Using computers to provide diagnosis and remediation in mathematics is emphasized. Some essential features of technology-supported learning environments are discussed, as well as features that facilitate their use. Illustrated is a computer environment for learning algebra. (MNS)

Several intuitive proofs for evaluating specific infinite expressions are given. Observations on intuition and errors in mathematics are included. (MNS)

Assessed was the level of thinking of 140 students who had been placed in developmental algebra as entering college freshmen. Scores on the Group Assessment of Logical Thinking, Scholastic Aptitude Tests, college placement tests; high school grade point average, and developmental algebra final grade were analyzed. Group characteristics are…

A collection of student distortions, represented by student-invented variations of theorems, are presented. They were drawn from examination papers of 17-year-old students in Israel. (MNS)

Illustrated first is the case in which a wrong procedure (with fractions) leads to a correct result. Trying to justify why it works in this case and looking for similar patterns involved interesting algebraic considerations as well as use of computers. (MNS)

Reports on a study to determine if having students write about the work required in doing three types of exercises from elementary algebraic fractions would affect the students' error patterns on quizzes. The study involved six developmental studies in elementary algebra classes. (PK)

Describes a research methodology known as the teaching experiment and details an example of a teaching experiment aimed at the development of a process-oriented algebra curriculum. Addresses other possible variations of the teaching experiment, emphasizing the cooperation of teachers and researchers. (TW)