1. Curriculum Development & Planning
- Design a customized curriculum aligned with target competitions (e.g., IMO, APMO, SMO, AMC).
- Identify strengths and weaknesses in the student’s mathematical abilities.
- Plan a long-term roadmap from foundational topics to advanced Olympiad topics.
2. Teaching & Mentoring
- Conduct 1-on-1 or small-group lessons focusing on problem-solving strategies, abstract reasoning, and logical thinking.
- Teach key topics such as number theory, combinatorics, algebra, geometry, and inequalities.
- Instill mathematical rigor and encourage a passion for mathematics.
3. Practice & Feedback
- Provide weekly problem sets and mock tests with varying levels of difficulty.
- Mark and review answers in detail, explaining different solution methods.
- Track performance over time and adjust instruction accordingly.
4. Competition Preparation
- Prepare student for specific contests (local, regional, international).
- Simulate real competition conditions with timed tests.
- Guide student on contest techniques: time management, checking work, and avoiding careless errors.
5. Reporting & Communication
- Update parents regularly on student’s progress, challenges, and next steps.
- Suggest additional resources (books, online courses, camps).
- Coordinate with schools or other educators if required.