# How has your mathematical imagination been enhanced as a result of taking this class?

1. Take one homework problem you have worked on this semester that you struggled to understand and solve, and explain how the struggle itself was valuable. ○ In the context of this question, describe the struggle and how you overcame the struggle. You might also discuss whether

struggling built aspects of character in you (e.g. endurance, self-confidence, competence to solve new problems) and how these virtues might benefit you in later ventures. 2. What mathematical ideas are you curious to know more about as a result of taking this class? ○ Give one

example of a question about the material that you’d like to explore further, and describe why this is an interesting question to you. 3. How has your mathematical imagination been enhanced as a result of taking this class? ○ Give at least three examples. 4. Consider one mathematical

idea from the course that you have found beautiful, and explain why it is beautiful to you. ○ Your answer should address how this beauty is similar to or different from other kinds of beauty that human beings encounter. 5. Give one example of a mathematical idea from this class that

you found creative, and explain what you find creative about it. ○ For example, you can choose an instance of creativity you experienced in your own problem-solving, or something you witnessed in another person’s definition or reasoning.