The style of TaeKwonDo practiced in ITA today is known as Ho-Am TaeKwonDo. This name symbolizes the spirit, values, and vision of ITA TaeKwonDo. The word ho means "tiger" in Korean, and the word am means "rock". Tiger-Rock is identified with the symbolism of the Siberian tiger, native to Korea and known for its power, prowess, and sense of justice but unfortunately endangered, just as our tenets are endangered values.

As the Tiger symbolizes justice and bravery, the Rock symbolizes the steadfast and immovable life spirit of the Korean and Western civilizations. ITA believes that the success of Ho-Am TaeKwonDo comes from honoring both native Korean-Eastern cultural heritage and the philosophy of the Western mind dating back to the Athenian culture, the beginning of Western democratic thought.