Okay kiddo, let's talk about East Asian Madhyamaka:
Madhyamaka is a big word that comes from an ancient Indian language (Sanskrit). It's a type of Buddhist philosophy that talks about emptiness - which means that everything in the world is not really as solid or permanent as it seems.
Now, East Asian Madhyamaka means that people in countries like China, Japan, and Korea had their own way of understanding and practicing Madhyamaka. They had their own teachers, texts, and ideas about what it meant to be a Madhyamaka Buddhist.
One important teacher in East Asian Madhyamaka was a guy named Nagarjuna. He lived over 2,000 years ago and wrote a bunch of books about emptiness. They were so important that many Buddhists still study them today!
Later on, other thinkers in East Asia, like Dogen in Japan and Wonhyo in Korea, also had their own ways of understanding Madhyamaka. They would write their own books or give talks to help people learn about it.
So basically, East Asian Madhyamaka is all about how people in countries like China, Japan, and Korea learned and practiced this idea of emptiness that comes from ancient Indian Buddhism. It involved lots of teachers, books, and ideas that were specific to those countries. Does that make sense, kiddo?