mathematics
-
Is Math Invented or Discovered
There is a classical question that is quite entertaining: is mathematics invented or discovered? Most people (non-mathematicians) tend to think that math is invented, that is the outcome of the work of mathematicians. But mathematicians themselves often express the feeling that they are not inventing math but discovering what is already there. Recently, I read Continue reading
-
Teach AI to Think in Math
In our previous discussion on Why LLMs Aren’t Good at Math, we explored some limitations of large language models (LLMs) in mathematical reasoning. But what exactly makes math different from natural language skills like reading, writing, listening, and speaking? One insight is that “the essence of math is about symmetry.” Here, symmetry goes beyond just Continue reading
-
Teaching Math as a Second Language
Math is a language. It allows us to express ideas precisely and concisely, solve problems, or simply enjoy the fun of playing with patterns. Yet, traditional education often teaches math as a rigid set of rules, overwhelming students with exercises before they can connect with it meaningfully. What if we taught math as a second Continue reading
Sida Liu 