I
believe President Bill Clinton helped to popularize this term back in the
1990s. It refers to the ideas & principles to which a person or
organization is committed & will not compromise.
One
necessity in the Christian life is a consistent view of things. This view
informs us & motivates us to be faithful to what God has revealed to us in
Scripture. In other words, the Christian’s core values must be biblical.
If
your core values are biblical, it is inevitable that you will be confronted by
situations where you are expected to believe, affirm, do, or say things that
violate Scripture. Unless you are willing to suffer for those values, you will
eventually follow the crowd & go against those values.
Part
of the responsibility of pastors & other spiritual leaders is to establish
disciples in the truth of Scripture so that they will not be carried away by
false teachings. After describing these leaders' work in Ephesians 4, we are told,

Your pastor has a challenging job. Pray for him (or her). Receive your pastor's godly counsel, whether it is given one-on-one or from the pulpit. Then be committed to living by biblical core values every day.