"show understanding of" is correct and usable in written English.
You can use it to express that you are aware of, or comprehend, a certain concept or idea. For example, "I showed an understanding of the complicated tax code when I was able to complete the filing on my own."
He says: "Make sure that you cover the product, the market, the social impact, and show understanding of the business principles.
Then there's the other side of the scale: some essays are magnificent and show understanding of a topic that goes far beyond the requirements of the course.
Brown and Miliband made similar statements to General McChrystal on October 1 and Admiral Mullen and Admiral Stavridis October 2, and the PM's Foreign Policy Advisor Simon McDonald has asked the USG to show "understanding of the political pressures that the PM is under".
P value Did the speakers show understanding of their opponents' arguments?
P value Did the speakers show understanding of the points made during the cross-examination?
[Explanation] Rebuttal speech Did the speakers show understanding of the points made during the cross-examination?
The official insisted that the Obama administration, informed of the accord, "showed understanding of our strategy".
Alexis plans to attend St. Jean Baptiste High in Manhattan because the school showed understanding of her rigorous schedule, her pursuit of excellence.
I like the All Blacks system - it's old-fashioned, like a lot of their philosophies, and shows understanding of the game.
After much persistence, and showing understanding of their history and culture, various individuals finally agreed to open up to me.
He even showed understanding of the existence of Palestinian Christians and didn't shy away from speaking out about the rights of Coptic Christians in Egypt or Maronites in Lebanon.
