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    Adaptación y Validación de un Instrumento de Medición del Concepto de Variable para Universitarios
    (FapUNIFESP (SciELO), 2023)
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    Pedro Saúl Orenday Yáñez
    Alumnos de primer ingreso a la universidad cometen errores algebraicos cuya fuente, probablemente, es un uso incorrecto o inadecuado de las variables. Es de interés para la Educación Matemática contar con un instrumento que permita identificar cuáles son los usos y caracterizaciones de la variable que presentan mayor dificultad. El objetivo de este trabajo es la adaptación y validación de un instrumento que cumpla con estas características. Las preguntas del instrumento son un conjunto representativo de la complejidad del objeto matemático variable con los tres significados parciales: variable como incógnita, variable como número general y variable en relación funcional. Las caracterizaciones abordan niveles de abstracción que van desde la interpretación a la manipulación y simbolización. Para la validación del cuestionario, éste se aplica a 251 alumnos de las carreras administrativas de una universidad privada en Guadalajara, México. Aquellos ítems con bajas comunalidades y que en un análisis factorial muestran, ya sea factores inestables o una distribución en factores múltiples se descartan, generando un cuestionario reducido que se aplica a 129 alumnos. La confiabilidad del nuevo cuestionario es buena con un alfa de Cronbach de 0.808. Se comprueba su validez con once factores relativos a las distintas caracterizaciones de los tres usos de la variable, que explican el 75.68% de la varianza total.
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    Eye Tracking Characterization of Algebraic Fraction Simplifications
    (MDPI AG, 2025-12-18)
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    <jats:p>Several major studies require that students understand and master the concepts and procedures of mathematics. More specifically, an area of mathematics such as algebra requires students to be able to simplify, operate with, or solve fractions. Many students entering university show numerous shortcomings and errors, especially when simplifying algebraic fractions. This is why we conducted a study using eye-tracking techniques to better understand how students process these types of exercises in attentional terms, comparing students who can handle them successfully against those who show errors in their procedures. For this purpose, we evaluated the eye movements of 64 students from different university majors to characterize the attentional–visual strategies they use to simplify four different algebraic fraction exercises. We found that each type of simplification exercise needs a specific strategy where some parts of the rational algebraic expressions are cognitively relevant. Students with correct answers tend to allocate attention to these elements. Students with incorrect answers tend to find similar expressions with the intention to cancel them out, without applying any metacognitive thinking. The rational algebraic expression needs to be taught in a more conceptual manner than procedural.</jats:p>
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      17  1
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    Álgebra matricial para administración
    (Universidad Panamericana, 2016)
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    GDL
      45
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      40  1
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    Desarrollo y Validación de un Instrumento de Medición de la Afectividad respecto a la Comisión de Errores en Matemáticas
    (2018)
    Karla Paulina Ibarra-González
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    <jats:p>Resumen La comisión de errores en matemáticas suele tener una connotación negativa, que provoca en los alumnos afectividad negativa hacia las matemáticas. El objetivo de este trabajo es desarrollar y validar un instrumento que mida la afectividad por la comisión de errores en matemáticas y la afectividad hacia las matemáticas por el error. Los reactivos del instrumento se basan en la relación entre la comisión de errores y las tres dimensiones de la afectividad: emociones, creencias y actitudes. Se aplica a 319 alumnos, de primer ingreso, de las carreras administrativas de una universidad privada en Guadalajara, México. El instrumento muestra una buena confiabilidad con un alfa de Cronbach de 0.9. El análisis factorial comprueba su validez con cinco factores relativos al error que explican el 52.73% de la varianza total: 1) emociones y afectos negativos por cometer errores, 2) conductas favorables hacia los errores como herramienta de aprendizaje, 3) mala concepción de la utilidad del error, 4) creencias y emociones negativas hacia las matemáticas por la comisión de errores y 5) la creencia de que de los errores se puede aprender matemáticas. Poder evaluar la afectividad que han desarrollado los alumnos por el error en matemáticas y hacia las matemáticas por el error, así como sus concepciones sobre el error, permitirá tener una visión de la cultura del error que han experimentado en su vida escolar, debida a la cual han formado creencias y actitudes que los inclinan a tener conductas favorables o desfavorables hacia el aprendizaje de las matemáticas.</jats:p>
    Scopus© Citations 3  6  2
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    EVIDENCES AND FUTURE OF A MATH-PLATFORM, THAT EXPLAINS REASONS OF COMMITTED MISTAKES
    (2020)
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    Karla Paulina Ibarra González
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    Rebeca Ascencio González
      8  2
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    Classification of Mexican audiences by their interest in digital news content and socioeconomic characteristics
    (2024)
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    Alfonso Vara-Miguel
    <jats:p>The news industry faces challenges due to the global macro and microeconomic environment. The current digital situation leads to the study of the characteristics of the audience interested in news content products. The central aim of this research is to classify the main attribute interest in digital news content in Mexico of the audience’s market by the attributes of age group, education level, and income level. This research is based on a survey of 2,005 digital news consumers in Mexico, directed in 2022 by the Reuters Institute for the Study of Journalism at the University of Oxford for the annual Digital News Report Study. The statistical method used is data mining with decision trees that classify the audience by the attribute of interest in the news as the dependent variable and attributes of age groups, education level, and income level as independent variables. These findings confirm the segmentation of digital news consumers’ audiences. The classification in which the attributes of age groups, level of education, and income level are considered simultaneously concerning audiences’ interests indicates that some of the predictions made show that some attributes may not be significant in some subsets, except for age group. The lowest average interest in the news is between 18 and 24 years, and the highest average interest in the news, which is nearly very interested, has audiences over 35 years.</jats:p>
      36  2
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      3  2
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    Electrophysiological Brain Response to Error in Solving Mathematical Tasks
    (2022)
    Francisco J. Alvarado-Rodríguez
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    Karla P. Ibarra-González
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    Hugo Vélez-Pérez
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    Rebeca Romo-Vázquez
    <jats:p>Objective: to identify energy patterns in the electrophysiological bands of the brain as possible indicators of overconfidence in students when they receive feedback indicating they have erred while solving a mathematical task. Methodology: EEG were recorded from 20 subjects while they performed mathematical exercises. Energy changes in the delta and theta bands before, during, and after solving the task were analyzed. Results: when the answers to the exercises were shown, an increase of energy in the delta band was observed in participants with correct answers but a reduction in that band in those who answered incorrectly. Subjects with incorrect answers received feedback and then attempted to solve a second, similar, exercise. Subjects who answered correctly showed an increase of energy theta, while those with incorrect answers showed a decrease. Conclusions: the energy changes when subjects erred while solving a mathematical task could serve as a quantitative indicator for characterizing overconfidence.</jats:p>
    Scopus© Citations 1  9  2