ABSTRACT

Originally published in 1973, this book was published in two volumes. In the first volume, the author describes what he sees as the rudiments of three deterministic partial theories of structural learning. The first involves competence, partial theories which deal only with the problem of how to account for the various kinds of behavior of which people are typically capable. Special attention is given to mathematical competence. Nothing is said about learning or performance. The second partial theory is concerned with motivation, learning, and performance under idealized conditions, and is obtained from the first partial theory by imposing further structure on it. This theory says nothing about memory of the limited capacity of human subjects to process information. … The final theory is obtained from the second by making additional assumptions, which bring memory and finite information processing into the picture. The theory is still partial, however, since no attempt is made to deal with certain ultra-short-term behavioral phenomena which appear to depend directly on particular physiological characteristics.

chapter 1|8 pages

Introduction and Overview

chapter 2|42 pages

What is a Rule?

chapter 3|22 pages

Mathematical Preliminaries

chapter 4|14 pages

Rule-Based Theories of Structured Knowledge:

General Nature and Relationships to Linguistics 1

chapter 5|32 pages

Foundations of the Theory of Knowledge

chapter 6|52 pages

A Theory of Mathematical Knowledge

chapter 7|84 pages

Mechanisms of Learning and Performance

Memory-Free Theorizing in Structural Learning

chapter 8|30 pages

Mechanisms of Motivation

Memory-Free Theorizing in Structural Learning

chapter 10|50 pages

Memory Theory in Structural Learning

chapter |4 pages

Epilogue