加藤さんは、娘さんを　デザイナーに　したがっています。 Mr. Kato wants to make her daughter a designer. There are couple of things you have to pay attention: -「XはYになる」means "X becomes Y". If you use 「なる」, the subject must be 「娘」. 加藤さんの娘さんは　デザイナーになりたがっています。 Mr. Kato's daughter wants to be a designer. In your sentence, the subject is 「加藤さん」. -「XをYにする」means "make X (into) Y". -～たいです is good only when you are talking about yourself (or asking someone about him/herself). To express 3rd person's mind, you have to use ～たがっている（～たがる＋いる）or other indirect way. -To make it polite, use「娘さん」instead of just 「娘」。

The answer is したい。 加藤さん=Mr. Kato は=the case particle as a subject marker　 娘=(his) daughter を=a case particle as an object marker デザイナー=a designer に=the case particle for 'to', 'into', 'in' etc. したい=する(=make) + ~たい(=an auxiliary verb for "want to~" "wish to~") です= a copula Literally it translates to "Mr. Kato wants to make her daughter a designer". -------------------------------- なりたい = なる(=to be, to become) + ~~たい(=want to/wish to) なりたい would be used to say: Mr.Kato wants to be a designer. 加藤さんは、デザイナーになりたいです。or なりたがっています。

Neither. If you are not Mr.Kato's daughter you do use "-tai". I would use "-tegaru" meaning "appears to want". I use this because you don't really know if that person actually wants to. But I never use it with superiors, I just use a negative for them. (naru is better for this sentence) 加藤さんの娘はデザイナーをなりてがるです。(Mr.Kato's daughter appears to want to be a lawyer.) 加藤さんの娘はデザイナーをなりませんか？ (Isn't Mr.Kato's daughter becoming a lawyer?) I don't know if you were talking about his daughter, but that's what it sounds like.

したい 是 想做什么的意思，なりたい 是 想成为什么的意思，这样的话答案是后者