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For questions related to teaching mathematics. For questions in Mathematics Education as a scientific discipline there is also the tag mathematics-education. Note you may also ask your question on http://matheducators.stackexchange.com/.

78 votes

What are the most misleading alternate definitions in taught mathematics?

A simple example is the two definitions for independence of events: A and B are independent iff $P(A\cap B) = P(A)P(B)$ A is independent from B iff $P(A\mid B) = P(A)$ Some presentations start wit …
34 votes

What are the most misleading alternate definitions in taught mathematics?

Another simple example is the definition for equivalence relations: R(.,.) is an equivalence relation iff R is reflexive, symmetric, and transitive. R(.,.) is an equivalence relation iff there exist …