Wonderingly
/ˈwʌndrɪŋli/
Definition 1 of 1
Pro Tip 1/3Reflective State
Indicates deep thought or absorption in what is observed or experienced. 
She touched the ancient text wonderingly, absorbed in its history.
Pro Tip 2/3Not Astonishment
'Wonderingly' implies gentle curiosity or pondering, not shock or overwhelming surprise. 
He listened wonderingly to the legend, his interest piqued.
Pro Tip 3/3Observational Context
Most commonly used when someone is observing something intently or thoughtfully. 
Children watched the magician wonderingly, trying to figure out his tricks.