The aim of this summer school in the history of ancient mathematics was to give post-graduate students and early-career scholars in the domain an overview of a global history of ancient mathematics (that was, in our definition, a history ranging from the third millennium BCE till the fourteenth century). Our intention was to enable scholars involved in teaching the history of mathematics—or likely to be involved in the future—to include a world­wide perspective in how they teach the history of ancient mathematical sciences. The novelty of our summer school further lied in the fact that we also aimed to train the participants with new methods that were developed specifically to read ancient sources, and more widely to present perspectives and questions that have deeply revitalized this field, opening fresh venues for research in general. This summer school took a global perspective and involve researchers working on cuneiform, Greek, Sanskrit, Chinese, Arabic and Latin sources. It presented case studies that illustrate how new questions and methods could reopen what may have seemed finalised in standard historiographies of ancient mathematics.