As a reminder, this isn't directly about "mathematics" but "mathematics education". I don't see how you can talk about education without using concepts associat

As a reminder, this isn't directly about "mathematics" but "mathematics education". I don't see how you can talk about education without using concepts associated with pedagogy, which is "the theory and practice of learning, and how this process influences, and is influenced by, the social, political and psychological development of learners." (Quoting WP) Can you reframe my scenario with a framing you like? Teacher A wants students to learn principle X. Teacher uses method M to do so. Student B already knows principle X, via method N. Teacher says student's method N is wrong, because it isn't method M, and gives student B a poor grade. Student B becomes demotivated, and doesn't care so much about learning principles Y or Z. Teacher A wants students to learn principles Y and Z. What framing would you use to describe this situation? Do you think teacher A should change their teaching style? In the document I referred to, method M is the standard way taught in the US, method N is the standard way taught in another country, and student B is an immigrant child who learned method M from B's parents before teacher A taught it in class. In my scenario, method M is a very visual technique for multiplication used for early learners, and method N is the standard way taught to more advanced learners in the US.