Collaborative learning has long been proved to be a crucial agent for enhancing students' social skills, problem-solving abilities and individual learning performance. Understanding how students move from one phase to another in their collaboration process can inform educators of how best to facilitate such learning. However, this is still an area…

A web-based two-tier test (WTTT-NS) which combined the advantages of traditional written tests and interviews in assessing number sense was developed and applied to assess students' answers and reasons for the questions. In addition, students' major misconceptions can be detected. A total of 1,248 sixth graders in Taiwan were selected to…

The authors compared the performance of students who received integration of number sense activities in instruction with students who received instruction using regular mathematics textbooks. Two classes of third-grade students (N = 60) were randomly assigned to experimental and control groups. Students in each group were given a pretest, post I…

Noting that little is known about young children's informal mathematical knowledge and that such knowledge may contribute to national differences in mathematics achievement, this study examined Taiwanese and American preschool children's informal mathematical knowledge and the type of mathematical activities they encounter in everyday life. Data…

The purpose of this paper is to investigate how collaborative problem solving affects individual mathematical problem-solving ability. Quantitative and qualitative evaluations were conducted, focusing on four students in the same fourth grade mathematics class in Taipei, Taiwan, as they participated in two steps of individual problem-solving…