Went up into a mountain - Το ορος, The mountain. "Meaning," says Wakefield, "some particular mountain which he was accustomed to frequent; for, whenever it is spoken of at a time when Jesus is in Galilee, it is always discriminated by the article. Compare Matthew 4:18, with Matthew 5:1; and Matthew 13:54, with Matthew 14:23; and Matthew 28:16. I suppose it was mount Tabor."
Sea of Galilee - That is, the Lake of Gennesaret. For an account of the principal diseases mentioned here, see the notes at Matthew 4:24.
Maimed - Those to whom a hand or foot was wanting. See Matthew 18:8. To cure them - that is, to restore a hand or foot - was a direct act of creative power. It is no wonder, therefore, that the people wondered.
And they glorified the God of Israel - To glorify here means to praise; to acknowledge his power and goodness. The God of Israel was the God that the Israelites or Jews worshipped.
Jesus, the divine Master, ever exalted the name of His heavenly Father. He taught His disciples to pray, “Our Father who art in heaven, hallowed be Thy name.” Matthew 6:9, A.R.V. And they were not to forget to acknowledge, “Thine is ... the glory.” Verse 13. So careful was the great Healer to direct attention from Himself to the Source of His power, that the wondering multitude, “when they saw the dumb to speak, the maimed to be whole, the lame to walk, and the blind to see,” did not glorify Him, but “glorified the God of Israel.” Matthew 15:31. In the wonderful prayer that Christ offered just before His crucifixion, He declared, “I have glorified Thee on the earth.” “Glorify Thy Son,” He pleaded, “that Thy Son also may glorify Thee.” “O righteous Father, the world hath not known Thee: but I have known Thee, and these have known that Thou hast sent Me. And I have declared unto them Thy name, and will declare it: that the love wherewith Thou hast loved Me may be in them, and I in them.” John 17:4, 1, 25, 26. PK 69.1
“Thus saith the Lord, Let not the wise man glory in his wisdom, neither let the mighty man glory in his might, let not the rich man glory in his riches: but let him that glorieth glory in this, that he understandeth and knoweth Me, that I am the Lord which exercise loving-kindness, judgment, and righteousness, in the earth: for in these things I delight, saith the Lord.” Jeremiah 9:23, 24. PK 69.2
“I will praise the name of God, ...
And will magnify Him with thanksgiving.” PK 70.1