Mathematician Daniel Litt argues that while AI can now solve world-class math problems, the true value of mathematics lies in human understanding, not just theorem production, reshaping research, education, and the field's future.
The article explores how the lives and habits of legendary mathematicians—from Euler to Zhang Yitang—illustrate the importance of curiosity, solitary deep thinking, embracing mistakes, interdisciplinary learning, and collaborative dialogue, offering timeless lessons for modern students seeking true mathematical understanding.
The article argues that middle school mathematics education should be viewed as teaching and learning mathematical models, emphasizing real‑world prototypes, active learning processes, and the reverse‑model method to foster deeper understanding and application skills.
Recently, Tsinghua University launched the Qiu Cheng‑Tong Mathematics Science Leadership Talent Program, recruiting up to a hundred top global middle‑school students annually without the gaokao, featuring a rigorous seven‑stage selection, a new academy, mentorship by leading scholars, and an eight‑year curriculum designed to produce world‑class mathematicians.
This lesson deepens students' understanding of function monotonicity by combining graphical and definitional methods to determine extrema and ranges, exploring quadratic and linear cases, parameter sensitivity, and the broader relevance of monotonic concepts in mathematics.
This article details a high‑school teacher’s step‑by‑step approach to explaining function monotonicity, comparing tabular, graphical, and definition‑based methods, sharing lesson design, classroom interactions, student responses, and reflections on improving instructional clarity and depth.
