Judaism
Christianity was originally a sect of Second Temple Judaism, but the two religions diverged in the first century. The differences between Christianity and Judaism originally centered on whether Jesus was the Jewish Messiah but eventually became irreconcilable. Major differences between the two faiths include the nature of the Messiah, of atonement and sin, the status of God's commandments to Israel, and perhaps most significantly of the nature of God himself. Due to these differences, Judaism traditionally regards Christianity as Shituf or worship of the God of Israel which is not monotheistic. Christianity has traditionally regarded Judaism as obsolete with the invention of Christianity and Jews as a people replaced by the Church, though a Christian belief in dual-covenant theology emerged as a phenomenon following Christian reflection on how their theology influenced the Nazi Holocaust.
Jewish prayer
Throughout Orthodox Judaism, including its most liberal forms, men and women are required to sit in separate sections with a mechitza (partition) separating them. Historically, a learned woman in the "weibershul" (women's section or annex) of a synagogue took on the informal role of precentress or firzogerin for the women praying in parallel to the main service led in the men's section. Conservative/Masorti Judaism permits mixed seating (almost universally in the United States, but not in all countries). All Reform and Reconstructionist congregations have mixed seating.