1. The cell membrane is semi-permeable and uses transport proteins like carrier proteins and ion channels to regulate the movement of molecules and ions in and out of the cell.
2. There are two main types of membrane transport - passive transport which doesn't require energy and occurs down a concentration gradient, and active transport which uses energy from ATP and works against a concentration gradient.
3. An experiment demonstrating active transport can be done using a frog skin bag placed in Ringer's solution, with the rate of fluid accumulation in the bag over time indicating sodium-potassium pump activity.