The development of professor's professional knowledge in Psychology

This work belongs to the Project "Teaching and learning Psychology: a study of the educational practice in professors and beginners". It is part of an investigation program developed in the context of the subject "Didactic and Practical Planning of Psychology teaching" in which we have been working since 1998. This subject is also considered as the final stage of the formative itinerary for Psychology s professors. The reached results show the incidence that the beliefs and professors' representations have in the teaching processes. By getting into the studies centered in the educational knowledge we guide the inquiry around the development of the professor's professional knowledge and particularly the development of their formation. Our proposal contemplates a formation device which incorporates the observation, reflection, evaluation and self-evaluation of the practice in order to facilitate the reconstruction, significance and re-significance of the teaching and learning processes by giving relevance to the development of the teacher professional knowledge. The analysis of teaching practices process reveals that the mediations that cross the knowledge in the being taught instances are constituted in reflections axes. This involves the future professor's relationship with the knowledge and their projection in the construction of the professional identity.

The development of the psychologist's professional knowledge : A study of graduated in the U.N.L.P., their insert in the educational field

Los estudios sobre la formación de profesores en psicología nos fueron situando en el proceso de construcción del conocimiento profesional tanto en profesores como en psicólogos que ejercen la docencia, visualizando el papel que en él asumen los conocimientos construidos en los ámbitos académico y profesional y la relación entre ambos.

The adolescent towards knowledge

The following article deals with knowledge, relationships, representations and values that pupils together with teachers perform daily at school. It includes our research project called "Adolescence and School" which has been implemented since 1995 in our Institution, subject called "Psychological Foundation on education". Throughout its development, we have tried to get to know about in what positions teachers and students are towards knowledge. Our purpose is to make a critic- reflexive perspective possible on the part of university students who are to become teachers, as regards their knowledge on how students are formed on the E.G.B and Polimodal school levels. What plays one of the main roles on the student's career choice is their getting closer to the educative institution as well as to their teachers and the culture of the school. We have chosen a qualitative perspective for this article. Our proceedings on the working field are focused on teacher's interviews and on the participation of two or three students that had access to the concretion of a semi-structured interview. A central topic within teacher's and student's speeches were the topics dealt in class and their motivation, been there a convergence with respect to the effects that these factors have over learning. Therefore, there is no reflection by the actors as regards the role that intention and willingness play in teacher-student-knowledge relationship and its projection in the teaching-learning process.

The development of professor's professional knowledge in Psychology

This work belongs to the Project "Teaching and learning Psychology: a study of the educational practice in professors and beginners". It is part of an investigation program developed in the context of the subject "Didactic and Practical Planning of Psychology teaching" in which we have been working since 1998. This subject is also considered as the final stage of the formative itinerary for Psychology s professors. The reached results show the incidence that the beliefs and professors' representations have in the teaching processes. By getting into the studies centered in the educational knowledge we guide the inquiry around the development of the professor's professional knowledge and particularly the development of their formation. Our proposal contemplates a formation device which incorporates the observation, reflection, evaluation and self-evaluation of the practice in order to facilitate the reconstruction, significance and re-significance of the teaching and learning processes by giving relevance to the development of the teacher professional knowledge. The analysis of teaching practices process reveals that the mediations that cross the knowledge in the being taught instances are constituted in reflections axes. This involves the future professor's relationship with the knowledge and their projection in the construction of the professional identity.

The development of the psychologist's professional knowledge : A study of graduated in the U.N.L.P., their insert in the educational field

Los estudios sobre la formación de profesores en psicología nos fueron situando en el proceso de construcción del conocimiento profesional tanto en profesores como en psicólogos que ejercen la docencia, visualizando el papel que en él asumen los conocimientos construidos en los ámbitos académico y profesional y la relación entre ambos.

The adolescent towards knowledge

The following article deals with knowledge, relationships, representations and values that pupils together with teachers perform daily at school. It includes our research project called "Adolescence and School" which has been implemented since 1995 in our Institution, subject called "Psychological Foundation on education". Throughout its development, we have tried to get to know about in what positions teachers and students are towards knowledge. Our purpose is to make a critic- reflexive perspective possible on the part of university students who are to become teachers, as regards their knowledge on how students are formed on the E.G.B and Polimodal school levels. What plays one of the main roles on the student's career choice is their getting closer to the educative institution as well as to their teachers and the culture of the school. We have chosen a qualitative perspective for this article. Our proceedings on the working field are focused on teacher's interviews and on the participation of two or three students that had access to the concretion of a semi-structured interview. A central topic within teacher's and student's speeches were the topics dealt in class and their motivation, been there a convergence with respect to the effects that these factors have over learning. Therefore, there is no reflection by the actors as regards the role that intention and willingness play in teacher-student-knowledge relationship and its projection in the teaching-learning process.

The development of professor's professional knowledge in Psychology

This work belongs to the Project "Teaching and learning Psychology: a study of the educational practice in professors and beginners". It is part of an investigation program developed in the context of the subject "Didactic and Practical Planning of Psychology teaching" in which we have been working since 1998. This subject is also considered as the final stage of the formative itinerary for Psychology s professors. The reached results show the incidence that the beliefs and professors' representations have in the teaching processes. By getting into the studies centered in the educational knowledge we guide the inquiry around the development of the professor's professional knowledge and particularly the development of their formation. Our proposal contemplates a formation device which incorporates the observation, reflection, evaluation and self-evaluation of the practice in order to facilitate the reconstruction, significance and re-significance of the teaching and learning processes by giving relevance to the development of the teacher professional knowledge. The analysis of teaching practices process reveals that the mediations that cross the knowledge in the being taught instances are constituted in reflections axes. This involves the future professor's relationship with the knowledge and their projection in the construction of the professional identity.

The development of the psychologist's professional knowledge : A study of graduated in the U.N.L.P., their insert in the educational field

Los estudios sobre la formación de profesores en psicología nos fueron situando en el proceso de construcción del conocimiento profesional tanto en profesores como en psicólogos que ejercen la docencia, visualizando el papel que en él asumen los conocimientos construidos en los ámbitos académico y profesional y la relación entre ambos.

A new way of teaching different subjects in a foreign language in the Building Engineering Degree at the Universidad Politécnica.

The European Union has been promoting linguistic diversity for many years as one of its main educational goals. This is an element that facilitates student mobility and student exchanges between different universities and countries and enriches the education of young undergraduates. In particular, a higher degree of competence in the English language is becoming essential for engineers, architects and researchers in general, as English has become the lingua franca that opens up horizons to internationalisation and the transfer of knowledge in today’s world. Many experts point to the Integrated Approach to Contents and Foreign Languages System as being an option that has certain benefits over the traditional method of teaching a second language that is exclusively based on specific subjects. This system advocates teaching the different subjects in the syllabus in a language other than one’s mother tongue, without prioritising knowledge of the language over the subject. This was the idea that in the 2009/10 academic year gave rise to the Second Language Integration Programme (SLI Programme) at the Escuela Arquitectura Técnica in the Universidad Politécnica Madrid (EUATM-UPM), just at the beginning of the tuition of the new Building Engineering Degree, which had been adapted to the European Higher Education Area (EHEA) model. This programme is an interdisciplinary initiative for the set of subjects taught during the semester and is coordinated through the Assistant Director Office for Educational Innovation. The SLI Programme has a dual goal; to familiarise students with the specific English terminology of the subject being taught, and at the same time improve their communication skills in English. A total of thirty lecturers are taking part in the teaching of eleven first year subjects and twelve in the second year, with around 120 students who have voluntarily enrolled in a special group in each semester. During the 2010/2011 academic year the degree of acceptance and the results of the SLI Programme have been monitored. Tools have been designed to aid interdisciplinary coordination and to analyse satisfaction, such as coordination records and surveys. The results currently available refer to the first and second year and are divided into specific aspects of the different subjects involved and into general aspects of the ongoing experience.

The introduction of teaching innovations into the traditional teaching of construction and building materials

The traditional teaching methods used for training civil engineers are currently being called into question as a result of the new knowledge and skills now required by the labor market. In addition, the European Higher Education Area is requesting that students be given a greater say in their learning. In the subject called Construction and Building Materials at the Civil Engineering School of the Universidad Politécnica de Madrid, a path was set three academic years ago to lead to an improvement in traditional teaching by introducing active methodologies. The innovations are based on cooperative learning, new technologies, and continuous assessment. The writers’ proposal is to offer their experience as a contribution to the debate on how students can be encouraged to acquire the skills currently demanded from a civil engineer, though not overlooking solid, top-quality training. From the outcomes obtained, it can be concluded that using new teaching techniques to supplement a traditional approach provides more opportunities for students to learn while boosting their motivation. In our case, the introduction of these changes has resulted in an increased pass rate of 29% on average, when such a figure is considered in the light of the mean value of passes during the last decade.

Student Reciprocal Peer Teaching as a Method for Active Learning: An Experience in an Electrotechnical Laboratory

Active learning is one of the most efficient mechanisms for learning, according to the psychology of learning. When students act as teachers for other students, the communication is more fluent and knowledge is transferred easier than in a traditional classroom. This teaching method is referred to in the literature as reciprocal peer teaching. In this study, the method is applied to laboratory sessions of a higher education institution course, and the students who act as teachers are referred to as ‘‘laboratory monitors.’’ A particular way to select the monitors and its impact in the final marks is proposed. A total of 181 students participated in the experiment, experiences with laboratory monitors are discussed, and methods for motivating and training laboratory monitors and regular students are proposed. The types of laboratory sessions that can be led by classmates are discussed. This work is related to the changes in teaching methods in the Spanish higher education system, prompted by the Bologna Process for the construction of the European Higher Education Area

A mathematical framework for new fault detection schemes in nonlinear stochastic continuous-time dynamical systems

n this work, a mathematical unifying framework for designing new fault detection schemes in nonlinear stochastic continuous-time dynamical systems is developed. These schemes are based on a stochastic process, called the residual, which reflects the system behavior and whose changes are to be detected. A quickest detection scheme for the residual is proposed, which is based on the computed likelihood ratios for time-varying statistical changes in the Ornstein–Uhlenbeck process. Several expressions are provided, depending on a priori knowledge of the fault, which can be employed in a proposed CUSUM-type approximated scheme. This general setting gathers different existing fault detection schemes within a unifying framework, and allows for the definition of new ones. A comparative simulation example illustrates the behavior of the proposed schemes.

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.

Jerónimo Sánchez Carranza y la Escuela Española de Esgrima

El deporte de la esgrima no siempre ha sido considerado como actualmente se conoce, ni tampoco el empleo de las armas ha sido el mismo en las diferentes épocas de la historia. Si nos centramos en la española, podemos decir que se hablaba de una forma particular de hacer esgrima, la cual era muy apreciada por el resto de los países europeos. También lo era la que se hacía en Italia. Como cualquier actividad que se desarrolla a lo largo del tiempo debe generarse desde unos comienzos. Estos comienzos siempre están en relación a alguna causa. Para centrarnos en nuestro estudio, los comienzos del manejo de la espada, de una manera lógica y razonada, se une en la persona y en la vida de Jerónimo Sánchez Carranza porque hasta que él no se decide a estudiar en profundidad la ciencia de las armas, no se ve con claridad si todo lo que se hacía con ellas era correcto o no y si todo lo que la inmensa mayoría hacía cuando tenía que utilizarlas estaba revestido de cierta coherencia y fundamento, es decir, tenía su verdad que se pudiera demostrar. Carranza estudia la esgrima que se empleaba en su época y en las anteriores y se da cuenta que tiene que dar una nueva visión de la forma de usar las armas, diferente a lo que la gran mayoría entendía hasta entonces. A Carranza se le ha considerado por muchos autores como el inventor de la esgrima española, hecho que se puede leer con bastante facilidad si se hojea algún tratado que hable de la esgrima española, sin embargo también se habla de Luis Pacheco de Narváez asignándole el mismo calificativo, aunn- ;o es posteriora Carranza. or tanto nuestro estudio se ha centrado en la vida de Jerónimo Sánchez Carranza y en ueva forma de emplear las armas por lo que hace que la tesis sea una tesis biográfica de dicho personaje, donde se ha resaltado mucho más el aspecto del manejo de las armas, de la Destreza. Partimos de las siguientes hipótesis: Carranza es el que sienta los principios técnicos dando forma y coherencia a la escuela de esgrima española gracias a sus aportaciones en los distintos aspectos metodológicos, técnicos y tácticos. La escuela de esgrima española tiene una estructura interna, responde a unas características determinadas y sirve de base a la esgrima que posteriormente se practica. Para que el estudio se pudiera llevar a cabo tuvimos que diseñar un esquema donde se pudieran recoger todos los aspectos que estuvieran relacionados con nuestro autor, de ahí surge el porqué de cada uno de los capítulos que hemos confeccionado. Dicho esquema responde a la visión actual de diferentes facetas de lo que hoy se estudia en diversas ciencias y que cuando Carranza vivía aún no se conocían. Para recoger información sobre su persona y su obra tuvimos en cuenta los distintos lugares donde se podía localizar la documentación necesaria, sobre todo Bibliotecas y Archivos, para ir confeccionando el método de trabajo que consistió en la recopilación de fuentes de todo tipo referidas al tema, pasando luego a la interpretación de las mismas. Esto nos dio una visión de conjunto que hizo que nos adentráramos en aquellos aspectos que más tarde tendríamos que analizar con mucho más detenimiento. En la tesis se puede observar dos partes bien diferenciadas que son las relacionadas; por un lado, a su vida y su tratado y, por otro, al contenido de sus teorías que son realmente las que se deben analizar necesariamente bajo unos conocimientos específicos de la actividad de la esgrima. En cuanto a su vida, se han destacado y estudiado los hechos más importantes de los que hay que resaltar, sobre todo, el que fuera considerado como el inventor de la destreza y de la manera tan particular de concebir dicho arte, diferente a lo que hasta ahora se venía haciendo y que dio paso a lo que se entendió por esgrima científica, quedando plasmada de tal manera que dio pie a la creación de una doctrina y una nueva forma de entender la esgrima la cual generó una línea de actuación que fue continuada por numerosos seguidores. Para todo ello tuvo mucho que ver el que Carranza fuera militar, la cultura y los estudios que poseía, así como la situación en la que se encontraba España además de la gente con quien se relacionaba, que por lo general, era gente culta y de clase social alta. Se ha estudiado también dentro del mismo apartado de su vida unos hechos que se le imputan y que en nuestra opinión son erróneos. Hemos considerado como más relevantes el que Carranza no fue quien riñó con Quevedo como se afirma en algunas de las obras que hemos tratado, sino que fue Pacheco quien tuvo dicha riña, ya que más bien Quevedo se mostraba partidario de las enseñanzas de Carranza, estando en contra de Pacheco. Tampoco fue quien inventó el florete como se dice en algunas ocasiones, ya que el florete aparece posteriormente como un arma de estudio de la técnica de la esgrima. Con respecto al apartado de su obra, se debe decir que tan solo escribió un único tratado que se publicó en 1582, aunque estaba acabado desde el año 1569. En el apartado de su escuela se debe destacar los fundamentos en los que basó sus postulados para que la destreza alcanzara el mismo nivel de las demás artes liberales y que lo hizo a través del estudio de la propia destreza. A lo largo del estudio que hemos realizado se puede apreciar cómo se está generando un arte que hasta ahora no había sido estudiado, viéndose los problemas que ello suponía, desde la organización de la materia a tratar, hasta cómo se debía enseñar, pasando a veces a tener que denominar conceptos de nueva aparición o renombrar y modificar antiguos que estaban anclados en puntos de partida equivocados, siendo éstos los que mayor trabajo le supuso. Diferencia bien dos aspectos básicos que debían existir en cualquier arte y más concretamente en la destreza que son: la teoría y la práctica, ambas deben estar en base a la razón ya que sería una de las formas por la que la destreza perduraría en el tiempo, junto con que esta razón estuviera apoyada en otras ciencias y con los principios de ellas. Carranza fue de la opinión de que el diestro debía conocer mediante el estudio, los elementos fundamentales con los que había que trabajar la destreza, estos elementos son el cuerpo del diestro y las armas, porque ambos van a intervenir en cualquier gesto o acción que se vaya a realizar. Del cuerpo estudió cada una de las partes que más importancia tiene cada vez que el diestro interviene y lo hace sobre todo en base a la medicina, relacionándolo con las matemáticas para poder sacar el máximo provecho, aconsejando que por el conocimiento del propio cuerpo, como el del contrario, se podrá emplear en determinadas situaciones, que si no se supiera de ello, no se sacaría el mismo resultado. De las armas lo que más resaltó fue, por un lado, que la espada debía ser el único arma que el diestro debía utilizar y, por otro, el hecho de que la espada la graduara para poder demostrar que no se hacia todo igual con las distintas partes de la misma porque no todo el arma tenía las mismas propiedades cuando se actuaba con ella. Una de las recomendaciones que dio fue que con la parte más próxima a la empuñadura se debía practicar la defensa por tener más fuerza con esta parte que con la punta y lo demostró con principios matemáticos. Se puede ver con la lectura de la tesis cómo Carranza aporta una nueva forma de trabajo en la que le da mucha importancia a la aplicación de los conocimientos, que previamente se han adquirido y para ello, es importante conocer bien los puntos fuertes y débiles del adversario. La adquisición de la práctica se debe realizar a través de la repetición para crear el hábito necesario que haga que el gesto salga fluido en cada uno de los movimientos que el diestro ejecute. Todo esto no sería posible si quien lo enseña no conoce cada uno de los elementos que intervienen en la destreza, por tanto, a la figura del maestro le da un lugar de una gran relevancia, ya que va a ser él quien tenga que guiar a los alumnos que enseñe. Lo primero que debe hacer los maestros es procurar saber lo máximo de la materia que va a enseñar, por lo que el maestro debe saber casi todo sobre la teoría y la práctica de la destreza, pero además esta teoría y práctica debe ser la correcta. Carranza persigue con su estudio, establecer los principios de la destreza, por lo menos, los más importantes, aunque fueran elementales, para que posteriormente se siguiera trabajando sobre ellos y poder conseguir que la destreza tenga cuerpo y forma de arte liberal, pudiéndose estudiar como cualquier otra, así de esta manera se haría un bien público, ya que los jóvenes se instruirían eficazmente en el uso de las armas, aunque el verdadero fin se encuentra en la conservación de la vida como manda la Fe Católica, siendo la destreza uno de los medios más eficaces para conseguirlo. Hemos dedicado un apartado de técnica y de táctica donde se refleja todo lo relacionado con las posiciones y movimientos que debe realizar el diestro para llegar a conseguir su objetivo, que es herir sin ser herido. Se han analizado las distintas tretas y el porqué de cada una desde el punto de vista del gesto y del movimiento. Si lo que se hace en destreza se relaciona con el adversario, nos adentramos en el terreno de la táctica donde se han estudiado como más importantes los conceptos del tiempo y la distancia, así como las energías que debe conservar el diestro para poder llevar a cabo un combate y del mismo salir victorioso sin llegar al agotamiento. Concluimos diciendo que de todo el estudio que se ha realizado, se ha podido comprobar que Carranza fue quien dotó a la destreza de unos principios técnicos, tácticos y metodológicos, por su forma de concebir este nuevo arte, así como que por la manera en que estableció sus teorías hizo que la destreza que se practicaba en España disfrutara de una estructura interna coherente que perduró a través de los años. SUMMARY The sport of fencing has not always been the respected sport that we know it to be today ñor has the use of weapons been the same throughout history. If we concéntrate on Spainish weapons, we can say that one particular type of sword ¡s spoken about. this sword being very respected by outher European countries, it was also the one that was respected and used in Italy. As with any activity that develops in time, it must evlove from some simple beginnings. Such basics beginnings are always in relation to a cause. To concéntrate on our study, the beginnings are, the use of the sword in a reasoned and logical manner, brought together in the life and times of Jerónimo Sánchez Carranza because until he decided to study in depth the science of weapons, we cannot see with calrity if their use was correct or not and if the vast majority , when they had to use them, used any foundation or coherence, that ¡s to say if any exactness of logical use could be demonstrated. Carranza studied the sword used in his time and those that had gone before, bearing in mind that he had a new visión of the form of use of weapons, different to what the vast majority had until then understood. Carranza has been considered by many historians as the inventor of the Spanish sword, a fact which can be seen with relative ease if one flicks through any work which deals with the Spanish sword, however, they also speak of Luis Pacheco de Narváez affording him the same title, even though he followed Carranza. In ar H our study has been centred on the life of Jerónimo Sánchez Carranza and his ne-" use of weapons. In effect this thesis is a biographical thesis of the said wherein the aspect of the use of weapons stands out more than their mastery. Given the following hypothesis: It was Carranza who evolved the first techniques giving form and coherence to the .Spanish School of Fencing, thanks to his contributions to the different aspects of method, íechnique and tactic. The Spanish School of Fencing had an ¡nternal structure anaswerable to pre-detremined characteristics and served as a base for the fencing that was to, in later days, be practised. For this study to come to a head, we had to design a plan wherein we could collate all of the aspects we could, related to our inventor. From there springs the reason for each of the chapters that we have put together. The said plan responding to the actual visión of different facets that are studied today in different sciences, that were not known in Carranza's lifetime. To collect information on his person and his works we bore in mind the different places in which we could lócate the necessary documentation, above all in libraries and archives. Developing the work-method that consisted in extracing from every source, every thing relative to the theme, re-writing later our interpretation of the same. This brought us closer and made us focus of those aspects that much later we would have to analize in greater detail. In the thesis one can observe two defferent parts that are related; on the one hand his life and works and on the other his theories, which are those that should be really analised and as such, necessarily analised within the confines of a specific knowledge of fencing. In that his life has been isolated and studied the most important facts that stand out above all, is that he was considered to be the inventor of swordmanship and the particular manner of interpreting the said art, different to its interpretaion uptil then. It gave a footing to what they understood as scientific fencing, giving shape and form to the creation of a doctrine and a new form of fencing which developed a line of action that was continued by numerious followers. For all that, much had to do with the facts that Carranza was a military man, the culture, the level of studies he had and the situation in which he found himself. What's more the people with whom he mixed were, in general, cultured and of high social standing. We have also seen in the same article on his life some dubious facts which in our opinión are erróneos. We have considered the most relevent to be that it wasnt Carranza who was in dispute with Quevedo as is stated in some of the works with which we have dealt but rather it was with Pacheco he had such disputes. What's more Quevedo demonstrated his partiality to the teachings of Carranza, going against Pacheco ñor was it him who invented The Florete, a famous Spanish sword, as was said on some ocassions, eventhough the florete appeared later as a weapon in the study of fencing technique. With respect to the article on his works, we must say that there was only one article which was published in 1582, even though it was finished in 1569. In the article on his life one must distinguish between the foundations on which he based his teachings in which swordmanship reached the same levéis as other libral art forms and what he did through the study of the self same mastery. Throughout the study which we have done, one can appreciate how he was developing an art which uptill then had not been studied, seeing for himself the problems he had fortold, from the organisation of materials at hand to how it should be taught, at times having to domínate comparative concepts again or clarify and modify ones which were anchored in erróneos points of a fencing match, feeling these to be the main forseeable jobs-at-hand. Differenciating between two basic concepts which must exist in whatever arte form and more concretly in the skill that is; the theory and practice , both being fundamental to the reason why the skill endured through time, together with this reason he was supported by other sciences and the beginnings of such. Carranza was of the opinión that the swordsman must acquired by way of study, the fundemental elements with which he had to work, these elements being the body of the swordsman and the weapons, because both were going to intervene in whatever movement or action that was going to be taken. The body studied, each of the parts having more importance each time the skill intervened and above all what it did based on medicne relating it to matemathics to exact the máximum advantage, one could employ in certain circumstances, that if they were not employed, the same advantages would not result. On weapons, what resulted best was, on the one hand, the sword should be the only weapon that the swordsman should use and on the other hand, the sword should be graded to show that one cannot do the same with the different parts of the same because not all of the weapon had the same properties when used. One of the recomendations he made was that the part nearest to the hand-guard should be used for defence because one could use more forcé with it than the point and he demonstrated this with mathematical principies. One can see on reading this thesis how Carranza brought forth a new work form, in which he put much importance on the application of experience that had previously been acquired and because of it, it was important to know well the strenghts and weaknesses of an adversery. The acquisition of technique should be realised through repetition to form the habit necessary for movement to flow freely each time the swordsman executed a movement. None of this would be possible if whoever was teaching did not know each one of the elements that intervened, affording the fencing master a great reverence, in that it was he who had to guide the students he was to teach. The first thing that the master had to do was to make sure he had the maximun knowledge over which he was going to teach, to that end, the master had to know almost everything about the theory and practice of the skill of fencing but what's more that such theory and practice had to be the correct one. Carranza persued his studies, establishing the principies of technique, at least, the most important ones even though they were elementary, so that later they could continué working on them and it could be seen that the technique had a shape and form of any other art form, allowing it to be studied like any other form, as such it had a good following, even young people could be instructed in the correct use of weapons, however the real end could be found in the conservaron of life as ordered by the Catholic Church, feeling that skill with the sword was one of the most effective methods for assuring it. We have dedicated an article to technique and tactics wherein is reflected everything related to positions and movement that the swordsman must do to achieve his objective, that is, wound without being wounded. We have analised the different tricks and the reasons from every point of view of movement and action. If what is done by technique is related with the adversery we enter in the territory of tactics wherein we have studied, most importantly, the concepts of time and distance just as, the energy the swordsman muse conserve to bring to a head a bout and arrive victorious without being exhausted. We conclude by saying that everything that has been realised by this study, has shown that it was Carranza who gave to the skill, the first basic techniques, tactics and methodology, by his conception of this new art form, just as the manner in which he established his theories, made possible the tecnhiques practiced in Spain would enjoy an intemal coherent structure, which would endure throughout the years.

Learning and Assessing Competencies: New challenges for Mathematics in Engineering Degrees in Spain.

The introduction of new degrees adapted to the European Area of Higher Education (EAHE) has involved a radically different approach to the curriculum. The new programs are structured around competencies that should be acquired. Considering the competencies, teachers must define and develop learning objectives, design teaching methods and establish appropriate evaluation systems. While most Spanish universities have incorporated methodological innovations and evaluation systems different from traditional exams, there is enough confusion about how to teach and assess competencies and learning outcomes, as traditionally the teaching and assessment have focused on knowledge. In this paper we analyze the state-of-the-art in the mathematical courses of the new engineering degrees in some Spanish universities.