The teaching philosophy of a candidate for an academic position is a written statement of the candidate's general personal views on teaching. College

College

A college is an educational institution or a constituent part of an educational institution. Usage varies in English-speaking nations...

s and universities

University

A university is an institution of higher education and research, which grants academic degrees in a variety of subjects. A university is an organisation that provides both undergraduate education and postgraduate education...

that advertise a position whose duties require teaching often require the applicant to submit a teaching philosophy with the application. The philosophy statement often attempts to express what methods of teaching the candidate practices.