In School

The gentlemen Dutch, English, Painter, and Writer are all teachers at the same secondary school. Each teacher teaches two different subjects. Furthermore:

• Three teachers teach Dutch language.
• There is only one math teacher.
• There are two teachers for chemistry.
• Two teachers, Simon and mister English, teach history.
• Peter doesn't teach Dutch language.
• Steven is chemistry teacher.
• Mister Dutch doesn't teach any course that is taught by Karl or mister Painter.

What is the full name of each teacher and which two subjects does each one teach?