Table of Contents:
  • The high school pupil
  • The uses of algebra
  • The nature of algebraic abilities
  • The psychology of the equation
  • Problem solving
  • The measurement of algebraic abilities
  • The constitution of algebraic abilities: general considerations
  • The constitution of algebraic abilities: learning algebraic meanings and procedures
  • The constitution of algebraic abilities: the selection of the particular mental connections or bonds to be formed
  • New types of exercises in algebra
  • The arrangement of topics in algebra
  • The strength of algebraic connections
  • The psychology of drill in algebra: the amount of practice
  • The psychology of drill in algebra: the distribution of practice
  • The interest of pupils in algebra in comparison with other school subjects
  • The interest of pupils in various features of algebraic learning
  • Individual and sex differences in algebraic achievement
  • Suggestions for research in the psychology of algebra
  • Appendices. I. The abilities involved in algebraic computation and in problem solving
  • II. The permanence of school learning
  • III. The effect of changed data upon reasoning