In a shop, the card reader is owned by the shop and is similar to point-of-sale card readers used in the USA. However, most banks now provide customers with a small reader (that looks like a calculator) for logging on to online banking, or authorising payments made via internet banking.
For example, to authorise a payment you: put your card into the reader, type in the account number you want to pay, type in the amount, and type in your pin. You then get an cryptographic authorisation code to type into online banking.
Crucially, the scheme works using cryptography, and the cryptography is performed within the chip on the bank card - it is not possible to read the PIN off the card.
(edit: and, in contrast to the scheme described in the parent post, stealing a card doesn't help much if you don't know the PIN, and the card will disable itself if the wrong PIN is used too many times)