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.

Riskmática: Una tecnología educativa desarrollada con Unity

Historically, teachers have always searched for a connection with their students to make education interesting and a vital experience. In the 19th century, pedagogue Johann Heinrich Pestalozzi taught children how to sum using wood blocks. His successors have followed his legacy and today they use a wide variety of media, including board games, in order to reach out to their students. These methods are denominated educational technologies, which are defined as the study and ethical practice of facilitating learning and improving performance by creating, using, and managing appropriate technological processes and resources. With the advent of the information technologies, teachers have at their disposal new media with which they can increase the interest of their students. This technologic revolution is changing the present educational model. The objective of this dissertation is to develop an educational videogame in order to help students learn mathematics. To reach this goal, the videogame has been developed with the game engine Unity as the main tool. Additionally, agile software development methodologies as well as other software engineering techniques have also been used. The result is Riskmatica, an educational videogame based on geographical domination in which knowledge is the best weapon. The players must conquer enemy teritories answering correctly a mathecatical question. Moreover the videogame has the functionality required to configure a new game and input new questions. To conclude, this project has created an educational technology which greatly appeals to students and that can be used by the educators to improve their lessons in mathematics.---RESUMEN---A lo largo de la historia, los educadores siempre han buscado conectar con los alumnos para poder captar su interés y hacer que la educación se convierta en una experiencia vital. El pedagogo Johann Heinrich Pestalozzi conseguía esto en el siglo XIX, enseñando a niños a contar con bloques de madera. Sus sucesores han seguido su legado y hoy en día utilizan variedad de medios con los que motivar a sus alumnos, en algunos casos los juegos de mesa. Estos métodos son denominados tecnologías educativas, que se definen como los estudios y prácticas éticas que facilitan y mejoran la enseñanza, mediante la creación, el uso y el empleo de procesos y recursos tecnológicos. Con el advenimiento de las tecnologías de la información, los educadores tienen a su disposición un nuevo medio con el que llegar al alumnado. Esta revolución tecnológica está cambiando el modelo educativo actual. El objetivo de este proyecto es el de crear un videojuego educativo que ayude a los alumnos a estudiar matemáticas. Para lograrlo se ha utilizado el popular motor de videojuego Unity como herramienta principal. También se han empleado metodologías ágiles de desarrollo además de otras técnicas de ingeniería del software. El resultado es Riskmática, un videojuego educativo de dominación geográfica en el que el arma más eficaz es el conocimiento. Los jugadores deberán conquistar territorios a sus adversarios mediante la respuesta de preguntas de carácter matemático. Además el videojuego cuenta con la funcionalidad necesaria para configurar una partida e introducir nuevas preguntas. Como conlusión, este proyecto ha logrado crear una tecnología educativa muy atractiva para los alumnos con la que los profesores pueden mejorar la enseñanza de las matemáticas.

Aprendizaje del baloncesto en Educación Secundaria utilizando el juego: Una propuesta de Investigación-acción.

El baloncesto es un deporte basado en unos principios de juego sencillos y unas exigencias físicas y técnicas en la iniciación asumibles por todos los alumnos. Ofreciendo las herramientas adecuadas y adaptando las tareas de aprendizaje al contexto se puede conseguir una competencia elevada. Es necesario llevar a cabo una planificación adecuada y una selección de tareas apropiadas. El juego posee unas características que le convierten en un elemento con gran potencial educativo, en especial para Educación Física, debido al placer que genera y al espacio que ofrece para expresarse y utilizar el cuerpo. A través de este trabajo se propone una Unidad Didáctica de Baloncesto vertebrada por el uso del juego como elemento vehicular. La Investigación-acción es un proceso que explora directamente sobre el terreno, siendo muy sencillo y práctico para aplicar en el ámbito educativo. Engloba de manera casi simultánea el proceso de investigación y el de búsqueda de soluciones. Para analizar el resultado de dicha metodología se exponen los elementos básicos para llevar a cabo un trabajo de Investigación-acción paralelo y adaptado al Baloncesto y la Unidad Didáctica. Basketball is a sport based on easy game principles. Every student is capable of reaching physical and technical request for amateur practice. High skills in basketball can be obtained with suitable tools and adapted activities to the current environment. Appropriate planning and tasks are required for that purpose. In education game activities turn to be an option with excellent opportunities, especially for physical education. It provides students a way to express feelings, practice with their body and have fun. The aim of this project is to propose a basketball teaching unit focused on gaming tasks. Participatory action research intervenes directly on the field, simple and practical to be used in educational context. This model links researching and problem solving on the same process. The basic path to perform a participatory action research is given to analyze the results of carrying out the proposed teaching unit.

Traditional education vs modern education. What is the impact of teaching techniques' evolution on students learning process?

The main objective of this article is to focus on the analysis of teaching techniques, ranging from the use of the blackboard and chalk in old traditional classes, using slides and overhead projectors in the eighties and use of presentation software in the nineties, to the video, electronic board and network resources nowadays. Furthermore, all the aforementioned, is viewed under the different mentalities in which the teacher conditions the student using the new teaching technique, improving soft skills but maybe leading either to encouragement or disinterest, and including the lack of educational knowledge consolidation at scientific, technology and specific levels. In the same way, we study the process of adaptation required for teachers, the differences in the processes of information transfer and education towards the student, and even the existence of teachers who are not any longer appealed by their work due which has become much simpler due to new technologies and the greater ease in the development of classes due to the criteria described on the new Grade Programs adopted by the European Higher Education Area. Moreover, it is also intended to understand the evolution of students’ profiles, from the eighties to present time, in order to understand certain attitudes, behaviours, accomplishments and acknowledgements acquired over the semesters within the degree Programs. As an Educational Innovation Group, another key question also arises. What will be the learning techniques in the future?. How these evolving matters will affect both positively and negatively on the mentality, attitude, behaviour, learning, achievement of goals and satisfaction levels of all elements involved in universities’ education? Clearly, this evolution from chalk to the electronic board, the three-dimensional view of our works and their sequence, greatly facilitates the understanding and adaptation later on to the business world, but does not answer to the unknowns regarding the knowledge and the full development of achievement’s indicators in basic skills of a degree. This is the underlying question which steers the roots of the presented research.

How Blended Learning Reduce Underachievement in Higher Education: An Experience in Teaching Computer Sciences.

This paper presents a blended learning approach and a study evaluating instruction in a software engineering-related course unit as part of an undergraduate engineering degree program in computing. In the past, the course unit had a lecture-based format. In view of student underachievement and the high course unit dropout rate, a distance-learning system was deployed, where students were allowed to choose between a distance-learning approach driven by a moderate constructivist instructional model or a blended-learning approach. The results of this experience are presented, with the aim of showing the effectiveness of the teaching/learning system deployed compared to the lecture-based system previously in place. The grades earned by students under the new system, following the distance-learning and blended-learning courses, are compared statistically to the grades attained in earlier years in the traditional face-to-face classroom (lecture-based) learning.

Survey on integration of Applied Geology and Geomorphology in Civil Engineering curricula in the framework of the European Higher Education Area (EHEA) by using practical trips

The engineer must have sufficient theoretical knowledge to be applied to solve specific problems, with the necessary capacity to simplify these approaches, and taking into account factors such as speed, simplicity, quality and economy. In Geology, its ultimate goal is the exploration of the history of the geological events through observation, deduction, reasoning and, in exceptional cases by the direct underground exploration or experimentation. Experimentation is very limited in Geology. Reproduction laboratory of certain phenomena or geological processes is difficult because both time and space become a large scale. For this reason, some Earth Sciences are in a nearly descriptive stage whereas others closest to the experimental, Geophysics and Geochemistry, have assimilated progress experienced by the physics and chemistry. Thus, Anglo-Saxon countries clearly separate Engineering Geology from Geological Engineering, i.e. Applied Geology to the Geological Engineering concepts. Although there is a big professional overlap, the first one corresponds to scientific approach, while the last one corresponds to a technological one. Applied Geology to Engineering could be defined as the Science and Applied Geology to the design, construction and performance of engineering infrastructures in and field geology discipline. There has been much discussion on the primacy of theory over practice. Today prevails the exaggeration of practice, but you get good workers and routine and mediocre teachers. This idea forgets too that teaching problem is a problem of right balance. The approach of the action lines on the European Higher Education Area (EHEA) framework provides for such balance. Applied Geology subject represents the first real contact with the physical environment with the practice profession and works. Besides, the situation of the topic in the first trace of Study Plans for many students implies the link to other subjects and topics of the career (tunnels, dams, groundwater, roads, etc). This work analyses in depth the justification of such practical trips. It shows the criteria and methods of planning and the result which manifests itself in pupils. Once practical trips experience developed, the objective work tries to know about results and changes on student’s motivation in learning perspective. This is done regardless of the outcome of their knowledge achievements assessed properly and they are not subject to such work. For this objective, it has been designed a survey about their motivation before and after trip. Survey was made by the Unidad Docente de Geología Aplicada of the Departamento de Ingeniería y Morfología del Terreno (Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos, Universidad Politécnica de Madrid). It was completely anonymous. Its objective was to collect the opinion of the student as a key agent of learning and teaching of the subject. All the work takes place under new teaching/learning criteria approach at the European framework in Higher Education. The results are exceptionally good with 90% of student’s participation and with very high scores in a number of questions as the itineraries, teachers and visited places (range of 4.5 to 4.2 in a 5 points scale). The majority of students are very satisfied (average of 4.5 in a 5 points scale).

Design and implementation of a mathematical videogame

This paper presents videogames as a very useful tool in high studies with respect to mathematical matters. It describes the implementation of a videogame developed by its authors which makes it possible for students to reinforce mathematical concepts in a motivating environment. With this work we intend to contribute to the process of engaging a bigger number of university teaching professionals and researchers in the use of serious games and the study of their theoretical frameworks, design, development and application of scientific education. With this idea the authors of the present paper have created and developed the videogame “The Math Castle” which consists in a series of tests through which various aspects of Mathematics are dealt with, especially in the areas of Discrete Mathematics, which due to its nature can be particularly well adapted to this kind of activity, Analysis or Geometry. In this paper there lies a complete description of the game developed and the results obtained with it.