When trying to convey that someone is displaying a lack of knowledge or understanding, there are several synonyms that can be used in place of "show ignorance of." These include "reveal unfamiliarity with," "demonstrate a lack of expertise," "betray a lack of comprehension," "exhibit a dearth of understanding," and "display a deficiency in knowledge." Utilizing these alternative phrases can create a more varied and precise vocabulary when criticizing someone's knowledge or intellectual abilities. By expanding one's linguistic toolkit, it becomes easier to express oneself in a nuanced and sophisticated manner.