involvement(as it relates to concern and curiosity)

2. N-UNCOUNT

Involvement is the enthusiasm that you feel when you care deeply about something.

• Ben has always felt a deep involvement with animals.
  

... Cobuild

2. [U, C] (~ in/with sth) the act of giving a lot of time and attention to sth you care about

• her growing involvement with contemporary music 
  

... OALD

involvement - a sense of concern with and curiosity about someone or something; "an interest in music"

interest

enthusiasm - a lively interest; "enthusiasm for his program is growing"

concern - something that interests you because it is important or affects you; "the safety of the ship is the captain's concern"

curiosity, wonder - a state in which you want to learn more about something

... Thesaurus/WordNet3.o, http://www.thefreedictionary.com/involvement