(1) בראשית IN THE BEGINNING — Rabbi Isaac said: The Torah could have just started with the verse (Exodus 12:2) “This month shall be unto you the first of the months” which is the first commandment given to Israel. What is the reason, then, that it commences with the account of the Creation? Because of the thought expressed in the text (Psalms 111:6) “God declared to God's people the strength of God's works, in order that God might give them the inheritance of the nations.” For should the peoples of the world say to Israel, “You are robbers, because you took by force the lands of the seven nations of Canaan!”, Israel may reply to them, “All the earth belongs to the Holy One, Who created it and gave it to whomever the Holy One pleased. When God willed God gave it to them, and when God willed God took it from them and gave it to us” (Yalkut Shimoni on Torah 187).
(2) בראשית ברא IN THE BEGINNING GOD CREATED — This verse is calling out, "Interpret me!" And so Our Rabbis interpreted: God created the world for the sake of the Torah which is called (Proverbs 8:22) “The beginning (ראשית) God’s way”, and for the sake of Israel who are called (Jeremiah 2:3) “The beginning (ראשית) of God’s increase’’.
If, however, you wish to explain it in its plain sense, explain it thus: At the beginning of the Creation of heaven and earth when the earth was without form and void and there was darkness, God said, “Let there be light”. The text does not intend to point out the order of the acts of Creation — to state that these (heaven and earth) were created first; for if it intended to point this out, it should have written 'בראשונה ברא את השמים וגו “At first God created etc.” And for this reason: Because, wherever the word ראשית occurs in Scripture, it is in the construct state. E. g., (Jeremiah 26:1) “In the beginning of (בראשית) the reign of Jehoiakim”; (Genesis 10:10) “The beginning of (ראשית) his kingdom”; (Deuteronomy 18:4) “The first fruit of (ראשית) thy corn.” Similarly here you must translate בראשית ברא אלהים as though it read בראשית ברוא, at the beginning of God’s creating. A similar grammatical construction (of a noun in construct followed by a verb) is: (Hosea 1:2) תחלת דבר ה' בהושע, which is as much as to say, “At the beginning of God’s speaking through Hosea, the Lord said to Hosea.” Should you, however, insist that it does actually intend to point out that these (heaven and earth) were created first, and that the meaning is, “At the beginning of everything God created these, admitting therefore that the word בראשית is in the construct state and explaining the omission of a word signifying “everything” by saying that you have texts which are elliptical, omitting a word, as for example (Job 3:10) “Because it shut not up the doors of my mother’s womb” where it does not explicitly explain who it was that closed the womb; and (Isaiah 8:4) “He shall take away the spoil of Samaria” without explaining who shall take it away; and (Amos 6:12) “Doth he plough with oxen," and it does not explicitly state, “Doth a man plough with oxen”; (Isaiah 46:10) “Declaring from the beginning the end,” and it does not explicitly state, “Declaring from the beginning of a thing the end of a thing’ — if it is so (that you assert that this verse intends to point out that heaven and earth were created first), you should be astonished at yourself, because as a matter of fact the waters were created before heaven and earth, for, lo, it is written, (v. 2) “The Spirit of God was hovering on the face of the waters,” and Scripture had not yet disclosed when the creation of the waters took place — consequently you must learn from this that the creation of the waters preceded that of the earth. And a further proof that the heavens and earth were not the first thing created is that the heavens were created from fire (אש) and water (מים), from which it follows that fire and water were in existence before the heavens. Therefore you must needs admit that the text teaches nothing about the earlier or later sequence of the acts of Creation.
(3) ברא אלהים ELOHIM CREATED
It does not say 'ברא ה “Adonai created, because at first God intended to create the under the principle of strict Justice, but God realized that the world could not thus endure and therefore gave precedence to the principle of Mercy, and then joining it with Justice. It is to this that what is written in (Genesis 2:4) alludes — “In the day that Adonai Elohim made earth and heaven”.