Licenciatura en Educación Básica con Énfasis en Matemáticas
URI permanente para esta colecciónhttp://hdl.handle.net/11349/43
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Ítem Propuesta de actividades en el campo de la estadística utilizando storytelling con datosMerchán León, Ana María; Rocha Salamanca, Pedro Gerardo; Rocha Salamanca, Pedro Gerardo [0009-0008-6673-9760]Data storytelling encompasses essential elements for descriptive analysis through data-based relationships. In this monograph, it focuses on its application in the context of simple random sampling, a statistical technique used to obtain representative samples from populations. The study highlights how storytelling is integrated into all stages of the sampling process to enhance its effectiveness and encourage student engagement. Despite its advantages, ethical and practical challenges in its implementation are acknowledged. In summary, this research explores the synergy between data storytelling and simple random sampling, with the aim of providing innovative tools to researchers, teachers, and students, improving the teaching and learning of statistics and data storytelling. The focus is on recognizing statistical elements and strategies to enrich education.Ítem Propuesta de inclusión en el aula a través de la enseñanza de los sistemas de numeración usados por comunidades indígenas ubicadas en BogotáGómez Mendoza, Jesús David; Ducuara Bolivar, Laura Daniela; Rodríguez Bejarano, JorgeThis work seeks to generate a proposal for inclusion in the classroom from the approach through dialogues with some indigenous communities with a presence in Bogotá, such as: Inga, Muisca, Arhuacos and Nasa. In order to recognize their forms and worldviews in the introduction of number in the universal activities proposed by Bishop and from there, categorize the information for the construction of the proposal to include the teaching of the decimal system in a regular classroom. of class; making use of other mathematical objects put into play such as: perimeter, measure and the metric system. Which complement the development of the proposal, which has spaces that make it possible to demonstrate the various ways of measuring that may arise, reflecting those different ways that are still used by the indigenous peoples interviewed, to consequently apply the activity with the system. implied decimal . In the final part of the proposal, it will be possible to see the importance that is given to the preservation of wetlands in Bogotá, from the reduction of their perimeter, since it is a feeling that the majority of investigated indigenous peoples have very appropriate regarding the care of mother earth.Ítem Mediación en el aula de clase de matemáticas con estudiantes con discapacidad visual en el Colegio José Félix RestrepoDe La Hoz Lozano, Luisa Fernanda; Vargas Ruda, Tiffany; Torres Duarte, José; Torres Duarte, José [0000-0001-9208-4843]Throughout this writing a detailed description of the experiences during the development of the internship carried out at the José Félix Restrepo School. Within this writing is present, in the first place, the characterization of the school where it is carried out the internship, after this the problem statement, the general objectives and that are intended to be developed throughout the internship, in addition to the plans for work arranged by the interns. After this, the medical diagnoses are presented and description of each of the students with whom we were working throughout this time, quality references, theoretical and methodological references are also presented arranged for the design of activities for students with disabilities visual and which were useful to generate an academic diagnosis for students transition, first, second, sixth, seventh and eighth. Take into consideration the results of this diagnosis as necessary elements for the creation of the resource didactic that will be helpful to overcome difficulties found in students with visual disability of the José Félix Restrepo School. In addition to the above, there are specific and necessary characteristics for the creation of the resource taking into account the results, analysis, reflections and conclusions of the diagnostic test and the conditions medical conditions of each one of the students that were detected within the development of the internship. Taking this into account, theoretical and methodological references are considered in the same way. where the importance and relevance of each of the events of the sessions is evidenced of class, in order to generate an activity for the application of the didactic resource for the primary and high school students in order to determine reflections, conclusions and analysis of the application of this resource, identifying the number of difficulties that were overcome, presented evidence that was useful as support for all the development of activities during the internship. Finally, reflections and possible changes are estimated for future teachers who consider using this resource in one of your activities proposed for students with visual disability.Ítem Acompañamiento a estudiantes en clases inclusivas de matemáticas: identificación de dificultades, errores y fortalezas (DEF)Galvis Robles, Yurem Daniela; Ascencio Leon, Wendy Nicole; Torres Duarte, José; Torres Duarte, José [0000-0001-9208-4843]The Jose Felix Restrepo IED school opens the doors to the Francisco José de Caldas District University so that teachers in training provide support to students who have difficulties in learning mathematics, and despite the fact that there are various conditions in the institution, in This space supports 8 students from campus C and 6 students from campus D who have mild or borderline intellectual disabilities. The foregoing, through accompaniment inside and outside the classroom where various difficulties, errors and strengths (DEF) are identified that appear in the students at the moment in which some mathematical objects are addressed, with this, we proceed to provide personalized classes where different didactic resources are applied that are designed in order to overcome, correct or strengthen the DEF found.Ítem Dibujando y animando con funciones: una propuesta de enseñanzaSilva Alfonso, Andrés Felipe; Castro Cortés, Claudia CeciliaThe tools in the classroom must be used with the objective of promoting meaningful learning. This text is the result of applying a sequence of activities in the tenth grade classroom for the study and analysis of functional and non-functional relationships using the software. GeoGebra dynamic geometry.Ítem Procesos de matematización vinculados a la influencia de la contaminación del Río Bogotá en el Río Magdalena y su relevancia en la formación de los profesores de matemáticasIbarra Jiménez, Joel; Patiño Martínez, Andrés Felipe; Forero Poveda, Alberto; 0000-0002-0452-7876; Forero Poveda, Alberto [0000-0002-0452-7876]In the present degree work, a mathematization process linked to an environmental problem is addressed, focused on the training of mathematics teachers. Where, based on the experience of two undergraduate students in mathematics, a concern is formulated about how mathematization processes can be a means or tool in linking reality with mathematics, and how the execution of said process can be be a strategy implemented by teachers so that students give use and meaning to learning mathematics. Therefore, an environmental problem is presented where the influence of the pollution of the Bogotá River on the Magdalena River is analyzed, given its confluence. Consequently, different programs are used to carry out tests on the models used, both deterministic and stochastic, in order to verify and support the initial speculation, thus promoting that the appropriate application of mathematization processes can enrich the process of learning mathematics, promoting understanding of its relevance in real contexts.Ítem ¡Qué en Piojó viva la escuela! Aplicación de actuaciones educativas de éxito como prácticas para la inclusión y cohesión social, en la educación rural de Piojó, AtlánticoRios Quevedo, Geraldine Patricia; Forero Poveda, Alberto; 0000-0002-0452-7876During the 2020 pandemic, education in rural communities in Colombia was severely affected due to a lack of internet connectivity, leaving students without access to school classrooms for around a year and a half. To address this situation, the Ministry of National Education implemented the "Viva la Escuela" program, with the aim of mobilizing university students and senior normal students in their final year to support educational processes on a voluntary basis in the most vulnerable areas of the country. The University Distrital Francisco José de Caldas joined the first implementation of the "Viva la Escuela" program, allowing students to volunteer as part of their internship. The internship assignment took place in the town of Aguas Vivas, located in the municipality of Piojó, Atlántico. The assigned educational institution was the San Antonio del Piojó IED School, which serves students from transition to fifth grade. Throughout the internship, various challenges were faced and significant experiences were experienced in the professional training of the intern, which is reflected in the development of the report. The internship sought to contribute to the reduction of educational gaps and improve the socio-emotional well-being of students in the rural community of Piojó, Atlántico.Ítem Tratamientos a expresiones de la variación en libros de texto de 9° entre 2000 y 2020Rodríguez Medranda, Francisco Esteban; Albadan Vargas, Juan Pablo; Albadan Vargas, Juan Pablo [0000-0001-5188-377X]This research addresses the lack of dynamism in the representations aimed at the development of variational thinking in ninth grade students. This article presents analyses on how textbooks between 2000 and 2020 configure expressions of variation as a teaching object. The theoretical framework focuses on variational thinking, representations and mathematical modeling, conceptualizing the former as the ability to understand concepts of change and variation. Representations (verbal, table, graph, formula) are considered key tools, while mathematical modeling integrates these concepts in practical contexts. Three categories of analysis are established: regularities, change-variation situations and modeling of change-variation processes. The categorical structure facilitates the systematic evaluation of the treatments given to expressions of variation in ninth grade books, providing a basis for improving pedagogical practices. The results are presented through analysis indicators, examining the presence and profile of representations (expository, technological, comprehensive). This structured approach provides a comprehensive view of the impact of representations on the development of variational thinking in secondary education.Ítem Qué función social cumplen las matemáticas: una aproximación a los cánones de belleza mediante el uso de las medidas de tendencia centralParamero Arias, Herson Sebastian; Camelo Bustos, Francisco Javier; 0000-0002-8627-4816; Camelo Bustos, Francisco Javier [0000-0002-8627-4816]This document presents the creation and management of a modeling environment that takes place at the Nicanor Parra School1, a public educational institution located in the town of Fontibón2. In this environment, the intentions to problematize the consequences that could arise from assuming beauty standards imposed by social networks in an adolescent population are integrated. Going deeper into this phenomenon3 arises from the work that the author of this monograph developed in the academic space of intermediate practice III—management—which aims to construct a classroom project that seeks to promote the learning of mathematics, emphasizing the role they play in everyday life. At that time, an entire project was developed around the perceptions that students have towards their bodies and towards their peers. The particularity of this topic caused great impact and intrigue among adolescents regarding the ways in which it would be possible to link mathematics with intentions as complex as those described. Based on the above and from the results obtained at the time, it was decided to deepen this line of research, starting from the construction of a modeling environment in a socio-critical perspective, which is not only concerned with the ways in which we perceive our bodies, but also reflects on the framework in which society encourages the construction of consumer bodies. This is why it is necessary to delve into the discussion of beauty canons and how they spread and influence the lives of adolescents. This characterization is built from an entire theoretical argument that describes the historical evolution of this phenomenon, in line with the main characteristics that make up a modeling environment in a socio-critical perspective as classroom practice. It should be noted that the development of the classroom environment aims to promote the learning of school statistics—measures of central tendency—, based on the construction of critical thinking based on the development of tasks within the framework of what Salazar, Mancera, Camelo and Perilla (2017) conceive as five stages for the development of mathematical modeling environments in the classroom. It is important to highlight that the research development carried out in the institution is given thanks to the intentions intended by Professor Friedrich4 —teacher of grade 10-X— within the framework of building, in the classroom, a totally new learning environment for his students. . This is because he states that he perceives that his classes fall into somewhat traditional processes and feels that the impact or interest on the students is not what was expected. To account for the above and characterizing the structure of the text, initially the necessary arguments are developed that support the need to analyze and reflect on this type of problem. Likewise, it addresses the ideas that give life to the approach of a research question that, based on certain objectives, determine the intentions to be developed. The next section presents a theoretical discussion associated with what the socio-critical visions of education and mathematical modeling mean. In the third, theoretical manifestations are addressed that allow us to assume positions regarding the construction of modeling environments in the classroom, giving importance to the historical evolution of beauty canons. For the fourth section, a work route is defined from the stages of mathematical modeling in the socio-critical perspective, these establish roles that are assumed and developed by students. To conclude, the final section describes the reconstruction of the events evidenced throughout the classroom environment, an action that is necessary to determine the final considerations and reflections that were obtained thanks to modeling as a methodological practice.Ítem Potencializando la educación inclusiva desde el aula de matemáticasCastro López, Andrés Nicolás; Torres Duarte, José; 0000-0001-9208-4843; Torres Duarte, José [0000-0001-9208-4843]The Bachelor's Degree in Mathematics and the José Félix Restrepo I.E.D. technical school. have established an agreement to carry out an internship that aims to provide support to students with visual and cognitive disabilities in the area of mathematics. This will be achieved through activities such as classroom support, extracurricular support to reinforce the topics covered, and the appropriate adaptation of resources that are essential to improve the understanding of the mathematical concepts covered. The objective of this approach is to create an environment where equal opportunities and participation of the entire student community are promoted, allowing all students to benefit from the learning process that is generated. In this context, we speak of inclusive mathematics education, which seeks to equitably address the common and specific needs of students in the area of mathematics, providing the relevant teaching spaces and resources to facilitate the teaching-learning process. To achieve this, it is essential that the teaching staff is properly trained to implement different strategies and methodologies that adapt to the individual needs of the students. In this way, inclusive education makes it possible to guarantee the support and fair adjustments required in the educational process, in accordance with human rights and, among other aspects, the recognition of the population with disabilities. In that same decree, the Ministry of National Education (MEN, 2017) has defined the concept of "reasonable adjustments" as the necessary and appropriate actions, adaptations, strategies, supports, resources or modifications within the educational system and school administration, based on the specific needs of each student, which persist despite the implementation of the universal learning design, and which are implemented after a thorough evaluation of the characteristics of the student with disabilities. Inclusive education represents a challenge today and is linked to various factors, such as curricular adaptation, efficiency in the execution of established policies, the participation of the students themselves, the community and the family, as well as the continuous training of teachers to adequately monitor the learning and teaching processes of these students. It is proposed to implement an internship extension as a modality of degree work, with the aim of providing support to children and young people with visual disabilities and also provides support to students with cognitive disabilities. This internship is based on the use of various pedagogical tools and resources adapted to meet your needs. This document presents the internship work plan, which consists of three sections: an introduction that justifies the need for the internship, highlighting its social contribution and its educational value for the education student; a description of the voluntary agreement signed between the college and the university; and a work plan for interns within the framework of the agreement of wills and approaches to inclusive education.Ítem Análisis de la comprensión de la factorización a partir de la implementación del software de geometría dinámica DgPad-Colombia.Rubio Molina, Andrés Javier; Rodríguez Guerrero, Yenifer Andrea; Guerrero Recalde, Néstor Fernando; 0000-0002-3982-4985; Guerrero Recalde, Néstor Fernando [0000-0002-3982-4985]This monograph presents the work carried out in relation to an issue identified in a classroom experience regarding the learning processes of algebra as a study of structures, specifically focusing on the comprehension of factorization among eighth-grade students. Difficulties were observed in terms of the development of algebraic competencies and a lack of understanding. As a result, the research aimed to address the objective of analyzing and interpreting the implementation of a sequence of activities that incorporated the dynamic geometry software DGpad-Colombia into the teaching of factorization, aiming to enhance overall learning processes for eighth-grade students. This approach was taken to answer the question: "How does the implementation of the dynamic geometry software DGpad-Colombia contribute to the teaching of factorization and the development of general learning processes among eighth-grade students?"Ítem La enseñanza y aprendizaje de la trigonometría a partir de prácticas matemáticas que fundamentan la relación entre trigonometría y músicaGómez Herrera, Brian Daniel; Torres Sepúlveda, Fredy Alejandro; Forero Poveda, Alberto; Forero Poveda, Alberto [0000-0002-0452-7876]The present degree work entitled "Teaching and learning of Trigonometry from mathematical practices that support the relationship between Trigonometry and Music" is presented within the framework of the teaching-learning process for sinusoidal and periodic functions, understanding that in the teaching of school mathematics, the use of trigonometry directly affects the formalization of mathematics for university cycles; as stated by Aray, Guerrero, Montenegro and Navarrete (2020), who affirm that a superficial learning of trigonometry generates a series of incidents in the learning of calculus at the university level. That is why the intention of this work is to design a teaching-learning instrument that promotes significant knowledge of sinusoidal functions as the basis for the study of formal trigonometry. In order to develop an instrument for the teaching-learning of sinusoidal and periodic functions, it is necessary to carry out an analysis of the mathematical practices that support the relationship between mathematics and music, specifically, in the study of sound as periodic phenomenon; For this, a socio-epistemological approach is proposed that will allow the identification of the actions and elements included in the mathematical practices carried out by different mathematicians throughout history, up to the Fourier trigonometric series approach, reaching a level of formalization for the trigonometry.Ítem Leyendo pensamientos matemáticos a través de la resolución de problemas en aulas hospitalariasRamos Otalora, Melany Tatian; Mancera Ortiz, GabrielThis report presents the development of the degree work in the internship modality, which was carried out at the Central Police Hospital was carried out at the Central Police Hospital in the academic period 2022-1. During the two types of meetings were carried out taking into account the pandemic situation that the country is going through, which is the country is going through, which is in a transitional moment in terms of returning to "normality". "normality", which has allowed the return to the classroom. However, the situations of students belonging to the However, the situations of the students belonging to the Hospital Classrooms program were taken into account for the design and planning of activities in which the students developed planning of activities in which elements of reading comprehension were developed in the resolution of mathematical mathematical problem solving, taking into account biosecurity norms such as the use of masks, hand washing, etc. use of masks, hand-washing and vaccination cards. and face-to-face meetings where activities associated with the work of reading comprehension in the resolution of mathematical problem solving. The development of the report shows the work carried out with different mathematical different mathematical objects, based on the interests and reasonable adjustments to the activities for all patients-students. the patients-students of the Hospital Classrooms program.Ítem Sistematización de una experiencia de práctica docente en torno a la comprensión de la representación tabular y algebraicaVásquez Dueñas, Javier Leonardo; Gil-Chaves, Diana; Gil-Chaves, Diana [0000-0003-3872-1105]The teaching of mathematics can be developed by using and analyzing some means of information present in the daily life of citizens as is the case of utility bills, so this monograph aims to present a systematization of an educational experience of teaching practice when addressing functional linear equations for the understanding of the tabular and algebraic representation with ninth grade students. In order to provide meaning to the functional linear equations, it was considered as a didactic strategy to make use of the water bill and the consumption rates in the different socioeconomic strata proposed by EAAB for the year 2019. With the shared educational experience, it is expected to serve as a means of reflection and transformation in the educational practices of teachers in order to improve the quality of education.Ítem Análisis del cambio de noción de construcción y exactitud en la solución del problema de la trisección propuesto por René DescartesPeña Castillo, Alfonso; Bello Chavez, Jhon HelverThe following document gives an account of the process carried out by the author in the development of the research project. Analyzing the concept of construction and accuracy; in mathematics, Greek, making a review of some issues raised in the proposal by Euclid elements work as well as reviewing these two concepts in the early modern age in the geometry text written by Descartes. This document makes an approach to the problem the trisection of the angle and the change of conception that notion of construction and accuracy was analysed.Ítem Hiloramas, una matemática tejida a manoHerrera Amado, Juan Camilo; Mora León, Sonia Valentina; Carranza Vargas, Edwin Alfredo; 0000-0003-0777-6146This document shows a series of ideas about the mathematization of the Art of Strings, within the framework of the degree work of the subject under the modality of a monograph. The scope or mathematical potential of String Art will be studied, seeking to observe how they can be used to represent mathematical objects, exploring the characteristics they have at the time of their construction, to identify or relate mathematical concepts. In the development, visions of String Art will be considered and how they facilitate the visualization and representation of mathematical concepts, with special emphasis on the technique of making strings, the recognition of mathematical concepts through observation, and the systematization or mathematization. of processes. that allow you to represent mathematics. For this, the main reference that is available and on which the development of this monograph is structured, is the third chapter of the doctoral thesis: Situated mathematical interpretation of a craft practice, by Miquel Alberti, developed in 2007. This thesis doctoral performs an identification of mathematical concepts on a craft-type object. Likewise, various works, theses, papers and magazine articles in which String Art intervenes are considered, both in educational contexts and in contexts of scientific dissemination. This is due to the fact that String Art is an already known object, on which an attempt has always been made to relate concepts of mathematics and the didactics of mathematics. The different figures in which String Art is shown, built by computer or by other techniques, are images of my own elaboration, manufactured exclusively for the development of this work. In the case of those built by computer with software, you will find the links to access, interact and download the String Art.Ítem Diseño e implementación de módulos de derechos humanos a partir de los juegos de rol para el desarrollo del pensamiento lógico matemático en la escuela de VistahermosaAngulo Parrado, Cristian Camilo; Piñeros Collantes, Miguel Piñeros; Guerrero Recalde, Nestor Fernando; Guerrero Recalde, Nestor Fernando [0000-0002-3982-4985]This report responds to an internship work carried out by Mathematics students from the Francisco José de Caldas District University, the IN-JU HUELLAS foundation and its PazArte schools. For this reason, a pedagogical work proposal was designed with students located in contexts affected by the armed conflict and social inequality in order to support children and young people through social actions that promote, manage and lead the peaceful resolution of conflicts. , coexistence and citizen participation, which allowed uniting the rights of children, the guiding principles, logical-mathematical thinking and role-playing games.Ítem Formación Inclusiva para docentes en el área de matemáticas, teniendo como escenario de acción las aulas hospitalariasCristancho Rojas, Daniel Gustavo; Albadan, Juan Pablo; Albadan, Juan Pablo [0000-0001-5188-377X]This present report is the result of the work carried out by a student of the Bachelor's Degree in Mathematics (LEMA) belonging to The Francisco José de Caldas District University in the hospital classroom of the city of Bogotá. The District University and the Hospital Classrooms program of the District Secretary of Education have established an agreement of wills whose purpose is to carry out specific actions, planned and designed to generate strategies and pedagogical reflections around different teaching contexts such as hospital classrooms, this through an internship (as a degree option) of intervention with hospital students. The work in the hospital classrooms allows access to an inclusive education that facilitates the continuous process of students with any disease condition, complying with the first objective of the agreement between the university and the program, Law 115 of 1994 and the right of children and young people to have an inclusive education. The Hospital Classroom (CH) must be contemplated in our country to be able to speak of an Inclusive Education, since it would be carrying out the challenge of integrating them satisfactorily without any type of discrimination to society from the same reality of children and adolescents hospitalized in medical institutions.Ítem Juegos de rol “la vista más hermosa” una aventura de aprendizaje matemático en la construcción de valoresGualteros Solorza, Iván Camilo; Guerrero Recalde, Néstor Fernando; Guerrero Recalde, Néstor Fernando [0000-0002-3982-4985]Problem solving (PR) in mathematics education has been a prominent field of research that aims to understand and relate the processes involved in RP to the development of students' mathematical knowledge and competencies. Under this approach, the Basic Standards of Mathematics Competences (EBCM) have been raised and require educators to re-evaluate their traditional methods. A critical element of the EBCMs is the general emphasis placed on contextualized and meaningful mathematics, in which students learn under the RP, demonstrating as they learn mathematics. In parallel, in recent years proposals in mathematics education link aspects of reality with mathematical objects that model situations of said reality, as stated in the Guidelines for the area of Mathematics: "...students through learning the Mathematics not only develop their capacity for thinking and logical reflection but, at the same time, they acquire a set of extremely powerful instruments to explore reality, represent it, explain it and predict it..." (MEN, 1998, p.) in the same way The Colombian curriculum proposes that through problematic situations of the student's daily life, he performs the praxis of active learning and mathematical reasoning.Ítem El arte y los videojuegos como material didáctico en aulas hospitalariasAngarita Triana, Andrea Julyet; Pineda Bermúdez, Diana Marcela; Mancera Ortiz, GabrielThis report is the result of the internship processes in hospital classrooms developed by Andrea Angarita and Diana Pineda, at the San José Pediatric Hospital-Colsubsidio Children's Clinic and at the Colsanitas Pediatric Clinic, located in the city of Bogotá. The main objective was to develop a didactic proposal to enable the strengthening of some school mathematical skills from didactic resources involving video games and art. This process was characterized by identifying the needs of the patient-students from which a didactic proposal is designed and implemented that uses virtual and playful resources and didactic materials, such as virtual boards, GeoGebra, video games, interactive boards, among others. , which allowed each patient-student to potentiate some mathematical skills necessary for the development of daily processes