Frame rate

FPS (Frames Per Second) is how many frames are displayed per second by a video device. Frames are still pictures that when sequence together form a fluid animation that is the basis for all moving media.

Low FPS will result in a “choppy” gaming experience, as far as looking like a slideshow in extreme cases. Difficult calculations (like blowing up huge loads of TNT in minecraft) can decrease the FPS temporary down to a complete stop for some seconds.

Increasing your FPS

 * Turn down your render distance (default Shortcut Key: F; You can also press ESC and change it under options.)
 * Set in game graphics from Fancy to Fast
 * Do not run other programs while Minecraft is open

Third party methods
These mods are not guaranteed to work, and can contain malicious files, or corrupt your Minecraft program, be careful when downloading and installing.
 * Optimine, is a mod which optimizes several routines in minecraft and thus speeds up the game.
 * MCRegion is another mod which helps with loading, saving, and erasing chunks from the game map. Also, like the Optimine you will need to know how to install the mod.
 * There are also guides available on how to manually increase FPS by editing various files in your system.