He begins by stating what Christians believe and is readily understood concerning the matter:
Jesus, the Mediator of the New Covenant (Heb. 3:5,6; 8:6-13; 12:24), set aside the Old Covenant by means of His work of redemption during the thirty-three years of His humiliation (Gal. 4:4,5). In this period He fulfilled the Moral Law by keeping it (Rom. 5:19; 10:4), and by His suffering He freed us from its curse (Gal. 3:13). In this time He also substituted the reality of His atonement for the shadow of the Ceremonial Law and thus made the observance of its ordinances unnecessary (Col. 2:16, 17).
While the basic point is simple to understand, how this transition, or working out, unfolded is a little more complicated, as Beck points out:
The displacement of the old economy by the new nevertheless was not an instantaneous happening. The divine revelations of the abrogation of the whole Covenant and of the individual elements which make up the complex aggregate of the Covenant came at various times. Furthermore, the Covenant was to be eternal. It was difficult, therefore, for a people in whom this Covenant had been inbred to understand that part of it could be set aside, that an act which once was a sin of disobedience punishable by death might by divine direction become a good work. It was also difficult to find the clear line of demarcation between the ceremonial and the moral laws and then to maintain liberty, in the face of great opposition, in regard to the Ceremonial Law. Doubt in regard to the will of God and fear of sinning (e. g., Acts 10:14) lingered in the hearts of God's people and rendered the adoption of the change in practise a gradual one.
He first structures his discussion around the major events in the earthly ministry of Christ: His birth, relation to John the Baptist, baptism, public ministry, crucifixion, and resurrection. He then subjects particular practices of the Old Testament to two questions: "When did God expressly set it aside? At what time did His people become emancipated from it?" He covers the following topics: