The current literature suggests that the use of Husserl’s and Heidegger’s approaches to phenomenology is still practiced. However, a clear gap exists on how these approaches are viewed in the context of constructivism, particularly with non-traditional female students’ study of mathematics. The dissertation attempts to clarify the constructivist role of phenomenology within a transcendental framework from the first-hand meanings associated with the expression of the relevancy as expressed by interviews of six nontraditional female students who have studied undergraduate mathematics. Comparisons (...) also illustrate how the views associated with Husserl’s stance on phenomenology inadvertently relate to the stances of the participants interviewed as part of the study. The research questions focus on the emotional association with studying mathematics and how pre-conceived opinions regarding the study of mathematics may have influenced the essences of the experiences of the participants who have studied collegiate-level mathematics. The essences of the experiences of the participants are analyzed using bracketing and epoché to ensure personal biases of the researcher do not affect the interpretation of the expressed essences of the participants. Data collection is accomplished through two series of qualitative interviews seeking the participants’ firsthand impressions of how they view the way instructional design is oriented with regard to mathematics. Additional questions seek to illuminate the participants’ point of view regarding their emotional association with mathematics as well as their opinions and theoretical perspectives on the study of mathematics. (shrink)

In this paper I shall suggest that philosophy which bases itself firmly inlife is incompatible with idealism. The example of such a philosophy to be discussed is the later work of Wittgenstein, and I shall define in what sense this is ‘based in life’, with particular reference to his concept of ‘Lebensform’, or ‘life-form’. I shall understand idealism to be, in general terms, the doctrine that idea is the primary, or the only, category of being. Various kinds of idealism may (...) then be distinguished according to the precise definition each gives of ‘idea’, and of the category, if any, which is held to be less fundamental. Thus, in brief, in Platonic idealism, absolute immaterial being is ontologically prior to the changing world given to sense-experience; in the idealistic systems of more modern thought, mind is more fundamental than matter; or again, subject, or spirit, is more fundamental than object. While the various systems of idealism are properly classed together so far as they assign priority to the concept idea , it is clear that they differ in their interpretations of the concept. When one has in mind these differences, it is of course misconceived to speak of idealism as a single doctrine; nevertheless, it is plausible to suppose that philosophers have been led to apply the term ‘idealism’ to various systems despite their differences, because there is indeed a common tendency of thought to be found in them. The present paper takes this supposition as a working hypothesis, with the particular aim of establishing that philosophy based in life is incompatible with philosophy based in idea, whatever be reasonably meant by ‘idea’. In brief my argument will be this: that life is no idea. (shrink)

In this paper I shall suggest that philosophy which bases itself firmly inlife is incompatible with idealism. The example of such a philosophy to be discussed is the later work of Wittgenstein, and I shall define in what sense this is ‘based in life’, with particular reference to his concept of ‘Lebensform’, or ‘life-form’. I shall understand idealism to be, in general terms, the doctrine that idea is the primary, or the only, category of being. Various kinds of idealism may (...) then be distinguished according to the precise definition each gives of ‘idea’, and of the category, if any, which is held to be less fundamental. Thus, in brief, in Platonic idealism, absolute immaterial being is ontologically prior to the changing world given to sense-experience; in the idealistic systems of more modern thought, mind is more fundamental than matter; or again, subject, or spirit, is more fundamental than object. While the various systems of idealism are properly classed together so far as they assign priority to the concept idea, it is clear that they differ in their interpretations of the concept. When one has in mind these differences, it is of course misconceived to speak of idealism as a single doctrine; nevertheless, it is plausible to suppose that philosophers have been led to apply the term ‘idealism’ to various systems despite their differences, because there is indeed a common tendency of thought to be found in them. The present paper takes this supposition as a working hypothesis, with the particular aim of establishing that philosophy based in life is incompatible with philosophy based in idea, whatever be reasonably meant by ‘idea’. In brief my argument will be this: that life is no idea. (shrink)