Final answer:
Mr. Gradgrind's meetings with Sleary in 'Hard Times' show his transformation from a factual man to someone who appreciates imagination and emotions.
Step-by-step explanation:
In Hard Times by Charles Dickens, the first meeting between Mr. Gradgrind and Sleary establishes Gradgrind's character as firm and factual, while the second meeting signifies a transformation in Gradgrind's worldview. Initially, Gradgrind is depicted as a man of facts and calculations, dismissive of Sleary's circus as frivolous. In the conclusion, however, Gradgrind recognizes the value of imagination and emotions, contrasting his former utilitarian philosophy. The encounters with Sleary bookend Gradgrind's personal development from a rigid educator to a more compassionate individual who acknowledges the limitations of his fact-centered approach to life.