Sticking with the amusement park angle:
What would the difference in gravity do to roller-coaster designs? How high could you make the BIG "Oh-my-freakin---aaaaiiiieeeee" and keep the tram velocity under 100kmh??
And, of course with transportation, being just a short hop away takes on a different meaning.
I exaggerated the basketball some.
I guess you could make your roller-coaster much grander in scale, but with .34 gravity it would not accelerate downward like an Earth roller-coaster.
Sports might be phenomenal, but most folks won't be able to perform at such levels. Outside activities on Mars, for the foreseeable future, will have to be in pressure suits, with air tanks.
Indoor could be different. Anyone could be a Johnny Weismuller swimmer on Mars, with his entire upper torso out of the water as he stroked across the river.
Transportation should be relatively easy to establish. Monorails could be set up with lighter structures.
I would think that most cities would be built underground. the "city that never sleeps" on Mars will not be worried about daylight.