The calculator as an instrument of validation of mathematical knowledge: a case study

En este trabajo se describe una experiencia llevada a cabo con profesores de matemáticas en formación, sobre el papel que pueden desarrollar las nuevas tecnologías para llevar a cabo procesos de demostración y prueba en el aula de secundaria.

The calculator as an instrument of validation of mathematical knowledge: a case study (extended version)

En este trabajo se describe detalladamente una experiencia llevada a cabo con profesores de matemáticas en formación, sobre el papel que pueden desarrollar las nuevas tecnologías para llevar a cabo procesos de demostración y prueba en el aula de secundaria.

Wire bond reliability for power electronic modules - effect of bonding temperature

In this paper, thermal cycling reliability along with ANSYS analysis of the residual stress generated in heavy-gauge Al bond wires at different bonding temperatures is reported. 99.999% pure Al wires of 375 mum in diameter, were ultrasonically bonded to silicon dies coated with a 5mum thick Al metallisation at 25degC (room temperature), 100degC and 200degC, respectively (with the same bonding parameters). The wire bonded samples were then subjected to thermal cycling in air from -60degC to +150degC. The degradation rate of the wire bonds was assessed by means of bond shear test and via microstructural characterisation. Prior to thermal cycling, the shear strength of all of the wire bonds was approximately equal to the shear strength of pure aluminum and independent of bonding temperature. During thermal cycling, however, the shear strength of room temperature bonded samples was observed to decrease more rapidly (as compared to bonds formed at 100degC and 200degC) as a result of a high crack propagation rate across the bonding area. In addition, modification of the grain structure at the bonding interface was also observed with bonding temperature, leading to changes in the mechanical properties of the wire. The heat and pressure induced by the high temperature bonding is believed to promote grain recovery and recrystallisation, softening the wires through removal of the dislocations and plastic strain energy. Coarse grains formed at the bonding interface after bonding at elevated temperatures may also contribute to greater resistance for crack propagation, thus lowering the wire bond degradation rate

Vibrational spectra of α-amino acids in the zwitterionic state in aqueous solution and the solid state: DFT calculations and the influence of hydrogen bonding

The zwitterionic forms of the two simplest alpha-amino acids, glycine and l-alanine, in aqueous solution and the solid state have been modeled by DFT calculations. Calculations of the structures in the solid state, using PW91 or PBE functionals, are in good agreement with the reported crystal structures, and the vibrational spectra computed at the optimized geometries provide a good fit to the observed IR and Raman spectra in the solid state. DFT calculations of the structures and vibrational spectra of the zwitterions in aqueous solution at the B3-LYP/cc-pVDZ level were found to require both explicit and implicit solvation models. Explicit solvation was modeled by inclusion of five hydrogen-bonded water molecules attached to each of the five possible hydrogen-bonding sites in the zwitterion and the integration equation formalism polarizable continuum model (IEF-PCM) was employed, providing a satisfactory fit to observed IR and Raman spectra. Band assignments are reported in terms of potential-energy distributions, which differ in some respects to those previously reported for glycine and l-alanine.

Elemental analysis of soil samples for forensic purposes by inductively coupled plasma spectrometry - precision considerations

Major and trace elemental composition provides a powerful basis for forensic comparison of soils, sediments and rocks. However, it is important that the potential 'errors' associated with the procedures are fully understood and quantified, and that standard protocols are applied for sample preparation and analysis. This paper describes such a standard procedure and reports results both for instrumental measurement precision (repeatability) and overall 'method' precision (reproducibility). Results obtained both for certified reference materials and example soils show that the instrumental measurement precision (defined by the coefficient of variation, CV) for most elements is better than 2-3%. When different solutions were prepared from the same sample powder, and from different sub-sample powders prepared from the same parent sample, the CV increased to c. 5-6% for many elements. The largest variation was found in results for certified reference materials generated from 23 instrument runs over an 18 month period (mean CV=c. 11%). Some elements were more variable than others. W was found to be the most variable and the elements V, Cr, Co, Cu, Ni and Pb also showed higher than average variability. SiO2, CaO, Al2O3 and Fe2O3, Rb, Sr, La, Ce, Nd and Sm generally showed lower than average variability, and therefore provided the most reliable basis for inter-sample comparison. It is recommended that, whenever possible, samples relating to the same investigation should be analysed in the same sample run, or at least sequential runs.

Verstetigung und Verbreitung von E-Learning im Verbundstudium. Onlinebefragung als Promotor und Instrument zur Einbeziehung der Lehrenden bei der Entwicklung und Umsetzung

Das Verbundstudium der nordrhein-westfälischen Fachhochschulen bietet über 3000 Studierenden die Möglichkeit, in einer Kombination von Präsenz- und Selbststudium neben dem Beruf zu studieren. Das Institut für Verbundstudien koordiniert und organisiert die Kooperationsprozesse der Hochschulen und engagiert sich mit seinem Bereich Hochschuldidaktik und Fernstudienentwicklung als Entwicklungs- und Kompetenzzentrum im Bereich der Neuen Medien und des E-Learnings. Zur Verbreitung und Verstetigung der digitalen Lehr- und Lernangebote sowie der Optimierung der Kooperations- und Supportstrukturen hat das Institut eine Onlinebefragung von 200 Lehrenden zur Situation und den Perspektiven des E-Learnings im Verbundstudium durchgeführt. Die Studie zeigt, dass für die Lehrenden auch zukünftig die gedruckte Lerneinheit das zentrale Element der Lehre sein wird. Sie sehen Bedarf zur Ergänzung und Anreicherung des Studiums sowie des Lernens und wünschen sich zur Unterstützung der Lehre ergänzende digitale Elemente vor allem in folgenden Bereichen: Kommunikation, Ergänzungen zu Lerneinheiten (Linklisten, Übungen, ergänzende Medien und Materialien), übergreifendes Glossar. Die Ergebnisse der Onlinebefragung sind die Grundlage des von den Gremien des Verbundstudiums beschlossenen E-Learning-Konzepts. Die von den Lehrenden gewünschten digitalen Elemente und Funktionen sind im Rahmen der Entwicklung durch den Bereich Hochschuldidaktik und Fernstudienentwicklung in der E-Learning-Umgebung VS-online umgesetzt worden. Zurzeit werden die bereitgestellten Elemente und Funktionen von den einzelnen Verbundstudiengängen mit Beiträgen und Inhalten gefüllt. (DIPF/Orig.)

The consequences of child-parent violence reflected in a life story

A process of social transformation allied with ongoing changes to the family has made possible the existence of a relatively little-known phenomenon: that of child-parent violence, which is raised as one of the most commonly experienced forms of violence in the family environment. Based on the study of this phenomenon, in our research we have used the qualitative technique of a life story, making use of a field diary in which we have taken notes on our daily work in the therapeutic context, for the purposes of mitigating the effects of such a process. The following research objectives were set: establishing the connection existing between family education style and the use of violence by the minor; and evaluating the extent to which family therapy mitigates the use of violence by the minor. The family education model, together with other dimensions, results in situations of child-parent violence occurring repeatedly, with continuing negative reinforcement from both parties in order to maintain a recurrent cycle of conduct, from which it is difficult to «escape» other than through a process of ongoing psychological therapy.

Parent education and home-based behaviour analytic intervention: an examination of parents' perceptions of outcome

There is convincing evidence that applied behaviour analysis (ABA) offers a highly effective form of intervention for children with autistic spectrum disorder (ASD). There is less evidence, however, about how parents perceive and evaluate ABA programmes. In this paper an examination of parents’ perceptions of outcome is reported. Twenty-two questionnaires were completed by two groups of parents. The first group had just completed an introductory course in ABA and were in the early stages of implementing ABA programmes with their children. The second group had been involved in ABA education for more than 2 years. Overall, both groups of parents reported a positive impact of ABA on the lives of their children, their family life, and themselves. The long- term group reported that they had achieved complex goals with their children, whilst the short-term group reported an immediate positive impact on child and family functioning and parental self-esteem. Conclusions are drawn in the context of evidence-based practice.

Discrete-time modelling of woodwind instrument bores using wave variables

A method for simulation of acoustical bores, useful in the context of sound synthesis by physical modeling of woodwind instruments, is presented. As with previously developed methods, such as digital waveguide modeling (DWM) [Smith, Comput. Music J. 16, pp 74-91 (1992)] and the multi convolution algorithm (MCA) [Martinez et al., J. Acoust. Soc. Am. 84, pp 1620-1627 (1988)], the approach is based on a one-dimensional model of wave propagation in the bore. Both the DWM method and the MCA explicitly compute the transmission and reflection of wave variables that represent actual traveling pressure waves. The method presented in this report, the wave digital modeling (WDM) method, avoids the typical limitations associated with these methods by using a more general definition of the wave variables. An efficient and spatially modular discrete-time model is constructed from the digital representations of elemental bore units such as cylindrical sections, conical sections, and toneholes. Frequency-dependent phenomena, such as boundary losses, are approximated with digital filters. The stability of a simulation of a complete acoustic bore is investigated empirically. Results of the simulation of a full clarinet show that a very good concordance with classic transmission-line theory is obtained.