Many primary school students have difficulties understanding mathematical equivalence with considerably poorer performance in some countries than in others. However, students' formal understanding of equivalence has significant and long-lasting effects, as it predicts arithmetic and algebra achievement throughout school years. Currently, little is…

The final results of the research which was held in the Republic of Buryatia, Mongolia and China are represented in the article. Russia is represented by the Republic of Buryatia, one of the multicultural regions of our country, where representatives of more than a hundred native people coexist peacefully with people of other nationalities, mostly…

Collaborative problem-solving learning (CPS) is a critical and necessary instructional activity across educational and cultural settings, but its application in the classrooms and impact on students' learning are shaped by the culture it is blended in. By utilizing the Programme for International Student Assessment (PISA) 2015 Collaborative…

Interactive problem solving and learning are priorities in contemporary education, but these complex processes have proved difficult to research. This project addresses the question "How do we optimise social interaction for the promotion of learning in a mathematics classroom?" Employing the logic of multi-theoretic research design,…

This study investigates Chinese and U.S. teachers' construction and use of pedagogical representations surrounding implementation of mathematical tasks. It does this by analyzing video-taped lessons from the Learner's Perspective Study, involving 15 Chinese and 10 U.S. consecutive lessons on the topic of linear equations/linear relations. We…

This study explores factors that influence problem-solving coping style across cultures. There was no significant difference in applying problem solving across U.S., Taiwanese, and Chinese samples. The effective predictors of problem solving in the U.S. and Chinese samples were self-efficacy and trait resilience, respectively. In the Taiwanese…

International students, who study a foreign language abroad, experience more adversities than their domestic peers. The social challenges they face include problems with immigration status, isolation, difficulty speaking a new language, and learning unfamiliar customs. There is limited research focused on the coping strategies of these…

This article deals with the roles of variation problems ("one problem multiple solution" and "one problem multiple changes") as used in Chinese textbooks. It is argued that variation problems as an "indigenous" Chinese practice aim to discern and to compare the invariant feature of the relationship among concepts and…

Higher Education is experiencing an increasingly diverse student population. Students bring a range of skills and experiences to their courses; they have different backgrounds and different needs. This fluidity requires an approach to teaching that encompasses the social aspects of learning. It has been suggested that authentic approaches to…

US and China are reforming mathematics teaching by shifting from students' attainment of facts and procedures toward development of competencies in reasoning, communication, connections, and problem solving, and application of these in real life contexts. Differences in students' overall performance, curricula, and teachers' knowledge and…

This study examined how selected school mathematics textbooks in China, Singapore, and USA at the lower secondary grade level represent problem-solving procedures. The analysis of problem-solving procedures was carried out in two layers--general strategies, which adopted Polya's four-stage problem-solving model, and specific strategies, which…

This study compared responses of 20 Chinese and 20 U.S. students to the 9-dot problem, a problem demonstrating the common assumption of nonexistent boundaries. There were significant effects of culture (significantly more Chinese students solved the problem), age, and interaction between culture and age and between culture and sex. (DB)

This study reports on cultural and gender differences in the spatial abilities of children based on the Water Level Task. The Piagetian theory of age-related developmental differences in performance on the Water Level Task was explored with Chinese and Malay children living in Singapore. Results indicate that children in this study did not perform…

This study involved an investigation of the relationship between the kinds of solution representations Chinese and U.S. students use and the sorts of pedagogical representations Chinese and U.S. teachers use during instruction. The findings suggest that the representations teachers use influence the representations their students use and, hence,…

This book contains a compilation of papers presented at the International Conference on Education and New Developments (END 2017), organized by the World Institute for Advanced Research and Science (W.I.A.R.S.). Education, in our contemporary world, is a right since we are born. Every experience has a formative effect on the constitution of the…