My superintendent gives a packet to the board and to me (board secretary) every meeting. After the meeting, she highlights what needs to be written in the minutes. Should her name be on the minutes, or mine?
Minutes are not required by law to be signed by anyone - not the secretary, the superintendent, or the board chair - although it is traditional in many districts for one or more of those people to sign the minutes. Your district policy may specify how this should be handled. Once the minutes are approved by the board, they are the property of the board and a public record of the district, and it really doesn't matter who took the minutes, how they were taken, or whether they were signed. Some districts tape meetings, and those are not signed.