Acquiring Procedural Skills from Lesson Sequences.
Final rept. 1 Jan 82-15 Jun 85,
XEROX PALO ALTO RESEARCH CENTER CA
Pagination or Media Count:
This report provides an informal overview of a theory that describes how people learn certain procedural skills, such as arithmetic and algebra, from multi-lesson curricula. The central hypothesis is that students and teachers obey conventions that cause the goal hierarchy of the acquired procedure to be a particular structural function of the sequential ordering of lessons. This learning theory is an extension of Repair Theory, which describes how people mix interpretation and a certain type of meta-level problem solving as they try to solve practice problems. The learning theory has been embedded in a program that generates detailed predictions about the products of published curricula. The predictions have been tested against data from several thousand mathematics students. Keywords Skill acquisition, Cognitive science, Procedural skills, Bugs, Felicity Conditions, Repairs.
- Theoretical Mathematics