Licenciatura en Educación Básica con Énfasis en Matemáticas
URI permanente para esta colecciónhttp://hdl.handle.net/11349/43
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Ítem Roles, interacciones y organizaciones en el aula. Un estudio de caso desde la perspectiva del EOS en torno a la noción de función lineal(Universidad Distrital Francisco José de Caldas) Guataquirá López, Rossmajer; Lurduy, OrlandoEn el presente documento se da a conocer el desarrollo que ha tenido la propuesta de investigación de modalidad tipo I, denominada Roles, organizaciones e interacciones en el aula. Un estudio de caso desde la perspectiva del EOS en torno a la noción de función lineal realizada por la estudiante Rossmajer Guataquira López y dirigida por el profesor, Orlando Lurduy. La propuesta de investigación se llevó a cabo en seis fases: Identificación del problema, Identificación de los participantes, Formulación de las hipótesis, Recolección de datos, Sistematización y organización de la información y Análisis de datos y conclusiones. Ahora bien, este estudio está constituido por cuatro capítulos: En el primero de ellos, el lector encontrará toda la información relacionada con el proceso de investigación que se ha llevado a cabo: los antecedentes que se han tenido en cuenta para la investigación, la justificación de la ejecución de este proyecto, la descripción del problema detectado, la pregunta de investigación que orienta las acciones investigativas, los objetivos a alcanzar y el plan de acción implementado. En el segundo capítulo, se exponen los referentes teóricos y metodológicos que enmarcan la investigación y que giran en torno a los planteamientos de Lurduy (2005, 2007, 2009), Godino y otros (2000, 2006, 2007, 2008, 2009), Peirce (c 1893-1903) y Suspe y Vega (2006), y que son complementados con el tipo y enfoque de investigación, la contextualización de este estudio con relación al tetraedro didáctico, la exposición del significado y los elementos de significado de la función lineal y la metodología de investigación que se ha implementado, dando a conocer los instrumentos de investigación que se emplearon, la población objeto de estudio y el diseño metodológico que se siguió. Seguidamente, en el tercer capítulo, se expone el proceso de recolección, organización y sistematización de la información, mostrando el proceso seguido y los resultados obtenidos en la realización de los pilotajes de los instrumentos y en la validación y aplicación de los mismos. También se dará a conocer la red categorial empleada para la sistematización de la información y la forma cómo se realizó la triangulación de la información. Y finalmente, en el cuarto capítulo, se presentan los resultados alcanzados mediante este estudio, emitiendo algunas de las conclusiones y reflexiones más importantes a las que se ha llegado a partir del proceso investigativo seguido.Ítem ¿Qué matemáticas escolares para estudiantes/pacientes en condición de salud mental? Una caracterización desde los procesos de pensamiento en matemáticas escolaresPrada Murcia, Marly Yohana; Albadan, Juan PabloThis research work has been dedicated to, as stated by the objective, `characterize elements and components that configure care and intervention appropriate educational (accompaniment in learning) with differential population, in enclave with a mental health condition, regarding processes in/of school mathematics´. In this journey, the task of identifying attributes of the scenarios in which school mathematical processes and conditions associated with mental health and its consequences coexist various expressions, including the psychiatric variable. As it is, the case to recognize processes and conditions that characterize this population in school environments; analyze curricular components in relation to mathematics from the perspective of processes Y; relate elements of school mathematics and forms of attention and intervention education based on cognitive and emotional processes characteristic of the population.Ítem Intervalos musicales y la fracción, una experiencia en el aula con el monocrodioGarcía Montañez, César Augusto; Vargas Hernandez, Luis Fernando; Carranza Vargas, EdwinThis paper gives an account of the relationship between mathematics and music through the monocord: which is a musical instrument with a single string of Greek origin, (mono) single and (cordi) rope, is attributed to the invention of instrument to the philosopher Pythagoras which uses it in ancient Greece to establish a musical scheme which we know today as “the music scheme western". A teaching hypothesis of the fraction is proposed where the main context is music, from this, a sequence of activities is designed that would allow to work mathematical concepts such as the fraction as the reason and the fraction as the reason for the reason (proportion). Monocord on the other hand would allow to establish relations between the part and the whole, which is the main concept to work in the fractions, making use of Sounds we know today as musical notes. these relationships allow deduce that interdisciplinarity is a fundamental teaching tool because of its relationship between concepts and reality, in addition to establishing relationships between standards proposed by the ministry of education for fourth grade of primary between these two disciplines; also that there are reasons and proportions in music and that mathematical concepts endowed with real contexts and worked under the scheme of theory of teaching situations has a high percentage of understanding and specific use To solve problem situations.Ítem Inclusión en el Aula de Matemáticas Colegio OEAAcero Solano, Aura Viviana; Acosta Perilla, Claudia Patricia; Gil Chaves, DianaWe make our practicum about the special educational needs at OEA school . The aim in this proyect was identify the needs in people with some visual problems in the mathematics classroom for a teaching support implementing didactic material and supporting students blind and seer in the learning process in mathematics topics: the fractions representations, geometric representation of polynomials and solid representation in the line and transcript of the letter in ink braille function overcoming some difficulties presented by students in this area.Ítem Los recursos didácticos para la transición entre lo tridimensional a lo bidimensional y su gestión en escenarios presenciales y no presencialesMelo Barreto, Angie Natalia; Quevedo Contreras, Didier Giancarlo; Castro Cortés, Claudia CeciliaThe present investigation arises from the need to implement new methodologies in the teaching of mathematics in non-face-to-face settings, however, since face-to-face teaching is now established again, we decided to search, process and store data, in relation to the teaching of geometry and its management, which allowed establishing characteristics regarding the didactic resources that can be built or selected for teaching the transition between the three-dimensional and the two-dimensional in face-to-face and non-face-to-face scenarios. From a qualitative research with a documentary approach, it was found that in order to implement didactic resources that contribute to the transition from the three-dimensional to the two-dimensional, it is necessary to develop visual and verbal skills, as well as geometric and spatial knowledge. As a result of the process, a booklet for teachers was designed that contains: instructions, rules, videos, illustrative images, a link to its corresponding digital resource and also some suggestions so that the teacher can incorporate it into classes with proper management. This study allows the teacher to know and establish important characteristics that allow incorporating teaching resources in the geometry class in an active and dynamic way.Ítem Reconstrucción histórica del papel de la mujer en la Universidad Distrital en los últimos 20 añosGuerrero Gallego, Julieth Andrea; Rocha Salamanca, PedroProject that sought to identify the role of women in the Distrital Francisco José de Caldas in the past 20 years, by means of a characterization and identification of the profile of each of its researchers taking into account the areas of training, leadership positions, research and government in each of its powers, the analysis that is derived in this study may give notice of the existence of social conflicts giving rise to taking measures in search of a gender equity.Ítem Enseñanza de la noción de la función para estudiantes con discapacidad auditiva implementando la teoría de registros de representaciones semióticasPérez Parrado, Daniela; Castro Cortés, Claudia CeciliaThe concept of function as a mathematical object has been analyzed from didactics and the strategies to be implemented in the teaching and learning process and in recent years, it has been the object of study for the case of diverse populations, in particular, to respond to the needs of hearing-impaired students. With this research, the difficulties that the population presents during the learning of this concept are identified, finding the little knowledge that is had about disability, which leads to the non-flexibility of the curriculum, serious problems with communication and the language used with the student. These segregating factors, the lack of forms of representation used for teaching the object and the lack of knowledge of previous concepts, configure a series of indicators that must be answered. This work reveals the results of the implementation of a sequence of activities focused on the learning of previous notions for teaching the concept of function in deaf students, through the theory of registers of semiotic representations and the analysis of certain factors. about how communication and language influence acquired knowledge. Among the main results found, the presentation of various semiotic representations, together with the deepening of previous concepts, are fundamental in the understanding of the mathematical object, in addition to the important elements for good communication and use of language in the classroom, are related to the knowledge of the needs of the disability; the display of sign language; emphasis on written and gestural language and; care with the use of technical words in the classroom that the student does not know.Ítem Formación ciudadana crítica: una aproximación desde el desarrollo de competencias estadísticas y la resolución de problemas -RP-Ayala García, Brandon Eduardo; Carranza Vargas, Edwin AlfredoIn the present work, the need and relevance of assuming mathematics from a social field is formulated; a proposal designed and managed is described, with which it was intended to promote the critical citizenship formation of eleventh grade students, from the resolution of problems as a methodology, as well as the learning and application of statistical concepts; Finally, an analysis of said management process and a final reflection on it is made, starting from a retrospective.Ítem Cambios que Presentan Tres Profesoras de Matemáticas en la Característica Problematización durante el Desarrollo de una Propuesta de Formación en y Hacia la InvestigaciónQuintana Castro, Yadid Katherine; Sánchez Robayo, Brigitte JohannaAs a fundamental part of the research, the problem statement is a main characteristic of the teacher – researcher, which allows him / her not just to formulate research problems, but to find and aswer constantly questions related to his/her labor as well. In the present work it will be shown the main changes of this characteristic, identified in three math teachers from Bogota who are part of the teachers group whom a training proposal in research designed by the research group CRISÁLIDA was applied to. The information was collected along the training process of the teachers by means of observations and interviews, whose thorough analysis yielded as main result that collaborative work is essential for the focussing on research interests and the problem statement.Ítem Enseñanza de las matemáticas para población en condición de discapacidad visual en educación básica y mediaVega Delgado, Diego Alejandro; Navia Díaz, Alex Roviro; Castro Cortés, Claudia CeciliaIn this internship report, the different support processes offered to elementary and middle school students in the visual disability condition of the OEA IED College are exposed with respect to the learning of mathematics through the accompaniment and adaptation of didactic resources, to facilitate the understanding and construction of some concepts.Ítem Pertinencia de medir la educación en matemática en Colombia a partir de las Pruebas PisaMuñoz Tegua, María Alejandra; Ramírez Cortes, Brayan Steven; Bello Chávez, Jhon HelverFocusing on the impact generated in the country by the results of PISA, the reasonable question arises if Colombia is in theorical accordance with this test. To give a partial answer to this question, we propose to introduce a content analysis in which the ideas and structure of the framework of the PISA test of the OCDE in 2012 for the area of mathematics and proposed by the "Ministerio de Educación Nacional" are compared to organize national curriculum in mathematics, from which epistemological differences that lead to infer some aspects that open the door to questions about the participation of Colombia in the program are established.Ítem Propuesta de enseñanza de las secciones cónicas usando diversas tecnologías para su desarrolloAragón Lugo, Jhonatan Alexander; Quintero Pérez, Carlos Alberto; Carranza Vargas, Edwin AlfredoIn the following monograph there is a proposal designed for teaching and learning in relation to the Conic Sections through activities that are will develop from different technologies, (play dough, bending geometry and software of dynamic geometry), this with the aim of generating a teaching-learning process around the theme that is thought to be implemented in the classroom, that is, emphasizing the three conic sections and in their learning process where they allow students to ninth grade of the school Alfonzo Reyes Hechandia, implement the different artifacts put into play and experience in such a way that in the end, in its development it has been internalized the concept of the conics worked.Ítem Experimentando el pensamiento métrico - espacial a través de minecraftRosero Bastidas, María Isabel; Rodríguez Lancheros, Erika Juliet; Carranza Vargas, Edwin AlfredoThis paper presents a didactic proposal that aims to enhance metric-spatial thinking in eighth grade students using area distribution from the implementation of the game, in this case Minecraft, as a didactic resource that enables the development of meaningful learning in eighth grade students of the Liceo Creativo Libertad school. This proposal proposes seven activities focused on the understanding of concepts such as: area, perimeter, units of measurement and distribution of areas, highlighting the importance of enhancing metric and spatial thinking for the construction of skills around the mental representations that the subjects make of the different geometric objects, their relationships and all the implications, in addition to the understanding of the notion of magnitude, measurement, quantity and the appropriation of these notions in situations of the everyday environment.Ítem Adaptación de una ingeniería didáctica para la enseñanza de la traslaciónHernández Ravelo, Duván; Pastrana Tapiero, Jeisson Camilo; Acosta Gempeler, Martín EduardoThe following document aims to adapt didactic engineering “Conceptualización de la traslación con la mediación del programa Cabri ELEM”, It has suggested for the teaching of translation using the Cabri ELEM software, that is licensed. Our purpose is to adapt it to the free software DGPad-Colombia, taking advantage of the potential of this software to create an adidactic situation, such as proposing problems and programming feedback to the actions that the student does in the means (software). To do this, we will show the adaptation of the design and the programming made for the different tasks, modifying the pertinent feedbacks and adding some activities.Ítem La música en la construcción de conceptos en las matemáticas escolares: una observación de casos en contextos de vulnerabilidadIbargüen Cuaichar, Diego Alejandro; Castro Cortés, Claudia CeciliaThe internship that took place was developed within the framework of an agreement established between the Bachelor in basic education with emphasis in mathematics (LEBEM) and the Artistic and Social Foundation La Familia Ayara (hereinafter Fundación Ayara).Ítem Ambientes lúdicos para el desarrollo del pensamiento numérico de los niños y niñas que asisten a la Fundación Apoyemos(Universidad Distrital Francisco José de Caldas) Aponte Estupiñán, Andrea; Celeita Gómez, José Raúl; Guerrero Recalde, Néstor FernandoA lo largo del presente trabajo de grado propuesto y titulado: Ambientes lúdicos para el desarrollo del pensamiento numérico de los niños y niñas que asisten a la Fundación Apoyemos con el fin de percibir y fortalecer actitudes hacia la convivencia de niños y niñas en situación de vulnerabilidad se implementa un juego de rol. Teniendo en cuenta la definición de juego de rol Collyns, A. et al. (2008) determina que éste consiste en adoptar un rol diferente al que asumen las personas en su vida cotidiana, en éste ellos serán lo que quieran y no lo que la vida les asignó. Ahora bien, la condición de vulnerabilidad (Acción Social, 2009) en Mochuelo Bajo, Barrio Barranquito conforma un universo de problemáticas particulares que requieren mecanismos de superación. Nosotros colaboramos con la prestación de un servicio de refuerzos escolares en los que los asistentes a la fundación llevan sus trabajos o tareas y allí se les presta la ayuda necesaria para garantizar la solución y el entendimiento de éstas. Uno de los propósitos de realizar esta pasantía es llevar un proceso con los niños y niñas que asisten regularmente a la fundación Apoyemos, fortaleciendo lasos sociales y habilidades cognitivas desde la implementación del juego de rol, ya que estos niños en su gran mayoría carecen de la presencia de sus padres y requieren de atención especial que los oriente tanto en lo escolar como en lo personal. Teniendo en cuenta lo anterior, nosotros como futuros profesores de matemáticas necesitamos conocer todos los posibles campos de acción a los que nos enfrentaremos en nuestro desempeño como profesionales, uno de los posibles entornos en los que probablemente trabajaremos son lugares en donde predomina la carencia de recursos, por lo que la subsistencia y el desarrollo social, cultural y cognitivo de los niños y las niñas es muy limitado.Ítem Diseño de Actividades con el Software de Geometría Dinámica CaRMetal, para la Enseñanza de la Relación de la Gráfica y la Ecuación de la Recta.Pinzón Amaya, Katherin Esmeralda; Cárdenas Sánchez, Yuri Paola; Acosta Gempeler, Martín EduardoThis degree work consists of the design of activities in the software, free, of dynamic geometry CaRMetal, for the construction of the relations among the equation of a straight line and his graph of the Cartesian plane. We base on the Theory of Didactic Situations of Brousseau (1996), deem the software as a way with which the students interact to reach a learning by adaptation. It points out too how we use the theory of Duval (1998) to analyze the mathematical problem to which we refer: as a problem of conversion of records semiotics representation. Added, we take advantage of the possibilities of programming of the software CaRMetal to automate didactic actions as the evaluation of the work of the student and the management of a sequence of tasks.Ítem El juego como recurso didáctico para la enseñanza de la probabilidad en estudiantes de primariaYebara Gutiérrez, Junior Raid; Patarroyo Villalba, Germán Alexander; Carranza Vargas, Edwin AlfredoThe purpose of the following degree work is to present some results about the possibility of teaching probability in primary school using the game as a didactic resource; The hypothesis that it is possible to teach probability in primary school is reinforced through this workÍtem Análisis de la pertinencia de la pasantía de estudiantes para profesor de matemáticas en el Colegio OEA IEDBeltrán Pava, Javier Stiwar; Pachón Parada, Jhon Fredy; Castro Cortés, Claudia CeciliaThe Educational Institution OEA, has thought about the strengthening of the inclusive education and in the formation in this line of the Students for Professor of Mathematics (EPM)., doing this work from the year 2011 through the modality of work of degree called Internship. In the present work it is decided to carry out an analysis in order to determine its relevance in relation to the learning processes of said population during the intervention of the interns.Ítem Juegos de rol para el desarrollo del lenguaje y el pensamiento lógico matemático en estudiantes de grado noveno del programa volver a la escuela de la IED Restrepo Millán Sede DAldana Beltrán, Angie Katherine; Cubides Gaitán, Lizeth Adriana; Guerrero Recalde, Nestor FernandoThis work describes issues related to the development of logical mathematical thinking (PLM) in ninth grade students of the "Back to School" program of the IED Restrepo Millán, branch D. This proposal arises from the difficulties detected in the training processes of students in vulnerable conditions, regarding impediments to be in the regular classroom due to extra-age, and the social and cultural environment that surrounds them. The report is structured by phases that account for the development of the work plan, each one of them with specific objectives, activities and results obtained with its implementation. In the preparation phase, the work plan of the internship to be developed is elaborated, together with the exploration phase in which the characterization of the population is carried out, highlighting the incidence of the health crisis as a result of COVID 19. The socioemotional problems are recognized and considered and at the same time the theoretical construction phase is developed in which the importance and purpose of the role-playing game in the classroom and how it contributes to the development of PLM is based. Finally, in the phase of transformation of the school experience, the experience and results obtained during the implementation of the playful environment generated with the role-playing game are analyzed and concluded and how it accounts for the objectives set out in the first phase.