Learn about the local history of Fuencaliente when you spend time at Pinturas Rupestres La batanera. While you're in the area, wander around the parks.
Learn about the local history of Almodovar del Campo when you spend time at Church Nuestra Señora de la Asunción. Take in the museums while you're in the area.
If museums are on your list of things to see in Puertollano, then you might want to head to Puertollano Mining Museum. If you want to experience more of the culture Puertollano has to offer, head to Plaza de Toro.