Preheat the oven to 350 degrees F.

Spread the sesame seeds on a cookie sheet ( no lining or greasing necessary ). Toast the sesame seeds in the preheated oven for approximately 8 minutes, or until they become fragrant and just start to brown.

In a large bowl, cream together the sugar and butter, then mix in the egg, salt, baking soda, and vanilla extract.

Add the flour, and mix until the mixture is smooth.

Stir in the toasted sesame seeds.

Line two cookie sheets with parchment paper. Drop the dough onto the cookie sheets in 1 teaspoon dollops, leaving approximately 1 ½ inches between each drop to allow the cookies to spread.

Bake for 10 minutes, or until cookies are golden brown. Allow to rest on the pan for 2 minutes before removing to a cooling rack.