The phrase "a history of exploring" is correct and usable in written English.
It can be used when discussing past activities or experiences related to exploration, whether in a literal or metaphorical sense.
Example: "The book provides a comprehensive overview of a history of exploring the uncharted territories of the Arctic."
Alternatives: "a record of exploration" or "an account of exploration".
Western fairy tales have a long history of exploring just this theme — trying to make moral sense of the arbitrary rewards of physical beauty.
Our history of exploring new territories and unfamiliar climates may have acted upon genes that allow us to tolerate more extreme heat or cold than our ancestors.
He gave no history of exploring caves or exposure to any large areas contaminated with bird droppings.
The Road to Total Freedom begins with a history of Scientology, then explores it within a context of a belief system, organizational structure, and form of social control.
(There's a history of VR being explored as a more literal form of psychedelia and visually-borne transcendence, even if the efficacy of that link is rather tenuous in practice).
Researched and written by professor Mike Haynes and Lib Meakin, the book - Opening Doors in the Heartlands: A History of the University of Wolverhampton - explores the university's heritage and the educational opportunities it gave to generations of students in the Black Country.
Michael Burleigh's highly acclaimed Moral Combat: A History of World War II explored morality and its absence during the last global conflict, from the ethical framework of Nazis who perpetrated heinous crimes to Churchill's quandary over the Royal Air Force's attacks on German cities.
Starting from an analysis of environmental changes using satellite images and historical maps, the research explored a history of violent displacements in the frame of a series of brutal insurgencies and counterinsurgencies in the 1950/60s.
I'm exploring uncertainty, black swans, unknowns, to exceeds the limits of knowledge to paradoxically get closer to the truth about reality... Art offers a way of exploring history, science, an unorthodox way that can kind of inspire paradoxical thinking that are different from the methodology of science and history".
This week, he released a book called Gainesville Punk: A History of Bands and Music, which explores how the place that produced people like Tom Petty, Stephen Stills, and John Vanderslice went on to incubate talents like Laura Jane Grace of Against Me! and Chuck Ragan of Hot Water Music.
