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.     

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.     

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.     

A Panic about School Choice

It is now widely recognised that Britain's comprehensive system was never truly comprehensive. Families with sufficient financial capital were always able to ensure the entry of their children to particularly prestigious ‘comprehensive’ schools by purchasing a home within the appropriate catchment areas. According to government rhetoric, recent legislation established a market of schools, removed catchment areas and gave parents greater choice of school. This case‐study examines the workings of the local quasi‐market of schools within a prosperous town (Sutton Coldfield, England) which is part of the larger metropolitan area of the West Midlands. Because of a change in the age of entry to secondary education, Sutton Coldfield was first plunged into the market in 1992. This case‐study shows that the new situation initially caused confusion and anger. Some Sutton Coldfield residents were denied places for their children within the town and were instead offered places for their children in Birmingham working‐class estate schools. The article describes the formation and activities of a local pressure group which opposed these changes, and reports the results of a small‐scale study of a sample of parents’ choice‐making processes in 1993. It is shown that access to financial and cultural capital had become more, rather than less, important in the process of allocating children to secondary schools.     

Exploring sex differences in science enrolment intentions: An application of the General Model of Academic Choice

In many countries there remain substantial sex differences in enrolments in elective science courses, despite concerted efforts in recent years to alleviate them. This paper explores the reasons for these differences by comparing models of male and female enrolment intentions in elective courses in biology, chemistry and physics. The models are based on responses from approximately 450 students from 5 Australian high schools. First, a theoretical model, the Science Enrolment Model, was derived from Eccles and colleagues’ General Model of Academic Choice. Students’ responses were then used to develop empirical models of enrolment intentions in the three elective courses. Analyses for the models were conducted using the LISREL “mean structures” extension. Sex differences in the dependent variables in the models were then attributed to the relevant sets of independent variables. Substantial sex differences were identified in measures of perceived career value, interest and performance expectations in all three models which explained between 70% and 82% of the sex differences in enrolment intentions.