A synagogue is a Jewish meeting place and house of prayer.
In a strict sense, it is not a temple.
Jesus often taught in synagogues (Matthew 13:54 et al) and the early church met in synagogues as well (Acts 13:14 et al), although they later met in houses (1 Corinthians 16:19 et al).
Key verse about Synagogue: “And when you pray, do not be like the hypocrites, for they love to pray standing in the synagogues and on the street corners to be seen by others. Truly I tell you, they have received their reward in full. But when you pray, go into your room, close the door and pray to your Father, who is unseen. Then your Father, who sees what is done in secret, will reward you. (Matthew 6:4-6, NIV)
A lifelong student of the Bible, Peter DeHaan, PhD, wrote the 1,000-page website ABibleADay.com to encourage people to explore the Bible. His main blog and many books urge Christians to push past the status quo and reconsider how they practice their faith in every area of their lives.