The blue daytime sky contains ample opportunity for stargazing. This may sound crazy, but the Universe is before you every day.
Of course we have all seen at least one star in the day time, if you have eyes to see. The Sun is our nearest, and dearest, star. Without out star we wouldn’t be here! If it suddenly “went out,” we wouldn’t have to fret over soaring heating bills since they very quickly  would be a moot point.
Thankfully, the Sun continues to shine, day and night. When our spinning planet takes us around to the dark side every night, we are reassured the Sun is there by light reflected back from the Moon and planets. Believer, atheist and everyone between have a measure of faith. In this instance we have faith the Sun will rise again, and we go to sleep expecting the sunrise (though some of us get up too late to ever see it!).
Aside from the Sun, there are reports of finding the brightest stars we see at night, shining in broad daylight. This has been done at other times than the total solar eclipse, when many of the stars wondrously come out with the dark Moon hiding the face of the solar rays. To see one of the bright stars, such as Sirius, Vega or Capella, one has to know exactly where to look and the sky must be clear as can be. It would help to be at a high altitude.
Telescopes equipped with a computer database (”Go To” device), where the user punches in the coordinates of a sky object and the telescope obediently moves to the desired target, are at great advantage here. If aligned properly, one could use this method to spot a bright star by day, under the right conditions.
Another trick is to watch a bright star beginning in morning twilight, and don’t let go of it while the Sun rises.
The writer is yet to see a star by day- other than  the Sun- but he has enjoyed seeing the brilliant planets Venus and Jupiter in a daytime sky. Jupiter was seen through binoculars one bright morning, situated very close to the crescent Moon. Without the Moon nearby it would have been very hard to locate the planet.
Some have wondered how you could possibly see the Moon during the day. The answer is, unless the Moon is at its full stage, it is not completely on the other side of the sky from the Sun. When the Sun sets, the First Quarter Moon, for example, is visible due south. A couple hours before sunset, the same Moon is found shifted back eastward, above the horizon, while the Sun is still up in the west.
A telescope trained on a daytime Moon will show craters and mountains as you see at night, but not as well. The Moon’s face will be very washed out, with little contrast.
Please remember NEVER to look at the Sun through a telescope or binoculars unless they are properly fitted in front with the right kind of specially made solar filters. You would burn your eye if you looked without the filter. There are totally safe, indirect ways to observe the Sun, including holding a white cardboard several inches behind the eyepiece and seeing the Sun’s image cast. DO NOT line up the telescope to the Sun with the small “finder” scope. You can aim the telescope on its tripod by watching the shadow of the tube; when it shortens to a circle, it is pointing at the Sun.
What stars would you see at noon time in mid-January, if the Sun were not present? You would see what we normally think of as the stars of summer. The Milky Way of summer is especially well seen if you have a dark sky. During the day in January it is still there, behind our blue sky, invisible except to the astronauts.
That brings up another question: why don’t we see stars in the sky in photographs or television from orbit, or from the Apollo Moon landing missions? The view of the sky is fabulous beyond the Earth’s atmosphere, as pictures from the orbiting Hubble Space Telescope attest. Pictures we see of astronauts during a space walk lack stars, because the camera is not set to pick up the fainter light of the starry background. Instead, it is set for the brilliant exposure provided by the Earth. Astronauts also would not see stars well, unless they purposely looked away from the bright home planet and let their eyes adjust to the darkness, just as we need to do when leaving a brightened house and step out back to see the stars.
You can enjoy stars much better by night. This time of year, nights are long-  you can see them right after dinner. Dress warm and go out and enjoy the winter constellations, as well as bright orange Mars, shining high up above Orion. First Quarter Moon is on January 15, and Full Moon is on the 22nd.
Keep looking up!