Inferentialism as an alternative to socioconstructivism in mathematics education

The purpose of this article is to draw the attention of mathematics education researchers to a relatively new semantic theory called inferentialism, as developed by the philosopher Robert Brandom. Inferentialism is a semantic theory which explains concept formation in terms of the inferences individuals make in the context of an intersubjective practice of acknowledging, attributing, and challenging one another’s commitments. The article argues that inferentialism can help to overcome certain problems that have plagued the various forms of constructivism, and socioconstructivism in particular. Despite the range of socioconstructivist positions on offer, there is reason to think that versions of these problems will continue to haunt socioconstructivism. The problems are that socioconstructivists (i) have not come to a satisfactory resolution of the social-individual dichotomy, (ii) are still threatened by relativism, and (iii) have been vague in their characterization of what construction is. We first present these problems; then we introduce inferentialism, and finally we show how inferentialism can help to overcome the problems. We argue that inferentialism (i) contains a powerful conception of norms that can overcome the social-individual dichotomy, (ii) draws attention to the reality that constrains our inferences, and (iii) develops a clearer conception of learning in terms of the mastering of webs of reasons. Inferentialism therefore represents a powerful alternative theoretical framework to socioconstructivism

Selfless Self-Love

Item does not contain fulltextThis paper challenges the idea that there is a natural opposition between self-interest and morality. It does by developing an account of self-love according to which we can have self-regarding reasons that (1) differ substantially from the standard conception of self-interest and that (2) share enough crucial features with moral reasons to count as morally respectable. The argument involves three steps. The first step concentrates on the idea of a moral point of view as a means to distinguish between reasons that could be morally respectable and those we have reason to distrust as not morally respectable. The second step discusses Harry Frankfurt's work on love, in order to develop an attitude of selfless love as a source of morally respectable reasons. The third step introduces the idea of an alternative of oneself to show that selfless self-love is a coherent conception of an attitude that provides one with self-regarding and self-grounded reasons that are also morally respectable

The Limits of Autonomy: Ideals in Care for People with Learning Disabilities

In the Netherlands, autonomy is a key ideal in visions of care for people with learning disability. This ideal can lead to tension when clients, in the opinion of their caregivers, overuse alcohol or drugs. In this article, we analyze how professional caregivers understand the ideal of autonomy in care for people with learning disability, and articulate the tacit attempts of caregivers to provide good care, which can be understood as care for relationships. This relational view includes caregivers, care recipients, and their networks and infrastructures in the vision of car

A comparative analysis of pediatric uroflowmetry curves

This study was conducted to try to objectify assessment of pediatric uroflowmetry curves. Nine professionals in pediatric incontinence care judged 480 pediatric uroflows. On a 1-5 scale, where 1 = anomalous and 5 = normal, uroflows were assessed on four items: staccato, interrupted, flow time and obstruction. Eighty uroflows were re-evaluated for intra-observer agreement. After staccato and interrupted flow had been defined more sharply, another 100 uroflows were analyzed. Cohen's Kappa test for nominally classified data was applied to assess agreement. Kappa value of <0.20 denoted poor agreement, 0.21-0.40 fair, 0.41-0.60 moderate, 0.61-0.80 substantial and 0.81-1.0 perfect or almost perfect agreement. A second analysis was done using a 3 point scale, anomalous, intermediate and normal. For interobserver agreement, Kappas were 0.45 for staccato flow, 0.67 for interrupted, 0.59 for flow time, and 0.66 for obstruction. For intra-observer agreement, Kappas were 0.47 for staccato, 0.65 for interrupted, 0.55 for flow time, and 0.65 for obstruction. On a three-point scale, anomalous, intermediate, and normal, interobserver agreement was equal to 0.80 or above. In the second 100 uroflows, the interobserver agreement Kappas were 0.44 for staccato, 0.95 for interrupted, 0.71 for flow time and 0.73 for obstruction. Moderate to substantial agreement on uroflowmetry curves can be reached, except for staccato. Agreement increases if staccato and interrupted flows are defined more sharply. Staccato is defined as three or more peaks and troughs of more than the square root of maximal flow without touching 0, whereas interrupted flow needs at least one 0 passage. In a normal, uninterrupted uroflow, flow time is under 15  se