Replacing points by compacta in neural network approximation

It is shown that cartesian product and pointwise-sum with a fixed compact set preserve various approximation-theoretic properties. Results for pointwise-sum are proved for F-spaces and so hold for any normed linear space, while the other results hold in general metric spaces. Applications are given to approximation of L_p-functions on the d-dimensional cube, 1?p<∞, by linear combinations of half-space characteristic functions; i.e., by Heaviside perceptron networks.     

Copyright or copyleft?: An analysis of property regimes for software development

Two property regimes for software development may be distinguished. Within corporations, on the one hand, a Private Regime obtains which excludes all outsiders from access to a firm's software assets. It is shown how the protective instruments of secrecy and both copyright and patent have been strengthened considerably during the last two decades. On the other, a Public Regime among hackers may be distinguished, initiated by individuals, organizations or firms, in which source code is freely exchanged. It is argued that copyright is put to novel use here: claiming their rights, authors write ‘open source licenses’ that allow public usage of the code, while at the same time regulating the inclusion of users. A ‘regulated commons’ is created. The analysis focuses successively on the most important open source licenses to emerge, the problem of possible incompatibility between them (especially as far as the dominant General Public License is concerned), and the fragmentation into several user communities that may result.     

Towards a truer multicultural science education: how whiteness impacts science education

Cultural Studies of Science Education - The hope for multicultural, culturally competent, and diverse perspectives in science education falls short if theoretical considerations of whiteness are...     

Enhancement and constraint: student-mothers’ experiences of higher vocational education,emotion and time

Student-mothers who study vocationally related higher education programmes are a relatively under-researched group. Specifically, there is a paucity of research into the emotions that these learners experience. This article discusses a qualitative investigation that examined the emotional narratives that a group of vocational student-mothers offered. They were studying for a foundation degree for teaching assistants at a university in the North of England. The student-mothers were largely found to have experienced positive emotions. However, familial and workplace guilt had also been encountered. These emotions emanated from notions about how family and workplace time should be used. Student-mothers managed this cognitive dissonance by stressing the reciprocal relationships that existed between their studies, family lives and school work. However, for many of these learners familial and workplace guilt was a strong and continuing emotion.     

The Interplay of Psychology and Mathematics Education: From the Attraction of Psychology to the Discovery of the Social

It is a rather safe statement to claim that the social dimensions of the scientific process are accepted in a fair share of studies in the philosophy of science. It is a somewhat safe statement to claim that the social dimensions are now seen as an essential element in the understanding of what human cognition is and how it functions. But it would be a rather unsafe statement to claim that the social is fully accepted in the philosophy of mathematics. And we are not quite sure what kind of statement it is to claim that the social dimensions in theories of mathematics education are becoming more prominent, compared to the psychological dimensions. In our contribution we will focus, after a brief presentation of the above claims, on this particular domain to understand the successes and failures of the development of theories of mathematics education that focus on the social and not primarily on the psychological.     

Within‐High‐School Versus Across‐High‐School Scaling of Admissions Assessments: Implications for Validity and Diversity Effects

Previous research has established that SAT scores and high school grade point average (HSGPA) differ in their predictive power and in the size of mean differences across racial/ethnic groups. However, the SAT is scaled nationally across all test takers while HSGPA is scaled locally within a school. In this study, the researchers propose that this difference in how SAT scores and HSGPA are scaled partially explains differences in validity and subgroup differences. Using a large data set consisting of 170,390 students each of whom matriculated at one of 114 separate colleges, the researchers find that awarding SAT scores by ranking SAT within a high school generally results in substantial reduction in the size of subgroup mean differences for this predictor. However, validity for predicting first‐year GPA is also reduced by a small amount. Conversely, placing HSGPA onto a nationally normed metric through the use of multiple regression procedures results in a moderate increase in the size of subgroup mean differences, while also producing a small increase in validity. Taken together, these findings suggest that differences in predictor scaling can partially explain differences in the size of subgroup mean differences between HSGPA and SAT scores and have implications for predictive power.     

Public purpose and the preparation of teachers for rural schools

Abstract

Rural communities need rural teachers who can “ground” traditional school subjects in local realities and dilemmas and at the same time fashion instructional approaches consonant with larger intellectual, ethical, and social purposes. Such teachers are assets rather than burdens to their communities. Only such teachers can cultivate an ethic of responsibility for the health and vitality of the communities of which they and their students are critical components.

This essay examines the role of the university in professionalizing rural teachers. It contends that narrowly utilitarian ends prevail in teacher education programs, and that, in the absence of a substantive definition of educations public purpose, this instrumentalism creates teachers who are ill‐prepared to contribute in meaningful ways to the intellectual life of the communities in which they work. Teacher preparation programs should abandon the instrumental focus. Programs that prepare rural teachers, in fact, confront unique challenges and opportunities to include three themes at their centers: Sustainability, Social Justice, and Democracy.