If you could live on the moon through one lunar cycle, how you would experience the phases of the moon?

Wherever you're sitting on the moon, the sun would be up and shining on you for about two Earth weeks, then the sun would be down and you would be in pitch dark for the next two weeks. You would have no idea of the "phases", because they're only visible to someone on Earth. BUT . . . If you really knew what's what, you could always know what moon phase people on Earth are seeing right now ... but you would need to be somewhere on the side of the moon that always faces Earth. Then, the Earth would always be in your sky, and IT would go through phases for you ! And you would know that the Earth phase you're seeing is exactly the same as the moon phase that people down there are seeing, only BACKWARDS ... the section of the Earth that's DARK for you is the same shape as the section of the moon that's LIGHT for the people down there. Is that cool or what !