The article aims at raising the problem of culture in the context of globalisation, at characterising influence of globalisation and globalisation culture on human values and relation as expression of their spiritual world. In this context, a question of intermediary communication influence on individual’s spiritual becoming is also raised. On the basis of own research data, the author defines peculiarities of internalisation level of upper secondary learners’ spiritual values, observed in 1998, 2001 and 2005. On the basis of comparison, information regarding cognitive, emotional and behaviour level of internalisation and tendencies of its changes are analysed. The possibilities of teaching process, as a relevant factor of education, internalising values are concretised and the role of mathematics in this process is defined. Key words: globalisation, culture, values internalisation, teaching process, mathematics.