European programmes of design research have developed distinctive types of apparatus to structure and support the process of didactical design. This article illustrates how intermediate frameworks and design tools serve to mediate the contribution of grand theories to the design process, by coordinating and contextualising theoretical insights on the epistemological and cognitive dimensions of a knowledge domain for the particular purposes of designing teaching sequences and studying their operation. The development and analysis of intermediate frameworks and design tools of these types provides a promising approach to establishing a public repertoire of theoretically informed apparatus for didactical design.