In line with socioconstructivist works analysing the impact of social interactions on cognitive development, the present study discusses how to capture, describe, and analyse the emergent co-production of new ideas or creative cognitive solutions. After introducing the methodologies that are currently used in this field, we recall the relevance of pragmatic analyses of conversations. We then identify several possible methodologies for probing and finely analysing the emergence of children's new thinking, by cross-referencing third-person (i.e., from the researcher's point of view) and first-person (i.e., from the children's point of view, following an explicitation interview) analyses.