"explained his understanding" is correct and is commonly used in written English.
It means to provide an explanation or clarification about one's understanding of a topic or situation. Example: John explained his understanding of the stock market to his colleagues during the meeting.
Torre, in the latter stages of his press gathering, tried to explain his understanding of emotion in a big event.
I asked the Mufti to explain his understanding of the Jewish relationship to the Mount and to the Wall.
After explaining his understanding of Mr. Obama's view, and contrasting it with his own — using terms that college students taking economics courses might follow — Mr. Merali concluded that all in all the system of checks and balances would protect the nation against any intemperate economic decisions the next president might consider.
"Just as I was feeling crushed by the gravity of these issues," he remembers, "she went on to say: 'But, Harold, both problems have solutions.' " To address the first, he would have to write an essay explaining his understanding of the honor code, how he had broken it and why he deserved a pardon.
In line 7, the teacher first asked Kai to explain his understanding of the article and its rhetorical style.
In his second aesthetic treatise (Bolzano 1849b), Bolzano explains his understanding of fine arts and of works of fine art, and he presents a classification of fine arts based on an ontological analysis of the works of fine art.
Via statement, Sole describes "I Think I'm Emma Goldman as an attempt to explain his understanding of anarchism.
"I'm aware of the controversy," he said, explaining his understanding that a video used in McIntosh's campaign included unreported glow sticks on a campaign finance report.
The instructor introduced the activity and explained his interest in better understanding what students think about science.
We have noted that, during a group discussion, it is rare that each student explains his or her understanding.
