some vampire take what they had little of when they were human and they get that "sixth sense" stronger after bacomeing a vampire. like jasper could influence people really well and tell what they were feeling kwa their body lanuage, edward could get a sinse of what people were thinking, but not fully, and alice could guess really well and bella had something weird where the "gifts" that Wanyonya damu had that had to do with the mind au hullucinations didnt effect her, so when she became vampire she learned how to spread that "sheild" around others. but she wouldnt have been able to spread it when she was human. in the vitabu they describe it as a sixth sense.
They all had some ability when they were human. Edward always had what was referred to as "charisma," Alice saw things before she was human, that's why she was sent to the mental hospital where she was changed, and Jasper could influence people while he was human.
When they became vampires, their powers got zaidi strength. Like, before Jasper was a vampire, he was able to convince people to go to his side. Now, he can influence people (and other vampires) to change their feelings.
its not all Wanyonya damu that have special abilities..normally they just have super strength,speed. but some like alice,edward,jasper and others have something more.. eleazar explained that some of them already had this ability in some raw form when they were human.. and it is accentuated in their vampire life.. it is alisema that,alice for instance may have had precognition in her human life,thats why her parents put her in an asylum..that is probably why she can see the future.. jasper already had a way of convincing people,making them go his way when he was human.his father called that charisma,but yeah he know better now.haha..thats how he became the youngest major of his time. and edward could probably already sens what people were thinking.=)