Hans Freudenthal Quote

Our mathematical concepts, structures, ideas have been invented as tools to organise the phenomena of the physical, social and mental world. Phenomenology of a mathematical concept, structure, or idea means describing it in its relation to the phenomena for which it was created, and to which it has extended in the learning process of mankind, and, as far as this description is concerned with the learning process of the young generation, it is didactical phenomenology, a way to show the teacher the places where the learner might step into the learning process of mankind.


p. ix - The Concept and the Role of the Model in Mathematics and Natural and Social Sciences (1961)


Our mathematical concepts, structures, ideas have been invented as tools to organise the phenomena of the physical, social and mental world....

Our mathematical concepts, structures, ideas have been invented as tools to organise the phenomena of the physical, social and mental world....

Our mathematical concepts, structures, ideas have been invented as tools to organise the phenomena of the physical, social and mental world....

Our mathematical concepts, structures, ideas have been invented as tools to organise the phenomena of the physical, social and mental world....