Enquiry-based learning (EBL) "describes an environment in which learning is driven by a process of enquiry owned by the student.". (1)

The teacher becomes a facilitator, and collaboration is essential, both as a knowledge generating process, and in fueling further inquiry.

Although EBL is relevant to all disciplines, I would like to focus on history.

"Historians frame and build their historical research around problems emerging from a complex mix of personal and professional interests, unexamined and underexamined questions gaps in established literature and knowledge, and recurring puzzles and issues...Students, like historians, can use historical problems to organize data and direct their inquiries and studies. Therefore, creating and using good questions is as crucial for the teacher as it is for the researcher." (2, p.181)

Historical meaning is socially constructed. This links EBL to constructivism, and puts forward the importance of posing the major questions and ways of answering them. 

Sources

1. What is EBL? University of Manchester.

2. Bain, R.B., Donovan, M.S. & Bransford, J.D. (Eds).(2005). "They thought the world was flat?": Applying the principles of How People Learn in teaching high school history. How Students Learn. Washington, D.C.: The National Academies Press. http://www.nap.edu/openbook.php?isbn=0309074339