Can I run this software on my computer at home as well as at work, or do I need to purchase two copies of the software?
You can run this software on any computer that you own or use. The license give you permission to install the software on any computer that you use, so long as you are the only person using the software on the computer. This means you can install the software at home, and in your classroom with a single user lincense.
The license does not allow you to install the software in a location where more than one person will use the software, such as a lab or community computer. This type of usage would require a multi-user license.