Question

Where are you going?

Where are you going? 的回答是 I'm going to the school, 还是I'm goint to school.
What are you going to do? 的回答是 I'm going to the school, 还是I'm goint to school.
两个问句的答案是一样，还是有区别？

Answer 1

可以简单地将go to school理解成做一件事，
将go to the school理解成去一处地方，
第一个school为事件概念，第二个位空间概念，
同样思路，in hospital和in the hospital表达两个不同的意思，如二楼所说。
提醒一句，不管用不用the，英语本族人都很少回答说“I'm going to (the) school”，因为这很啰嗦，很不自然，有点像在背教科书。一般他们只说“To (the) school”就行了，故上面两问题的回答分别是：
1.
——Where are you going?
——To the school/ the museum/ the library.
2.
——What are you going to do?
——To school/ dance/ swim/...

Answer 2

有区别。第一句回答应该是I'm going to the school.翻译过来是“你要去哪？”“我去学校。”第二句回答是I'm going to school.翻译过来是“你现在准备干什么？”“我准备去上学。”这里going to 是“将要做”“准备做”的意思，school作为动词“上学”理解。

Answer 3

是 I'm going to the school
因为What are you going to do是问你要做什么职业.
又如;I am going to hospital. 我要去医院（我生病了）
I am going to the hospital.我要去医院（我要去医院上班）

Answer 4

Where are you going? 的回答是
I'm going to the school.
What are you going to do?
的回答是I'm goint to school.
go to the school是去学校的意思,而go to school是去上学

Answer 5

I'm going to the school是“我去学校。”
I'm going to school.是“我准备去上学。”