The article reports aspects of the evolution of a teaching approach over repeated trials for beginning symbolic algebra. The teaching approach emphasized the structural similarity between arithmetic and algebraic expressions and aimed at supporting students in making a transition from arithmetic to beginning algebra. The study was conducted with…

Infants were exposed to symbolic gestures from their parents beginning at 11 months of age. In bimonthly interviews, mothers reported their infants' use of gestures and words. Results indicated a smaller but reliable difference between the onset of infants' use of symbolic gesture and the onset of their use of words than earlier research…

Presents a longitudinal case study of one girl's artistic development from age 2 to 6 years to illustrate the interplay between the child's symbolic development and the social context in which she draws. Considers the observer-researcher as a "co-constructor" of artistic development, highlighting the need for models of development that integrate…

This longitudinal study investigated the ways in which two groups of eight students used spreadsheets to represent and solve algebra problems and related this to their previous arithmetical experiences and evolving use of symbolic language. The spreadsheet environment supported students to move from specific to general thinking. Includes story…