You can learn a lot about scientific advances from taking a tour of a medical institution. Check to see if John Paul II Hospital is open to visitors while you're in the area.
You'll find John Paul II Hospital in the farming district of Pradnik Bialy. It's free to enter, so you can leave your credit card safely in your bag. While you're in the area, why not check out a few other worthwhile sights, such as Main Market Square, Wawel Castle and Oskar Schindler Factory?