Here are the answers to the math problems written on the whiteboard in the image:

1. $3 + 2 = 5$
2. $3 + (-2) = 1$
3. $3 + 2 = 5$
4. $3 + (-2) = 1$
5. $3 - 2 = 1$
6. $3 - (-2) = 5$
7. $3 - (-2) = 5$
8. $3 - 2 = 1$
9. $3 - 2 = 1$
10. $3 + 2 = 5$
11. $3 + (-2) = 1$
12. $3 - 2 = 1$
13. $3 - (-2) = 5$
14. $\frac{6}{3} = 2$
15. $\frac{6}{-3} = -2$

Let me know if you need further details or have any questions. Here are some related questions to explore:

1. What happens when you add two negative numbers together?
2. How does subtracting a negative number compare to adding a positive number?
3. How do fractions change when the numerator or denominator is negative?
4. Can you explain why subtracting a negative number gives the same result as adding a positive number?
5. How do you simplify expressions that include both addition and subtraction of negative numbers?

Tip: Remember, subtracting a negative number is the same as adding the positive counterpart of that number.