If you do take the Bible creation account literally, which will lead you to the conclusion that the earth is between 6000-10000 years old, there is a way to reconcile it with science.
In the creation account, God created things in an aged form. Here's an example. On Day 2 he planted the seeds for the trees. By the end of the day, we are told that the seeds not only matured into full grown trees, but that they also bore fruit. A seed became a fruit-bearing tree over a 24-hour period.
Suppose a botanist came along on Day 3 and decided to test these trees to see how old they were. He would certainly not conclude that the tree is only a single day old--it normally takes years to reach the fruit-bearing phase!
In order to reconcile science and the creation story, I believe that just because something has the appearance of age doesn't mean it is actually that old. As accurate a scientist's tools and methods might be, they cannot account for the "accelerated" growth that creation underwent.
But then again, in today's society, we say things like, "the sun rose" knowing full well that the sun doesn't literally "rise" at all
Correct me if I'm wrong, but I assume you are talking about the battle in Joshua where the sun "stood still"? That gave me problems for a while since we now think of the sun as a stationary object that the planets revolve around.
But then I got to thinking that all motion is relative. For example we think of ourselves as being motionless when we are sleeping. But in comparison to the solar system, we are actually moving quite rapidly with the rotation of the earth. So it's all a matter of perspective. In that way I don't think it is an incorrect statement to say "the sun rose."
Aaand
Reading for January 4 is Genesis 12-15.