10. Dialogue in Eternity

This chapter aims to discuss the connection between landscapes of investigation and dialogue shown through interactions amongst children in mathematics classes in the early years of elementary school. The characters Socrates, Lakatos, Galileo, Skovsmose and Carolina meet in eternity to comment on the relationships between landscapes of investigation and dialogue in mathematics education. Thus, this chapter is a fictitious dialogue in which the reader will encounter a dialogical text where Carolina will introduce some examples on children’s interaction in a landscape of investigation. The dialogue involves children from Grade 3 and Grade 5 mathematics classes in a public school in the state of São Paulo, Brazil.