In modern science, the synthesis of "nature/mind" in observation, experiment, and explanation, especially in physics and biology increasingly reveal a non-linear totality in which subject, object, and situation have become inseparable. This raises the interesting ontological question of the true nature of reality? Western science as seen in its…

In this paper we theorize a framework for discussing quality assurance of globalized models of education used internationally. The philosophical assumption that homogeneity of perspectives achieves objectivity in practice is argued against using the examples of (a) Brain drain, and (b) Profit over quality. We present a coherent real world scenario…

Eastern philosophies of education such as Confucianism and Taosim advocate the use of silence in the teacher-pupil tradition of pedagogy. We investigate contemporary classrooms in Korea, and study whether teachers in Korea today incorporate this method implicitly or explicitly in their classrooms. Empirical data in the form of video-taped…

The Sami are an indigenous people of the Arctic, and through a resolution of the United Nations, Norway is bound to take care of the Sami culture and language. Since 1987 the Sami have had their own curriculum, but they have no mathematics syllabus. In this paper we summarize the legal acts that take care of the Sami culture within the Norwegian…

The purpose of this article is to report on the importance of providing pre-service and in-service teachers with experience and specific training in critical thinking skills. The essential concepts in elementary mathematics curricula can be augmented to include and cultivate critical thinking skills that have tremendous ramifications for future…

The paper by White in this issue of Interchange contains an interesting model for a global educational perspective based on the writings of Aurobindo and Pierre Teilhard de Chardin. White proposes a foundation for this new perspective based on the synthesis of Aurobindo's and de Chardin's theories of global, social, and conscious evolution. In our…

In this commentary, some remarks are offered on David Pimm, Mary Beisiegel, and Irene Meglis' article "Would the Real Lakatos Please Stand up." The commentary focuses on relatively recent developments in the philosophy of mathematics based on the work of Lakatos; on theory development in mathematics education; and offers critique on whether…

This paper explores the wide range of mathematics content and processes that arise in the secondary classroom via the use of unusual counting problems. A universal pedagogical goal of mathematics teachers is to convey a sense of unity among seemingly diverse topics within mathematics. Such a goal can be accomplished if we could conduct classroom…

The tendency to generalize from specific experiences leading to new, more abstract concepts is a natural aspect of human thought. Generalizations are the end result of an inductive process that begins with the identification of similarities in seemingly disparate situations. It is the existence of such generalizations that makes it possible for us…