How do teachers and students create classroom environments in which mathematical errors are regarded as important opportunities for learning? What norms support students in learning from their errors, and how to these norms develop in a classroom community? This dissertation addresses these questions through a longitudinal case study investigating…

When solving basic number fact problems (e.g., 4x5=20), students with mathematical learning disabilities (MLDs) make qualitatively different kinds of errors than both typically achieving and low-achieving students. This study explores the origin of these qualitative differences through a detailed analysis of one student with an MLD. Data were…

The Soviet Union collapsed more than 20 years ago, but the traces left in occupied countries by this monstrous system still affect the lives of millions of people. Under the glittering surface of newsworthy events that regularly appear in the mass media, there are many other wounds hard to heal. The system of education is one of the social…

This report: (1) describes the mathematics test given to Year 8 students in the Mt. Druitt Longitudinal Study in 1986; (2) describes and discusses the results; (3) analyzes errors made by the students; and (4) suggests some possible interventions to address the errors made by students. The study dates from 1975 when funds were obtained to provide…

This report: (1) describes the mathematics test given to Year 9 students in the Mt. Druitt Longitudinal Study in 1987; (2) describes and discusses the results; (3) analyzes errors made by students; (4) analyzes the responses to items common to the 1986 and 1987 tests; and (5) suggests some interventions to address the errors made by students. The…