He divorced her in front of her family then in the presence of the notary public. Does that count as two divorces (talaaq)?
Question

                There was a disagreement between me and my husband, and he issued a divorce, and there was no one present but me and him; he was angry but he was aware of what he was saying. Then we reconciled. Then there was a bigger disagreement and we decided to separate. He said it once in front of my family and a second time in front of the notary public. Am I thrice divorced? Can I go back to him or not? If I can go back to him, do we need a muhallil (another man to whom she can do a marriage contract, then he divorces her immediately so that she can go back to her first husband)?.
Praise be to Allah.Firstly: 
Divorce at 
    the time of anger may or may not count as such, depending on the type and 
    intensity of the anger. For a detailed discussion of that, please see the 
    answer to question no. 22034. 
With regard 
    to the divorce that happened before the notary public, if the husband 
    intended thereby to confirm the divorce that happened in front of your 
    family, or he wanted to give notice of that divorce, then it is not counted 
    as a second divorce. 
But if he 
    wanted to issue a second divorce that was different than the first, then it 
    is as he intended. What counts in this case is the intention and aim of the 
    husband. 
The divorce 
    that happened in front of the notary public – if the husband intended it as 
    a new divorce – is regarded as a divorce if it happened within the ‘iddah. 
    The majority of scholars are of the view that it counts as such, because the 
    woman who is observing ‘iddah of a revocable divorce comes under the same 
    ruling as other wives so divorce is counted in her case. 
It says in
    al-Mawsoo’ah al-Fiqhiyyah (29/12): The majority of fuqaha’ – Hanafis, 
    Maalikis and Shaafa’is, and it is the view of the Hanbalis – are of the view 
    that divorce is counted as such with regard to a woman who is observing 
    ‘iddah of a revocable divorce. If a man says to his wife with whom he has 
    consummated the marriage, “You are divorced,” then he said during her 
    ‘iddah, “You are divorced,” a second time, then that is two divorces 
    (talaaq), so long as he did not intend to confirm the first divorce. But if 
    he intended to confirm the first divorce, it does not count as a second 
    divorce. End quote. 
Thirdly: 
If the 
    divorce mentioned happened when the woman was menstruating or during a 
    period of purity when her husband had had intercourse with her, then there 
    are some scholars who stated that this does not count as a divorce. See 
    question no. 72417. 
Fourthly: 
If three 
    divorces have taken place, and the woman has become irrevocably divorced 
    from her husband, then she is not permissible for him unless she marries 
    another a husband in a real marriage, not a marriage aimed at circumventing 
    this ruling, and he has intercourse with her, then dies or divorces her. In 
    that case the first husband can marry her in a new marriage contract and 
    with a new mahr. 
But a 
    marriage aimed at circumventing this ruling (known as nikaah al-tahleel) is 
    invalid and is haraam, because the man is not marrying her because he wants 
    to marry her, rather it is in order to make her permissible for the first 
    husband. The Prophet  (peace and blessings of Allaah be upon him) cursed 
    the one who does that, or for whom it is done. 
A tahleel 
    marriage does not make the woman permissible for her first husband. 
Ibn Qudaamah 
    (may Allaah have mercy on him) said in al-Mughni (7/137): A marriage 
    aimed at making a woman permissible for her first husband is haraam and 
    invalid, according to the majority of scholars, including al-Hasan, 
    al-Nakha’i, Qataadah, Maalik, al-Layth, al-Thawri, Ibn al-Mubaarak and 
    al-Shaafa’i. 
He also 
    said: A marriage aimed at making a woman permissible for her first husband 
    is invalid and it does not make her permissible for the first husband. End 
    quote from al-Mughni (7/140). 
And Allaah 
    knows best.