Supporters of this trend believe (1) that learning any subject requires students to understand the basic structure of the subject. For example, from primary school, mathematics education should make clear the logical relationship, sequence structure and topological structure of children's mathematics. (2) Any knowledge of any subject can be given to people of any age in some form. (3) Let students think like mathematicians, and slowly guide them to discover various conclusions and laws.
The movement introduced advanced set theory, algebraic structure and topological structure into middle school and even elementary school mathematics, and made a joke that "students don't know how much 1+2 is equal, but they know 1+2=2+ 1 because the additive group on Z is Abel group".
The "New Mathematics Movement" not only trained a new generation of scientists and senior technicians, but also led to the overall decline of mathematics level. While teaching "Strict Mathematics" in the formal language of set theory, most young students can't even understand the simple addition, subtraction, multiplication and division used in daily consumption.
Dr. Jiangsu and the Bourbaki school have exactly the same idea, even more extreme. We are in infancy. By studying basic arithmetic through vivid but inaccurate explanations, we gradually understand what Euclidean geometry is and what variables are. Why introduce axiomatic system? What is n-dimensional vector space? Excellent students can realize that the real number system taught in middle school is not strict even in middle school. Every step of deepening mathematics learning requires students to have enough motivation to know why the mathematics building is built like this before learning (what are the considerations of mathematicians in history?
Dr. Jiangsu's educational method can be said to be "the emperor summoned the emperor." Children can't understand the motivation of every step, nor can they catch such a huge concept falling from the sky. The final result is bound to be learning failure or even weariness (thinking that mathematics is an untouchable subject) and even depression.