[msla]

Yes, you could, because any natural language can be used to teach mathematics. Lojban is, like any notation, a convenience for people who understand the concepts, but the concepts can be expressed in a natural language just as precisely, albeit less concisely.

In fact, as Florian Cajori stated in his book "A History of Mathematical Notations", the rise of mathematical notation was opposed by people who preferred the older, natural language style of doing mathematics, what Cajori termed the "struggle between symbolists and rhetoricians."

So, yes, logic is mathematics, and humans did mathematics in natural language for a very long time before we invented the conlang of mathematical notation. Moving more of the ideas into what is, ultimately, a more expressive notation is not a fundamental shift.