From an original personal experience as mathematics teacher in Mali, t
he author tackles a major topic: reassessing the grounds for the class
ical opposition between formal and informal knowledge, abstract and co
ncrete thought, scientific reasoning and common sense. Light is shed o
n the cognitive complexity of mental calculations by illiterate or uns
chooled persons, ranging from Bambara peasants to workers in Baltimore
, and American housewives to street vendors in Brazil. Research casts
doubt on the pertinence of classical cognitive models for problem-solv
ing, for learning and knowledge transfer. These models overlook questi
ons of meaning, motivation and context.