This study aims to establish a theory for planning and practicing mathematics instruction that enables children to actively construct mathematical knowledge. Four types of constructive interactions are recognized on the basis of teaching practice. Processes of the constructive interactions and the requirements for realization of effective…

Describes a method for teaching multiplication of fractions based on Piaget's constructivism. Instead of teaching the algorithm of multiplying the numerators and denominators, students are presented with many problems and ask to invent their own ways of solving them. (DDR)

Focuses on the familiar problem of students' understanding of elementary electrical circuits from a much neglected point of view. Suggests that the patterning commonly found in students' ideas might have its roots in the cognitive processing with which students operate their mental models of d.c. electrical circuits. Studies Japanese 10-11 year…

Examines and identifies students' mental models of an abstract mathematical concept regarding intuition. Observes how students think reflectively on their mental models in a whole-class discussion in terms of logical thinking. (DDR)

Examines the performance of children in different grades as they attempt to solve simple equations involving addition and subtraction of integer numbers. The extended task involves creating a story that matches the equations. (DDR)

The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…

The IADIS CELDA 2012 Conference intention was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There had been advances in both cognitive psychology and computing that have affected the educational arena. The convergence of these two disciplines is increasing at a…