Licenciatura en matemáticas
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Item Propuesta didáctica para la enseñanza-aprendizaje de la geometría en grado séptimo a través del arte(Universidad Antonio Nariño) Diaz Sánchez, Yeni Johanna; Angel Cuervo, Zaida MabelThis degree work presents the development of a primer as teaching material to address the subject of movements in the plane through art, which reveals new learning contexts and contributes to strengthening geometry and culture. The idea arose from the teaching practices carried out in the Mercedes Nariño Women's High School with the seventh grade students and from the teaching experience acquired in the mathematics area of the Nuevo Liceo Santa Clara school, places where the need to create resources for the study of this topic. It is essential to find didactic strategies that allow the teaching-learning process in geometry to be carried out in a meaningful way, taking into account the quality of education in this area, which is fundamental, in addition to the integration of the knowledge of different disciplines it is there where integrating geometric knowledge with art offers new teaching possibilities. Taking into account that art is a form of creative expression, where feelings, emotions and perceptions of the space that surrounds them can be represented, it can be used as a pretext for teaching movements on the plane, it was considered an alternative to recover in the Students motivate and promote the learning of geometric subjects. The design of the primer for the teaching of movements in the plane through art was supported in Meaningful Learning, which is a method that consists of relating new information with what is already possessed, to build knowledge. The contents of the booklet work on concepts of movements in the plane such as translation, rotation, reflection, symmetry and homothecy, having a coherence between the contents, a didactic sequencing using art as a resource, starting from the students' previous knowledge and developing new knowledge, which was validated by two expert peers in the teaching of mathematics and that through their assessment it was possible to adjust the teaching material that guarantees its quality, content, relevance and design for the degree and subject that is managed. This booklet is a contribution to the field of mathematics education, as future teachers will have a different didactic material to address the subject of movements in the plane, facilitating the teaching-learning process in seventh grade where there is significant learning on the part of students and in this way strengthen spatial thinking.Item Diseño de actividades con el uso de la modelación matemática para apoyar el proceso de enseñanza aprendizaje de razón y proporción en quinto de primaria(Universidad Antonio Nariño) Triana Reina, Angela Lizeth; Vesga Bravo, Grace JudithThe objective of this degree work is design didactic material for teaching ration and proportioning by means of mathematic modeling. In this sense, the students of cycle III (Grade Fifth) are exposed to problems with the purpose that they serve as a tool to facilitate the understanding of basic concepts of proportionality, since mathematical problems allow to the student, through activities based on real contexts, to strengthen their knowledge and mathematic conceptsItem Enseñanza de la resolución de triángulos aplicados al Fashion Design para grado décimo(Universidad Antonio Nariño) Ospitia Ramírez, Yudy Solanyi; Vizcaíno Arévalo, Diego FabiánIn this work you will find didactic material designed for the teaching and learning of trigonometry in tenth grade. Here we work on the resolution of triangles through the different theorems: Pythagoras, trigonometric ratios, sine and cosine law, all applied to Fashion Design. The methodological basis of this work focuses on learning meaningful and project-based learning, always trying to strengthen metric thinking, measurement system and the process of formulating, comparing and exercising procedures. This will be evident in each guide, as students will have to design clothing using different patterns and the knowledge acquired in solving triangles.Item Aprendizaje de patrones de secuencia, en estudiantes de cuarto grado de primaria a partir de patrones rítmicos(Universidad Antonio Nariño) Gómez Pachón, Lina María; Bedoya Ríos, Nohemy MarcelaThis research study studies the influence of music on mathematics learning, specifically rhythmic patterns on sequence patternsin fourth grade primary schoolstudents, based on Ausubel's (1963) meaningful learning. Therefore, this research monograph contributes to variational thinking and algebraic systems and emerges as a proposal in teaching-learning processes.Item Diseño de material virtual de apoyo a la enseñanza de las ecuaciones cuadráticas para grado noveno(Universidad Antonio Nariño) Martínez Velandia, Jorge Armando; Vizcaino Arevalo, Diego FabianThis work proposes the design of a virtual material to support the teaching of quadratic equations for ninth grade, based on the gamified WebQuest format, constructivism and Pólya's proposal to teach dynamically.Item Diseño de actividades con el uso de la visualización para apoyar el proceso de enseñanza aprendizaje de las matemáticas en ciclo IV(Universidad Antonio Nariño) Guerrero, Juan Sebastián; Vesga Bravo, Grace JudithThe purpose of this degree work is the design of teaching material for teaching mathematical topics through visualization. It has been made a background study where the leading role is assumed by the development of visualization in teaching mathematical topics.Item Experiencia en tiempos de pandemia de la unidad didáctica adaptada ¨Las joyas de Platón¨(Universidad Antonio Nariño) Osorio Lozano, Laura Paola; Angel, Zaida M.This final degree work presents the adaptation and implementation of the didactic unit "Plato's jewels" designed by Castañeda (2018), which was planned to be in person in the regular classroom conditions at school, using the origami as a teaching strategy. Due to the education issues that Colombia and the world are going through, it was necessary think about non-in person classes, for this reason the theory of connectivism was reviewed to choose a new pedagogical tool that would attend to the current needs in terms of mathematics education and especially in geometry. Choosing Geogebra as a didactic resource to facilitate the teaching-learning process of the Platonic solids and the use of TIC to achieve the targets proposed in each of the guides that are adapted to virtuality. This didactic unit was implemented during the second semester of the school year with sixth grade students from Gimnasio Santa Cruz School during eight sessions, using Geogebra and various web tools. During the investigative process and with partial results, a presentation entitled teaching geometry in times of pandemic was presented to Sifored 2020, which was approved. After implementing the whole unit, it was achieved that the students manipulated Geogebra identifying and characterizing Platonic solids through the different tools that are presented there, the remaining results were systematized and the conclusions and recommendations derived from this investigation are presented.Item Unidad Didáctica. Aprendizaje Del Algebra Mediante El Algebra Geométrica Para Estudiantes Del Ciclo IV De La Educación Para Jóvenes Y Adultos Del IED Alimrante Padilla(Universidad Antonio Nariño) Fuentes Ortiz, Juan Carlos; Infante Pinto, NaborThe aim of this paper is to propose a didactic unit to make the learning of algebra more comprehensible, which corresponds to one of the tools of variational thinking, for the students of cycle IV of education for young people and adults of the IED Almirante Padilla de the weekend dayItem Unidad didáctica para fortalecer el desarrollo del pensamiento espacial en estudiantes de grado sexto: las joyas de platón y la papiroflexia(Universidad Antonio Nariño) Castañeda Torres, Francy María Carolina; Ángel Cuervo, Zaida MabelThis document deploys a proposal to strengthen spatial thinking in sixth grade students, having as a legal framework the General Education Law 115, as well as the Guidelines, Standards and Basic Learning Rights, which establish the development of spatial thinking in the grade. sixth. Understanding that the construction of this thinking in the classroom traditionally occurs from the perspective of the two-dimensional in a three-dimensional world, it is evident that students have some shortcomings when working with different solids, which is why this monographic work is proposed, from the background analysis, where a consultation is made of some local, national and international works that refer to the teaching of solids and spatial thinking with tangible manipulative material; For the design of the proposal it was necessary to understand the Platonic solids and their characteristics, as well as the creation of a pedagogical framework that is based on meaningful learningItem Creencias sobre la matemática de estudiantes de básica secundaria del liceo femenino mercedes Nariño y su relación con el logro académico Usme(Universidad Antonio Nariño) León Hernández, Sandra Milena; Vesga Bravo, Grace JudithThroughout this investigation an adaptation was made to the questionnaire on epistemological knowledge on Math taken from Annia Esther Vizcaino’s doctoral thesis with the aim of using it to determine the existing degree of knowledge about Math of Elementary and Middle school students, particularly those seventh, eighth and ninth-graders from a state all-girls school in Bogota.Item Enseñanza de rotación, traslación y principios del plano cartesiano para niños y niñas de grado quinto. Una propuesta didáctica.(Universidad Antonio Nariño) Alape Huertas, Sergio David; Vizcaíno Arévalo, Sergio DavidIn this work, a didactic unit is presented for the teaching of rotation, translation and principles of the Cartesian plane from bodily activities and dance, based on the meaningful learning of Novak and Ausubel and on Vygotsky's zone of proximal development theory. This proposal arises as a response to traditional methodologies, common in this area that make it unpleasant for students. With this work we want to contribute to the development of geometric and metric thinking, supported by forms of work that are attractive to students, such as physical education and dances. These guides work on body movement, which is important at the age of fifth grade students, without losing the mathematical horizon or the distance from the educational references in Colombia such as standards, curricular guidelines and the basic rights of learning.Item Estrategia didáctica basada en TIC para el aprendizaje de ecuaciones de primer grado en estudiantes de octavo grado del Liceo Ciudad Capital de Bogotá.(Universidad Antonio Nariño) García Fandiño, Juan Sebastián; Ramírez Correa, Jhoan Sebastián; Medina Marín, MayerlyThis research monograph addresses the persistent challenge in the teaching and learning process of algebra in secondary education. Our objective is to apply a strategy based on communication technologies (ICT) to enhance the learning of eighth-grade students in solving first-degree equations.Item Aprendiendo estadística con emoción” la neuroeducación y brousseau perfectos aliados para la enseñanza de la estadística a los estudiantes de grado séptimo del colegio distrital paulo freire(Universidad Antonio Nariño) Ibagón Rojas, Liliana; Angel Cuervo, Zaida MabelIn the educational field, different circumstances are generated that lead the teacher to raise major questions related to how to achieve motivation and disposition towards the area of mathematics on the part of the students, a situation that leads to questioning about the pedagogical task, especially when it comes to To evaluate our students, when analyzing the results obtained from the evaluation process, the teacher generally encounters a harsh reality, since these are not what was expected, which sometimes generates demotivation in the teacher, since his effort, class preparation and other strategies that are put into play during teaching are not reflected.Item Creencias que tienen docentes de matemáticas en formación sobre la solución de problemas. un estudio de casos en la universidad Antonio Nariño(Universidad Antonio Nariño) Abril Rodríguez, Diego Fernando; Fuerte Cárdenas, Ricardo; Vesga Bravo, Grace JudithThe purpose of this document is to present the information carried out in the second semester of 2016, in the field of Teaching Practice I of the sixth semester students of the Bachelor's Degree in Mathematics at the Antonio Nariño University, regarding the beliefs that are taken regarding the solution of problems in mathematics in school education.Item Análisis y estructuración de las creencias que tienen sobre la matemática estudiantes de básica secundaria del liceo femenino mercedes Nariño(Universidad Antonio Nariño) Sánchez Cruz, Maryi Alexandra; Vesga Bravo, Grace JudithThe objective of this work was to describe the beliefs about the mathematics of a group of twelve students of IED Liceo Femenino Mercedes Nariño, a public school in the city of Bogotá, belonging to the eighth, ninth and tenth grades, and to deepen on the way they have been educated.Item Diseño de una cartilla para el desarrollo del pensamiento espacial, mediante la construcción de modelos en 3D(Universidad Antonio Nariño) Patiño López, David Esteban; Angel Cuervo, Zaida MabelThis degree work presents the design and validation of a primer for fourth grade students, entitled "Exploring Geometry", which was based on the theoretical constructs of meaningful learning, Piaget's stages and some polyhedra. Its content contributes to the teaching-learning process of geometry, specifically the cube, the parallelepiped and the pyramid, based on threedimensional models.Item Ansiedad hacia las matemáticas de estudiantes de quinto y noveno grado del liceo femenino Mercedes Nariño y las actitudes que perciben de sus maestros.(Universidad Antonio Nariño) Cortes Angulo, Yesica Nayibe; Vesga Bravo, Grace JudithThis research work aimed to determine what is the level of anxiety that fifth and ninth grade students of the Liceo Femenino Mercedes Nariño have towards mathematics and their attitudes they perceive from their math teacher, and whether there are differences between the grades. For this reason, the Fennema and Sherman instrument (1976) was used, which is made up of nine subscales which can be used individually or together, two of these subscales were used. 295 students participated, 43% of fifth-grade students, the results indicate that if there is a significant and positive correlation between the two variables, in addition to each of the grades, it was also identified that there are no significant relationships between one grade and another.Item Uso de Khan Academy para apoyar el proceso de enseñanza aprendizaje de Preálgebra(Universidad Antonio Nariño) Castro Lopez, Yudy Carolina; Vesga Bravo, Grace JudithThe purpose of this research work, was to use Khan Academy as a strategy for reinforcement in prealgebra aimed at sixth grade students from the Western Major School of Facatativá. It is essential to strengthen the arithmetic bases necessary to make an adequate transition from arithmetic to algebraic lenguage. According to the programming in the institution´s curriculum, it was possible to work on this content in the fourth period. Seventeen sixth grade high school students took part in this investigation, who took part of the prealgebra module offered by Khan Academy, it contains 10 topics are arithmetic properties, factors and multiples, reading and interpreting data, measurement, fractions, decimals, negative numbers in the coordinate plane, ratios, rates and proportions, equations, expressions, inequalities, exponents, radicals, and scientific notation. It was possible to show, during the work on the reinforcements, that the students presented difficulties in some contents, such as measurement, factors, multiples, rates and proportions, for that reason we worked rigorously to strengthen this knowledge, also giving importance to the perception of the student on the use of digital tools for their learning.Item Habilidades metacognitivas de los estudiantes de primer semestre de la facultad de educación en la UAN(Universidad Antonio Nariño) Beltrán Cristancho, Jorge Alexander; Cárdenas, DianaAmong the latest strategies for acquiring new knowledge, is metacognition, which is addressed in this paper to have a clear idea about the development of metacognitive skills in 2015-1 students of the Faculty of Education UAN on the subject: Foundations of Education, in which the proposed by Flavell (1970) model, one of the main forerunners, who defines metacognition as "thought processes of people on their own knowledge and understanding was evident they have about their own cognitive action. "Item Tejido propio del pueblo nasa: Un diálogo de saberes con las matemáticas occidentales para el aprendizaje de la geometría en grado cuarto(Universidad Antonio Nariño) Aquino Aquite, Neriberta; Angel Cuervo, Zaida MabelThis degree work presents a didactic proposal for the teaching and learning of geometry through the dialogue of knowledge with the culture of the Nasa indigenous people, carrying out an ethnomathematical proposal with fourth grade students. This with the aim of evaluating the effectiveness of the TEJIMA strategy, in which nasa tissue is used as a basis for teaching and learning Western mathematics.
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