Re: (teach) Differences Between American and British Grammar

 >'Present progressive Tense' but in the UK, they say the 'Present Continuous Tense'>

I've used both terms, and in the same lesson.  I just stress that for that tense, the main verb is used in present participle (ending in -ing), and that an auxiliary verb for this tense, the verb 'to be', is used in the simple present tense.  So, 'I am walking' is the present progressive or present continuous tense of 'walk'.
Nelson Bank

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