Online research in philosophy

It is argued that the philosophical and epistemological beliefs about the nature of mathematics have a significant influence on the way mathematics is taught at school. In this paper, the philosophy of mathematics of the NCTM's Standards is investigated by examining is explicit assumptions regarding the teaching and learning of school mathematics. The main conceptual tool used for this purpose is the model of two dichotomous philosophies of mathematics-absolutist versus- fallibilist and their relation to mathematics pedagogy. The main conclusion is (...) that a fallibilist view of mathematics is assumed in the Standards and that most of its pedagogical assumptions and approaches are based on this philosophy. (shrink)

This paper describes an attempt to develop a program for teaching history and philosophy of mathematics to inservice mathematics teachers. I argue briefly for the view that philosophical positions and epistemological accounts related to mathematics have a significant influence and a powerful impact on the way mathematics is taught. But since philosophy of mathematics without history of mathematics does not exist, both philosophy and history of mathematics are necessary components of programs for the training of preservice as well as inservice (...) mathematics teachers. (shrink)

One of the main characteristics of the post-modern society is the democratized diffusion of knowledge even on issues of which the average citizen could hardly be aware: social, cultural, ecological and economical risks. However, many philosophers and thinkers (Chomsky, Barber, Zizek, Sartori) argue that we live rather in information societies than in knowledge ones, because the content of information on political actions of major importance are ideologically-oriented and therefore misleading. In the present paper we study two examples of political and (...) scientific rhetoric, trying to interpret not only their political and moral determinants but also their possible impact on international welfare. Aristotle and modern semiotic theories will provide the methodological tools of thisanalysis. (shrink)