In The Nature of Existence [Volume II: Reality - 1988 paperback edition, p.10] McTaggart distinguished between two senses of time:
The A-Series, to 'that series of positions which run from the far past to the near past, to the present, and then to the near future, and to the far future, or conversely'.
And to the B-Series, which runs from 'earlier to later, or conversely'.
I'm having some difficulty in distinguishing these two senses; and the unhelpful names do not help either, other than exemplifying that they are series ie ordered.
I'd suggest that the A-Series identifies the present, and then from the present identifies the past and the future; this is generally how we identify time in our daily life ie
I will meet you tommorow
later, man, later
Did you watch the game yesterday?
And that the B-Series is like the mathematical notion of time in that the whole of time is there, in a sense; and we can identify one event from another as being earlier or later, or even simultaneous; and this is the time generally used in history
in 1789 the French Revolution happened
In 1831 the Indian Act was signed
Of course, historical time does not extend to the future; as events haven't happened yet; but some of course are planned
The Football World Cup of 2020 will take place in ...
Are these the correct interpretation of McTaggarts two senses of time; and what was the problematic the identified?