An exploratory study of pre-service middle school teachers’ knowledge of algebraic thinking

Using algebraic habits of mind as a framework, and focusing on thinking about functions and how they work, we examined the relationship between 18 pre-service middle school teachers’ ability to use the features of the algebraic thinking (AT) habit of mind “Building Rules to Represent Functions” and their ability to recognize and interpret the features of the same AT habit of mind in middle school students. We assessed the pre-service teachers’ own ability to use the AT habit of mind Building Rules to Represent Functions by examining their solutions to algebra-based tasks in a semester-long mathematics content course. We assessed the pre-service teachers’ ability to recognize and interpret students’ facility with the AT habit of mind Building Rules to Represent Functions by analyzing their interpretations of students’ written solutions to algebra-based tasks and their ability to plan and analyze AT interviews of middle school students during a concurrent field-based education course. The data revealed that the pre-service teachers had a limited ability to recognize the full richness of algebra-based tasks’ potential to elicit the features of Building Rules to Represent Functions in students. The pre-service teachers’ own overall AT ability to Build Rules to Represent Functions was related to their ability to recognize the overall ability of students to Build Rules to Represent Functions, as exhibited during one-on-one interviews, but not to their ability to recognize the overall ability to Build Rules to Represent Functions exhibited exclusively in students’ written work. Implications for mathematics teacher education are discussed.     

A Structural Equation Model of Parental Involvement,Motivational and Aptitudinal Characteristics,and Academic Achievement

The authors used the structural equation model (SEM) approach to test a model hypothesizing the influence of parental involvement on students' academic aptitudes, self-concept, and causal attributions, as well as the influence of the 3 variables on academic achievement. The theoretical model was contrasted in a group of 12- to 18-year-old adolescents (N = 261) attending various educational centers. The results indicate that (a) parental involvement had a positive and significant influence on the participant's measured characteristics; (b) causal attribution was not causally related to self-concept or academic achievement when the task involved finding causes for success, but, self-concept and causal attributions were found to be significantly and reciprocally related when the task involved finding causes accounting for failure; (c) self-concept was statistically and predominantly causally related to academic achievement, but not vice versa; and (d) aptitude and self-concept accounted for academic achievement, although the effect of self-concept was predominant. These results suggest that in adolescence, cognitive-affective variables become crucial in accounting for academic behavior.     

Students’ Value Orientations,Intuitive Decision Making,and Motivational Interference,and Their Relations to Regret

Students’ learning activities frequently compete with their leisure options, leading to regret after decisions to study. Using a sample of 233 German and 194 Australian undergraduate students, the authors explored possible determinants of the personality construct regret. They investigated whether the level to which students rely on intuition in decision making is negatively connected to the tendency to regret a decision and whether the degree to which during studying students are distracted by leisure incentives (motivational interference) is positively related to regret. Students’ achievement and well-being value orientations are expected to be linked to intuition and interference. In both samples, interference was positively related to regret whereas intuition was negatively related to regret only in the German sample. The authors did not find the expected link between intuition and interference. In both samples, value orientations were related, as expected, to intuition and interference. Regret could possibly be reduced if motivational interference is avoided.     

Turning difficulties into possibilities: engaging Roma families and students in school through dialogic learning

Schools and communities may have a key role in reversing the cycle of inequality that the Roma suffer in Europe. Aiming at reducing existing inequalities, dialogic learning aims to ensure high levels of academic learning for all children, by involving the whole community through egalitarian dialogue. Less well known are the implications of this approach for the Roma in highly marginalised areas. This article presents the results of a longitudinal case study in a Spanish primary school, undertaken as part of the European Union-funded INCLUD-ED Integrated Project. It reports on educational actions grounded in dialogic learning, which have succeeded in engaging families and communities in the school, the classroom and other learning spaces. Based on a dialogic school-based transformation, Roma families participated in children’s learning activities and decision-making spaces. We explore how these actions involving Roma families are developed and the effect they may have in improving learning and engagement.     

Predictors of Alzheimer's Disease Caregiver Depression and Burden: What Noncaregiving Adults Can Learn From Active Caregivers

This study examined similarities and differences between active caregivers (adult children and spouses whose family member had Alzheimer's disease) and not-as-yet caregiving adults (adult children and spouses whose family members are older, but do not as yet suffer from Alzheimer's disease). The objective was to determine what factors predict depressed mood and caregiver burden. Findings indicated that there were both differences and similarities between active caregivers and not-as-yet caregivers. While personality (extraversion) and anxiety about their own aging were the major predictors of depression for active caregivers, perceptions of a lack of social support was the major predictor of depression for not-as-yet caregivers. Regarding caregiver burden, perceived lack of social support, internal attributions of causality, and anxiety about their own aging were predictors for both groups. These findings are not only in concert with past research on the well-being of active caregivers, but they also importantly provide would-be caregiving adults with important information regarding caring for a family member with Alzheimer's disease. These findings suggest that not-as-yet-caregiving adults could better prepare for potential caregiving distress by learning active self-care skills, identifying what is meaningful about both growing older and about caregiving, and building a social network of support, all in anticipation of active caregiving.     

Book Reviews

The purpose of this study was to examine the effectiveness of intensive interaction during interactive play between a preschool boy with autism and his teacher and, as a consequence, improve the social interaction between the boy and a non-autistic girl in an inclusive class in Greece. A single subject ABA design was applied. Observed variables included changes in the frequency of initiations and responses of the two children. Results indicated significant improvement and post-training maintenance in the social interaction of the two children. Discussion of results in light of known research in autism is highlighted and implications are discussed.     

Toddlers’ understanding of basic emotions: identification,labeling and causality / La comprensión temprana de las emociones básicas: identificación,etiquetado y causalidad

Abstract

The aim of this paper is to explore the early acquisition pattern of the understanding of basic emotions. Many studies indicate that three-year-old children identify emotions such as joy or sadness, but it is not known how this knowledge arises. Fifty-seven boys and girls between 21 and 32 months were assessed using the Brunet-Lezine-R developmental scale (BL-R) (Josse, 1997) and the Affective knowledge Test (AKT) (Denham, 1986). Through this test we evaluated the children’s knowledge of four basic emotions (happiness, sadness, anger and fear) in three of its components (identification, causality and linguistic labeling). In order to track knowledge acquisition longitudinally, a small subgroup of 19 children was evaluated again six months later. The result of the evaluation by emotions and components allows some conclusions: first, the emotion that older children better understand is anger, followed by happiness and sadness. Second, the first component that children manage is the identification of facial expressions. They then progressively incorporate knowledge about typical causality, and finally, the linguistic labels together with some understanding of atypical causality. The results are discussed from a developmental point of view. This typical developmental pattern also allows some educational and clinical implications.     

Expansion and social selection in education in England and Scotland

This paper examines trends in social class inequalities in young people’s educational attainment and HE entry between the mid‐1980s and the end of the 1990s in England and Scotland. Using time‐series data derived from the Scottish School Leavers Surveys and the England (and Wales) Youth Cohort Study, changes in both absolute and relative social class differences within and across the two countries were analysed through the use of a series of ordered logits. The results show that Scotland has higher educational attainment rates but also higher social class inequalities than England. Moreover, while in England social class inequalities at upper‐secondary and tertiary level have declined over time, in Scotland no evidence of such trend has been found. The conclusions highlight that possible explanations for these patterns reside in the different features of the two education systems and in the remarkable educational success of the Scottish middle class.     

Scottish higher education, 1987–2001: expansion through diversion

A pressing question about the expansion of higher education is whether it tends to be inclusive, in the sense of bringing in larger proportions of persons from disadvantaged backgrounds, or diversifying, in that higher education tends to differentiate as it expands, or both, by bringing more persons into an increasingly stratified system of higher education. This paper addresses the question with evidence on higher education expansion in Scotland. Data are drawn from six waves of the Scottish School Leavers Survey from the late 1980s to the start of the new millennium. Binary and multinomial logit models are estimated to examine changes in inequality during this period, which was characterised by substantial expansion in both secondary qualifications and postsecondary enrolment. The results show that, in contrast to the general pattern of stable inequality observed in most nations, overall social inequalities in Scottish higher education enrolment declined over time. However, this decline did not occur in all sectors but was limited to the lowest-status institutions. These findings illustrate how expansion can serve both inclusive and diversifying ends.     

Improving Social Competence Through Emotion Knowledge in 2-Year-Old Children: A Pilot Study

Research Findings: The goal of this study was to determine the efficacy of an educational intervention program to improve emotion knowledge, emotion regulation, and social competence in 2-year-old Spanish children. This study makes two original contributions because there are no validated education programs for such young children and because it aims to show how an intervention focused on emotion-related aspects affects children’s social competence. The pilot study was conducted on 57 Spanish 2-year-olds divided into an experimental group (n = 38) and a control group (n = 19). The children were assessed for overall development, emotion knowledge, emotion regulation, and social competence before and after the intervention. The program was carried out in the classroom in 30-min weekly sessions over a 6-month period. The findings showed significant progress in emotion knowledge and social competence as well as slight progress in emotion regulation. Practice or Policy: Our results show that emotions should be part of the curriculum starting in early childhood. On the one hand, 2-year-olds can benefit from planned interventions that improve social competence through emotion knowledge. On the other hand, 24 months is developmentally speaking the perfect age to start acquiring emotion knowledge through the simplest components.