Eccius-Wellmann, Cristina
Preferred name
Eccius-Wellmann, Cristina
Official Name
Eccius Wellmann, Clara Cristina
Alternative Name
ceccius
Main Affiliation
ORCID
0000-0001-7681-7840
Scopus Author ID
57144519100
Researcher ID
T-8660-2018
18 results
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Item type:Publication, Eye Tracking Characterization of Algebraic Fraction Simplifications(MDPI AG, 2025-12-18); ; <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> - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Adaptación y Validación de un Instrumento de Medición del Concepto de Variable para Universitarios(FapUNIFESP (SciELO), 2023); ; Pedro Saúl Orenday YáñezAlumnos 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. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, 17 1 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, 45 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, 40 1 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, EVIDENCES AND FUTURE OF A MATH-PLATFORM, THAT EXPLAINS REASONS OF COMMITTED MISTAKES(2020); ;Karla Paulina Ibarra GonzálezRebeca Ascencio González8 2 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, 3 2 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Comparación de perfiles de ansiedad matemática entre estudiantes mexicanos y estudiantes alemanes(2017); ;Barragan, Antonio ;Bastian MartschinkStefan Freitag<jats:p>Se determinan los perfiles de ansiedad matemática de estudiantes mexicanos y estudiantes alemanes por medio de la aplicación de un cuestionario desarrollado ex profeso. La ansiedad matemática se define en términos de tres descriptores: creencias, actitudes y emociones. Los autores definen un Índice de Ansiedad Matemática, al aplicarlo encuentran que los estudiantes alemanes presentan un valor mayor de dicho Índice, lo que significa que tienen una mayor nivel de ansiedad matemática. Las diferencias en los valores del Índice de Ansiedad Matemática se interpretan en términos de diferencias culturales. La interpretación parece ser consistente con las diferencias culturales y se ajusta a los resultados obtenidos.</jats:p>Scopus© Citations 5 11 2 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Electrophysiological Brain Response to Error in Solving Mathematical Tasks(2022) ;Francisco J. Alvarado-Rodríguez ;Karla P. Ibarra-González; ;Hugo Vélez-PérezRebeca 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 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, 24 2
