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)

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)

Due to its abstract, theoretical nature, the mole concept has been recognized as one of the most difficult topics to teach and learn within the chemistry curriculum. The purpose of this study was to chronicle the development of high school students' conceptions of the mole following a period of instruction in a chemistry class. This investigation…

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…