A teaching statement should detail the underlying beliefs that inform the way you structure your courses and interact with students. When reading your statement, hiring committees will be looking to assess whether or not you can meet the teaching demands of the institution, if your teaching style aligns within the department, and how students will benefit from your instruction.
A research statement is a map for your career as a researcher, expanding on how you describe your research in your cover letter. A research statement should document a three- to five-year plan that lays out attainable goals.
In a diversity statement, you will draw on your personal background and past experiences to demonstrate your understanding of power, privilege, and the barriers to access faced by underrepresented populations.