Primary education for all seems on the way to being achieved throughout the world within a couple of decades, despite the deep inequalities and lack of resources that remain. Science education at an elementary level, during the first years of school, should now be considered as essential to the cultural, civic, ethical, economic and technical development of humans and societies, in a context of globalization, as the triad ‘reading–writing–arithmetic’ has been during the two last centuries. Yet current education practice – which often characterizes science lessons in developed countries as well as in developing ones, when they exist at all – is quite unsatisfactory, as it is more concerned with transferring knowledge of facts than with scientific literacy, and misses the goal of capacity building. New developments in the last decade, based on inquiry pedagogy and often proposed or led by science Academies, have demonstrated another way to communicate science, and to involve and train teachers. In France, the United States and Sweden, but also in China, Brazil and Egypt, the results of this new approach have led to great hopes for transformation, fully supported by science academies. In Europe, a recently implemented EU programme aims at similar goals, in the spirit of the Lisbon objectives toward a society of knowledge.