To educate the next generation by developing good traditions.

解析：发扬在汉语中表示发展和提倡，因此扣 "承"，"传统" means to pass on and unify the concepts of social experience of the previous generation，因此扣 "前"；"教育" has the meaning of enlightenment，下一代扣 "后"。 The word "tradition" means to pass on and unify the concepts of social experience of the previous generation, so "前" is deducted; "教育" means to inspire, so "后" is deducted for the next generation. The idiom refers to inheriting what came before and creating what will come after. The idiom refers to inheriting the cause of the predecessor and opening the way for the successor.

Hope to help you, hope to adopt. I wish you good luck in your studies(`?).