Context: I am a PhD student in mathematics currently applying for tenure-track positions at small colleges throughout the US.
In general, most openings I've seen are asking for what they've termed a "Teaching Statement," while the remainder ask for a "Teaching Philosophy." Is there a difference between these two documents? If so, what is it?
I've posed this question to a wide variety of people (colleagues, panels, etc.), and they can't seem to arrive at a consensus. Some say that there is no difference whatsoever, whereas others say that a statement is supposed to be much more concrete and give more specifics than a philosophy.
I realize that this question was already addressed in some of the answers to this question, but I'd like to hear a little bit more detail, if possible.
They both are definitely different.
Teaching Statement consists of:
Statement of Teaching Interests. (Don't reproduce your CV)
1.1 Some history of your teaching
1.2 Institutions taught in, along with Courses
1.3 What do you love teaching? etc., etc.
Statement of Teaching Philosophy. (Don't reproduce your CV)
1.1 What do you think should be outcomes of your teaching?
1.2 What teaching methodology do you use? Pedagogy, means "leading children" or Andragogy means "leader of adult men". etc.
1.2 What technologies - OHP, Slides projector, Computer hardware and software; Conventional Blackboards, white boards or An interactive whiteboard (IWB) or Smart board? etc., etc.