Adición y sustracción de números enteros

La unidad didáctica que exponemos a continuación aborda los elementos que consideramos ne-cesarios para la solución de las dificultades que los estudiantes de grado séptimo encuentran al resolver situaciones que involucran la adición y sustracción de números enteros. Presentamos la descripción del problema a tratar, la manera en la que lo abordamos y los principales resultados de nuestra experiencia. Posteriormente, en el cuerpo de este documento, presentamos la funda-mentación del diseño de la unidad didáctica, seguido del análisis didáctico para la adición y sus-tracción de números enteros, la descripción y justificación del diseño de la unidad didáctica, la evaluación de la implementación, y el balance de la experiencia y reflexiones hacia el futuro. Fi-nalizamos presentando nuestras conclusiones.

Problemas geométricos de variación y el uso de software dinámico

En este artículo se presentan dos problemas geométricos que involucran la noción de variación, analizados desde la perspectiva de la resolución de problemas y la incorporación del software dinámico como un medio que puede potenciar el aprendizaje de los estudiantes. Los objetivos al presentar un análisis desde diferentes procedimientos de solución a estos problemas son: exhibir distintos acercamientos a situaciones, los cuales puede ir desarrollando el estudiante y el grupo al abordarlas, proporcionar al profesor elementos que le permitan proponer trayectorias hipotéticas del aprendizaje vinculadas con los conceptos y habilidades matemáticas que se requieren para abordar el problema y para comprenderlo, así como proveer de elementos al docente para identificar los momentos en los cuales puede intervenir en el proceso de solución para encauzar o enfatizar conceptos o habilidades matemáticas.

Propuesta de entorno computacional como apoyo a la enseñanza de las matemáticas

El cálculo diferencial e integral, es materia obligada en gran parte del currículo escolar y piedra angular en el desarrollo de la matemática. A pesar de ello en escuelas tanto a nivel medio como superior, los reportes de problemas en su enseñanza aprendizaje son frecuentes. Esta materia presenta un alto índice de reprobación, inclusive con alumnos que recursan. Este estudio muestra una fuerte tendencia, en la educación, a visualizar el cálculo como un patrón de fórmulas y procedimientos algebraicos, dejando fuera los aspectos conceptuales. En el mismo sentido Dreyfus (1990, 124), reporta que las investigaciones en Francia exhiben la tendencia de los estudiantes a los aspectos de procedimiento algorítmicos, dejando fuera los conceptuales.

Matemáticas escolares con geogebra

El documento que se presenta a continuación, tiene como propósito fundamental realizar una propuesta frente a la enseñanza de las cónicas a un nivel introductorio, en los cursos de educación media e incluso en los programas de licenciatura de la Facultad de Ciencia y Tecnología de la Universidad Pedagógica Nacional, particularmente para ofrecer una alternativa al paso de las representaciones sintéticas y analíticas de las cónicas. La propuesta esta apoyada en una serie de actividades con el uso de herramientas computacionales (en particular el software geogebra).

Un acercamiento alternativo al cálculo diferencial

Ante la problemática que presenta la enseñanza y el aprendizaje de los conceptos del cálculo diferencial y también al surgimiento de herramientas computacionales capaces de graficar y realizar derivación simbólica y manipulaciones algebraicas, se requiere una reflexión crítica sobre cómo se puede utilizar la tecnología para apoyar la enseñanza y el aprendizaje del cálculo. En este artículo, se hace una propuesta didáctica que se ha implementado en un sistema computacional y un libro que la implementa. El acercamiento se apoya fuertemente en actividades con polinomios a través de los cuales se puede apreciar el poder del cálculo diferencial sin demérito de considerar situaciones suficientemente complejas.

Algunos usos de la computadora en el aula

En los últimos años hemos sido partícipes de un explosivo desarrollo tecnológico; esto ha puesto en duda muchas de las prácticas docentes en los cursos de matemáticas. El advenimiento de la computadora con programas de manipulación simbólica, de graficación y simulación, hacen que muchas de las tareas usuales de un curso de cálculo, como derivar e integrar simbólicamente, se puedan resolver mediante la aplicación de estos paquetes. Esto cuestiona gravemente el rol del profesor y lleva ineludiblemente a una revisión curricular en donde se deben examinar los objetivos de los cursos de cálculo y determinar con precisión el contrato didáctico entre los participantes que son: el profesor, la tecnología y el estudiante. Cada propuesta presenta ventajas y desventajas en su uso, evidenciarlo es el objetivo del presente trabajo.

Short reflections on the history of African communication

This article aims to propose a chronological subdivision in the history of African communication. African communication today is one of the most important axes for implementing development strategies, sustaining education, health, and schooling programmes, and so on. However, many of these programmes fail due to a lack of or ineffective communication between international organisations, local elite and lay people. The reasons for this situation must be found in Africa’s history of communication, which has undergone radical transformations in its different phases. Using the functionalist analysis drawn up by Jakobson, this article proposes a new chronological subdivision of Africa’s history of communication, reflecting on the current contradictions in contemporary communication in Africa.

La música práctica en san Agustín: "vestigium" y "signum"

En distintos momentos de su producción intelectual, Agustín se refirió al asunto de la música. En este artículo mostraremos que Agustín uso dos esquemas conceptuales distintos para describir el fenómeno de la música práctica en su relación con el mundo espiritual, el esquema de las Artes Liberales y el de la teoría del signo, y que en virtud de ello la música sería concebida de dos modos diferentes: como vestigium y como signum del mundo espiritual, respectivamente. Al final del artículo analizaremos la diferencia entre las dos concepciones considerando tres elementos: la naturaleza de la relación entre mundo material y espiritual, el contenido espiritual al que remite y la noción de belleza que implica.

Density Functional Theory Studies of Ethanol Decomposition on Rh(211)

Density functional theory calculations were carried out to examine the mechanism of ethanol decomposition on the Rh(211) surface. We found that there are two possible decomposition pathways: (1) CH(3)CH(2)OH -> CH(3)CHOH -> CH(3)COH -> CH(3)CO -> CH(3) + CO -> CH(2) + CO -> CH + CO -> C + CO and (2) CH(3)CH(2)OH -> CH(3)CHOH -> CH(3)COH -> CH(2)COH -> CHCOH -> CHCO -> CH + CO -> C + CO. Both pathways have a common intermediate of CH(3)COH, and the key step is the formation of CH(3)CHOH species. According to our calculations, the mechanism of ethanol decomposition on Rh(211) is totally different from that on Rh(111): the reaction proceeds via CH(3)COH rather than an oxametallacycle species (-CH(2)CH(2)O- for Rh( 111)), which implies that the decomposition process is structure sensitive. Further analyses on electronic structures revealed that the preference of the initial C(alpha)-H path is mainly due to the significant reduction of d-electron energy in the presence of the transition state (TS) complex, which may stabilize the TS-surface system. The present work first provides a clear picture for ethanol decomposition on stepped Rh(211), which is an important first step to completely understand the more complicated reactions, like ethanol steam reforming and electrooxidation.

Smartphone and GPS technology for freeroaming dog population surveillance -a methodological study (Studio metodologico sull’applicazione di smartphone e tecnologia GPS alla sorveglianza delle popolazioni di cani vaganti)

Free-roaming dogs (FRD) represent a potential threat to the quality of life in cities from an ecological, social and public health point of view. One of the most urgent concerns is the role of uncontrolled dogs as reservoirs of infectious diseases transmittable to humans and, above all, rabies. An estimate of the FRD population size and characteristics in a given area is the first step for any relevant intervention programme. Direct count methods are still prominent because of their non-invasive approach, information technologies can support such methods facilitating data collection and allowing for a more efficient data handling. This paper presents a new framework for data collection using a topological algorithm implemented as ArcScript in ESRI® ArcGIS software, which allows for a random selection of the sampling areas. It also supplies a mobile phone application for Android® operating system devices which integrates Global Positioning System (GPS) and Google Maps™. The potential of such a framework was tested in 2 Italian regions. Coupling technological and innovative solutions associated with common counting methods facilitate data collection and transcription. It also paves the way to future applications, which could support dog population management systems.

Compact Routing Messages in Self-Healing Trees

Existing compact routing schemes, e.g., Thorup and Zwick [SPAA 2001] and Chechik [PODC 2013], often have no means to tolerate failures, once the system has been setup and started. This paper presents, to our knowledge, the first self-healing compact routing scheme. Besides, our schemes are developed for low memory nodes, i.e., nodes need only O(log2 n) memory, and are thus, compact schemes.
We introduce two algorithms of independent interest: The first is CompactFT, a novel compact version (using only O(log n) local memory) of the self-healing algorithm Forgiving Tree of Hayes et al. [PODC 2008]. The second algorithm (CompactFTZ) combines CompactFT with Thorup-Zwick’s treebased compact routing scheme [SPAA 2001] to produce a fully compact self-healing routing scheme. In the self-healing model, the adversary deletes nodes one at a time with the affected nodes self-healing locally by adding few edges. CompactFT recovers from each attack in only O(1) time and ∆ messages, with only +3 degree increase and O(log∆) graph diameter increase, over any sequence of deletions (∆ is the initial maximum degree).
Additionally, CompactFTZ guarantees delivery of a packet sent from sender s as long as the receiver has not been deleted, with only an additional O(y log ∆) latency, where y is the number of nodes that have been deleted on the path between s and t. If t has been deleted, s gets informed and the packet removed from the network.

Increased physical activity and fitness above the 50th percentile prevents the institutionalization of elderly people: a cross-sectional pilot study.

Introduction Institutionalization in a nursing home restricts autonomy, most notably free will, free choice, and free action. Decreased physical activity and fitness are predictive of disability and dependence (Rikli & Jones, 2013; Tak, Kuiper, Chorus, & Hopman-Rock, 2014); however little is known about the impact of these factors on institutionalization. Thus, this study aimed to analyze the impact of physical activity and fitness and on the risk of elderly people without cognitive impairment become institutionalized. Methods This cross-sectional study involved 195 non-institutionalized (80.14.4yrs) and 186 institutionalized (83.85.2yrs) participants. Cognitive impairment was assessed using Mini-Mental State Examination, physical activity was assessed using the International Physical Activity Questionnaire, and measures of physical fitness were determined by the Senior Fitness Test. Results: Multivariate binary logistic analysis selected 4 main predictors of institutionalization in both genders. The likelihood of becoming institutionalized increased by +18.6% for each additional year of age, while it decreased by -24.8% by each fewer kg/m2 in BMI, by -0.9% for each additional meter performed in the aerobic endurance test and by -2.0% for each additional 100MET-min/wk of physical activity expenditure (p<0.05). Values ≤50th percentile (age ≥81yrs, BMI≥26.7kg/m2, aerobic endurance ≤367.6m, and physical activity ≤693MET-min/wk) were computed using Receiver Operating Characteristics analysis as cut-offs discriminating institutionalized from non-institutionalized elderly people. Conclusion The performance of physical activity, allied to an improvement in physical fitness (mainly BMI and aerobic endurance) may prevent the institutionalization of elderly people without cognitive impairment only if they are above the 50th percentile; the following is highly recommend: expending ≥693MET-min/wk on physical activity, being ≤26.7kg/m2 on BMI, and being able to walk ≥367.6m in the aerobic endurance test, especially above the age of 80 years. The discovery of this trigger justifies the development of physical activity programs targeting the pointed cut-offs in old, and very old people. References Rikli, R., & Jones, C. (2013). Development and validation of criterion-referenced clinically relevant fitness standards for maintaining physical independence in later years. Gerontologist, 53, 255-267. Tak, E., Kuiper, R., Chorus, A., & Hopman-Rock, M. (2014). Prevention of onset and progression of basic ADL disability by physical activity in community dwelling older adults: a meta-analysis. Ageing Res Rev, 12, 329-338.

A randomized controlled trial on the effects of combined aerobic-resistance exercise on muscle strength and fatigue, glycemic control and health-related quality of life of type 2 diabetes patients

Aim: to evaluate the effects of a 12-weeks combined aerobic-resistance exercise therapy on fatigue and isokinetic muscle strength, glycemic control and health-related quality of life (HRQoL) in moderately affected type 2 diabetes (T2DM) patients. Methods: a randomized controlled trial design was employed. Forty-three T2DM patients were assigned to an exercise group (n = 22), performing 3 weekly sessions of 60 minutes of combined aerobic-resistance exercise for 12-weeks; or a no exercise control group (n = 21). Both groups were evaluated at a baseline and after 12-weeks of exercise therapy for: 1) muscle strength and fatigue by isokinetic dynamometry; 2) plasma glycated hemoglobin A1C (HbA1C); and 3) HRQoL utilizing the SF-36 questionnaire. Results: the exercise therapy led to improvements in muscle fatigue in knee extensors (-55%) and increased muscle strength in knee flexors and extensors (+15 to +30%), while HbA1C decreased (-18%). In addition, the exercising patients showed sizeable improvements in HRQoL: physical function (+53%), vitality (+21%) and mental health (+40%). Conclusion: 12-weeks of combined aerobic-resistance exercise was highly effective to improve muscle strength and fatigue, glycemic control and several aspects of HRQoL in T2DM patients. These data encourage the use of aerobic and resistance exercise in the good clinical care of T2DM.

Desenvolvimento de sensores de fibra óptica para monitorização de compostos orgânicos voláteis em ambientes industriais

O objectivo geral deste trabalho consistiu no desenvolvimento de novos sensores químicos de fibra óptica (OF) para análise de compostos orgânicos voláteis (VOCs) em ambientes industriais. A componente de detecção dos sensores desenvolvidos é constituída por uma pequena secção de fibra óptica revestida com um filme de polímero. A morfologia dos filmes poliméricos foi analisada e caracterizada por microscopia electrónica de varrimento (SEM), sendo a espessura dos filmes determinada por espectroscopia de retrodispersão de Rutherford (RBS, acrónimo do inglês Rutherford backscattering spectrometry). O desempenho analítico dos sensores de OF foi avaliado relativamente a diferentes parâmetros operacionais, tais como, concentração da solução de revestimento, técnica de deposição do filme polimérico, temperatura da célula de injecção, temperatura de cura do material polimérico, caudal do gás de arraste, comprimento de onda e frequência de funcionamento do laser, configurações estruturais da célula de injecção e do tubo analítico. Foram desenvolvidos dois sensores de OF a operar na região do infravermelho para determinação de diferentes classes de VOCs, nomeadamente hidrocarbonetos aromáticos, clorados e alifáticos, além de álcoois. Os sensores de OF desenvolvidos apresentaram adequadas características analíticas em termos de sensibilidade, linearidade, repetitibilidade e reprodutibilidade do sinal analítico, sendo o tempo de resposta de aproximadamente 30 segundos. Foi também desenvolvido um sensor de OF para especiação de benzeno, tolueno e o-xileno a operar na região do visível (635 - 650 nm), tendo sido aplicado à análise de amostras reais de ar de uma indústria de solventes. Relativamente à monitorização de VOCs em ambientes industriais, foi desenvolvido um sensor de OF para monitorização in situ e de forma remota (até uma distância máxima de 60 metros do local de amostragem) de benzeno, tolueno, etilbenzeno, p-xileno, m-xileno e o-xileno (BTEX), utilizando um díodo laser a 1550 nm. O desempenho analítico do sensor desenvolvido foi comparado, para a determinação de BTEX, com a cromatografia gasosa acoplada à detecção com ionização de chama (GC-FID). Foram ainda desenvolvidos dois detectores de fibra óptica acoplados a um cromatógrafo de gás para especiação de álcoois e hidrocarbonetos aromáticos. A metodologia desenvolvida baseada em cromatografia gasosa acoplada a um detector de fibra óptica (GC-OF) foi aplicada à análise de amostras reais de ar de uma indústria de solventes, comparando os respectivos resultados com os obtidos por GC-FID. Por fim foi efectuado um estudo visando a obtenção de um modelo geral para a resposta analítica dos sensores de fibra óptica desenvolvidos.