Online games for the teaching of mathematics

In this article we present a didactic experience developed by the GIE (Group of Educational Innovation) “Pensamiento Matemático” of the Polytechnics University of Madrid (UPM), in order to bring secondary students and university students closer to Mathematics. It deals with the development of a virtual board game called Mate-trivial. The mechanics of the game is to win points by going around the board which consists of four types of squares identified by colours: “Statistics and Probability”, “Calculus and Analysis”, “Algebra and Geometry” and “Arithmetic and Number Theory ”. When landing on a square, a question of its category is set out: a correct answer wins 200 points, if wrong it loses 100 points, and not answering causes no effect on the points, but all the same, two minutes out of the 20 minutes that each game lasts are lost. For the game to be over it is necessary, before those 20 minutes run out, to reach the central square and succeed in the final task: four chained questions, one of each type, which must be all answered correctly. It is possible to choose between two levels to play: Level 1, for pre-university students and Level 2 for university students. A prototype of the game is available at the website “Aula de Pensamiento Matemático” developed by the GIE: http://innovacioneducativa.upm.es/pensamientomatematico/. This activity lies within a set of didactic actions which the GIE is developing in the framework of the project “Collaborative Strategies between University and Secondary School Education for the teaching and learning of Mathematics: An Application to solve problems while playing”, a transversal project financed by the UPM.

The online case study development for the teaching of building structures reinforcement

The Reinforcement of Building Structures is one of the topics of the Master in Building Innovation Technology (MBIT) of Universidad Politécnica de Madrid (UPM). Since the beginning of the delivery of this master, case studies have been chosen as the teaching methodology. For the 2011-2012 course the online education of this subject was implemented, instead of the classical learning based on attendance. Through ICT’s (Information and Communication Technologies) students are provided with much more and more selective information than through the classical learning. ICT’s can be used for search, enquiries and reporting. Using the online tools has been proved, through the results obtained and based on the surveys made amongst students, to be a successful experience.

Soft Skills: A Comparative Analysis Between Online and Classroom Teaching

Currently the Spanish universities are making a great effort to effectively incorporate the development and assessment of generic skills in their training programs. Information and communications technologies (ICT) offer a wide range of possibilities but create uncertainty among teachers about the process and results. It is considered of interest to conduct a study to analyze the extent to which social skills like commitment, communication and teamwork are acquired by students and teachers. It seeks to ascertain the influence of the learning context, online or classroom training, in the development of these personal skills among the participants in the sample. For this study two universities have been chosen, Universidad a Distancia de Madrid (UDIMA) offering online training environment, and Universidad Politécnica de Madrid (UPM) with classroom training modality. A total of 257 individuals, 230 students and 27 teachers have answered the survey called Evalsoft. This instrument was designed in the project with the same name by a research team from Universidad Complutense of Madrid (UCM). Some interesting conclusions can be highlighted: it is in the online context where there are higher levels of commitment and teamwork than in the classroom modality; teachers have higher social skills that students and these improve with age. Sex and the training program appear to influence these social skills.

CRYPT4YOU y la utilidad de los MOOCs en la formación online en lengua española.

En los últimos dos años la formación online ha experimentado un auge significativo gracias al paradigma de formación denominado MOOC (Massive Open Online Course). Un MOOC simplifica la formación a distancia gracias a sus características de abierto, colaborativo, masivo y gratuito. Por desgracia en lengua española la utilización de este tipo de recurso formativo todavía es minoritaria. La presente investigación recoge una experiencia de innovación educativa en la que se destaca el diseño, implementación y difusión del primer MOOC en lengua española dedicado a la seguridad de la información por parte de la Universidad Politécnica de Madrid. Esta experiencia aborda las ventajas e inconvenientes de este tipo de recurso formativo, debatiendo aspectos vitales para la elaboración prolongada de cursos tipo MOOC, como son la interactividad y retroalimentación con los usuarios del curso o la forma más adecuada de representar el contenido docente. Todas estas cuestiones reciben respuesta en el MOOC Crypt4you, que con más de 10 meses de vida permite vislumbrar un gran éxito de este tipo de cursos en la formación, al menos en lengua española, de hispanohablantes. ABSTRACT In the last two years, online training has boomed thanks to significant training paradigm called MOOC (Massive Open Online Course). A MOOC simplifies remote training thanks to its open, collaborativend free mass features. Unfortunately, the use of this kind of learning resource in Spanish teaching is still a minority. This research includes an educational experience which emphasizes the design, implementation and dissemination of the first Spanish-language MOOC devoted to information security by the Technical University of Madrid. This experiment addresses the advantages and disadvantages of this kind of learning resource discussing critical issues for developing type MOOC prolonged courses, such as interactivity and feedback from users of the course or the most appropriate way of representing the educational content. All these questions are answered in the MOOC Crypt4you which, over its 10 months of life, can glimpse a great success of this type of training course, at least in Spanish, Spanish-speakers.

Establishing a new paradigm for teaching mathematics at engineering schools

This paper analyzes an ideal model of teaching, thinking after 5-10 years in Universities in the world. We propose the collaborative work for a fruitful learning. According with that, we expose some of our previous projects in this area and some ideas for the ?global education?, focused on the teaching and learning of mathematics to engineering students. Furthermore we explain some of our initiatives for implementing the "Bologna process?. Aspects related to the learning and assessments will be analyzed. The establishment of the new teaching paradigm has to change the learning process and we will suggest some possible initiatives for adapting the learning to the new model. The paper ends by collecting some conclusions.

Evaluación para el aprendizaje en la asignatura sistemas operativos en modalidad online: un estudio cualitativo basado en la taxonomía de Bloom

La asignatura Sistemas Operativos presenta dificultades para su aprendizaje, pero poco se conoce acerca de las mismas, ya que no han sido determinadas ni estudiadas por la literatura. Asimismo, los trabajos existentes sobre la enseñanza y aprendizaje de Sistemas Operativos se limitan a proponer distintos enfoques para impartir la asignatura y en general no evalúan el aprendizaje de los estudiantes para comprobar la eficacia del método propuesto ni usan metodologías de investigación rigurosas. Por otra parte, la impartición de la asignatura Sistemas Operativos en modalidad online ha sido escasamente estudiada y podría tener dificultades adicionales a las de la modalidad presencial, ya que el contexto online impone una serie de restricciones tanto para el profesor como para el estudiante. En la presente tesis se ha llevado a cabo una evaluación formativa en la asignatura Sistemas Operativos, perteneciente al Grado de Ingeniería Informática de una universidad online. El objetivo inicial de la evaluación era descubrir las dificultades de los estudiantes para la comprensión de los conceptos de la asignatura. Posteriormente y, dada la buena aceptación de la evaluación por parte de los estudiantes, se ampliaron los objetivos del trabajo para explorar los efectos de la evaluación realizada sobre el aprendizaje. La evaluación formativa diseñada está basada en la taxonomía revisada de Bloom y sus principales objetivos son: (a) promover el aprendizaje significativo y (b) hacer a los estudiantes conscientes de su proceso de aprendizaje. La metodología de investigación utilizada es el estudio de caso cualitativo y la muestra está constituida por 9 estudiantes del total de 13 matriculados en la asignatura. Los datos cualitativos analizados proceden de las pruebas de evaluación formativa llevadas a cabo por los estudiantes durante la impartición de la asignatura. Los conceptos de sistemas operativos que han resultado más difíciles de comprender en el curso online estudiado han sido las interrupciones y los semáforos. Además, alrededor de estos conceptos se han identificado las dificultades específicas y sus posibles causas. Las dificultades descubiertas acerca de los semáforos corroboran las investigaciones existentes en el área de programación concurrente. El resto de las dificultades identificadas no habían sido determinadas por la literatura existente. En cuanto a los efectos de la evaluación formativa sobre el aprendizaje, la evidencia empírica muestra que ésta ha provocado en los estudiantes una reflexión profunda sobre los conceptos de la asignatura y sobre su propio proceso de aprendizaje. El estudio de caso presentado puede ayudar a los profesores del área de ingeniería a crear evaluaciones formativas en cursos online. La tesis, por tanto, realiza aportaciones relevantes en las áreas de enseñanza y aprendizaje de sistemas operativos, evaluación formativa, metodologías cualitativas y educación online. ABSTRACT Operating Systems is a difficult subject to learn; however little is known about said difficulties, as they have not been studied nor determined by the relevant literature. Existing studies on teaching and learning the subject of operating systems are limited to presenting different approaches for teaching the subject and generally do not evaluate students’ learning to verify the effectiveness of the proposed methods, nor do they use rigorous research methodologies. On the other hand, there are very few studies on teaching operating systems online, which may inherently present more difficulties than the in-person format, since an online context imposes a series of restrictions on both professors and students, such as not having face-to-face interaction for communications. This thesis studies a formative assessment of the subject of operating systems, as part of the Degree in Information Technology Engineering for an online university. The initial objective of this assessment was to determine the students’ difficulties in conceptual comprehension for this subject. Once students had accepted the assessment, the study’s objectives were expanded to include an investigation of the effects of the assessment on learning. The designed formative assessment was based on Revised Bloom’s Taxonomy with the following main objectives: (a) to promote meaningful learning and (b) (b) to make students aware of their learning process. The research methodology involves a qualitative case study with a sample consisting of 9 of the total 13 students registered for this course. The qualitative data analyzed comes from the formative assessment tests taken by these students during the course. The most difficult operating systems concepts for students in the online course were interrupts and semaphores. Additionally, the specific difficulties and their possible causes have been identified. The students’ comprehension difficulties with semaphores corroborate the existing research in the area of concurrent programming. The other identified difficulties were not discussed in the existing literature. Regarding the effects of the formative assessment on learning, the empirical evidence shows that it causes students to reflect carefully on the subject’s concepts as well as their own learning process. The presented case study can help professors in the area of engineering to create formative assessments for online courses. This thesis, therefore, makes relevant contributions to the areas of teaching and learning operating systems, formative assessment, qualitative methodologies, and online education.

Innovación educativa en las redes sociales online: un estudio en la educación superior

Las redes sociales son tan antiguas como las relaciones entre los humanos, ya que las labores de cooperación siempre fueron imprescindibles en los procesos de asociación, tanto los formados por simples células hasta los constituidos por seres vivos. La sociedad está formada por una gran cantidad de situaciones que fomentan dicha colaboración. Desde la creación del Espacio Europeo de Educación Superior se ha promovido la utilización de entornos virtuales de aprendizaje que favorezcan una evaluación más transparente y objetiva. Las redes sociales online son las interfaces digitales más utilizadas por los estudiantes universitarios, por lo que son muchos los expertos que recomiendan analizar la utilidad educativa de este tipo de aplicaciones. Siguiendo estas recomendaciones se implementó una red social online, llamada Formatio, que se utilizó para apoyar el proceso de enseñanza y aprendizaje en la educación superior. El objetivo general de esta tesis doctoral fue valorar el nivel de aceptación de este entorno virtual de aprendizaje para los estudiantes universitarios que participaron en este estudio. Para evaluar el uso de la plataforma se analizaron las actividades generadas por los 172 estudiantes, seleccionados aleatoriamente, matriculados en la asignatura de Estadística y TIC en el curso 2010/2011, del Grado en Ciencias de la Actividad Física y el Deporte. Con el objetivo de estimar la utilidad educativa de las redes sociales online se diseñó y validó el instrumento de Valoración de Recursos Educativos Online (VREO), que fue aplicado a otra muestra aleatoria de 452 estudiantes de la misma facultad durante el curso 2011/2012. Los resultados confirman el éxito de este tipo de espacios virtuales gracias a la alta frecuencia de uso conseguida y a las buenas puntuaciones obtenidas por los alumnos, quienes tienen una buena opinión sobre las ventajas de usar las redes sociales online en la educación superior. De todos los recursos analizados la red social online Formatio ha sido la opción mejor valorada, seguida de Moodle y Facebook en segundo y tercer lugar, y de Twitter y YouTube, en cuarta y en quinta posición. Este estudio establece un punto de partida para futuras investigaciones encaminadas a obtener ciertos indicadores cualitativos y cuantitativos que faciliten una evaluación más justa de los actores integrantes de los sistemas educativos, que ayude a abrir las puertas de nuestra sociedad a la responsabilidad, la eficiencia, la transparencia y la objetividad. ABSTRACT Social networks are as old as human relations, since cooperative work has always been indispensable in all processes of association, from those composed of simple cells to those formed by living beings. Society is shaped by a large amount of situations that stimulate this cooperation. Since the creation of the European Higher Education Area, the use of virtual learning environments that favor more transparent and objective evaluation has been promoted. On-line social networks are the digital interfaces most widely used by university students, which is the reason why many experts recommend an analysis of the educational utility of this type of applications. Following these recommendations, an on-line social network called Formatio was created, which was used in order to support the teaching and learning process in higher education. The general objective of this doctoral dissertation was to evaluate the level of acceptance of this virtual learning environment by the university students who participated in this study. In order to evaluate the use of the platform, the activity created by 172 students chosen at random was analyzed; they were registered in the course on Statistics and Information and Communication Technology of the degree program in Sciences of Physical Activity and Sport during the academic year 2010/2011. With the goal of appraising the educational utility of on-line social networks, a tool for Evaluation of On-line Educational Resources (EOER) was designed, validated, and applied to another random sample of 452 students from the same department during the academic year 2011/2012. The results confirm the success of this type of virtual spaces, thanks to the high frequency of use achieved and the good grades obtained by the students who had a favorable opinion of the advantages of using on-line social networks in higher education. Out of all the resources analyzed, the Formatio on-line social network was the option that received the best evaluation, followed by Moodle and Facebook, which were second and third, and Twitter and YouTube, in fourth and fifth place respectively. This study establishes a starting point for future research that aims to obtain certain qualitative and quantitative indicators that will make it easier to engage in a fairer evaluation of the parties involved in education systems, which will help open the doors of our society to responsibility, efficiency, transparency, and objectivity.