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Translation, Language instruction, Native speaker conversation
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Specializes in:
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Sample translations submitted: 1
English to Spanish: PhD Thesis Article General field: Science Detailed field: Mathematics & Statistics
Source text - English Resumen: El escrito tiene como propósito aportar avances en la caracterización del pensamiento variacional emergente del proceso resolución de problemas que involucran ecuaciones lineales diofánticas de la forma 𝑎𝑥+𝑏𝑦=𝑐 en un grupo de 24 estudiantes que se forman para profesores de matemáticas con un enfoque cualitativo desde la teoría fundamentada. La estrategia metodológica estuvo compuesta por tres intervenciones y tres ciclos de codificación y análisis de datos caracterizados por el método de comparación constante que condujeron al muestreo y saturación teórica. Los hallazgos evidencian la forma de pensar variacional de los participantes cuando a partir de sustituciones y combinaciones de números enteros en la ecuación, establecen nexos y relaciones que los lleva a formalizar, generalizar y probar. Además, cuando los estudiantes interpretan las infinitas soluciones, piensan en cómo moverse de la dupla de números enteros (𝑥𝑖,𝑦𝑖) como una solución particular a otra solución (𝑥𝑖+1,𝑦𝑖+1) de manera simultánea cuando 𝑡∈ℤ cambia a 𝑡±1. Como resultado se caracterizó el pensamiento variacional como proceso en la resolución de problemas, conformado por los subprocesos transformar, formalizar, generalizar y probar variacionalmente. Los resultados implican que es posible seguir avanzando en caracterizar el pensamiento variacional desde estos contextos.
Translation - Spanish Summary: The document has as purpose to contribute on the achievements about the characterization of the variational thinking that emerges in the problem resolution process that involves diophantic linear equations in the form 𝑎𝑥+𝑏𝑦=𝑐 in a group of 24 students that whom are trained to become mathematics teachers with a qualitative approach from the substantiated theory. The methodologic strategy was composed of three interventions and three codification cycles and data analysis characterized by the constant method of comparison which led to the sampling and theoretical saturation. The findings have shown a variational way of thinking from the participants when as of the substitutions and combinations of integers in the equation they established nexus and relations that carry them to generalizing, formalizing and proving. Therefore, when the students interpret the infinite solutions they think in how to move from the duet of integers (𝑥𝑖,𝑦𝑖) as a particular solution and another solution (𝑥𝑖+1,𝑦𝑖+1) in a simultaneous way when 𝑡∈ℤ changes to 𝑡±1. As a result, it was characterized the variational thinking as a problem resolution process composed by the sub-processes: to transform, to formalize, to generalize and to prove variationally. The results imply that it is possible to keep moving forward in characterizing the variational thinking from these contexts.
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Translation education
Bachelor's degree - Francisco de Paula Santander University
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Years of experience: 7. Registered at ProZ.com: Jun 2020.
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A lawyer with International, Business and Human Rights Law background. With experience teaching English as a foreign language and translation of academic texts and documents.
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