Philosophy of mathematical practice is a branch of philosophy of mathematics starting with the assumption that mathematics is not only a body of eternal truths, but also a human activity with its specific dynamics of change and history. By observing a wide range of mathematical practices, including advanced practices, questions beyond foundations and access to abstract objects arise. Examples of such questions are: Why do mathematicians reprove a theorem which already has an accepted proof? When is a proof explanatory? What is mathematical understanding? What are the epistemic roles of diagrams and visualization in mathematics? How did certain mathematical concepts evolve over time? These questions tend to admit localized answers, specific to certain contexts, rather than applying for all mathematics. In recent years, researchers have been accumulating detailed case studies to answer them. Moreover, interdisciplinary endeavours have been pursued, bringing together not only philosophers and historians, but also cognitive scientists, sociologist, anthropologists, mathematics education researchers, and computer scientists.