Give your kids simple problems to solve while they take a bath. Use their tub toys as visuals, and add them into the game. Bath time has the child corralled in one area and thus offers the perfect time to start asking her to solve simple problems. Start your preschoolers off with learning the basics of measurements by showing them where the water will be in the tub at half full, a quarter full and so on. Start with very simple logic games by asking them to name the water levels if you added the water to here or drained it to there.
Play logic games with the family when you have them as a captive audience on a car trip. Make a competition out of the game if the children all lie within the same age group. If the children in your family span years apart in age, ask the older children to make up the logic problem solving question for the younger kids. The car trip offers a wealth of scenery for logic games: Use the mile markers and signs depicting the distance to the cities and towns in logic games when comparing miles traveled and the ones left to go, for example. Practice statistical logic by keeping track and averaging the colors and makes of the cars most often observed on your trip.
Throw logic problems out to your kids at the dinner table---another time when everyone is together with a span of time to do this. Make game questions out of portion sizes, ounces, pounds and other things having to do with dinner and preparing it. As the children grow older, make the logic games harder with the questions requiring more and more steps to get to the answer.
Play games with your children using their toys as props in games of logic. Use building blocks, baskets and other containers as visuals when explaining how to figure out the answer to a logic game. Children love to learn, especially when they can come up with a correct answer and receive praise for doing so. Simple logic games of putting things in and taking things out of a basket can give your child a jump start on logical thinking---something he will need to do more and more as he gets older.