For Freudenthal, the practice of mathematics in the curriculum is not a set of predetermined theories, goals and means. On the contrary, it is always associated with positively understood phenomenological processes in mathematics, as the curriculum is often used in conjunction with the transformation or development of practice. For Freudenthal…

Research in cognitive psychology and science education has acknowledged two antagonistic theoretical perspectives concerning students' knowledge. One perspective considers students' knowledge as coherent or theory-like, explaining the learning process in terms of framework theories and stable mental models, whereas the other considers it…

The theme of the 39th proceedings of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) conference was "Synergy at the Crossroads: Future Directions for Theory, Research, and Practice." The metaphor of crossroads was inspired by the conference venue--the historic Indianapolis Union…

The purpose of this study is to investigate the views and opinions of e-learning experts regarding future trends in the e-learning arena. The Delphi technique was chosen as a method of study. This technique is an efficient and effective group communication process designed to systematically elicit judgments from experts in their selected area of…

Bell-curve thinking, as a model of distribution of success and failure in society, enjoys a perennial (ahistorical, objective, and law-like) status in education. As such it provides a rationale for sorting (tracking or streaming) practices in education, which has led many educators to criticize both bell-curve thinking and associated sorting…

Probability-based inference in complex networks of interdependent variables is an active topic in statistical research, spurred by such diverse applications as forecasting, pedigree analysis, troubleshooting, and medical diagnosis. This paper concerns the role of Bayesian inference networks for updating student models in intelligent tutoring…

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…