This paper contributes to the Symposium: "Research Methods Involving Children's Drawings in Mathematical Contexts" by exploring the use of digital pens as a data gathering tool. The availability of digital recording devices has been a boon to researchers wanting to capture the real-time dynamics of a research situation. When capturing a…

This paper compares the counting and whole number knowledge and skills of primary school children in Australia and Germany at the end of Grade 1 and Grade 2. Children's learning was assessed using the Early Numeracy Interview and associated Growth Point Framework. The findings highlight substantial differences between the two groups that vary for…

This study analyzes the learning expectations related to grades 1-8 algebra across several U.S. states and high performing TIMSS Asian countries and regions, including Singapore, Taiwan and Japan. In order to narrow and focus the investigation, only one topic within the strand is carefully reported. Based on the official curriculum documents,…

This study investigated variation in students' behavioral engagement across mathematics classes in China and the United States. Student behavioral engagement was examined along with two aspects of the classroom (group size and teacher instructions given about classroom behavior). Video observational data were collected and coded over 1051 time…

The treatment of errors in mathematics classrooms has gained attention in recent years, with many researchers suggesting that errors should be used as starting points for student inquiry into mathematics. In the study reported in this article, we examined how teachers used discourse around errors to generate inquiry by looking at the treatment of…

Most cross-cultural research on Chinese and American children's early mathematical competencies has focused on their understanding of number and number operations. The present study broadened the range of tasks assessed to include geometric shapes, problem solving and logical reasoning, as well as number and numerical operations, in an effort to…