RE: the Jewish canon was not closed until the Council of Jamnia in AD 90
http://www.aish.com/jl/h/cc/48939022.html
The Men of the Great Assembly — in Hebrew, Anshei Knesset HaGedolah — was an unusual group of Jewish personalities who assumed the reigns of Jewish leadership between 410 BCE and 310 BCE...
...the Men of the Great Assembly decide which of the multitude of Jewish holy writings should be in the Bible. The Jewish people have produced hundreds of thousands of prophets (both men and women). Which of their writings should be preserved for future generations and which had limited applicability?
The Men of the Great Assembly make this decision and give us what is known as the Hebrew Bible today — or the Tanach. (Tanach is a Hebrew acronym which stands for Torah, Prophets, Writings.)...
The Men of the Great Assembly make this decision and give us what is known as the Hebrew Bible today — or the Tanach. (Tanach is a Hebrew acronym which stands for Torah, Prophets, Writings.)..
And yet, friend, the Sadducees and the Samaritans both rejected the Prophets and the Writings, while the Ethiopian Jews accepted both these and the 7 deuterocanonical books.
Secondly, you state the date ending in 310 BC -- was the canon "closed" at that date? No, they were not "closed" -- the canonization process did not end until c 200 AD
The Torah was canonized c 400 BC, the Prophets c 200 BC but the Writings only by c 100 AD and that too, it was closed by Rabbinical Judaism (Phariseeism) yet even then, post Jamnia there were disputes over the Book of Esther and Ecclesiastes and the Song of Songs
Even so, the Midrash Koheleth describes 24 books, but Josephus describes only 22 rejecting Esther and Ecclesiastes which were not yet considered canon.
The Jewish canon was the one Christ read from in the temple, the majority of jewish communities used the canon that had been marked as inspired by the prophet Nehemiah ( ..that canon had been set from the days of Nehemiah... )but never officially until there was religious tension between Christianity and Judaism ... just was there was no closed Christian canon before Trent.
The Jews reject the books because they are not inspired, They contain errors and inconsistencies and contradictions even within the same book ...
The OT canon belongs to the Jews, God has never removed it from their care and authority ..Rome had no right to add uninspired books to their canon
“Rabbinic Judaism recognizes the twenty-four books of the Masoretic Text, commonly called the Tanakh or “Hebrew Bible”. Evidence suggests that the process of canonization occurred between 200 BC and AD 200, indeed a popular position is that the Torah was canonized c. 400 BC, the Prophets c. 200 BC, and the Writings c. AD 100[5] perhaps at a hypothetical Council of Jamnia—however this position is increasingly criticised by modern scholars. The book of Deuteronomy includes a prohibition against adding or subtracting (4:2, 12:32) which might apply to the book itself (i.e. a “closed book”, a prohibition against future scribal editing) or to the instruction received by Moses on Mt. Sinai.[6] The book of 2 Maccabees, itself not a part of the Jewish canon, describes Nehemiah (around 400 BC) as having “founded a library and collected books about the kings and prophets, and the writings of David, and letters of kings about votive offerings” (2:13–15). The Book of Nehemiah suggests that the priest-scribe Ezra brought the Torah back from Babylon to Jerusalem and the Second Temple (8–9) around the same time period. Both I and II Maccabees suggest that Judas Maccabeus (around 167 BC) likewise collected sacred books (3:42–50, 2:13–15, 15:6–9), indeed some scholars argue that the Jewish canon was fixed by the Hasmonean dynasty.[7] However, these primary sources do not suggest that the canon was at that time closed; moreover, it is not clear that these sacred books were identical to those that later became part of the canon. “The Men of the Great Assembly”, also known as the Great Synagogue, was, according to Jewish tradition, an assembly of 120 scribes, sages, and prophets, in the period from the end of the Biblical prophets to the time of the development of Rabbinic Judaism, marking a transition from an era of prophets to an era of Rabbis. They lived in a period of about two centuries ending c. 70 CE.[1]
http://en.wikipedia.org/wiki/Biblical_canon