In English, generally we say or write adjective + noun, like
the full moon or
Does order matter in Spanish, for instance Hablo un poco español vs. Hablo español un poco?
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Order, definitely, matters. Can be tricky to see with your example (Hablo un poco espanol vs. Hablo espanol un poco) since "poco" can work both as adjetive and adverb.
The other examples are easier. For "full moon" we would say "la luna llena", never, "llena luna" and for "brown dog" we would say "perro marrón", never "el marrón perro".
But here comes the tricky part. Could you actually see (or hear) "la llena luna" and "el marrón perro"? The answer is yes. Is that because the order or position of the adjetive in respect of the noun does not matter in Spanish? No.
The adjective can actually be placed before or after, but sometimes you can change the meaning by doing that, since the adjective will qualify the name in a different way.
The meaning does not change in "el perro marrón" vs. "el marrón perro". The appreciation may change though. More or less, a postponed adjetive gives you an "objetive" appreciation of the noun ("La casa pequeña", the house was small in size. "el coche amarillo", the car was in fact yellow) while an adjetive that precedes the noun is more likely to be a "subjective" appreciation ("la triste mirada", sounds more poetic and subjective than "la mirada triste". "El radiante sol").
Other times, the meaning changes dramatically, like "el viejo amigo" vs. "el amigo viejo". The later means that the friend is old in age. The former that the guy has been a friend for quite some times (but still could be young in age).
So, basically, "noun + adjetive" is used to stress a quality of the noun through the adjetive. "Adjetive + noun" remarks an "inherent" quality of that noun" (like, "la dura roca". All rocks are hard. The adjetive is remarking it. It not like I'm using the adjetive to qualify, like I would do to distinguish between two things (like, "la roca pequeña" vs. "la roca grande" or "El perro inteligente" vs. "el inteligente perro").