Current amp vs Voltage amp

Two different topologies with different intent. There are arguments for and against both technologies. Not having a electronics background I'm tying to get a clearer understanding.

Speaker matching including impedance and power requirements: how does one match 1:1 :: amps:speakers? General rule of Higher sensitivity benign/high impedance to tubes, and, low medium/sensitivty variable impedance to SS (considering they can be of higher power rating)?

This is not to see which is best, but to better understand the process of matching components.