To investigate whether argument mapping, with a use of RationaleTM software, cultivates students’ critical thinking skills, an experimental research was designed and implemented in Cyprus’ primary schools. Thirty 6 th grade primary classes participated in the research for a period of nine months. Three groups of ten classes each were formed, of which two were the experimental groups and the thi...

These experiments are explicit, designed to give clear outcomes, and have significant impact on educational practice. The first group explores difficulties caused by mixing cognitively distinct activities. Topics are multiplication of polynomials, word problems, and customary notation and usage. The second group explores subliminal (invisible or unanticipated) learning. Topics are algebra in el...

L Introduction While it is still a general belief in society that mathematics is an "exact science", at the educational level it is generally accepted that it may be just as important to learn about the mathematics of approximations, errors, expectations, statistics, probabilities, etc. This can be seen today in mathematics cmricula at all levels but was not so clear just a few years ago. It to...

riculum Framework of 1985. At the elementary school level, broadening the primary focus of the mathematics curriculum on arithmetic skill and learning through memorization to develop mathematical thinking and understanding of concepts as well will require a major shift in emphasis for many teachers. Unless teachers themselves are given an opportunity to reconsider their own images of mathematic...

Education and learning take place in a situation that is heavily influenced by the culture of the learners’ context because this context affects a learner’s cognitive processes in learning. Hence, to improve the conditions for learning, e-learning environments and their contents have to be presented and interact with the learner in a culturally appropriate way. Therefore, an e-learning system f...

This paper is concerned with the role of language in advanced mathematical thinking. It is argued that some behaviors may arise from the application to mathematical language of some conventions of ordinary language. Grice’s Cooperative Principle (CP) is introduced in order to explain some episodes that are not easily accounted for in terms of semantics only. Some examples of (undue) application...

The Mathematics Education Markup Language (MeML) is central to the Web-based Mathematics Education (WME) [12] framework (see Figure 1) under investigation at ICM/Kent. Defined in XML syntax, MeML provides effective and expressive markup elements to represent and structure mathematics education pages that may also contain XHTML and MathML [6] elements. MeML aims to empower mathematics teachers, ...