Propuesta didáctica para la enseñanza y el aprendizaje de la composición de funciones en educación media

Se presenta este trabajo en el marco de la Licenciatura en Matemáticas de la Universidad Pedagógica Nacional, en el que se diseña una propuesta de enseñanza que contribuye a la didáctica de la composición de funciones. En la primera parte, se muestra un marco referencial histórico en el que se indaga sobre el surgimiento y la evolución del concepto de composición de funciones en el periodo comprendido desde los inicios del cálculo en el siglo XVII hasta la axiomatización del álgebra en la crisis de los fundamentos de las matemáticas en el siglo XX. En seguida se expone un marco pedagógico que muestra la relación existente entre la didáctica de la composición de funciones y la regla de la cadena y, realiza un análisis de lo que indica la normativa curricular en relación a la enseñanza de la composición de funciones. La revisión de experiencias de aula y propuestas de actividades, en las que se muestran las estrategias que proponen los investigadores consultados para la enseñanza de la composición de funciones. El marco didáctico lo complementa una breve exposición acerca de algunas teorías didácticas que han sido utilizadas para enseñar la composición de funciones en el aula de clases. Se identifica de la revisión teórica, la pertinencia del uso de la teoría APOE y del ciclo de enseñanza ACE, por lo que en la propuesta de enseñanza se plantea una serie de actividades y herramientas didácticas que permiten analizar el tipo de estructura mental que tiene el estudiante en relación a la composición de funciones, al tiempo que potencia tales estructuras y le ayuda desarrollar la abstracción reflexiva al momento de dar cuenta de los procedimientos que realiza cuando resuelve los ejercicios y problemas propuestos relacionados con la composición de funciones. La propuesta se complementa con cuatro aplicaciones que el autor del presente documento diseño en GeoGebra y que permiten representar gráficamente las funciones involucradas en la composición y a su vez la función compuesta obtenida, en las representaciones cartesiana y dinagráfica. Estas herramientas están disponibles en el sitio web de GeoGebra y sirven de material didáctico de uso libre por parte de los profesores de matemáticas y del público en general. Finalmente se hace una reflexión acerca del trabajo desarrollado y se presentan las conclusiones correspondientes, así como algunas recomendaciones dirigidas a aquellos docentes que deseen utilizar esta propuesta didáctica

Parabens Promote Protumorigenic Effects in Luminal Breast Cancer Cell Lines With Diverse Genetic Ancestry

Context One in 8 women will develop breast cancer in their lifetime. Yet, the burden of disease is greater in Black women. Black women have a 40% higher mortality rate than White women, and a higher incidence of breast cancer at age 40 and younger. While the underlying cause of this disparity is multifactorial, exposure to endocrine disrupting chemicals (EDCs) in hair and other personal care products has been associated with an increased risk of breast cancer. Parabens are known EDCs that are commonly used as preservatives in hair and other personal care products, and Black women are disproportionately exposed to products containing parabens. Objective Studies have shown that parabens impact breast cancer cell proliferation, death, migration/invasion, and metabolism, as well as gene expression in vitro. However, these studies were conducted using cell lines of European ancestry; to date, no studies have utilized breast cancer cell lines of West African ancestry to examine the effects of parabens on breast cancer progression. Like breast cancer cell lines with European ancestry, we hypothesize that parabens promote protumorigenic effects in breast cancer cell lines of West African ancestry. Methods Luminal breast cancer cell lines with West African ancestry (HCC1500) and European ancestry (MCF-7) were treated with biologically relevant doses of methylparaben, propylparaben, and butylparaben. Results Following treatment, estrogen receptor target gene expression and cell viability were examined. We observed altered estrogen receptor target gene expression and cell viability that was paraben and cell line specific. Conclusion This study provides greater insight into the tumorigenic role of parabens in the progression of breast cancer in Black women

Estudio de caso de sindrome neurologico asociado a astrocitoma

El astrocitoma es una neoplasia primaria del sistema nervioso central que se puede presentar en los animales; de las especies domésticas se ha observado con mayor frecuencia en los perros, de éstos, la edad y la raza son factores que influyen en su presentación, en estudios anteriores han descrito que el astrocitoma es una neoplasia que se presenta con mayor frecuencia en perros de características braquicefalicas, además que su malignidad depende de la localización y del carácter invasivo que presenta. Se presenta el estudio de caso de un paciente canino Labrador, macho de 6 años de edad, con un cuadro clínico neurológico de origen compresivo y obstructivo, derivado de una neoplasia intracraneala. Se documentó el caso a través del método clínico, basado en la historia clínica y la evolución del caso, imagenología e histopatología. Lo observado a través de las placas, correspondieron a una masa tumoral en la región ventral correspondiente al diencéfalo cuya localización se refiere adyacente a la estructura hipotalámica con efecto obstructivo y compresivo compatible con un astrocitoma; al estudio anatomopatológico se observo un tumor localizado adyacente al hipotálamo del cerebro; histológicamente el tumor se identifico como un astrocitoma gemistocítico

Molecular and descriptive epidemiology of intestinal protozoan parasites of children and their pets in Cauca, Colombia: A cross-sectional study

Background: Parasitic infections, particularly those caused by protozoa, represent a considerable public health problem in developing countries. Blastocystis, Giardia duodenalis, Cryptosporidium spp. and the Entamoeba complex (Entamoeba histolytica, Entamoeba dispar and Entamoeba moshkovskii) are the most common etiological causes of intestinal parasitic infections. Methods: We carried out a descriptive cross-sectional study in school-age children attending a daycare institution in commune eight of Popayán, Cauca (Southwest Colombia). A total of 266 fecal samples were collected (258 from children and eight from pets). Blastocystis, G. duodenalis, Cryptosporidium spp. and the Entamoeba complex were identified by microscopy, quantitative real-time PCR (qPCR) and conventional PCR. The concordance of qPCR and microscopy was assessed using the Kappa index. Molecular characterization was conducted to identify Blastocystis subtypes (18S), G. duodenalis assemblages (tpi and gdh) and Cryptosporidium species/subtypes (18S and GP60). Potential associations between intestinal parasitism and sociodemographic factors were examined using bivariate analyses. Results: A total of 258 fecal samples from children were analyzed by microscopy and 255 samples were analyzed by qPCR. The prevalence of Blastocystis was between 25.19% (microscopy) and 39.22% (qPCR), that of G. duodenalis was between 8.14% (microscopy) and 10.59% (qPCR), that of Cryptosporidium spp. was estimated at 9.8% (qPCR), and that of the Entamoeba complex was between 0.39% (conventional PCR) and 0.78% (microscopy). The concordance between microscopy and qPCR was very low. Blastocystis ST1 (alleles 4, 8, and 80), ST2 (alleles 11, 12, and 15), ST3 (alleles 31, 34, 36, 38,57, and 151), and ST4 (alleles 42 and 91), G. duodenalis assemblages AII, BIII, BIV and D, C. parvum subtype IIa and C. hominis subtype IbA9G3R2 were identified. The only identified member of the Entamoeba complex corresponded to E. histolytica. No statistically significant association was identified between parasitic infection and any sociodemographic variable. Conclusion: This study revealed the usefulness of molecular methods to depict the transmission dynamics of parasitic protozoa in southwest Colombia. The presence of some of these protozoa in domestic animals may be involved in their transmission. © 2019 The Author(s)

Taenia solium Cysticercosis Hotspots Surrounding Tapeworm Carriers: Clustering on Human Seroprevalence but Not on Seizures

Cysticercosis is a parasitic disease caused by the tapeworm Taenia solium, common in areas with limited sanitation or with migration from these populations. The adult parasite is hosted in the human intestine and releases large numbers of eggs with the feces. Human beings sometimes ingest eggs due to poor hygiene, and then eggs sometimes lodge on the brain and after a few years can cause intense headaches and seizures. During a study in seven rural communities in Peru, individuals exposed to T. solium eggs were often tightly clustered at the homes or immediate surrounding of the carriers of the adult parasite. However, no aggregation of cases of seizures was found near carriers. It appears that seizures do not cluster around carriers because several years pass between exposure to T. solium eggs and the onset of seizures. During these years the adult parasite has probably died or people had moved within or even outside their communities. Therefore, only a partial understanding of the epidemiology of cysticercosis is gained by studying seizures cases

Changes in the Viral Distribution Pattern after the Appearance of the Novel Influenza A H1N1 (pH1N1) Virus in Influenza-Like Illness Patients in Peru

Background: We describe the temporal variation in viral agents detected in influenza like illness (ILI) patients before and after the appearance of the ongoing pandemic influenza A (H1N1) (pH1N1) in Peru between 4-January and 13-July 2009. Methods: At the health centers, one oropharyngeal swab was obtained for viral isolation. From epidemiological week (EW) 1 to 18, at the US Naval Medical Research Center Detachment (NMRCD) in Lima, the specimens were inoculated into four cell lines for virus isolation. In addition, from EW 19 to 28, the specimens were also analyzed by real time-polymerase-chainreaction (rRT-PCR). Results: We enrolled 2,872 patients: 1,422 cases before the appearance of the pH1N1 virus, and 1,450 during the pandemic. Non-pH1N1 influenza A virus was the predominant viral strain circulating in Peru through (EW) 18, representing 57.8% of the confirmed cases; however, this predominance shifted to pH1N1 (51.5%) from EW 19–28. During this study period, most of pH1N1 cases were diagnosed in the capital city (Lima) followed by other cities including Cusco and Trujillo. In contrast, novel influenza cases were essentially absent in the tropical rain forest (jungle) cities during our study period. The city of Iquitos (Jungle) had the highest number of influenza B cases and only one pH1N1 case. Conclusions: The viral distribution in Peru changed upon the introduction of the pH1N1 virus compared to previous months. Although influenza A viruses continue to be the predominant viral pathogen, the pH1N1 virus predominated over the other influenza A viruses

Analysis of the melon (Cucumis melo) small RNAome by high-throughput pyrosequencing

Abstract Background Melon (Cucumis melo L.) is a commercially important fruit crop that is cultivated worldwide. The melon research community has recently benefited from the determination of a complete draft genome sequence and the development of associated genomic tools, which have allowed us to focus on small RNAs (sRNAs). These are short, non-coding RNAs 21-24 nucleotides in length with diverse physiological roles. In plants, they regulate gene expression and heterochromatin assembly, and control protection against virus infection. Much remains to be learned about the role of sRNAs in melon. Results We constructed 10 sRNA libraries from two stages of developing ovaries, fruits and photosynthetic cotyledons infected with viruses, and carried out high-throughput pyrosequencing. We catalogued and analysed the melon sRNAs, resulting in the identification of 26 known miRNA families (many conserved with other species), the prediction of 84 melon-specific miRNA candidates, the identification of trans-acting siRNAs, and the identification of chloroplast, mitochondrion and transposon-derived sRNAs. In silico analysis revealed more than 400 potential targets for the conserved and novel miRNAs. Conclusion We have discovered and analysed a large number of conserved and melon-specific sRNAs, including miRNAs and their potential target genes. This provides insight into the composition and function of the melon small RNAome, and paves the way towards an understanding of sRNA-mediated processes that regulate melon fruit development and melon-virus interactions.This work was supported by grants AGL2009-07552/AGR, BIO2006-13107 (Ministerio de Ciencia e Innovación, Spain) and MELONOMICS (Fundación Genoma España, Spain).Peer Reviewe

Characterization of mercury bioremediation by transgenic bacteria expressing metallothionein and polyphosphate kinase

<p>Abstract</p> <p>Background</p> <p>The use of transgenic bacteria has been proposed as a suitable alternative for mercury remediation. Ideally, mercury would be sequestered by metal-scavenging agents inside transgenic bacteria for subsequent retrieval. So far, this approach has produced limited protection and accumulation. We report here the development of a transgenic system that effectively expresses metallothionein (<it>mt-1</it>) and polyphosphate kinase (<it>ppk</it>) genes in bacteria in order to provide high mercury resistance and accumulation.</p> <p>Results</p> <p>In this study, bacterial transformation with transcriptional and translational enhanced vectors designed for the expression of metallothionein and polyphosphate kinase provided high transgene transcript levels independent of the gene being expressed. Expression of polyphosphate kinase and metallothionein in transgenic bacteria provided high resistance to mercury, up to 80 μM and 120 μM, respectively. Here we show for the first time that metallothionein can be efficiently expressed in bacteria without being fused to a carrier protein to enhance mercury bioremediation. Cold vapor atomic absorption spectrometry analyzes revealed that the <it>mt-1 </it>transgenic bacteria accumulated up to 100.2 ± 17.6 μM of mercury from media containing 120 μM Hg. The extent of mercury remediation was such that the contaminated media remediated by the <it>mt-1 </it>transgenic bacteria supported the growth of untransformed bacteria. Cell aggregation, precipitation and color changes were visually observed in <it>mt-1 </it>and <it>ppk </it>transgenic bacteria when these cells were grown in high mercury concentrations.</p> <p>Conclusion</p> <p>The transgenic bacterial system described in this study presents a viable technology for mercury bioremediation from liquid matrices because it provides high mercury resistance and accumulation while inhibiting elemental mercury volatilization. This is the first report that shows that metallothionein expression provides mercury resistance and accumulation in recombinant bacteria. The high accumulation of mercury in the transgenic cells could present the possibility of retrieving the accumulated mercury for further industrial applications.</p