[3rd person] は [xx expressed in たい-form, without い] がっています。
= [3rd person] wa [xx expressed in tai-form, without i) garimasu.
= [3rd person] want to [xx].
- He wants to go to Japan = kare wa nihon e ikitagatteimasu. = 彼は日本へ行きたがっています。(nihon = Japan)
- The child wants to play = Sono ko wa asobitagatteimasu. = その子は遊びたがっています。
*For more information on how to change the verbs to [tai-form], refer to Lesson 6.