Collatz socratic ?

Here are some Socratic questions designed to stimulate reflection and discussion for your Acton Academy learners:

Exploration of Achievement

1. How might solving this math problem impact the field of mathematics?
2. What are the potential real-world applications of this solution?
3. Could your solution inspire others to solve similar problems?

Ethical and Personal Responsibility

1. Do you have a responsibility to share your discovery? Why or why not?
2. How might your solution benefit or harm society, depending on how it is used?

Reflection on Process

1. What steps or habits led you to this breakthrough?
2. How did previous failures or challenges contribute to your success?

Impact and Legacy

1. How would the world change if your solution remains unknown or unpublished?
2. Could this discovery be the foundation for future innovations?

Creative Thinking

1. If someone were to build on your work, what directions might they take?
2. How could your solution spark creativity in fields outside of mathematics?

Perspective and Humility

1. What might you not know yet about the consequences of this solution?
2. How would you feel if someone later improved upon or disproved your solution?

Would you like these tailored further for specific age groups or scenarios?