Heave of·fer·ing Jewish Antiq. An offering or oblation heaved up or elevated before the altar, as the shoulder of the peace offering. See Wave offering.

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 Heave offering
    Heb. terumah, (Ex. 29:27) means simply an offering, a present,
    including all the offerings made by the Israelites as a present.
    This Hebrew word is frequently employed. Some of the rabbis
    attach to the word the meaning of elevation, and refer it to the
    heave offering, which consisted in presenting the offering by a
    motion up and down, distinguished from the wave offering, which
    consisted in a repeated movement in a horizontal direction, a
    "wave offering to the Lord as ruler of earth, a heave offering
    to the Lord as ruler of heaven." The right shoulder, which fell
    to the priests in presenting thank offerings, was called the
    heave shoulder (Lev. 7:34; Num. 6:20). The first fruits offered
    in harvest-time (Num. 15:20, 21) were heave offerings.