Sponsorship: Involves nominating the mentee for career/academic opportunities. (in TII, if you know your mentee very well and can vouch for him/her, perhaps you could suggest/recommend her name to some of your contacts for career or academic opportunities)
Networking, Exposure and Visibility: Involves assigning responsibilities that allow the mentee to develop relationships with key figures in the school/organization who may be able judge the mentee for further advancement. (in TII, this would take the form of say suggesting contact persons to your mentee to further their conversation on a specific topic of interest)
Coaching: Involves enhancing the mentee's skills, as well as knowledge and understanding of how to navigate effectively in the academic/corporate world, and build skills to achieve work/academic objectives. (in TII, perhaps you are teaching someone how to solve a particular math or stats problem, like Jaineels' recently noted experience, or teaching them creative writing skills, like Vijay, etc.)
Protection: Involves shielding the mentee from untimely or potentially damaging contact with other seniors. (in TII, i am not sure how much a mentor would engage in this, unless both mentor and mentee are currently in the same organization or school, or knows someone in TII that the mentee should definitely not interact with)
Challenging Assignments: Involves assignment of challenging work, supported with technical training and ongoing performance feedback to enable the mentee develop specific competencies and to experience a sense of accomplishment in a student/professional role. This would go hand in hand with coaching. (in TII, you could probably give your mentee a problem to solve, a topic for a creative writing paper, or a film to critique, or a business plan to come up with, as assignemnts that you would evaluate and give them pointers to improve on).
Psychosocial behaviors: Behaviors that enhance mentee's sense of competence, identity, and effectiveness
Role-Modeling: Involves the mentor consciously or unconsciously
setting a desirable example for the mentee to identify with. (in TII, related to our earlier discussion on self-disclosure, how you project yourself, and what information you share about yourself on personal and professional fronts has implications for how effective your role-modeling behaviors are).
Acceptance and Confirmation: Involves providing support and encouragement to the mentee to experiment with new behaviors.
Counseling: Involves providing a safe forum for the mentee to explore personal concerns that may interfere with a positive sense of self in the academic or work setting and in academic/career advancement.
Friendship: Involves mutual liking and understanding and enjoyable informal exchanges about work and outside-work experiences.