Ezra 3:2

Jeshua] called in Haggai 1:1; 'Joshua.' His father Jozadak had been carried into exile by Nebuchadnezzar (1 Chronicles 6:15). Son of Shealtiel] In 1 Chronicles 3:19; Zerubbabel is called the son of Pedaiah, the brother of Shealtiel (Salathiel). The discrepancy may be explained by the suppositions (a) that he was the real son of Pedaiah and the legal son of Shealtiel (Pedaiah having married Shealtiel's widow, according to the law of Deuteronomy 25:5.), (b) that he was grandson of Shealtiel and son of Pedaiah, (c) that he was grandson of both. But LXX of 1 Chronicles 3:19 makes him the son of Shealtiel (Salathiel), in agreement with the evidence of this passage and of Haggai 1:1.

Builded the altar] Possibly an effort had for a time been made to continue the worship of the Lord on the site of the Temple after its destruction (see Jeremiah 41:5); but the altar erected had apparently been overthrown. The Jews now proceeded to restore it, in order to have the privilege of public worship whilst the Temple was in course of reconstruction. As it is.. Moses] Special sacrifices were enjoined for the 1st day of the 7th month (Numbers 29:1).