Preheat the oven to 200 degrees Fahrenheit. Line two baking pans with parchment paper, and set them aside.
Separate the egg yolks from the egg whites and add the egg whites to a large mixing bowl. (Discard of the egg yolks, or add them to an omelet, or use them otherwise).
Add the cream of tartar and salt to the egg whites and mix them together on low speed until it becomes foamy.
Slowly increase the mixer speed to medium high, and add the sugar to the mixing bowl 1 Tablespoon at a time. Making sure the sugar is completely dissolved before adding the next tablespoon, this will take about 20-30 seconds between each addition.
Continue to mix until the mixture is thick, shiny, and has stiff peaks. This will take several minutes.
Add in the vanilla extract and mix it into the mixture until just combined.
Spoon the egg mixture into a large piping bag with a large star tip.
Pipe the meringue onto the prepared cookie sheet in small dollops, about 1 to 1.5 inches in size, and each about 1 inch apart, until all the mixture is piped onto the cookie sheets.
Bake the pans in the oven for 1 hour.
Turn off the heat, and leave the meringue pans in the oven for 1 to 2 hours without opening the oven door, so they completely dry out. (They should be crisp on the outside, and lift freely from the parchment paper).
Carefully remove from the parchment paper and serve, or store in an airtight container.