Formal education in Europe during the Middle Ages 500-1600 AD

here is a piece of information from wikipedia.org about the education Europe During the Middle ages

EuropeSee also: Medieval university, List of medieval universities, and List of oldest universities in continuous operation
The Abbey of Cluny was one of the most influential
During the Early Middle Ages, the monasteries of the Catholic Church were the centres of education and literacy, preserving the Church's selection from Latin learning and maintaining the art of writing. Prior to their formal establishment, many medieval universities were run for hundreds of years asChristian cathedral schools or monastic schools (Scholae monasticae), in which monks and nuns taught classes; evidence of these immediate forerunners of the later university at many places dates back to the early 6th century AD.^[46]The first medieval institutions generally considered to be universities were established in Italy, France, and England in the late 11th and the 12th centuries for the study of arts, law, medicine, and theology.[1] These universities evolved from much older Christian cathedral schools and monastic schools, and it is difficult to define the date at which they became true universities, although the lists of studia generalia for higher education in Europe held by the Vatican are a useful guide.
Ireland became known as the island of saints and scholars. Monasteries were built all over Ireland and these became centres of great learning (seeCeltic Church).
Northumbria was famed as a centre of religious learning and arts. Initially the kingdom was evangelized by monks from the Celtic Church, which led to a flowering of monastic life, and Northumbria played an important role in the formation of Insular art, a unique style combining Anglo-Saxon, Celtic,Byzantine and other elements. After the Synod of Whitby in 664 AD, Roman church practices officially replaced the Celtic ones but the influence of the Anglo-Celtic style continued, the most famous examples of this being the Lindisfarne Gospels. The Venerable Bede (673-735) wrote his Historia ecclesiastica gentis Anglorum (Ecclesiastical History of the English People, completed in 731) in a Northumbrian monastery, and much of it focuses on the kingdom.^[47]During the reign of Charlemagne, King of the Franks from 768 – 814 AD, whose empire united most of Western Europe for the first time since the Romans, there was a flowering ofscholarship, literature, art, and architecture sometimes referred to as the Carolingian Renaissance. Brought into contact with the culture and learning of other countries through his vast conquests, Charlemagne greatly increased the provision of monastic schools and scriptoria (centres for book-copying) in Francia. Most of the surviving works of classical Latin were copied and preserved by Carolingian scholars.
Charlemagne took a serious interest in scholarship, promoting the liberal arts at the court, ordering that his children and grandchildren be well-educated, and even studying himself under the tutelage of Paul the Deacon, from whom he learned grammar, Alcuin, with whom he studied rhetoric, dialect and astronomy (he was particularly interested in the movements of the stars), and Einhard, who assisted him in his studies of arithmetic. His great scholarly failure, as Einhard relates, was his inability to write.
The English monk Alcuin was invited to Charlemagne's court at Aachen, and brought with him the precise classical Latin education that was available in the monasteries of Northumbria. The return of this Latin proficiency to the kingdom of the Franks is regarded as an important step in the development of mediaeval Latin. Charlemagne's chancery made use of a type of script currently known as Carolingian minuscule, providing a common writing style that allowed for communication across most of Europe. After the decline of the Carolingian dynasty, the rise of the Saxon Dynasty in Germany was accompanied by the Ottonian Renaissance.
Cathedral schools and monasteries remained important throughout the Middle Ages; at the Third Lateran Council of 1179 the Church mandated that priests provide the opportunity of a free education to their flocks, and the 12th and 13th century renascence known as the Scholastic Movement was spread through the monasteries.These however ceased to be the sole sources of education in the 11th century when universities, which grew out of the monasticism began to be established in major European cities. Literacy became available to a wider class of people, and there were major advances in art, sculpture,music and architecture. Large cathedrals were built across Europe, first in the Romanesque, and later in the more decorative Gothic style.
It should be noted, also, that art and architecture were vital mediums through which religion, philosophy and history were taught to masses of peoples who were primarily illiterate. These 'picture books in stone' were akin to other cultures in Asia, Africa and South America who passed on history through representative forms as well.