denomination or
(philosophical or religious) orientation

Denomination seems to refer primarily to religious aspects.

Under the denominational system of education, schools were designated as:

- Integrated (Anglican, Presbyterian, Salvation Army or United Church)
- Pentecostal
- Roman Catholic or
- Seventh-day Adventist
http://www.gov.nf.ca/publicat/educate/desig.htm

Single denomination schools for Chritians and Jewish students are fine to be funded by the state - but now we are told we should not fund Muslim single denomination schools (which only just started to be recognized and a very few started to be state funded).
Muslims are told everyone must integrate. Well how could a Muslim integrate if they are immediately excluded if they apply to a Christian or Jewish schools (ignoring the very few places "left aside" for other religions). Effectively, most Muslims are forced to go to comprehensives -- this is the modern apartheid in the UK : Most good schools are either Christian or Jewish denominated - and the Muslims are mostly excluded from these.
http://www.middleeastuk.com/dcforum/POLITICS/25.html

No child may attend a school which does not comply with the Civil Rights Act or which is not certified by the Department of Educational and Cultural Services or its counterpart in other states.
No child may attend a school with a religious orientation that is counter to the religious preference requested by the parents.
http://www.state.me.us/dhs/bcfs/policy/sect05/v__d_5__placem...

This site is intended to provide comprehensive information concerning the Department of Percussion Studies at the Moores School of Music, University of Houston. The various pages associated with this site will provide a comprehensive understanding of our pedagogical and philosophical orientation, the facilities we have made available to our percussionists, performing opportunities, and the process of applying for admission and auditioning for our program. We hope you enjoy your visit!
http://www.music.uh.edu/~bwilkins/home.html

See also http://www.proz.com/kudoz/687565