"I am walking home."
Can't you say 'Eve yuruyerek gidiyorum' (with the appropriate non-English characters, kindly forgive me) as well? How is this functionally different from the accepted translation?
"Eve yürüyerek gidiyorum" means "I am going home by walking". (Imagine you're saying you're going home by walking, not by biking.)
It is not necessarily a different meaning, but they are different translations. "Eve yürüyorum" should be translated as "I am walking home."