Preheat oven to 375 degrees. Cream butter until smooth; add sugars, and beat until smooth. Beat in eggs and vanilla. Into a large bowl, sift together dry ingredients. Slowly beat dry ingredients into wet mixture. Fold in chocolate chips.
Drop 2 to 3 tablespoons dough per cookie onto ungreased baking sheets; space dough at least 2 inches apart to allow for spreading. Bake until golden, 8 to 10 minutes. Remove cookies from baking sheets, and allow to cool on baking racks.
If cookies harden before you have a chance to remove them from the baking sheet, return the sheet to the oven for a few seconds to soften the dough for easier removal.
On "Martha Bakes," Martha used 2 cups of chocolate chips in this recipe. She chilled the dough for 1 hour and baked the cookies for 10 to 12 minutes, rotating the pan halfway through baking time.