1.  attentiveness(n = noun.cognition) heed, paying attention, regard - paying particular notice (as to children or helpless people); "his attentiveness to her wishes"; "he spends without heed to the consequences"
is a kind of attending, attention
has particulars: advertence, advertency
Antonym: inattentiveness
Derived form adjective attentive₁

2.  attentiveness(n = noun.attribute) - the trait of being considerate and thoughtful of others;
is a kind of considerateness, consideration, thoughtfulness

3.  attentiveness(n = noun.attribute) - the trait of being observant and paying attention;
is a kind of trait
has particulars: carefulness, heedfulness, mindfulness, carefulness, caution, cautiousness, alertness, on the qui vive, sharp-sightedness, vigilance, watchfulness, weather eye, heedlessness, inadvertence, inadvertency, unmindfulness
Antonym: inattentiveness
Derived form adjective attentive₂

1.  the quality of paying careful attention; attentiveness to detail. [PJC]

2.  paying particular notice (as to children or helpless people). [WordNet 1.5]

3.  the trait of being considerate and thoughtful of others. [WordNet 1.5]