Genesis 1: 27 So God created man in his own image, in the image of God he created him; male and female he created them. (the third day)
Genesis 2: When the LORD God made the earth and the heavens- 5 and no shrub of the field had yet appeared on the earth [b] and no plant of the field had yet sprung up, for the LORD God had not sent rain on the earth ...But for Adam [h] no suitable helper was found. 21 So the LORD God caused the man to fall into a deep sleep; and while he was sleeping, he took one of the man's ribs [i] and closed up the place with flesh. 22 Then the LORD God made a woman from the rib [j] he had taken out of the man, and he brought her to the man.
In the second version, the day is unknown, but definitely not at the same time as the creation of Adam, which in ancient Hebrew meant: from ''adam' (119); ruddy i.e. a human being (an individual or the species, mankind, etc.):--X another, + hypocrite, + common sort, X low, man (mean, of low degree), person. "
I don't know what God meant us to see out of this, but probably NOT that God created man and woman, and then did it again, but differently at a different time.
Man was not created on the third day as you added in parenthesis above. Notice verse 23 indicates the fifth day's end, and in verse 31 it indicates man was created on the sixth day. Chapter 2 - beginning in verse 4 - of Genesis focuses in on the sixth day and gives more details than Chapter 1.
Gen 1:23-31
23 And the evening and the morning were the fifth day.
24 And God said, Let the earth bring forth the living creature after his kind, cattle, and creeping thing, and beast of the earth after his kind: and it was so.
25 And God made the beast of the earth after his kind, and cattle after their kind, and every thing that creepeth upon the earth after his kind: and God saw that [it was] good.
26 And God said, Let us make man in our image, after our likeness: and let them have dominion over the fish of the sea, and over the fowl of the air, and over the cattle, and over all the earth, and over every creeping thing that creepeth upon the earth.
27 So God created man in his [own] image, in the image of God created he him; male and female created he them.
28 And God blessed them, and God said unto them, Be fruitful, and multiply, and replenish the earth, and subdue it: and have dominion over the fish of the sea, and over the fowl of the air, and over every living thing that moveth upon the earth.
29 And God said, Behold, I have given you every herb bearing seed, which [is] upon the face of all the earth, and every tree, in the which [is] the fruit of a tree yielding seed; to you it shall be for meat.
30 And to every beast of the earth, and to every fowl of the air, and to every thing that creepeth upon the earth, wherein [there is] life, [I have given] every green herb for meat: and it was so.
31 And God saw every thing that he had made, and, behold, [it was] very good. And the evening and the morning were the sixth day.
The Bible says that Adam was created on the sixth day not the third as you stated.