1) From - http://nextwave.sciencemag.org/cgi/content/full/1998/03/29/212

This statement provides a summary of your research accomplishments and
current work and discusses the future direction and potential of your work.
The statement can discuss specific issues such as funding history and
potential, requirements for laboratory equipment and space, and potential
research and industrial collaborations. It should be technical, but should
remain intelligible to any member of the department. Because it has the
potential to be read by people outside of your subdiscipline, the "big
picture" is important to keep in mind. The strongest research statements
present a readable, compelling, and realistic research agenda that fits well
with the needs, facilities, and goals of the department. Research statements
can be weakened by overly ambitious proposals, by lack of clear direction,
by lack of big-picture focus, or if inadequate attention is given to the
needs and facilities of the department or position. 


From - http://www.gps.caltech.edu/academics/gradhandbook/academicjob.html 

Write a research statement. This statement will be a thoughtul essay about
your (past &) current research interests and accomplishments and your future
exciting (but realistic) research goals. The goal of this statement is to
convey your research accomplishments and interests to a large range of
people (inside and outside of your field) to get them excited about you. 







TEACHING INT - From - http://nextwave.sciencemag.org/cgi/content/full/1998/03/29/212

The Statement of Teaching Interests 

This statement provides a summary of your teaching experience and subject
matter expertise. It may discuss the courses and areas you are qualified to
teach. Some applicants discuss pedagogy (teaching techniques and
methodologies), especially if they have experience teaching with particular
tools, such as computers, or teaching particular classes of students, such
as those with disabilities. The strongest teaching statements demonstrate a
depth and quality of teaching experience, an interest in teaching
commensurate with the goals of the department and school, and clear
competency in the subject matter areas specified in the job description.
Teaching statements can stray by failing to provide specifics on subject
matter expertise, excessive pedagogical philosophizing, or failing to
demonstrate sincere commitment to teaching (especially for applicants with
research-oriented training).