In this chapter we lay out the principles of an approach to teaching and learning science based on student generation, negotiation and refinement of representations in a guided inquiry process. We first tell the story of how we developed this perspective, building on Chapters 1 and 2, and the research approach that led to these principles. The principles of the representation construction approach are described, then exemplified using detailed analysis of parts of classroom learning sequences on force, and substances. We then give examples of teacher responses and beliefs, and finally provide evidence of student conceptual, and meta-representational learning, from this approach.