On Using Art of Problem Solving Textbooks
Students and parents often ask whether we recommend Art of Problem Solving (AoPS) textbooks. Our answer is yes, but with some important conditions. We suggest that students get most of their books (with the exception of Calculus), but should use them strategically.
AoPS is the leading publisher of math curricula for gifted students, with a particular focus on math competition problems. It is well-liked in many communities, but opinions are mixed among Chinese teachers. In general, we believe their textbooks offer a strong collection of problems, but the explanations of concepts and methods could be improved.
We primarily use Art of Problem Solving (AoPS) textbooks for their extensive problem sets. In our pre-recorded videos, we offer more concise and clear explanations of foundational concepts and methods, which we consider the "soul" of mathematics. The content is presented within a more rigorous, intuitive, and clean framework, covering every example in each section, as well as the challenge problems at the end of each section and chapter. The videos also include necessary corrections to the text, along with supplementary materials that expand on the book’s content, emphasize real-world applications, and highlight connections to higher-level math. Our live lectures delve deeply into various topics, using a research-oriented instructional approach that fosters interest, creativity, and mathematical expression.
Our balanced approach prioritizes a deep understanding of concepts and methods, integrating problem-solving, research thinking, and real-world applications. We focus on fostering lifelong learning, using competitions as just one tool to inspire curiosity and develop critical thinking for long-term success.
Dr. Xue
February 9, 2025
Disclaimer: Our school is not affiliated with any publisher or learning center. I’m not always right, but I hope these thoughts provide a solid starting point for insightful discussions.
