Investigates the mathematical behavior of 30 college students in a problem situation that requires them to find the inverse of a given compound element in an environment of LOGO turtle graphics. Results from interviews indicate that, in searching for the inverse, students tend to invert the elements but not the order. (MDH)

Related to the earlier ACT production system theory, this book's basic goal is to present evidence for the psychological reality of a production system model of mind. Distinguished from the original theory in three ways, this volume uses previous rational analyses to improve upon that theory and extend its scope. It also relates the theory to new…

Offers LOGO as an environment that facilitates the development of cognitive strategies useful in problem solving. Presents LOGO activities requiring students to combine preprogramed procedures to produce worksheet patterns. Using this approach promotes using LOGO as a vehicle for problem solving and results in a more positive attitude toward LOGO.…

Discusses concerns for mathematics education research on algebra and requestions methods that focus on the Piagetian concept of cognitive obstacles. Suggests the use of computer-based environments to develop the concept of variable and offers research findings indicating that experiences working with variables in LOGO influences student…