Formal, non-formal, and informal

 The most common division is between formal, non-formal, and informal education. Formal education occurs within a structured institutional framework, typically with a chronological and hierarchical order. The modern schooling system organizes classes based on the student's age and progress, ranging from primary school to university. Formal education is usually overseen and regulated by the government and often mandated up to a certain age.

Non-formal and informal education occur outside the formal schooling system, with non-formal education serving as a middle ground. Like formal education, non-formal education is organized, systematic, and pursued with a clear purpose, as seen in activities such as tutoring, fitness classes, and participation in the scouting movement. Informal education, on the other hand, occurs in an unsystematic manner through daily experiences and exposure to the environment. Unlike formal and non-formal education, there is typically no designated authority figure responsible for teaching. Informal education unfolds in various settings and situations throughout one's life, often spontaneously, such as children learning their first language from their parents or individuals mastering cooking skills by preparing a dish together.

Some theorists differentiate between the three types based on the learning environment: formal education occurs within schools, non-formal education takes place in settings not regularly frequented, such as museums, and informal education unfolds in the context of everyday routines. Additionally, there are disparities in the source of motivation. Formal education tends to be propelled by extrinsic motivation, driven by external rewards. Conversely, in non-formal and informal education, intrinsic motivation, stemming from the enjoyment of the learning process, typically prevails. While the differentiation among the three types is generally clear, certain forms of education may not neatly fit into a single category.

In primitive cultures, education predominantly occurred informally, with little distinction between educational activities and other daily endeavors. Instead, the entire environment served as a classroom, and adults commonly assumed the role of educators. However, informal education often proves insufficient for imparting large quantities of knowledge. To address this limitation, formal educational settings and trained instructors are typically necessary. This necessity contributed to the increasing significance of formal education throughout history. Over time, formal education led to a shift towards more abstract learning experiences and topics, distancing itself from daily life. There was a greater emphasis on understanding general principles and concepts rather than simply observing and imitating specific behaviors.

The New World civilizations of the Maya, Aztecs, and Incas

 The outstanding cultural achievements of the pre-Columbian civilizations are often compared with those of Old-World civilizations. The ancient Mayan calendar, which surpassed Europe’s Julian calendar in accuracy, was, for example, a great accomplishment demonstrating the extraordinary degree of knowledge of astronomy and mathematics possessed by the Maya. Equally impressive are the sophistication of the Incas’ calendar and their highway construction, the development of the Mayan complex writing system, and the magnificent temples of the Aztecs. It is unfortunate that archaeological findings and written documents hardly shed sufficient light upon education among the Maya, Aztecs, and Incas. But from available documents it is evident that these pre-Columbian civilizations developed formal education for training the nobility and priests. The major purposes of education were cultural conservation, vocational training, moral and character training, and control of cultural deviation.

Education

Education is the process of facilitating learning, or the acquisition of knowledge, skills, values, beliefs, and habits. Educational methods include storytelling, discussion, teaching, training, and directed research. Education frequently takes place under the guidance of educators, however learners may also educate themselves. Education can take place in formal or informal settings and any experience that has a formative effect on the way one thinks, feels, or acts may be considered educational. The methodology of teaching is called pedagogy.

Formal education is commonly divided formally into such stages as preschool or kindergarten, primary school, secondary school and then college, university, or apprenticeship.

A right to education has been recognized by some governments and the United Nations.In most regions, education is compulsory up to a certain age.Education began in prehistory, as adults trained the young in the knowledge and skills deemed necessary in their society. In pre-literate societies, this was achieved orally and through imitation. Story-telling passed knowledge, values, and skills from one generation to the next. As cultures began to extend their knowledge beyond skills that could be readily learned through imitation, formal education developed. Schools existed in Egypt at the time of the Middle Kingdom.

Matteo Ricci (left) and Xu Guangqi (right) in the Chinese edition of Euclid's Elements published in 1607

Plato founded the Academy in Athens, the first institution of higher learning in Europe. The city of Alexandria in Egypt, established in 330 BCE, became the successor to Athens as the intellectual cradle of Ancient Greece. There, the great Library of Alexandria was built in the 3rd century BCE. European civilizations suffered a collapse of literacy and organization following the fall of Rome in CE 476.

In China, Confucius (551–479 BCE), of the State of Lu, was the country's most influential ancient philosopher, whose educational outlook continues to influence the societies of China and neighbours like Korea, Japan, and Vietnam. Confucius gathered disciples and searched in vain for a ruler who would adopt his ideals for good governance, but his Analects were written down by followers and have continued to influence education in East Asia into the modern era.