Comentario a "La enseñanza del análisis matemático en el bachillerato y primer curso de universidad: una perspectiva desde la teoría de los obstáculos epistemológicos y los actos de comprensión"

O projecto de investigação “Estudio sobre la enseñanza-aprendizaje de conceptos fundamentales del análisis matemático (limite, continuidad, derivada e integral) en manuales y en estudiantes del Bachillerato-LOGSE y de primer curso universitario” parece muito interessante nomeadamente quando pretende estudar os problemas relacionados com o ensino e aprendizagem da Análise Matemática nos dois anos do Bachillerato e no primeiro curso da Universidade, e juntar na mesma equipa professores dos dois níveis de ensino envolvidos. O facto de se ligar o ensino da Análise Matemática no pré-universitário e no universitário é um aspecto inovador na investigação em educação matemática.

La construcción del significado de la asociación mediante actividades de análisis de datos: reflexiones sobre el papel del ordenador en la enseñanza de la estadística

Durante los cursos 1992 a 1998 hemos trabajado en un proyecto de investigación dirigido al estudio de las concepciones iniciales que tienen los alumnos sobre la asociación estadística y su evolución después de diversos experimentos de enseñanza usando ordenadores. En este trabajo, describimos brevemente los resultados de este proyecto, y los utilizamos como base para la reflexión sobre el papel del ordenador como recurso didáctico y como instrumento en la resolución de problemas, extendiendo las conclusiones presentadas en Batanero y cols. (1998).

Algunos apuntes sobre el uso de gráficas cartesianas

Lo que sigue tiene dos partes bien diferenciadas: una primera que presenta unas notas elaboradas in situ sobre la exposición de E. Lacasta y otra más elaborada, que más que una réplica pretende dar una visión algo diferente sobre el uso de las gráficas cartesianas. La reflexión personal y el concurso de las nuevas tecnologías marcan el enfoque que aquí se describe.

Análisis de las interacciones entre pares de alumnos en la resolución de problemas de matemáticas

La investigación que presentamos (Cobo, 1998) analiza las interacciones que se producen entre pares de alumnos en la resolución de problemas. Aunque no utilizamos la entrevista para recoger datos orales, la técnica que mostramos tiene elementos comunes a ella. La comparación de ambas puede abrir perspectivas de debate en cuanto a las semejanzas y diferencias respecto a la situación de observación, a los papeles comunicativos de los interlocutores, a la predeterminación del tema del diálogo, a las formas de analizar los datos obtenidos, etc. En las páginas siguientes hacemos una presentación general de la investigación, centrándonos, sobre todo, en la descripción de la técnica de recogida de datos orales que utilizamos, en el contexto en el que recogemos dichos datos y en el método de análisis que proponemos. En el Anexo mostramos, a modo de ejemplo, el resumen del microanálisis de uno de los episodios del proceso de resolución de un problema.

Un ejemplo de uso del análisis secuencial en la investigación en resolución de problemas en Educación Matemática

En este trabajo presentamos las posibilidades del análisis secuencial y la técnica de coordenadas polares para describir y analizar el proceso de resolución, por parejas, de un problema de optimización mediado por una i-actividad. Iniciamos el trabajo con algunos antecedentes teóricos y la descripción de las técnicas del análisis secuencial y de coordenadas polares. Finalmente ejemplificamos y describimos el potencial de estas técnicas.

Obstáculo geométrico del concepto de límite: una experiencia con fractales

El concepto de límite es difícil de enseñar y aprender, dado que trae consigo diversos obstáculos que deben ser superados en su totalidad para aprender dicho concepto; por lo tanto crear actividades que permitan su comprensión contribuirá significativamente a facilitar este proceso (enseñanza- aprendizaje). De esta manera se proponen cuatro actividades que parten de la construcción del fractal “árbol pitagórico”; dicho fractal aporta al tratamiento del obstáculo geométrico del concepto de límite. Este obstáculo surge a través de la evolución del concepto de límite y es precisamente de la historia de donde surgen las actividades que se aplican a estudiantes de grado undécimo en entornos virtuales y presenciales, mediadas por el trabajo colaborativo.

Phytogeographic characterization of Gran Canaria Island (Canary Islands-Spain)

Studies on the flora and fauna of the Canary Islands show that this Archipelago is one of the planet’s diversity hot spots. However, an analysis of the differences in the phytogeographic characteristics of each of the islands that make up this Archipelago is lacking. This article focuses on the phytogeographic characterization of the island of Gran Canaria. This island exhibits geological and climatic characteristics resulting in a rich vascular flora, including endemic species and genera that are significantly different from the other islands of the Archipelago. These differences are verified through statistical analysis of the existing similarity between the floras of the members of the Canary Islands. This study also analyses the subdivision of Gran Canaria Island, indicating that there are three well-differentiated areas on the island itself. Finally, this study argues that these areas, themselves, should be considered biogeographic sectors.

Project evaluation SOU-estuTUtor: mentors’ perception

The introduction of new degrees in the Faculty of Education and the relevance of educational guidance comes to them, as a compulsory subject in all four grades started from 2009-2010, gives the opportunity to return and boost the University Guidance Service (UGS) as a means of consistency with the profile of their education and professional development of its students. The aim of the paper focuses on the evaluation of the results after the first year of implementing a peer mentoring project, SOU-estuTUtor Project, developed from UGS with all degree students of the Faculty of Education for Students new entrants. Program has been evaluated through the perception and satisfaction of the mentors on the organization, training, skills developed and adapted to the needs of students. After one academic year of implementation, the results show, on the one hand, the satisfaction and commitment of those involved and the partial response to the needs of the students served, as well as the optimization of the personal resources of the university but also some limitations that make it necessary to review the mentoring program in terms of control and duration of the process.

Blogs as virtual environments for teaching and learning in Higher Education

The transformation of the Information and Communication Technologies (ICT) into knowledge and learning technologies is increasingly becoming a matter of concern. Teaching settings associated with the use of blogs in Higher Education are presented in this paper, proceeding from an innovative learning experience of projects carried out by a group of professors between 2009 and 2013. Both, teachers and students who took part in the subjects that implemented the blog, considered it as helpful resource to create a virtual and learning-teaching environment due to the multiple potentialities it offers. Among some of these potentialities, some stand out: it makes easier the access to knowledge, promotes a more active and reflective learning, expands the social experience of learning, provides evidence about the students’ progress which helps to reorient the teaching-learning process, and encourages the critical judgment. Nevertheless, several problems related with the students’ participation and the teacher’s blog management have been identified.

Creating replicas of scultural heritage through 3D reconstruction and low cost 3D printer in Education

The process of making replicas of heritage has traditionally been developed by public agencies, corporations and museums and is not commonly used in schools. Currently there are technologies that allow creating cheap replicas. The new 3D reconstruction software, based on photographs and low cost 3D printers allow to make replicas at a cost much lower than traditional. This article describes the process of creating replicas of the sculpture Goslar Warrior of artist Henry Moore, located in Santa Cruz de Tenerife. To make this process, first, a digital model have been created using Autodesk Recap 360, Autodesk 123D Catch and Autodesk Meshmixer MarkerBot MakerWare applications. Physical replication, has been reproduced in polylactic acid (PLA) by MakerBot Replicator 2 3D printer. In addition, a cost analysis using, in one hand, the printer mentioned, and in the other hand, 3D printing services both online and local, is included. Finally, there has been a specific action with 141 students and 12 high school teachers, who filled a questionnary about the use of sculptural replicas in education.

avaliação da textura de uvas de diferentes variedades

O objectivo deste trabalho foi avaliar as propriedades reológicas de diferentes variedades de uvas para vinificar. Foram estudadas as variedades brancas Siria, Antão Vaz, Perrum, Rabo de Ovelha e Arinto e as variedades tintas Trincadeira, Aragonez, Tinta Caiada, Moreto e Castelão. Para se avaliar da existência ou não de diferenças entre as variedades, foram efectuados testes em 200 bagos de cada variedade, nomeadamente a compressão do bago inteiro e a resistência da pelicula (pericarpo) e da polpa (mesocarpo) à penetração. Um segundo objectivo deste trabalho foi seleccionar os métodos e parâmetros que melhor caracterizam as variedades reologicamente, por forma a reduzir o tempo de análise e simplificar a metodologia de análise. Foram encontradas diferenças significativas entre as variedades para todos os parâmetros reológicos estudados. Os valores elevados de firmeza (F) obtidos pela máxima força durante a compressão do bago inteiro, pela máxima força durante o teste de penetração da película, e pela força a 3 mm de deformação da polpa, demostraram serem bons indicadores para serem usados em trabalhos futuros.

Effect of storage on physical-chemical properties and phenolics of sweet cherry from São Julião region.

Effect of storage on physical-chemical properties and phenolics of sweet cherry from São Julião region. A.C. Agulheiro-Santos1, F. Vieira1, D. Gonzalez2, M. Lozano2, V. Palma1, A.E. Rato1 1Universidade de Évora. Instituto de Ciências Agrárias e Ambientais Mediterrânica (ICAAM). 7000 Évora, Portugal. 2Centro de Investigaciones Científicas y Tecnológicas de Extremadura (CICYTEX). Ctra. San Vicente. Finca Santa Engracia. 06071 Badajoz, Spain. Worldwide the consumption of fruit and vegetables is increasing due to the dietary guidelines recommended by nutritionist. Because of their high content on phenols, vitamins, mineral and antioxidants, berry fruits are consumed not only in fresh forms but also as processed and derivative products such as juices, yogurts, jellies and dried fruits. As a high consumed red fruit, sweet cherry has been the focus on some studies, mainly regarding bioactive compounds content. “Sweetheart” cherries from São Julião region (Alentejo, Portugal) from two different production campaigns were kept in different storage conditions in order to evaluate both the environmental and storage effect on some physical-chemical properties and phenolics. Cold conditions - Cold (1 ºC, 95% RH) and modified atmosphere - MA (1 ºC, 95% RH with micro-perforated bags of Pplus®, Sidlaw Packaging, Bristol, UK) were tested. In order to establish the appropriate storage conditions, individual phenolic acids and physical-chemical properties were analysed during two consecutive years. Results show a general decrease on phenolic compounds content between cherries from both years. It is also observed that MA conditions do not affect significantly both phenolics and physical-chemical parameters when compared with Cold conditions. Additionally, it is observed similar behaviour on Cold and MA sweet cherries regarding its pH, total soluble solids content (TSS), titratable acidity (TA) and colour and individual phenols during storage time. Concluding, these results show, as expected, changes between cultivars which may be correlated with the environmental conditions on different years. Keywords: sweet cherry, postharvest, phenols, physical-chemical, storage conditions.

La migración mexica: ¿invención o historia?

Se discute la relación entre mito e historia en las tradiciones históricas relativas a la migración de los mexicas de Aztlan a México-Tenochtitlan, buscando superar la dicotomía que intenta clasificar estos relatos en alguna de estas dos categorías.

Evolução geológica de Portugal continental durante o Cenozóico - sedimentação aluvial e marinha numa margem continental passiva (Ibéria ocidental)

6º Simposio sobre el Margen Ibérico Atlántico MIA09

Memorias.

UANL