This collective book aims to encourage and inspire actions directed towards raising public awareness of the importance of mathematical sciences for our contemporary society in a cultural and historical perspective. Mathematical societies, in Europe and around the world, can find ideas, blueprints and suggestions for activities, including concerted actions with other international organizations, directed towards raising public awareness of science, technology and other fields where mathematics plays a strong role. The material is divided into four parts, national experiences, exhibitions / mathematical museums, popularization activities, and popularization : why and how?