Sayyed Mohammad Al-Musawi, Sayyed Mohammad al-Musawi is originally from Iraq and heads up the World Ahlul Bayt Islamic League in London. Other than being involved in various humanitarian projects, he frequently responds to... Answer updated 3 years ago

Yes there are many teaching methodologies is Quran. Just example :  the conversation between Al-Khidr and Moses which shows the methods of teaching.

Also the method of teaching in the life of Luqman and his son.