A generalization of the Peano-Baker method

An improvement of the Peano-Baker iterative method (matrizant method) for solving a system of first order linear differential equations with variable coefficients is presented. The new method utilizes the structure of the matrix of coefficients to define iterative schemes which may converge much more rapidly than the traditional method.     

THE EPISTEMIC VALUE OF CURIOSITY

A bstract .  In this essay, Frederick Schmitt and Reza Lahroodi explore the value of curiosity for inquiry and knowledge. They defend an appetitive account of curiosity, viewing curiosity as a motivationally original desire to know that arises from having one's attention drawn to the object and that in turn sustains one's attention to it. Distinguishing curiosity from wonder, the authors explore several sources of the epistemic value of curiosity. First, curiosity is tenacious: curiosity whether a proposition is true leads to curiosity about related issues, thereby deepening our knowledge. Second, it is to some extent biased in favor of topics in which we already have a practical or epistemic interest. Third, and most important, curiosity is largely independent of our interests: it fixes our attention on objects in which we have no antecedent interest, thereby broadening our knowledge. Schmitt and Lahroodi elucidate the value of curiosity by outlining its role in levels of development — an approach indebted to John Dewey's explanation of the value of curiosity. Finally, they raise some questions about the implications of their account for educational practice.     

The moderating effect of instructional conceptions on the effect of powerful learning environments

This study aimed at experimentally investigating the moderating role of instructional conceptions on the effectiveness of powerful learning environments (PLE) designed in line with the four-component instructional design model (4C/ID-model). The study also investigated the influence of learning in a 4C/ID PLE on students’ instructional conceptions. To achieve its goal, a study with a one by one by two pre-test post-test quasi-experimental design was done. Three functionally equivalent classes of students from three similar (secondary technical) schools were randomly exposed to three different treatments. The participants consisted of 129 (47, 41, 41) students. The treatments were one control group with a regular method of teaching, and two experimental groups: a 4C/ID PLE with ICT, and a 4C/ID PLE without ICT. The instructional conceptions questionnaire was administered both in the pre-and the post-test to assess students’ instructional conceptions. Pre- and post-tests contain retention and transfer items. Technical teachers were trained to implement the interventions. In contrast to expectation, findings show no moderating effects of students’ instructional conceptions on the learning environments. Finally, the results indicate that students’ instructional conceptions positively change after implementation of the three interventions. The theoretical, research, and practical implications of the results for the instructional design and technology community as well as educational practice are discussed.     

Interpretative Responses to English Educational Television

The paper is concerned with the need to stimulate and evaluate pupils’ responses to educational television broadcasts in English. In particular, it presents a comparative assessment of written follow‐up work during a series of broadcasts. Case study methods are used within one comprehensive school and involve 49 15‐year‐old pupils. Results suggest that those pupils consistently engaging in small‐group discussion are likely to produce better written work and to develop greater independence in formulating their ideas.     

Social Equity and Access to a Philippine STEM School

Like most developing countries in the world, there is a huge gap in opportunities to access quality science education between students from the high- and low-socioeconomic strata of Philippine society. In establishing its own science, technology, engineering, and mathematics (STEM) high school, despite limited public funding in 1964, the government embarked on a hopeful project for continuously building up its scientific and technological work force to support modern economic development. The initial focus on elite talent development, however, eventually had to give way to legislative reforms that address issues of social equity. Greater accessibility for scholarships by underprivileged students in the provinces was accomplished, first, through the regionalization of its admission system and then, later, through its transformation into a network of science high schools across the nation. In my home country, sustaining equitable access to STEM education also means enhancing school participation through partnerships with community constituents and the private sector.     

Behavioral problems among children whose mothers are abused by an intimate partner

OBJECTIVES: To determine the association between children's exposure to maternal intimate partner violence (IPV) and behavior problems as measured by the parent report version of the Child Behavior Checklist (CBCL). METHODS: The study population was comprised of 167 2- to 17-year-old children of Seattle women with police-reported or court-reported intimate partner abuse. The CBCL normative population served as the comparison group. Risk of behavior problems was calculated among the exposed children, in the presence and absence of a history of reported child maltreatment, relative to the normative population. Multiple logistic regression served as the primary method of analysis. RESULTS: Children exposed to maternal IPV were more likely to have borderline to clinical level scores on externalizing (i.e., aggressive, delinquent) behavior (RR=1.6, 95% CI: 1.2, 2.1) and total behavioral problems (RR=1.4, 95% CI: 1.1, 1.9) compared to the CBCL normative sample after adjusting for age and sex. Children who were exposed to maternal IPV and were victims of child maltreatment were more likely to receive borderline to clinical level scores on internalizing (i.e., anxious, depressed) behaviors (RR=2.6, 95% CI: 1.5, 3.6), externalizing (i.e., aggressive, delinquent) behaviors (RR=3.0, 95% CI: 1.9, 4.0) and total behavioral problems (RR=2.1, 95% CI: 1.2, 3.2) compared to the CBCL normative sample after adjusting for age and sex. CONCLUSIONS: Exposure to maternal IPV is significantly associated with child behavioral problems both in the presence and absence of co-occurring child maltreatment. Appropriate attention to the mental health of children living in households with IPV is needed.     

The books teachers use

Children's Literature in Education -     

Using social network analysis to measure the impact and value of work that takes us beyond institutional boundaries

In educational development, accountability is paramount, in particular for activities that take educational developers away from their institutional boundaries to local, national, and international venues. Educational developers must demonstrate the benefits of such work to the home institution and its constituents. We asked educational developers from around the world to comment on the nature and value of their external work. Their responses made clear that such work expands valuable social networks and, concomitantly, builds social capital. Using these observations, we explain how social network analysis can be used to assess and demonstrate the impact of external work.     

The impact of kindergarten learning-related skills on academic trajectories at the end of elementary school

Recent research indicates that children's learning-related skills (including self-regulation and social competence) contribute to early school success. The present study investigated the relation of kindergarten learning-related skills to reading and math trajectories in 538 children between kindergarten and sixth grade, and examined how children with poor learning-related skills fared throughout elementary school on reading and math. Latent growth curves indicated that learning-related skills had a unique effect on children's reading and math scores between kindergarten and sixth grade and predicted growth in reading and math between kindergarten and second grade. In addition, children with poor learning-related skills performed lower than their higher-rated peers on measures of reading and mathematics between kindergarten and sixth grade, with the gap widening between kindergarten and second grade. Between third and sixth grade, this gap persisted but did not widen. Discussion focuses on the importance of early learning-related skills as a component in children's academic trajectories throughout elementary school and the need for early intervention focusing on children's self-regulation and social competence.