John Piper defines this difference:
…the ultimate difference between divine wisdom and human wisdom is this: God’s wisdom has the supremacy of God’s glory as the beginning, middle, and end of it, but man’s wisdom delights in seeing himself as resourceful, self-sufficient, self-determining, and not utterly dependent on God’s free grace. Divine wisdom begins consciously with God (‘The fear of the LORD is the beginning of wisdom,’ Psalm 111:10), is consciously sustained by God, and has the glory of God as its conscious goal. When divine wisdom is revealed to humans, its effect is to humble us and give us the same God-orientation that God himself has. (The Pleasures of God, 278).