Jordan is a muslim country and although it's a relatively progressive society, local people don't generally wear short pants. Male tourists may wear shorts outside of religious and government buildings but female travellers in Amman should prepare for travel in Jordan as they would in any Muslim country. Respect for local tradition and custom by covering skin where possible. In the summer, bring clothing with light, breathable material. In the winter, a heavy sweater and jacket is recommended. Hats and gloves might be needed if you venture outside of the city.