Trim the ends of the squash. Quarter each squash and slice into pieces, 1/3-inch thick.
Add the butter and oil to the skillet, followed by and squash and garlic. Toss and sear for 2-5 minutes, until barely cooked through. Salt and Pepper to taste.
Push the squash to the sides of the skillet and add the tomatoes. Cook and toss another 2-3 minutes until the tomatoes are just about to pop. Stir in the fresh thyme and remove from heat.
Sprinkle the yellow squash recipe with Parmesan cheese and serve warm!