Once a week, members of a Wellington, New Zealand, book club arrive at a cafe, grab a drink and shut off their cellphones. Then they sink into cozy chairs and read in silence for an hour.

The point of the club isn't to talk about literature, but to get away from pinging electronic devices and read, uninterrupted. The group calls itself the Slow Reading Club, and it is at the forefront of a movement populated by frazzled book lovers who miss old-school reading.

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