Papers | Mathematics Education by Pascual D. Diago
Education Sciences
Educational robotics are commonly present in kindergarten and primary school classrooms, particul... more Educational robotics are commonly present in kindergarten and primary school classrooms, particularly Bee-bot. Its ease of use allows the introduction of computer programming to young children in educational contexts from a science, technology, engineering, arts, and mathematics (STEAM) perspective. Despite this rise, there are still few investigations that collect evidence on the effectiveness of robotic interventions. Although mentoring experiences with robotics had been carried out in educational contexts, this work explores their effect on the acquisition of computational thinking skills through mentoring. Participants from the second grade, aged seven through eight years, were exposed to two sessions of robotics with Bee-bot in order to promote hands-on experimentation. The sessions were conducted by nine students of the fourth grade (the mentors), aged 10 to 11 years. A descriptive case-study methodology was employed for the analysis of the mentoring intervention. The effect of the mentoring experience was assessed in terms of motivation and computational thinking skills. Mixed quantitative and qualitative results show two important findings: (i) Mentoring is a powerful tool to be considered for improvement of the motivation and cooperation of students in their teaching-learning process, and (ii) computational thinking skills can be acquired by second-grade students through a mentoring process.
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Education Sciences
Nowadays, Augmented Reality (AR) is one of the emerging technologies with a greater impact in the... more Nowadays, Augmented Reality (AR) is one of the emerging technologies with a greater impact in the Education field. Research has proved that AR-based activities improve the teaching and learning processes. Also, the use of this type of technology in classroom facilitates the understanding of contents from different areas as Arts, Mathematics or Science. In this work we propose an AR-based instruction in order to explore the benefits in a 6th-grade Primary course related to 3D-geometry shapes. This first experiment, designed from an exploratory approach, will shed light on new study variables to perform new implementations whose conclusions become more consistent. The results obtained allow us to envisage that AR-based proposals slightly improve the classical didactic methods.
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The environments related to robotics and the visual block-based programming languages allow to po... more The environments related to robotics and the visual block-based programming languages allow to pose tasks that can be understood as problems with mathematical content suitable for early school ages. These environments allow proposing problematic situations in ages in which formalism or poor mathematical knowledge prevents students from tackling more complex mathematical problems. In this work we show how the Bee-bot programmable robot is a privileged device to observe how students make decisions during the resolution process.
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espanolPresentamos una descripcion de los accesos al numero natural en educacion infantil y de co... more espanolPresentamos una descripcion de los accesos al numero natural en educacion infantil y de como secuencia cada uno los distintos usos del numero. Disenamos una he-rramienta que permite analizar los accesos al numero propuestos en libros de texto. Pre-sentamos el analisis de dos textos de la etapa en la que los libros seguian las directrices curriculares correspondientes a diferentes epocas. El objetivo del trabajo es ofrecer a los maestros de infantil una propuesta de como evaluar la adecuacion de los libros de texto a las disposiciones curriculares relativas a la ensenanza del numero en el segundo ciclo de Educacion Infantil EnglishWe present a description of the accesses to the natural number in Early Child-hood Education and how each one sequences the different uses of the number. We de-sign a tool to analyze the accesses to the number proposed in textbooks. In this paper we present the analysis of two texts from the period in which books followed the curricular guidelines co...
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En este trabajo presentamos el dise~ no de dos propuestas para introducir la modelizaci on de fen... more En este trabajo presentamos el dise~ no de dos propuestas para introducir la modelizaci on de fen omenos f sicos a trav
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Revista de Educación de la Universidad de Granada, 2018
Una de las finalidades de la enseñanza de las matemáticas en Educación Infantil es fomentar el pe... more Una de las finalidades de la enseñanza de las matemáticas en Educación Infantil es fomentar el pensamiento lógico, la creatividad y la capacidad para resolver problemas de los estudiantes. Entre las actividades escolares propias de estas edades es habitual encontrar tareas de identificación y continuación de patrones lineales de repetición. Esta actividad puede ser estudiada desde un contexto de resolución de problemas en el que el estudiante debe discriminar la información superflua de aquella que le permite obtener la regla de generación de la serie y resolver la tarea. Diferentes variables como la longitud del núcleo de repetición, el número de descriptores, su naturaleza o la aparición de distractores permiten establecer diferentes grados de complejidad en la tarea. Nuestro objetivo es explorar qué factores relacionados con la complejidad del patrón influyen en la dificultad experimentada por estudiantes de cinco años de Educación Infantil al abordar este tipo de problemas. Los ...
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Aprendizaje, Innovación y Cooperación como impulsores del cambio metodológico, 2019
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Education Sciences, 2019
Nowadays, Augmented Reality (AR) is one of the emerging technologies with a greater impact in the... more Nowadays, Augmented Reality (AR) is one of the emerging technologies with a greater impact in the Education field. Research has proved that AR-based activities improve the teaching and learning processes. Also, the use of this type of technology in classroom facilitates the understanding of contents from different areas as Arts, Mathematics or Science. In this work we propose an AR-based instruction in order to explore the benefits in a 6th-grade Primary course related to 3D-geometry shapes. This first experiment, designed from an exploratory approach, will shed light on new study variables to perform new implementations whose conclusions become more consistent. The results obtained allow us to envisage that AR-based proposals slightly improve the classical didactic methods.
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Education Sciences, 2020
Educational robotics are commonly present in kindergarten and primary school classrooms, particul... more Educational robotics are commonly present in kindergarten and primary school classrooms, particularly Bee-bot. Its ease of use allows the introduction of computer programming to young children in educational contexts from a science, technology, engineering, arts, and mathematics (STEAM) perspective. Despite this rise, there are still few investigations that collect evidence on the effectiveness of robotic interventions. Although mentoring experiences with robotics had been carried out in educational contexts, this work explores their effect on the acquisition of computational thinking skills through mentoring. Participants from the second grade, aged seven through eight years, were exposed to two sessions of robotics with Bee-bot in order to promote hands-on experimentation. The sessions were conducted by nine students of the fourth grade (the mentors), aged 10 to 11 years. A descriptive case-study methodology was employed for the analysis of the mentoring intervention. The effect o...
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International Journal of Child-Computer Interaction, 2021
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Para este estudio se disena un conjunto de problemas, ordenados en complejidad, consistentes en l... more Para este estudio se disena un conjunto de problemas, ordenados en complejidad, consistentes en llevar el robot Bee-bot de un punto inicial a uno final por un camino dado. Se hace uso, ademas, de un lenguaje de programacion simbolico basado en tarjetas a modo de bloques que pueden secuenciarse uno detras de otro y cuya interaccion con el usuario se realiza mediante lenguaje natural.
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En este trabajo se aborda la problematica de las tareas de identificiacion y continuacion de patr... more En este trabajo se aborda la problematica de las tareas de identificiacion y continuacion de patrones lineales de repeticion desde un contexto de resolucion de problemas en el que el estudiante debe discriminar la informacion superflua de aquella que le permite obtener la regla de generacion de la serie y resolver la tarea. En este sentido, se estudia la influencia de la presencia de informacion contradictoria o la ausencia de datos como factores que introducen complejidad en la tarea (Puchalska y Semadeni, 1987).
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Se ha constatado la dificultad de los estudiantes a la hora de resolver problemas de probabilidad... more Se ha constatado la dificultad de los estudiantes a la hora de resolver problemas de probabilidad condicionada (Canadas et al., 2011). En general, la complejidad de estos problemas es debida a varios factores: el formato y el orden en el que se presentan los datos, el contexto en el que se plantea el problema, el lenguaje utilizado para expresar los datos condicionales o las herramientas utilizadas en el proceso de resolucion. En nuestro estudio nos centraremos en el uso y la influencia de recursos heuristicos, como tablas de contingencia o diagramas de arbol, durante la resolucion de un problema de probabilidad condicionada.
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El objetivo de esta investigacion es identificar que habilidades de visualizacion ponen en juego ... more El objetivo de esta investigacion es identificar que habilidades de visualizacion ponen en juego estudiantes de edades tempranas al resolver problemas en un entorno tecnologico Bee-bot y si los estudiantes de acm manifiestan mejor uso de esas habilidades que sus companeros de capacidad media. Los problemas planteados consisten en planear recorridos del robot Bee-bot, el cual admite instrucciones de avance o retroceso de 1 paso y giros de 90o a derecha o izquierda. Los estudiantes usaban fichas con estas instrucciones para planificar la secuencia de pasos del recorrido. Despues programaban el robot con esa secuencia y finalmente observaban el recorrido hecho por el robot, lo cual les permitia evaluar si su secuencia era correcta o en que pasos fallaba. La toma de datos se realizo mediante grabacion en video de las sesiones experimentales.
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Journal for the Study of Education and Development, 2022
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Sociedad de Educación Matemática de la Región de Murcia, SEMRM, 2015
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Education Sciences
Through programming tasks, the skills and abilities used to solve mathematical problems are devel... more Through programming tasks, the skills and abilities used to solve mathematical problems are developed and improved. In this article we present a programming teaching trajectory using the solutions presented throughout the history of the “hundred fowls” problem. The proposed itinerary is graduated, meaning that it can be used for different educational stages.
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Papers | Mathematics Education by Pascual D. Diago
Aims: The main objective is to investigate the existence of B-type pulsators at low metallicities, searching for short-term periodic variability in absorption-line B and Be stars in the SMC. The analysis has been performed in a sample of 313 B and Be stars with fundamental astrophysical parameters accurately determined from high-resolution spectroscopy.
Methods: Photometric light curves of the MACHO project have been analyzed using standard Fourier techniques and linear and non-linear least squares fitting methods. The position of the pulsating stars in the HR diagram has been used to ascertain their nature and to map the instability regions in the SMC.
Results: We have detected 9 absorption-line B stars showing short-period variability, two among them being multiperiodic. One star is most likely a beta Cephei variable and the remaining 8 are SPB stars. The SPB instability strip in the SMC is shifted towards higher temperatures than the Galaxy. In the Be star sample, 32 stars are short-period variables, 20 among them multiperiodic. 4.9% of B stars and 25.3% of Be stars are pulsating stars.
Conclusions: beta Cephei and SPB stars do exist at the SMC metallicity. The fractions of SPB stars and pulsating Be stars in the SMC are lower than in the Galaxy. The fraction of pulsating Be stars in the SMC is much higher than the fraction of pulsating absorption-line B stars, as in the Galaxy.
In order to study the light variations of the selected stars we use photometric and spectroscopic observations. These observations allow us to extract frequencies, amplitudes and phases of these variations. As we will show, these light variations can be connected with pulsations on the stellar surface. For carrying out the frequency analysis we have developed a new code based on standard Fourier analysis. The point is that this code, called PASPER, allows the frequency analysis of large sets of light curves in an automatic mode.
This Ph.D. thesis is arranged as follows: In the first three Chapters we describe the scientific framework of this project, giving a brief description on Asteroseismology, presenting the current status of Be stars, and describing the basics of the Fourier analysis and the rudiments of the time series analysis.
At the early begin of this Ph.D. thesis, the CoRoT satellite was still on ground getting ready for the launch. In this context, we perform a search for short-period B and Be star variables in the low metallicity environment of the Magellanic Clouds. This study constitutes the Part I of this Ph.D. thesis. This Part has a double goal: i) to test the frequency analysis codes; and ii) to detect observationally beta Cephei and SPB-like B-type pulsators in low metallicity environments, actually not predicted by the pulsational theory and models. This constitutes the PartI.
Part II is devoted to the study of Be stars with the CoRoT space mission. Here we depict a complete review on the CoRoT mission. We also describe the results on the analysis of three Be stars from the CoRoT exoplanet field. Finally, we present the results on the frequency analysis of the late Be star HD50209, observed in the seismology field of the \corot satellite. The analysis of this Be star has revealed up to sixty frequencies, grouped in six different and separated sets, attributed to g-mode pulsations.
Finally, we resume the main conclusions of the whole project, including prospects and future work to be done. An addendum with all the published results derived from this project has been added at the end of this Part II. Part III encloses the Appendixes, providing a brief summary of this work in Spanish, a complete description on basic equations of non-radial oscillation, the user guide of the PASPER code and the user guide of the KURTZ_BOS code.