Children's Developing Mathematics in Collective Practices: A Framework for Analysis

This article presents a cultural-developmental framework for the analysis of children's mathematics in collective practices and illustrates the heuristic value of the framework through the analysis of videotaped episodes drawn from a middle-school classroom. The framework is presented in 2 related parts. The first targets the children's emerging mathematical goals in collective practices, with a particular focus on the complex role that artifacts play in children's emerging goals. The second part focuses on children's developing mathematics that takes form in their goal-directed activities: (a) Microgenetic analyses concern the process whereby children structure cultural forms like artifacts to serve particular functions as they accomplish emerging mathematical goals; (b) sociogenetic analyses concern the spread or travel of mathematical forms and associated functions within a community of individuals; and (c) ontogenetic analyses concern the interplay between the forms that children use and the functions that they serve over the course of children's development. The analyses of the classroom episodes points to the promise (and limitations) of the framework as a method for furthering our understanding of the interplay between social and developmental processes in children's mathematics.     

Title I: The Evolving Research Base

For the past 35 years, Title I of the Elementary and Secondary Education Act has been the largest and most important federal resource for reforming high-poverty schools. Drawing on recent research, this article documents what we know about Title I's overall effectiveness and discusses how it may become a more effective intervention. The author concludes by making 3 policy recommendations for fostering better research and better programs: implement a rigorous and uniform national accountability system; support continued research and development of replicable programs and methods for improving schooling for disadvantaged children; and encourage large-scale randomized experiments of promising programs and practices.     

Student and Teacher Outcomes of The Superkids Quasi-Experimental Study

In this article, we report kindergarten student and teacher outcomes from a quasi-experimental evaluation of The Superkids, a systematic, phonics-based, comprehensive K-2 reading program. We recruited 23 kindergarten teachers to implement The Superkids program from a diverse, yet predominantly ethnic minority, group of classrooms from across the United States. We then employed a precise computerized matching methodology to derive a statistically equivalent comparison group of 20 control teachers who implemented their standard “business as usual” core literacy program. Multilevel analyses of classroom-level effects of The Superkids revealed achievement advantages of more than 1/10 of a standard deviation, d = 0.11, to 1/4 of a standard deviation, d = 0.25, for the treatment group on the 5 subtests from the Stanford Achievement Test, 10th edition (SAT-10). Four measures of teachers’ self-reported satisfaction with the core reading program used in their classrooms also revealed statistically significant advantages for Superkids of nearly three-quarters of a standard deviation, d = 0.72, to nearly 1½ standard deviation units, d = 1.49.     

The context of their lives

Abstract

This paper explores the Ecology of Human Development Model (Bronfenbrenner, 1979) as applied to the lives of students enrolled in the Early Childhood Education program at James Madison University (Virginia). This model provided insights into who our students are, their experiences, beliefs and values and how they define themselves; secondly, the process of reflection provided an opportunity for students to examine their lives as part of a larger social context; and thirdly, by valuing the process, it is hoped that students would recognize the importance of coming to know the children they teach. It is imperative that students are well prepared for teaching an increasingly diverse population (NCATE Standard I.E.2). Our belief is that in order for prospective teachers to appreciate diversity in classrooms, they need first to examine the context of their own lives. © 2001 Elsevier Science Inc. All rights reserved.     

Potentiation of responding on a VR schedule by a stimulus correlated with reinforcement: Effects of diffuse and localized signals

In Experiment 1, rats were trained to leverpress on a variable ratio (VR) 30 schedule with a 500-msec delay between the reinforced response and food delivery. Subjects that experienced a signal during the delay responded faster than did control subjects that received the stimulus un-correlated with reinforcement. Higher response rates were obtained when the stimulus used to signal reinforcement was auditory rather than visual. Experiments 2 and 3 compared the effects of signaling reinforcement with either a localized or a diffuse light on responding maintained by VR schedules of reinforcement. Elevated response rates were observed with the diffuse stimulus, but the localized stimulus failed to produce such potentiation. Experiment 3 also examined the conditioned reinforcing power of localized and diffuse visual stimuli. These results are discussed with reference to (1) theories of selective association and sign tracking and (2) their implications for current theories of signaling reinforcement.     

Enacting silence: Residual categories as a challenge for ethics,information systems,and communication

Residual categories are those which cannot be formally represented within a given classification system. We examine the forms that residuality takes within our information systems today, and explore some silences which form around those inhabiting particular residual categories. We argue that there is significant ethical and political work to be done in exploring residuality.