The monastic education system in the Gelug monasteries covers five major topics, based on five great Indian scriptural texts studied through the medium of logic and debate – "tsennyi" (mtshan-nyid, definitions) in Tibetan. During the course of study, monastics also learn the four Indian Buddhist tenet systems (grub-mtha’ bzhi): Vaibhashika (Bye-brag smra-ba), Sautrantika (mDo-sde-pa), Chittamatra (Sems-tsam-pa), and Madhyamaka (dBu-ma).
In Tibet, this education was only for monks. Since the reforms of the Fourteenth Dalai Lama in India, Gelug nuns are also beginning to follow this course of study. In Tibet, nuns mostly only memorized and performed rituals.
The five main subjects are as follows. Prajnaparamita (phar-phyin), far-reaching discriminating awareness, is the study of the stages and paths of mind (sa-lam) needed for the realization of voidness, liberation, and enlightenment. It is based on Filigree of Realizations (mNgon-rtogs-rgyan, Skt. Abhisamayalamkara) by Maitreya (rGyal-ba Byams-pa). Although Maitreya’s text is written from a Prasangika-Madhyamaka (dBu-ma thal-‘gyur-pa) viewpoint, its twenty-one Indian commentaries are written from the Svatantrika-Madhyamaka (dBu-ma rang-rgyud-pa) point of view, and most prominently its Yogachara-Svatantrika (rNal-‘byor spyod-pa’i rang-rgyud-pa) division.
Madhyamaka (dbu-ma), the middle way, is the study of voidness according to the Prasangika-Madhyamaka view. The Svatantrika division studied in conjunction with this is Sautrantika-Svatantrika (mDo-sde spyod-pa’i rang-rgyud-pa). Madhyamaka study is based on A Supplement to (Nagarjuna’s) "Treatise on the Middle Way" (dBu-ma-la ‘jug-pa, Skt. Madhyamakavatara) by Chandrakirti (Zla-ba grags-pa, dPal-ldan grags-pa).
Pramana (tshad-ma), valid cognition, is the study of the proofs for the validity of such essential points as the Three Supreme Gems, rebirth, and omniscience. It is based on A Commentary to (Dignaga’s "Compendium of) Validly Cognizing Minds" (Tshad-ma rnam-‘grel, Skt. Pramanavarttika) by Dharmakirti (Chos-kyi grags-pa). Several of its chapters are from the Sautrantika viewpoint and others the Chittamatra.
Abhidharma (mngon-par chos, mdzod), special topics of knowledge, covers the physical and mental constituents of limited beings, rebirth states, karma, disturbing emotions and attitudes, paths to liberation, and so on. It is based on A Treasure House of Special Topics of Knowledge (Chos mngon-pa'i mdzod, Skt. Abhidharmakosha) by Vasubandhu (dByigs-gnyen) and is from the Vaibhashika viewpoint.
Vinaya (‘dul-ba), rules of discipline, concerns the monastic vows. It is based on The Vinaya Sutra (‘Dul-ba’i mdo, Skt. Vinayasutra) by Gunaprabha (Yon-tan ‘od).
In addition, monastics study interpretable and definitive meanings (drang-nges) for further detail about the Chittamatra and Madhyamaka views. It is based on The Essence of Good Explanation Concerning Interpretable and Definitive Meanings (Drang-nges legs-bshad snying-po) by Tsongkhapa (rJe Tsong-kha-pa Blo-bzang grags-pa) (1357-1419).
All monastics must study these topics to at least some degree. They take turns, one month at a time, to care for the maintenance of the temples and other duties.
Source:
http://www.berzinarchives.com/web/en/archives/study/history_buddhism/buddhism_tibet/gelug/overview_gelug_monastic_education.htmlThis goes to show the importance of debating in the Buddhist tradition which gives so much substance to the teachings we receive and understanding of the teachings so that it is not just another "blind faith" situation but rather a true conviction of teachings which creates a stronger firmer faith that is immovable.