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Problem-based learning (PBL) is a teaching method in which students learn about a subject through the experience of solving an open-ended problem found in trigger material. The PBL process does not focus on problem solving with a defined solution, but it allows for the development of other desirable skills and attributes.
The first is challenge-based learning/problem-based learning, the second is place-based education, and the third is activity-based learning. Challenge-based learning is "an engaging multidisciplinary approach to teaching and learning that encourages students to leverage the technology they use in their daily lives to solve real-world problems ...
The Effects of Problem-based learning during medical school on physician competency: a systematic review. CMAJ 2008;178(1):34-41. Not coincidentally, MU is also he home of David Jonassen - a leading figure in PBL along with his Dutch colleagues, and I belive 10 years prior to 2009 he was at Penn State working on PBL.
Design-based learning was developed in the 1980s by Doreen Nelson, a professor at California State Polytechnic University, Pomona and the Art Center College of Design. Her findings suggested that kinesthetic problem-solving helps students acquire, retain, and synthesize information in practical ways.