I'm currently working into getting some school related vocabulary and I found out (not sure if correctly) that most of the words seem to be conjunctions of two or more simpler words.
For example:
school: がっこう (がく)
school student: がくせい
college/university: だいがく
college/university student> だいがくせい
Also the word teacher (せんせい) also ends with せい. So I'm concluding that せい is something like "who belongs to". I've read that だいがく literally means big school, so I'm guessing だい is the word for big.
I get even more of these already familiar words as I continue to assimilate more vocabulary. Take math's homework as an example:
すうがく の しゅくだい
Assuming that I'm correct, the word for math is associated with school and homework for something BIG? I've never seen any other word with すう or しゅく so I can't figure what exact meaning it could have.
Am I right about the construction of these words? And if I am, are most words in japanese built like this?