Devising a plan to solve Fermi problems involving large numbers

Fermi problems are open, non-standard problems that require the students to make assumptions about the problem situation and to estimate relevant quantities before engaging in, often, simple calculations (Ärlebäck The Montana Mathematics Enthusiast, 6(3):331–364, 2009). Our study focuses on the plans—schemes aimed at solving—devised by students aged 12–16 years to solve Fermi problems involving big numbers. The strategies which appear in these schemes are characterized herein and analyzed to find out to what extent they would be suitable to solve the problems. Some of the identified strategies are related to magnitude estimation (use of a reference point), whereas others correspond to modeling processes (grid distribution, use of a concentration measurement, reductions of a problem, and use of a proportion). We conclude that Fermi problems involving large numbers may constitute a good opportunity to discuss heuristics and problem solving strategies in compulsory secondary education classes.     

PROGRAM EVALUATION OF THE PREPaRE SCHOOL CRISIS PREVENTION AND INTERVENTION TRAINING CURRICULUM

This study details a program evaluation of the PREPa RE School Crisis Prevention and Intervention Training Curriculum (PREPa RE), conducted in the United States and Canada between 2009 and 2011. Significant improvements in crisis prevention and intervention attitudes and knowledge were shown among 875 Crisis Prevention and Preparedness workshop (Workshop 1) participants and 1,422 Crisis Intervention and Recovery workshop (Workshop 2) participants on matched pre‐tests and post‐tests. Results indicated high participant satisfaction for both Workshop 1 and Workshop 2. A qualitative analysis of workshop evaluation comments indicated strengths regarding workshop aims, materials, and activities, as well as suggestions for improvement, such as utilizing more active learning components. The use of these findings in the PREPa RE curriculum revision is discussed.     

Texting,textese and literacy abilities: a naturalistic study

In this study, we examined texting behaviours, text message characteristics (textese) of actual sent text messages and the relationships between texting, textese and literacy abilities in a sample of 183 American undergraduates. As compared to previous naturalistic and experimental studies with English‐speaking adults, both texting frequency and textism density (proportion of textese) were greater, but category density analyses were similar to a recent experimental study with undergraduates. Interestingly, whilst overall textism density was negatively related to reading and spelling, some textism categories (e.g., omitted apostrophes) were negatively related to literacy skills, while others (e.g., accent stylisation) were positively related to literacy skills. The use of predictive texting was a moderator in this relationship. Our results may help explain the discordant findings between children and adults with regard to textese use and literacy skills, and also highlight the importance of conducting analyses of category density and predictive texting in studies of texting and literacy.     

EFFECTIVENESS OF THE FRIENDS FOR LIFE PROGRAM IN PORTUGUESE SCHOOLS: STUDY WITH A SAMPLE OF HIGHLY ANXIOUS CHILDREN

The FRIENDS for Life program is a cognitive–behavioral group program that targets anxiety in children. The main purpose of this study was to analyze the effectiveness of the Portuguese version of the FRIENDS for Life Program, which was implemented in schools to reduce anxiety problems in a group of highly anxious children. The study used a quasi‐experimental research design with two groups of children, an intervention (n = 17) and a wait‐list control group (n = 21), aged 8 to 12 years old. The impact of the program in reducing anxiety symptoms as assessed by children and mothers was analyzed through the Screen for Child Anxiety Related Emotional Disorders‐Revised (SCARED‐R). The results show a statistically significant post intervention effect on anxiety symptoms evaluated by the child, but not by the mother. The implications of these results for the prevention of anxiety disorders in Portuguese schools are discussed.     

Conceptual Demand of Practical Work in Science Curricula

This article addresses the issue of the level of complexity of practical work in science curricula and is focused on the discipline of Biology and Geology at high school. The level of complexity is seen in terms of the emphasis on and types of practical work and, most importantly, in terms of its level of conceptual demand as given by the complexity of scientific knowledge, the degree of inter-relation between knowledges, and the complexity of cognitive skills. The study also analyzes recontextualizing processes that may occur within the official recontextualizing field. The study is psychologically and sociologically grounded, particularly on Bernstein’s theory of pedagogic discourse. It uses a mixed methodology. The results show that practical work is poorly represented in the curriculum, particularly in the case of laboratory work. The level of conceptual demand of practical work varies according to the text under analysis, between the two subjects Biology and Geology, and, within each of them, between general and specific guidelines. Aspects studied are not clearly explicated to curriculum receivers (teachers and textbooks authors). The meaning of these findings is discussed in the article. In methodological terms, the study explores assumptions used in the analysis of the level of conceptual demand and presents innovative instruments constructed for developing this analysis.     

Childhood history of abuse and child abuse potential: The role of parent's gender and timing of childhood abuse

It has been suggested that being physically abused leads to someone becoming a perpetrator of abuse which could be associated to parents’ gender, timing of the physical abuse and specific socio-demographic variables. This study aims to investigate the role the parents’ gender, timing of childhood abuse and socio-demographic variables on the relationship between parents’ history of childhood physical abuse and current risk for children. The sample consisted of 920 parents (414 fathers, 506 mothers) from the Portuguese National Representative Study of Psychosocial Context of Child Abuse and Neglect who completed the Childhood History Questionnaire and the Child Abuse Potential Inventory. The results showed that fathers had lower current potential risk of becoming physical abuse perpetrators with their children than mothers although they did not differed in their physical victimization history. Moreover, the risk was higher in parents (both genders) with continuous history of victimization than in parents without victimization. Prediction models showed that for fathers and mothers separately similar socio-demographic variables (family income, number of children at home, employment status and marital status) predicted the potential risk of becoming physical abuses perpetrators. Nevertheless, the timing of victimization was different for fathers (before 13 years old) and mothers (after 13 years old). Then our study targets specific variables (timing of physical abuse, parents’ gender and specific socio-demographic variables), which may enable professionals to select groups of parents at greater need of participating in abuse prevention programs.     

Parents who hit and scream: Interactive effects of verbal and severe physical aggression on clinic-referred adolescents’ adjustment

The goals of this study were first, to delineate the co-occurrence of parental severe physical aggression and verbal aggression toward clinic-referred adolescents, and second, to examine the interactive effects of parental severe physical aggression and verbal aggression on adolescent externalizing and internalizing behavior problems. This research involved 239 referrals of 11- to 18-year-old youth and their dual-parent families to a non-profit, private community mental health center in a semi-rural Midwest community. Multiple informants (i.e., adolescents and mothers) were used to assess parental aggression and adolescent behavior problems. More than half of clinic-referred adolescents (51%) experienced severe physical aggression and/or high verbal aggression from one or both parents. A pattern of interactive effects of mother-to-adolescent severe physical aggression and verbal aggression on adolescent behavior problems emerged, indicating that when severe physical aggression was present, mother-to-adolescent verbal aggression was positively associated with greater adolescent behavior problems whereas when severe physical aggression was not present, the links between verbal aggression and behavior problems was no longer significant. No interactive effects were found for father-to-adolescent severe physical aggression and verbal aggression on adolescent adjustment; however, higher father-to-adolescent verbal aggression was consistently linked to behavior problems above and beyond the influence of severe physical aggression. The results of this study should promote the practice of routinely assessing clinic-referred adolescents and their parents about their experiences of verbal aggression in addition to severe physical aggression and other forms of abuse.     

Sociomathematical and mathematical norms related to definition in pre-service primary teachers’ discourse

This study is part of a wider research program, which seeks to investigate the existence (or not) of relationships between sociomathematical and mathematical norms at different academic levels. Here, we consider the norms that arise in the interaction between primary student teachers when they solve a mathematical task related to the mathematical definition. We hypothesize that in the colloquial mathematical discourse between these students coexist two types of discourse as follows: sociomathematical and mathematical, each one with its specific norms. This coexistence can originate commognitive conflicts. We have been able to identify different commognitive conflicts that arose from the simultaneous existence of sociomathematical norms and mathematical norms linked to defining, approaching their generation.     

Effects of academic dishonesty on dimensions of spiritual well-being and satisfaction: a comparative study of secondary school and university students

Recent research has shown an increase in academic dishonesty in different educational systems and levels, and negative effects on the academic institution, society and the students themselves. In order to describe the differential perception of academic dishonesty by Spanish secondary school and university students, and to study its consequences on psychological well-being, comparisons between two groups of students from secondary education and university were carried out, using measures of the perception and execution by others of dishonest behaviour, as well as psychological well-being and satisfaction with life and learning. University students revealed greater laxity of conscience, considering dishonest behaviour to be less serious and more common than secondary school students, and indulging in more dishonest behaviour themselves. They also showed greater spiritual, personal, community and environmental well-being, and greater satisfaction with learning. However, transcendental spiritual well-being was greater in the group of secondary education students. Academic dishonesty was associated with satisfaction with learning in both groups, and with satisfaction with life in secondary education. Its link with measures of spiritual well-being was greater in the group of secondary education students, being linked to transcendental well-being only in the group of university students. No gender differences were observed in any of the variables.     

Development of a virtual tool for learning basic organisation and planning in rural engineering projects

This paper presents a virtual lab for the contents of an Engineering project, for designing an agro-industrial building, which is also useful for a range of different transversal courses in Engineering sciences. The aims of this tool are to analyse the most important contents of a project-document (calculation, regulations, drawings and budgets), as well as their relationship with the activities which make up the work and the schedule. The design criteria we considered were: its online applications and their compatibility with Moodle; the inclusion of different learning approaches, such as exploratory learning and inquiry-based learning; its interactivity, and the use of multimedia elements for visualisation and direct analysis on material common to Engineering subjects. The students’ perceptions of the improvements brought by the virtual lab were analysed statistically through a series of questions over two academic years. The results of the questionnaires suggested that most of those who had used the e-learning tool valued positively its overall suitability for reaching the objectives in their subject as well as the way it improved the working methodology. The practical knowledge acquired by the students was also highly valued. In addition, the lack of constraints commonly related to field trips (expenses, time and complexity) illustrates the utility of self-access learning tools in key transversal disciplines such as Engineering projects.