The author introduces a definition of pedagogical innovation with reference to the reality of contemporary schools. The author discusses the main tasks of schools (in relation to the new core curriculum of general education in primary schools from 14/02/2017). She considers selected elements from the core curriculum of modern foreign languages at the second educational stage. Particular attention is paid to developing pupils’ skills of writing and social competence. Finally, she describes an example of pedagogical language innovation which has an international dimension. “Let's chat via Snail Mail” was implemented in primary schools of the Mazovian Voivodeship in grades IV–VII in the school year 2017/2018.