This introductory chapter presents general lines of thought that guided the compilation of the contributions of this volume. The idea of 'challenge' from the title of this chapter sets the tone, as this introduction will outline the challenges that both global and local contradictory conditions represent for schools and the education of teachers, which are closely linked fields. Perspectives focus on the world growing closer together in viral, climatic, political, economic and cultural processes of globalisation, and their significance and impact on the national constitution of schools as a central institution of formal education which exists almost everywhere in the world. The chapter then discusses pedagogical concepts that claim to adequately take into account transnational and migratory processes of change. Finally, it concludes with some suggestions for a further discussion of schools and teacher education in transnational relations of contemporary migration societies.