We examined the relationship between pedagogical content knowledge (PCK) test scores and elementary school teachers' psychological variables, conceptions of teaching and learning and test utilization strategy, for mathematics. Through a web-based survey, participants responded to a six-item descriptive PCK test and to inventories of conceptions of…

According to the Programme for International Student Assessment, functions constitute an important part of mathematical literacy. In Japan, students start learning about bivariate relationships in the fourth grade (at the age of 9). However, reports suggest that elementary school students and lower-level secondary school (junior high) students…

Teaching mathematics online has been highlighted as one of the solutions to the current crisis for education caused by the COVID-19 virus pandemic and subsequent school closures. However, we do not know what attitudes and experience teachers have towards online teaching. The aim of this study was to gain insights into how Japanese teachers were…

These proceedings contain the papers of the 13th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2016), October 28-30, 2016, which has been organized by the International Association for Development of the Information Society (IADIS), co-organized by the University of Mannheim, Germany, and endorsed by the…

The aim of the 2018 International Association for Development of the Information Society (IADIS) Cognition and Exploratory Learning in the Digital Age (CELDA) conference was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There have been advances in both cognitive…

The Trends in Mathematics and Science Study (TIMSS) is a time-series database, which provides an early warning for necessary curricular reforms in mathematics and science subjects and offers an opportunity for schools and policymakers to reflect on the effectiveness of educational changes. It provides vital data for governments and researchers to…

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) identifies the strategic use of appropriate tools as one of the mathematical practices and emphasizes the use of pictures and diagrams as reasoning tools. Starting with the early elementary grades, CCSSM discusses students' solving of problems "by drawing." In later…

Problem posing, by which learners create new problems by themselves, is an important activity in mathematics education. However, novice learners have difficulty in posing problems, particularly when formulating appropriate solution structures of problems. Although they are provided with example problems that can serve as hints for composing novel…

The authors comment on the article by Morris and Hiebert in three ways. First, they add thoughts about why improvement efforts often focus on teachers, rather than teaching. Second, they offer evidence from U.S. lesson study research that focus on teaching can improve both students' learning and teachers' learning. Finally, they suggest that the…

What is the product of Lesson Study? Lesson Study is a scientific activity for teachers based on the methodology introduced in the 1880s. In Japan, research topics for Lesson Study are usually shared through the regular revisions of the curriculum and the research movement of several societies. As a result of teachers' efforts to overcome…

The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…

From 3rd to 5th March 2008 the International Association of Technology, Education and Development organised its International Technology, Education and Development Conference in Valencia, Spain. Over a hundred papers were presented by participants from a great variety of countries. Summarising, this book provides a kaleidoscopic view of work that…

Describes a collaborative project that allows students to explore the role of culture in child development and education through an in-depth study of mathematics education in the United States and Asia. Reports that the assignment is effective in helping students to understand cultural influences and the ecological model of child development. (DSK)

Shares the results of a study in which 204 first grade students were interviewed. Interprets the findings in light of Piaget's emphasis on abstraction. Concludes that children represent ideas at their respective levels of abstraction. (Author/ASK)

Mathematics educators in Japan have traditionally emphasized mathematical perspectives in research and practice. This paper features an account of changes in mathematics education in Japan that focus on the possibilities of individual students as well as their mathematical ways of thinking. Students' mathematical thinking, mathematical…