Matematiikan kuusi osaa: David Tallin matematiikan kolmen maailman viitekehyksen laajentaminen Juha Oikkosen matematiikan kaksilla kasvoilla

The three worlds of mathematics by David Tall provide a framework for studying mathematical thinking and its development. Extending the framework of three worlds by Tall with Juha Oikkonen’s ”two faces of mathematics” develops a new, broader framework in which certain aspects to research on learning mathematics (such as mini-theories) are included to form a larger entity. The framework, previously drafted by Oikkonen and more thoroughly analyzed in this article, has the power to explain, for example, the learning processes of individual mathematical concepts.