The purpose of this study is to contribute insights into how collaborative activity can help promote students' mathematical understanding. A group of six high school students (15- to 16-year olds) worked together on a challenging probability task as part of a larger, after-school, longitudinal study on students' development of mathematical ideas…

Study analyzed the written protocols of 900 elementary mathematics students from 5 achievement levels utilizing a 15-item arithmetic and problem-solving test administered in grade 3 and again in grade 6. Correct solutions resulted from similar strategies regardless of the achievement level, yet incorrect solutions ensued from many incorrect…

This paper examines 6th grade children's local conceptual development and mathematization processes as they worked a comprehensive mathematical modeling problem (creating a consumer guide for deciding the best snack chip) over several class periods. The children and their teachers were participating in a 3-year longitudinal teaching experiment in…