International research in the field of education focuses on the approach and use of mental knowledge-related mechanisms. In the educational research in Romania, we see the absence of studies focused on revision, analysis, and summary of the literature on the concept of representation and a shortage of studies tackling issues concerning creation of…

Semiotic representations have been an important topic of study in mathematics education. Previous research implicitly placed more importance on the development of institutional representations of mathematical concepts in students rather than other types of representations. In the context of an extensive research project, in progress since 2005,…

This paper reports on a case-study design experiment in the domain of fraction as number-measure. We designed and implemented a set of exploratory tasks concerning comparison and ordering of fractions as well as operations with fractions. Two groups of 12-year-old students worked collaboratively using paper and pencil as well as a specially…

In order to make a dramatic change in the way teachers approach science writing, the authors found it necessary to address both science instruction as a whole and the use of writing during various stages. To guide them in this endeavor and communicate a concrete idea of an ideal foundation for highly effective science writing to teachers, the…

This paper presents a new model for simulating procedural knowledge in the problem solving process with our ontological system, InfoMap. The method divides procedural knowledge into two parts: process control and action performer. By adopting InfoMap, we hope to help teachers construct curricula (declarative knowledge) and teaching strategies by…