This study documents the inclusive, deliberate, and unintended educational practices in Japan for mathematically gifted students. It also aims to identify various schools' strengths and challenges in improving the mathematics education of these students. Case studies with multisite designs were undertaken in five middle schools selected using…

Mathematical problem solving typically involves manipulating visual symbols (e.g., equations), and prior research suggests that those symbols serve as diagrammatic representations (e.g., Landy & Goldstone, 2010). The present work examines the ways that instructional design of student engagement with these diagrammatic representations may…

With international exams (PISA and TIMSS) producing results every three or four years, there is near continual talk of East Asian dominance in mathematics education. Beyond the reporting of scores, some studies have compared mathematics teaching in these countries with U.S. instruction. However, researchers are not (usually) grade school math…

While representations of 3D shapes are used in the teaching of geometry in lower secondary school, it is known that such representations can provide difficulties for students. In this paper, we report findings from a classroom experiment in which Grade 7 students (aged 12-13) tackled a problem in 3D geometry that was, for them, quite challenging.…

Calls to advance students' ability to engage in mathematical reasoning practices including conjecturing, generalising and justifying (CGJ) place significant new demands on teachers. This case study examines how Mathematics Studio provided opportunities for a team of U.S. middle school teachers to learn about these practices and ways to promote…

Background: As an effort to account for disparities in mathematics performance between American and East Asian middle school students, the present research aims to compare the relationship between learning styles (competitive and cooperative) and mathematics performance among middle school students between the USA and the three top-performing East…

In this article, mathematics teachers in the United States were asked what constitutes a high-quality mathematics lesson. The returned responses varied greatly. This same question was asked of Japanese teachers also. For a clearer picture both American and Japanese teachers were directed to comment on videotaped mathematics lessons taught in both…

Lesson study, a form of school-based professional development widely practiced in Japan, has gained popularity in the United States over the last two decades. However, research on its effectiveness has been limited in scope, typically conducted shortly after the conclusion of the professional learning and focused primarily on the practices of…

This article describes a number of multiplication algorithms from different cultures around the world: Hindu, Egyptian, Russian, Japanese, and Chinese. Students can learn these algorithms and better understand the operation and properties of multiplication.

These proceedings contain the papers of the 14th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2017), 18-20 October 2017, which has been organized by the International Association for Development of the Information Society (IADIS) and endorsed by the Japanese Society for Information and Systems in…

This article discusses mathematics in terms of how Japanese students learn. (Contains 11 figures.)

Presents an overview of the geometry findings of the Third International Mathematics and Science Study (TIMSS) and ways to use problems from the study to assess students' understanding of geometry. (ASK)

Describes three episodes in Sendai, Japan: (1) reasoning with number patterns (grade one); (2) engaging in logical analysis (grade five); and (3) a reason to reason (grade five). Observation of these episodes reinforces importance of the teacher's patience in guiding the lesson and encouraging several alternative solutions from students. Lessons…

The fastest-growing sector of the American school population is the limited English proficient (LEP) students, those students whose native language is not English. When mainstreamed they are usually enrolled in physical education, art, and music classes first. The students then enter mathematics classes under the assumption that mathematics is…

This teaching module with its 80-minute videotape of lessons from U.S., Japanese, and German classrooms is designed to help moderators facilitate discussion among educators. This guide is intended to help moderators make appropriate decisions about sessions and suggest items to consider when discussing the Third International Mathematics and…