in contemporary computational design practices. To do so, the study first provides an overview of craftsmanship, scrutinizing its historical roots, transformations during industrialization, and its enduring relevance in the digital era. Then, a cognitive framework is proposed to understand the process of craft, emphasizing the rhythm of knowledge production, the interplay of problem-solving and problem-finding, and the concept of slow time in skill development. Through the lens of this framework, the main characteristics of craftsmanship in computational design practices are interpreted as openness, nonlinearity, and complexity. The study also highlights the role of tool-making and interdisciplinary thinking in enhancing craftsmanship in computational design practices. Nevertheless, the study critiques computational design practices that prioritize efficiency and functionality over exploratory and reflective processes, which may undermine the potential essence of craftsmanship.