
Lidón, A.; Ginestar, D.; Gómez de Barreda, D.
[EN] Simulation models for the transport of water and nitrogen in the soil are useful tools for evaluating the consequences of di erent crop management practices without waiting until the end of the crop cycle. Particularly, simplecompartmental models for the transport of water and nitrogen are based on the solution of mass balance equationsfor the water and a system of ordinary di erential equations for the nitrogen cycle. In this work, these modelsare used to evaluate di erent possible scenarios of irrigation and nitrogen fertilization in a cauli
ower crop, as apractical work for the students of Horticulture course. The results...

Estruch, Vicente D.; Boigues, Francisco J.; Vidal, Anna
[EN] The concept of random variable is a mathematical construct that presents some theoretical complexity. However,learning this concept can be facilitated if it is presented as the end of a sequential process of modeling of a realevent. More speci cally, to learn the concept of discrete random variable, the Monte Carlo simulation can providean extremely useful tool because in the process of modeling / simulation one can approach the theoretical conceptof random variable, while the random variable is observed \in action". This paper presents a Research and StudyCourse (RSC) based on series of activities related to random variables such as...

BanyulsJuan, Xavier; AtiénzarNavarro, Roberto; Picó, R.
[EN] Teaching in the Master of Acoustic Engineering includes contents that require the modeling of acousticsystems of two types: simple systems through analytical theory and complex models using simulationtechniques. In the present work, we describe an example of complex acoustic sources modeling using the nite element method: subwoofer sound radiation in di erent con gurations. Numerical simulations inthe frequency domain can calculate the radiation pattern of systems that do not have a simple analyticalsolution

GiménezPalomares, Fernando; JiménezMocholí, AntonioJosé; LapueblaFerri, Andrés; MonsoriuSerra, JuanAntonio
[EN] The loads applied on a linear structural element generate internal forces in the cross sections which, inturn, result in stresses along the element. The nature, extent and shape of stress distributions are required parameters to compute the strength of structural elements or machinery components in order to itsanalysis or design. In this work, it is presented a virtual laboratory which allows to obtain di erent stressdistributions in an isostatic beam, prismatic or cylindrical, subjected to axial forces, shear forces andbending moments. The virtual laboratory permits a great interactivity, allowing the simulation of variousreal situations in which the user can...

Viteri, Ángel; Blanco, Mónica; Carbó, Rosa; Ginovart, Marta
[EN] When the yeast is grown in a nutrientrich liquid medium, its growth curve consists of three main phases: adaptation (or lag) phase, exponential (or log) phase and stationary phase. Buchanan's model is a piecewise linearmodel which, although being a rather simple model, turns out to be good enough to estimate the main kineticparameters of microbial growth. The morphometry of yeast cells, which can reproduce by budding (with mothercells and daughter cells), provides information about the state of yeast populations and their productive capacity.Experimental results in connection with the number of cells of S. cerevisiae growing in closed liquid culture...

HerreroDurá, I.; Picó, R.; SánchezMorcillo, V.J.; GarciaRaffi, L.M.
[EN] Propagation of mechanical waves in unidimensional systems is a fundamental part of physics, necessaryfor learning subjects such as acoustics and vibrations. The vibration of transverse waves in strings isthe easiest case of elastic system. Usually, this is the rst continuous elastic system in which studentsapply fundamental mathematical concepts as vibration mode, equation of motion and boundary condition.In this work the use of simulation methods is proposed to reinforce the understanding of vibratory andacoustic simple phenomena. This will be applied to the case of a string, a beam and a membrane of nitelength with di erent physical characteristics and boundary...

Albarracín, Lluís
[EN] Fermi problems have been widely used in Physics teaching at university level in the UnitedStates. Multiple recommendations for use in other educational areas can be found in theliterature, as the case of mathematical modeling introduction, but its presence in mathclassrooms has not been yet achieved. We present these problems and discuss about itsde nition and characteristics that make them particularly interesting for the use of mathematics in real contexts. We also review those aspects that have been investigated fromthe perspective of mathematics education, especially the way in which students generatemathematical models to solve them and we aim some directions...

RoldánBlay, Carlos; PérezSánchez, Modesto
[EN] Threephase electrical power lines are di cult to model elements due to a number of phenomena that in othervoltage levels may be negligible. To calculate basic parameters (resistance, inductance and capacitance) whichresult in simple validated models (either of concentrated or distributed parameters) to simulate the operationof lines, some expressions have been developed with a complexity that hinders their assimilation. To facilitatethe alignment between teaching and learning, a set of virtual laboratories using Matlabchas been developed tofacilitate the understanding of the operation of high voltage lines. In this paper, one of these laboratories thatallows the representation of the geometry of...

Alguacil Marí, M.; Jiménez Fernández, E.
[EN] The current economic environment, together with the low scores obtained by our students in recent years,makes it necessary to incorporate new teaching methods. In this sense, econometric modelling providesa unique opportunity o ering to the student with the basic tools to address the study of Econometricsin a deeper and novel way. In this article, this teaching method is described, presenting also an examplebased on a recent study carried out by two students of the Degree of Economics. Likewise, the successof this method is evaluated quantitatively in terms of academic performance. The results con rm ourinitial idea that the greater...

Orquín Serrano, Ismael; Aguado Sahagún, Henar; Berenguer Sánchez, Gregorio; Petrovic Filipovic, Vojislav
[EN] An academic experience consisting of mounting and using a 3d printer in the secondary school class ofTechnology is described. Also the methodology developed by teachers responsible of the project for taskscoordination as well as the way students interacted along their work, are explained. Di erent groups ofstudents were formed in order to work in three di erent tasks: research task, documents development andassembly task. Each di erent task had its own teacher for guiding, assisting and assessing the student'swork. This kind of innovative experiences are shown not only to motivate students but also to encouragethem to face STEM (Science,...

VidalFerràndiz, A.; Carlos, Sofia; Verdú, G.
[EN] n the Energy Engineering Degree of the Universitat Polit ecnica de Val encia, the students attend to theNuclear Technology course, in which the basic knowledge of this technology is presented. A main objectiveof this technology is to obtain neutron population distribution inside a reactor core, in order to maintainthe ssion reaction chain. As this activity cannot be experimentally developed, mathematical modelling isof great importance to achieve such objective. One of the computer laboratories proposed consists in theneutron
ux determination analytically and numerically in a cylindrical geometry. The analytical solutionmakes use of the Bessel functions and is a good example...

DevesaRey, Rosa; Rodríguez Rodríguez, Francisco Javier; Urréjola Madriñan, Santiago
[EN] The application of mathematical concepts and the generation of mathematical solutions to engineeringproblems are essential to the educational problems of all undergraduate engineering students. As engineering is a practising profession, multidisciplinary approaches to lab experiment courses can lead to a betterexperience for students. This paper describes the application of Surface Response Methodologies (RSM)to a Chemical Engineering course. In particular, the paper considers the application of an experimentaldesign employing scienti c software likeStatgraphicsto mimic the management of polluted e uentsfrom industries, so students will relate \real world" into an otherwise theoretical education. The mainlaboratory skills developed under the framework of...

CastroPalacio, Juan Carlos; VelázquezAbad, Luisberis; Perea, Milton H.; NavarroPardo, Esperanza; AcostaIglesias, Dagoberto; FernándezdeCórdobaCastellá, Pedro
[EN] The development of modeling skills is a very important issue in Science teaching nowadays. The present workillustrates how, from the simplest equations of hydrodynamics, it is possible to contribute to this end. Bernoulliand continuity equations are included in Physics syllabi of secondary and university levels, and can be seen as alinking between general and professional education. By means of the proposed project, students are taken throughgeneral stages which are usually present in any engineering project or research work based on modeling and simulation. such as the formulation of the problem, the statement of the Physics model, a computational simulationand...

BalaguerBeser, A.; RodríguezBenlloch, F. J.; NácherRodríguez, B.; VallésMorán, F. J.
[EN] In this paper, a comparison between the results obtained in laboratory experiments and those calculated by anumerical simulation of shallow water equations in an open channel is performed, considering the energy lossesthat occur as it passes through a local narrowing of the cross section. The mathematical model that simulatesthis physical phenomenon is governed by a partial di erential equations system whose solution provides the waterdepth and the
ow rate per unit of width, which is related to the velocity of the water. Such movement is controlledprimarily by the force of gravity, being fundamental the relationship between it and the...

Roqueta Buj, Mª Luisa
[EN] The use of new technologies such as Augmented Reality in teaching Chemistry can handle virtual information and associate it with elements of reallife. To access it is done through a technological device with a speci c software. This technological tool called Augmented Reality allows adding digitalcontent to our real world by increasing our perception of it. It allows us toincorporate content in text, image, audio or video.

Gallart Palau, Cèsar; Ferrando Palomares, Irene; GarcíaRaffi, L. M.
[EN] n this paper we present a comparative analysis of the resolution process of three modeling tasks performed by secondary education students (1314 years), designed from three di erent points of view: TheModellingeliciting Activities, the LEMA project, and the Realistic Mathematical Problems. The purposeof this analysis is to obtain a methodological characterization of them in order to provide to secondaryeducation teachers a proper selection and sequencing of tasks for their implementation in the classroom.