Learn Icelandic: Við þurfum að endurskoða skólakerfið.

Because of the V2 (verb-second) rule, putting the adverbial phrase auk þess at the beginning forces the subject and verb to swap places. The sentence would become: Auk þess þurfum við að endurskoða skólakerfið.

What are the parts that make up the verb endurskoða?

It is made of the prefix endur- (re-, again) and the verb skoða (to look at, to view). So literally, it means to look at again, which translates perfectly to review or revise.

Why is the definite article at the end of skólakerfið just -ð?

The compound word skólakerfi (school system) takes its gender from the final noun, kerfi (system). Kerfi is a neuter noun. Since it already ends in a vowel, the attached definite neuter article is just -ð rather than -ið, making it skólakerfið.

Does þurfa always require the infinitive marker að before the next verb?

Yes, when þurfa is followed by another verb to express needing to do something, you must use að plus the infinitive. Unlike English modal verbs (like must or should) which drop the to, þurfa functions like the English verb need and keeps the að.