WEEK 1 · WEEK 2
面向初一–高三学生的两周岛上学习路径
全营分为两类学生与两周课程：第一周面向约 300 名优秀学生， 第二周面向 30 名精准选拔的高水平学生，由丘成桐先生和其他数学、音乐大师亲自授课。
第一周帮助更多学生看见「数学 + X」的广度，第二周则在小规模环境中追问问题的深度；
两周都在同一座海岛上进行，与菲尔兹奖得主和大师们共同生活与思考。
一、第一周：300 名优秀学生的主题学习周
第一周主要面向在学校表现优异、对数学和跨学科领域有浓厚兴趣的学生， 通过连续七天的主题安排，让学生在不同角度下观看数学。
Day 1：开营 · 丘成桐院士的数学人生 + 电影《美丽人生》
- 上午：开营仪式与岛上安全说明，认识导师与助教团队。
- 下午：丘成桐院士主题分享——个人成长经历、数学研究之路以及对年轻人的期待。
- 晚上：集体观影《美丽人生》（Life is Beautiful），并由导师带领简短讨论： 如何在困境中保持尊严与幽默，数学与人生选择有何相似之处。
Day 2：数学与编程 · 用人工智能写数学程序
- 介绍编程与算法思维的基本概念；
- 演示如何利用人工智能辅助撰写数学程序，例如数论小实验、几何可视化等；
- 学生分组完成一个小项目：设计并调试一个与数学相关的程序（难度按年级分层）。
Day 3：数学与音乐 · 从和声到结构
- 音乐家与数学老师联合授课：节奏、和声、对位与数学模式之间的联系；
- 现场音乐示范与「听觉实验」，让学生感受不同结构带来的心理体验；
- 学生尝试用简单的数学规则生成旋律，或为一段音乐设计「数学说明书」。
Day 4：数学与金融 · 风险、收益与不确定性
- 用中学生能理解的语言介绍利率、复利和基本概率；
- 通过简单的模拟游戏体验「预期收益 vs 风险」；
- 讨论金融世界中为什么需要严谨的数学，以及金融数学大致在做什么。
Day 5：数学、量子计算与航天
- 介绍量子计算的基本概念（量子比特、叠加、简化版算法直观）；
- 讲解航天飞行、轨道计算与控制背后的数学思维；
- 通过简化模型与可视化工具，帮助学生理解「数学如何让航天器抵达正确的地方」。
Day 6：结业展示 · 编程作品、音乐晚会与篝火烧烤
- 学生分组展示自己的数学编程作品或跨学科小项目；
- 岛上音乐晚会：有学生演出、也有音乐家即兴演奏；
- 篝火烧烤活动：导师、学生一起在岛上围着火堆聊天，回顾这一周的收获。
Day 7：离岛 · 带着问题回家
- 上午进行简单的总结仪式与合影；
- 发放结业证书与导师寄语卡片；
- 学生按批次离岛返程，带着尚未解决的问题继续思考。
我们希望，每一位学生离岛时，都能清楚地说出：这一周我遇到了哪些人、
看到了哪些可能、我想在未来几年里认真追问哪一两个问题。
二、第二周：30 名高水平学生的精英研究周
第二周从参与第一周的学生中，选拔约 30 名在数学思维、创造力或潜力方面表现突出的学生， 进入更高强度与更小班的学习环境。
1. 授课与交流形式
- 大师小班课：由丘成桐先生与其他数学大师、菲尔兹奖得主轮流授课， 讲解他们真正关心的数学问题，以及如何从高中阶段一步步走近这些问题。
- 问题工作坊：学生被鼓励带来自己在课本或竞赛中遇到的「未解决问题」， 与导师一起思考其背后的更大图景。
- 音乐大师课堂：音乐大师分享自己如何通过音乐理解结构、节奏与情感， 并与数学大师一起讨论「形式与美感」的共同点。
2. 晚上：与院士共进晚宴
- 精英营期间，会安排若干次小规模特别晚宴，由院士和大师分桌与学生共进晚餐；
- 学生可以在轻松环境中提问：如何选择大学、如何在迷茫期坚持、科研生活是什么样子；
- 晚宴不录制、不直播，鼓励真诚对话与长期关系建立。
3. 精英营结束
第二周结尾，学生将与导师共同梳理各自未来 3–5 年的学习计划， 有些学生可能得到长期跟进的建议甚至研究方向上的引导。
精英营选拔说明（概念性）：
· 精英营资格不单独报名，从第一周优秀营中产生；
· 评估将综合课堂表现、问题意识、小组合作与导师推荐；
· 被选中的 30 名学生将获得第二周继续留岛的邀请。
查看学生 & FAQ 页面
· 精英营资格不单独报名，从第一周优秀营中产生；
· 评估将综合课堂表现、问题意识、小组合作与导师推荐；
· 被选中的 30 名学生将获得第二周继续留岛的邀请。
查看学生 & FAQ 页面
WEEK 1 · WEEK 2
Two-week Learning Path on Changqin Island
The program is divided into two cohorts and two weeks: Week 1 for about 300 outstanding students, and Week 2 for a 30-student elite group taught directly by Professor Shing-Tung Yau and other masters in mathematics and music.
Week 1 focuses on breadth—showing many “Math + X” possibilities.
Week 2 focuses on depth—working closely with leading mathematicians
and musicians in a small-group setting, on the same island.
1. Week 1: Thematic Week for 300 Outstanding Students
Week 1 is designed for students who perform well at school and are curious about mathematics and cross-disciplinary topics. Each day has a clear theme.
Day 1: Opening · Professor Yau’s Life in Mathematics + Film “Life is Beautiful”
- Morning: Opening ceremony, safety briefing and introduction to the island and teaching team.
- Afternoon: Keynote by Professor Shing-Tung Yau on his personal journey, mathematical research process and advice for young people.
- Evening: Screening of “Life is Beautiful”, followed by a short discussion: how to keep dignity and humor in hardship, and what this means for choosing a path in life and mathematics.
Day 2: Mathematics & Programming · Using AI to Write Math Programs
- Introduction to basic ideas in programming and algorithmic thinking;
- Demonstration of how AI can assist in writing small math-related programs (number theory experiments, geometric visualizations, etc.);
- Students work in groups to design and debug a simple math program, with difficulty adjusted by grade level.
Day 3: Mathematics & Music · From Harmony to Structure
- Joint session by musicians and math teachers: rhythm, harmony, counterpoint and their links to mathematical patterns;
- Live musical demonstrations and “listening experiments” to feel how different structures change our perception;
- Students try to generate melodies using simple mathematical rules or write a “math description” for a piece of music.
Day 4: Mathematics & Finance · Risk, Return and Uncertainty
- Explaining interest, compound interest and basic probability in a student-friendly way;
- Simple simulation games to experience “expected return vs. risk”;
- Discussion of why rigorous mathematics is needed in finance and what mathematical finance roughly studies.
Day 5: Mathematics, Quantum Computing & Space
- Intuitive introduction to quantum bits, superposition and basic ideas of quantum algorithms;
- Overview of how mathematics underlies spaceflight, orbits and control;
- Use of simplified models and visual tools to show how mathematics helps spacecraft reach the right destination.
Day 6: Closing Presentations · Coding Showcase, Music Evening & Bonfire BBQ
- Group presentations of math coding projects or cross-disciplinary mini-projects;
- Island music evening: student performances and improvisations by musicians;
- Bonfire BBQ: students and mentors share stories around the fire, reflecting on what they have gained during the week.
Day 7: Departure · Leaving with New Questions
- Short closing ceremony and group photos;
- Certificates and personal message cards from mentors;
- Students depart in groups, carrying home questions they now want to think about for a long time.
We hope each student can clearly say on the way home:
which people they met, which possibilities they saw,
and which one or two questions they want to pursue in the coming years.
2. Week 2: Elite Research Week for 30 High-level Students
In Week 2, about 30 students are selected from the Week-1 cohort based on mathematical thinking, creativity and potential, and continue on the island in a more intensive, small-group setting.
1. Teaching & Interaction
- Master Classes: Professor Yau and other leading mathematicians and Fields Medalists give small-group lectures on questions they truly care about, and how one gradually approaches them from the high-school level.
- Problem Workshops: Students are encouraged to bring unresolved problems from textbooks or contests and discuss the larger picture behind them.
- Music Master Sessions: Renowned musicians explain how they understand structure, rhythm and emotion through music, in dialogue with mathematicians on form and beauty.
2. Evenings: Special Dinners with Professors
- Several special dinners are arranged, with professors and masters sitting at small tables with students;
- Students can ask about choosing universities, dealing with confusion, and what everyday research life looks like;
- Dinners are off-record and not streamed, to encourage honest and personal conversations.
3. Closing the Elite Week
At the end of Week 2, each student works with mentors to outline a personal 3–5 year learning plan. Some students may receive long-term guidance or suggestions on future research directions.
Elite Week Selection (Conceptual):
· No separate application; selection is from Week-1 participants only;
· Evaluation considers in-class performance, problem awareness, teamwork and mentor recommendations;
· Selected students will be invited to stay for Week 2 on the island.
See Students & FAQ
· No separate application; selection is from Week-1 participants only;
· Evaluation considers in-class performance, problem awareness, teamwork and mentor recommendations;
· Selected students will be invited to stay for Week 2 on the island.
See Students & FAQ