Preheat oven to 350 degrees. Beat butter or margarine and sugar with a mixer on medium-high speed until fluffy. Beat in egg yolks and vanilla. Add chocolate, matzo meal, and salt. Beat until mixture just comes together. (It should be thick.)
In a clean bowl and with a whisk attachment, beat egg whites until stiff peaks form. Gently fold into chocolate mixture. Add chocolate chips, and stir. Let stand 15 minutes.
Scoop 2-inch balls onto a parchment-lined baking sheet. Bake until set, 10 to 12 minutes. Let cool on sheet on a wire rack for 2 minutes. Transfer cookies to rack, and let cool completely.