Systematic perspectives on diverging mathematical orientations

Self-employment as atypical or autonomous work: diverging effects on political orientations

It is often held that the self-employed are an economically conservative, political right-wing class. Previous studies, however, have primarily dealt with self-employed workers as a relatively monolithic social class with shared interests as entrepreneurs and (potential) employers. But, with its recent rise, self-employment has developed into a heterogeneous employment type, with a growing numb...

Mathematical Perspectives

Mathematics and physics are different enterprises: physics is looking for laws of nature, mathematics is trying to invent the structures and prove the theorems of mathematics. Of course these structures are not invented out of thin air but are linked, among other things, to physics. In this lecture I shall discuss a number of instances where mathematicians have come to the aid of physics and st...

Mathematical Perspectives

MATHEMATICAL ENGINEERING TECHNICAL REPORTS Recent Results on Well-Balanced Orientations

In this paper we consider problems related to Nash-Williams’ wellbalanced orientation theorem and odd-vertex pairing theorem. These theorems date to 1960 and up to now not much is known about their relationship to other subjects in graph theory. We investigated many approaches to find a more transparent proof for these theorems and possibly generalizations of them. In many cases we found negati...

Perspectives on Mathematical Knowledge for Teaching

Citizens’ possibilities to develop intuition and mathematical ideas appear in modern society through instrumentation and instrumentalization: Technology does not only shape the actions of the users but also the mathematical objects to be investigated are shaped by the users. The constructivist viewpoint states that both making of mathematics and teaching of mathematics must relate to this instr...