"It's encouraging me to just put those devices back on charge, away, at the end of the lounge," said Lauren.
Another pupil, Isabella, said it was easy to "forget the benefits of just reading a book" when people tended to turn to their screens in their free time.
Mr Fillingham said he hoped the initiative, which covers smartphones and other screen-based devices, would help "create a lifelong love of reading" among pupils.
"Education is a balance - it's not all about being super prepared for a super-electronic future, we want creativity, we want innovation, we want children to get lost in a book," he added.
Under the scheme, pupils below sixth-form level can choose to read any fiction or non-fiction book and they are asked to share what they learn with their class.
Sixth-form students have been given reading material to support their A-level studies and upcoming decisions about their future.
"It has definitely helped me put my phone down," said Ethan, who was using the time to read articles about maths.
The government has stopped short of a legal ban on smartphones in schools, but it issued guidance last year to ensure that schools put restrictions in place.