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It is important to recognise that technical language (such as in use in mathematics) is designed to help *those already inside the subject*, and not those who are trying to get in. Learning proper terminology and learning proper concepts are not necessarily best done simultaneously. #UKMathsChat

Old post but pinned so i ll go with my opinion. I would say saying terminology is unnecessary for novice is, to make an anology, "demagogic". Yes of course, concept, but I'd say even more so, developping intuition is crucial. And, btw, intuition is the real language that you cannot speak.

Ah, but I'm not saying that terminology is unnecessary for novices. I'm saying that we should consider carefully when we introduce it and try to do so in a manner that aids learning, not inhibits it.

You'll be suggesting that I think about my teaching next...