The objectives of this research are to assess the performance of engineering stu-dents when using mathematical competences to solve problems with derivatives, to analyze their difficulties, and to observe which secondary school contents are essential for this purpose. The study is descriptive and exploratory with the use of quantitative methods. The participants are students of three competence-based engineering programs of a Chilean University. The results show a limited knowledge of secondary education mathematical contents like algebra, the main mathematical functions, and proportional geometry. The presence of difficulties associated to mathematical thinking processes and the complexity of mathematical objects are also evident. However, everyday problems in an artificial or fantasy context were more appealing for students, who solved most of them correctly. Even though these problems are imaginary, they were formulated using situations that engineering students face every day.
ResumenEste artículo describe parte de una investigación realizada en la enseñanza secundaria cuyo objetivo fue diseñar una evaluación en el campo del desarrollo valórico considerando la resolución de problemas en matemática, aplicada a 285 estudiantes de segundo año de 23 establecimientos científico-humanista municipales de la Región de Los Ríos y de la Región de Los Lagos de Chile. La metodología usada para su desarrollo fue cualitativa y cuantitativa, e incluyó entrevistas y aplicación de una prueba de situaciones problemas de matemática asociados a valores. Los resultados encontrados evidenciaron la falta de integración de la enseñanza de valores en la formación disciplinaria, además del limitado grado de habilidad de los estudiantes en la resolución de problemas. Palabras-claves: AbstractThis article describes part of a research project conducted in secondary education settings whose objective was to design an assessment in the area of values development * Doctora en Educación con Especialización en
Being able to understand a written text is an essential life skill, as is solving a problem, which configures a bidirectional relationship between both skills. With regard to reading comprehension, at least three specific levels are required to achieve a full understanding of a text: literal, inferential, and critical. For its part, mathematics has changed substantially in recent decades, prioritizing problem-solving as the central axis of the teaching process as it constitutes a resource for learning. This study connects both skills and aims to design and validate a mathematical problem-solving test contextualized to the quadratic function, to assess the level of reading comprehension of secondary school students. The study is nonexperimental, cross-sectional, and focused on psychometric aspects since it aims to validate a measurement instrument. It was applied on a pilot basis to three municipal secondary education courses in Chile. The content, construct, discrimination, and reliability validation tests carried out allowed us to demonstrate that the problem-solving test contextualized to the quadratic function is a reliable instrument to produce knowledge in educational research.
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