Here are the corrections for each sentence:

1. **Incorrect:** The more frequently she practices, the **much** progress she makes.
**Correct:** The more frequently she practices, the **more** progress she makes.

2. **Incorrect:** The less sleep he gets, **more** tired he feels.
**Correct:** The less sleep he gets, the **more** tired he feels.

3. **Incorrect:** The faster you run, the more **highly** your chance of winning the race is.
**Correct:** The faster you run, the **greater** your chance of winning the race is.

4. **Incorrect:** The more she studies, **her** grades will improve.
**Correct:** The more she studies, the **better** her grades will improve.

5. **Incorrect:** The better you practice, **the well** you will perform.
**Correct:** The better you practice, **the better** you will perform.

6. **Correct:** The more often they practice, they improve their skills.
**Correct:** The more often they practice, **the more** they improve their skills.

7. **Correct:** The more highly the temperature rises, **the faster** the ice cream melts.
**Correct:** The more highly the temperature rises, **the faster** the ice cream melts. (No correction required)

8. **Incorrect:** The less time you spend on social media, **more** productive you become.
**Correct:** The less time you spend on social media, **the more** productive you become.

9. **Correct:** The harder you try, **good** results you will achieve.
**Correct:** The harder you try, **the better** results you will achieve.

10. **Correct:** The less mistakes you make, **the better** you will become.
**Correct:** The fewer mistakes you make, **the better** you will become.