Mathematical Flexibility: Aspects of a Continuum and the Role of Prior Knowledge

Abstract

Psychologists and mathematics educators have long viewed flexibility as critical to students’ mathematical development. In this paper, we focused on the multidimensional nature of flexibility to better understand how preference, knowledge, and use of effective methods for solving algebra problems are related. In Study 1, we identified research-based aspects of flexibility with algebra and assessed students on them following a two-step equations unit. Results indicated that certain aspects of flexibility develop prior to others and that prior knowledge of algebra plays a significant role in that development. Study 2 confirmed and elaborated on these results using a larger sample size. Implications for theory and for supporting flexibility in classrooms are discussed.     

The social functions of evaluation in Argentine and Finnish higher education

This article examines the traditional assumption that higher education evaluation systems follow a similar global format. Comparative study examines institutional evaluation and assessment processes in two nation‐states that are geographically and economically remote but which, historically, share a common civic perspective. The main research question of the study is: What are the similarities and differences in the social functions of evaluation and assessment between these two countries, the models of evaluation of which originate from the same “homogeneous model of institutional evaluation”? The study demonstrates that Finnish and Argentine models of evaluation are nationally and contextually bound by general ideas rather than being applications of a global model.     

Continuity in Parent-Child Relationships from Infancy to Middle Childhood and Relations with Friendship Competence

This cross-cultural study examined continuity in parent-child relationships from infancy to middle childhood in a sample of German families. Connections were traced between individual differences in a composite of markers of the parent-child attachment relationship system (including classification of the infant via the Strange Situation and parent via the Adult Attachment Interview and for mothers' ratings of sensitivity) and later parent-child communications. Fundings within the mother-child relationship revealed modest links between the composite and communications and were taken to suggest that the divergent fields of attachment and family communication research are addressing similar underlying relationship processes involving the interplay between relatedness and autonomy. Further findings revealed that the composite modestly predicted variability in children's competence in forming friendships and that differences in concurrent child-mother communications significantly added to and possibly mediated these effects. Results were interpreted as supporting a process model of development, whereby adaptation is influenced by both current and past relationship status.     

WOMBAT A tool for mixed model analyses in quantitative genetics by restricted maximum likelihood （REML）

WOMBAT is a software package for quantitative genetic analyses of continuous traits, fitting a linear, mixed model; estimates of covariance components and the resulting genetic parameters are obtained by restricted maximum likelihood. A wide range of models, comprising numerous traits, multiple fixed and random effects, selected genetic covariance structures, random regression models and reduced rank estimation are accommodated. WOMBAT employs up-to-date numerical and computational methods. Together with the use of efficient compilers, this generates fast executable programs, suitable for large scale analyses. Use of WOMBAT is illustrated for a bivariate analysis. The package consists of the executable program, available for LINUX and WINDOWS environments, manual and a set of worked example, and can be downloaded free of charge from http://agbu. une.edu.au/~kmeyer/wombat.html     

Predictors of psychological distress and positive resources among Palestinian adolescents: trauma, child, and mothering characteristics

OBJECTIVE: The aim was to examine how traumatic and stressful events, responses to violence, child characteristics, and mothering quality, as measured in middle childhood predict psychological distress and positive resources in adolescence. METHOD: The participants were 65 Palestinian adolescents (17+/-.85 years; 52% girls), who had been studied during the First Intifada (T1), during the Palestinian Authority rule (T2) and before the Second Al Aqsa Intifada (T3) in Gaza. Psychological distress was indicated by PTSD, and depressive symptoms and positive resources by resilient attitudes and satisfaction with quality of life, all measured at T3. The predictors that were measured at T1 were exposure to military violence, active coping with violence and children's intelligence, cognitive capacity, and neuroticism. Mothering quality and stressful life-events were measured at T2, the former reported by both the mother and the child, and the latter by the mother. RESULTS: Adolescents' PTSD symptoms were most likely if they had been exposed to high levels of traumatic and stressful experiences and had poor cognitive capacity and high neuroticism in middle childhood. Only high levels of childhood military violence and stressful life-events predicted high depressive symptoms and low satisfaction with quality of life in adolescence. CONCLUSIONS: Military violence in childhood forms risks for both increased psychological distress and decreased positive resources. However, child characteristics such as cognitive capacity and personality are important determinants of psychological vulnerability in military trauma.     

Shared Sense-making in Curriculum Reform: Orchestrating the Local Curriculum Work

This study aims to gain a better understanding of the Finnish national curriculum reform by examining how the educational practitioners, at the district level, orchestrate the shared sense-making concerning the reform work in their school districts. Qualitative focus group data was collected from 12 groups, throughout Finland, that were responsible for orchestrating curriculum reform work at the district level. Results showed that curriculum reform steering groups recognized the importance of orchestrating shared sense-making. They strived to develop functional, context sensitive, and shared strategies for reform implementation across their districts. They employed a range of strategies for managing, navigating, and regulating the shared sense-making of the local curriculum work.     

Is teacher attrition a poor estimate of the value of teacher education? A Swedish case

Far from all who complete teacher education end up working as teachers throughout their entire career. At first sight the value of teacher education, in terms of efficiency, seems to be a failure. In the present article we argue that teacher attrition, when defined as whether one is working as teacher or not, is a too blunt measure to gauge whether teacher education has been valuable. With a unique dataset, where we have detailed information on 87 Swedish teacher graduates’ working life across 23 years, we can consider whether activities and/or experiences point to an apparent use of teacher education. In conclusion, we find that in order to get informative estimates of its value it is important to consider it from different perspectives and to consider attrition related to the total working time spent in educational settings across a career rather than percentage leaving teaching after a set of years     

Improving Group Work Practices in Teaching Life Sciences: Trialogical Learning

Research in Science Education - Trialogical learning, a collaborative and iterative knowledge creation process using real-life artefacts or problems, familiarizes students with working life...     

Two games in town: a comparison of dealer and auction prices in contemporary visual arts markets

The article tests a couple of hypotheses relating to markets where demand is not taken as a given, but subject to sophisticated and encompassing price-building strategies. The study uses a data set that provides quoted dealer prices for medium-sized works of 100 leading visual artists from 1970 to 2004. These data are compared with auction price results for works by the same artists. The study reports significant discrepancies with respect to the relationship between the age of artists and prices paid for their works in the two markets, and with respect to general price developments in the two markets as measured by indices.

Leveraging microgrants to support capacity-building workshops in low- and middle-income countries for meeting the Sustainable Development Goals

Twenty fifteen marked the year of assessment for the Millennium Development Goals (MDGs). The MDGs that achieved the greatest success were those where evidence-based practice (EBP) interventions were implemented. The ability to practice evidence-based medicine is grounded in the creation of and access to medical literature that synthesizes research findings. The role that global health literature played in the success of the MDGs demonstrates that medical libraries and librarians have a role to play in achieving the Sustainable Development Goals (SDGs).Librarians can hold capacity-building workshops that provide instruction on how to access evidence-based literature and also train health professionals to conduct synthesis research. Research findings conducted by in-country health professionals are more likely to address issues being faced by local communities and will afford the possibility of obtaining the necessary evidence-based answers that can then be used to implement policies to resolve public health issues identified in the SDGs.This paper discusses how an international team of librarians leveraged funding from a Medical Library Association/Librarians without Borders/Elsevier Foundation/Research4Life grant to hold a capacity-building workshop in Zimbabwe and follow-up online trainings. The workshop focused on accessing evidence-based resources and conducting synthesis research. Outcomes included the creation and policy implementation of evidence-based knowledge products in alignment with local needs and galvanizing a multisectoral group of key individuals who have gone on to collaborate toward the vision of creating a Zimbabwe innovation hub. Looking ahead, such grants can be leveraged to conduct capacity-building to support knowledge translation and other local training needs.