Καὶ περιῆγεν ἐν ὅλῃ τῇ Γαλιλαίᾳ, διδάσκων ἐν ταῖς συναγωγαῖς αὐτῶν καὶ κηρύσσων τὸ εὐαγγέλιον τῆς βασιλείας καὶ θεραπεύων πᾶσαν νόσον καὶ πᾶσαν μαλακίαν ἐν τῷ λαῷ.
1) περιῆγεν : 3rd sg. Aor., περιάγω (+ ἐν), to go around the area
2) ἐν ὅλῃ : ἐν + dat.; ὅλος η ον, whole, entire, complete
3) θεραπεύων : pres. act. part., nom. sg., θεραπεύω, to attend to; heal, cure
4) νόσον : acc. sg., νόσος ου, sickness, disease
5) μαλακίαν : acc. sg., μαλακία ας, softness, weakness (cf. L. mollis, soft)
6) ἐν τῷ λαῷ : ἐν + dat.; λαός οῦ, the people (laity)
And he went around all the Galilee, teaching in their synagogues and proclaiming the good news of the kingdom, and attending to every sickness and infirmity in the people.
ἐν ταῖς συναγωγαῖς αὐτῶν
There are seven mentions in Matthew of the synagogues, five of these times have συναγωγαῖς αὐτῶν, their synagogues, that is the synagogues of the Pharisees. The noticeable exception is the final expression
συναγωγαῖς ὑμῶν, your synagogues. Synagogues, for Matthew’s community, are unwelcome places, where, at best, are full of argument and harassment, and, at worst, are places where Jesus’ apostles are being expelled. By the time of John’s Revelation, the place will become συναγωγὴ τοῦ Σατανᾶ, a synagogue of Satan (Rv 2.9).
εὐαγγέλιον, good news, often translated as gospel, has four mentions in Matthew, three, just like here, say the good news of the kingdom (9.35,24.13).
ἐν τῷ λαῷ
λαός the people, mentioned eight times in Matthew, play a unique role in Jesus’ ministry.
τέξεται δὲ υἱὸν καὶ καλέσεις τὸ ὄνομα αὐτοῦ Ἰησοῦν, αὐτὸς γὰρ σώσει τὸν λαὸν αὐτοῦ ἀπὸ τῶν ἁμαρτιῶν αὐτῶν.
And she will give birth to a son, and you will name him Jesus, for he will save his people from their sins.
“Καὶ σύ, Βηθλεὲμ γῆ Ἰούδα, οὐδαμῶς ἐλαχίστη εἶ ἐν τοῖς ἡγεμόσιν Ἰούδα: ἐκ σοῦ γὰρ ἐξελεύσεται ἡγούμενος, ὅστις ποιμανεῖ τὸν λαόν μου τὸν Ἰσραήλ.”
“And you, Bethlehem of Judah, are in no way the least among the chiefs of Judah; out of you will come forth a leader, who with tend to my people Israel.
So, λαός in Matthew will stand for Israel, the object of God’s redemption through Jesus.