In each connection with new cultural contexts a new hybrid state of cultural adaptation is constructed enabling people to adjust to new conditions by creating innovative solutions for the self. This book aims to provide a brief presentation of innovative cultural psychological theory of proculturation reflecting and oriented on the understanding of semiotic and developmental dynamics of higher mental phenomena while engaging alien signs through intercultural communication. The exploration and theoretical understanding of developmental dynamics (such as self and identity construction) of people who live in immigration or multicultural, or even multi-ethnic societies, the research builds its new focus in contrasts with the acculturation theories currently present in social psychology.