We present the central articulation of a research project proposed jointly between the research groups led by Gelsa Knijnik, Universidade do Vale do Rio dos Sinos, São Leopoldo, Brazil; Gloria García, Universidad Pedagógica Nacional, Bogotá, Colombia; Malin Ideland, Malmö University, Malmö, Sweden; and Paola Valero, Aalborg University, Aalborg, Denmark. The paper is structured in three sections: the first one explains the setup of the project, the second one, its theoretical framework, and the last one indicates the main issues, the methodological procedures and the analytical research strategy. Our intention is to generate a discussion of the current ways in which we are thinking of the political in mathematics and science education practices.