Problem-solving, Numerical and Variational Thinking in Elementary School: A Review

Problem-solving and numerical and variational thinking are aspects of mathematical competence in which elementary school students often have difficulties. This paper analyzes the state of research around problem-solving and numerical and variational thinking in primary education. The research used t...

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Main Author: Barrera, Hugo Fernando
Format: Online
Language:spa
Published: Universidad Pedagógica y Tecnológica de Colombia 2021
Subjects:
Online Access:https://revistas.uptc.edu.co/index.php/educacion_y_ciencia/article/view/12594
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author Barrera, Hugo Fernando
author_facet Barrera, Hugo Fernando
author_sort Barrera, Hugo Fernando
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description Problem-solving and numerical and variational thinking are aspects of mathematical competence in which elementary school students often have difficulties. This paper analyzes the state of research around problem-solving and numerical and variational thinking in primary education. The research used the hermeneutic and documentary approaches. Fifty scientific articles fulfilled the proposed inclusion criteria. As a result, it is found that most studies have sought to apply the Polya method, use technological, manipulable, and playful materials, relate problems to context, use inquiry to promote understanding and teaching, study the role of reading comprehension, and delve into students’ strategies and emotions when solving problems.  The results show that is possible to facilitate the learning of problem solving and numerical and variational thinking if students are challenged to solve contextualized tasks autonomously, in playful environments, and supported with reading comprehension and emotional self-regulation skills.
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spelling oai:oai.revistas.uptc.edu.co:article-125942022-06-16T15:47:00Z Problem-solving, Numerical and Variational Thinking in Elementary School: A Review Resolución de Problemas, Pensamiento Numérico y Variacional en Básica Primaria: una Revisión Barrera, Hugo Fernando Pensamiento numérico Pensamiento variacional Educación primaria resolución de problemas problem solving numerical thinking variational thinking elementary Problem-solving and numerical and variational thinking are aspects of mathematical competence in which elementary school students often have difficulties. This paper analyzes the state of research around problem-solving and numerical and variational thinking in primary education. The research used the hermeneutic and documentary approaches. Fifty scientific articles fulfilled the proposed inclusion criteria. As a result, it is found that most studies have sought to apply the Polya method, use technological, manipulable, and playful materials, relate problems to context, use inquiry to promote understanding and teaching, study the role of reading comprehension, and delve into students’ strategies and emotions when solving problems.  The results show that is possible to facilitate the learning of problem solving and numerical and variational thinking if students are challenged to solve contextualized tasks autonomously, in playful environments, and supported with reading comprehension and emotional self-regulation skills. La resolución de problemas y el pensamiento numérico y variacional son aspectos de la competencia matemática en los que los estudiantes de primaria suelen presentar dificultades, lo que demanda su fortalecimiento. Este artículo analiza qué se está investigando en torno al abordaje para la resolución de problemas y el pensamiento numérico y variacional en la educación primaria. La investigación usó el enfoque hermenéutico y de tipo documental. Se hallaron 50 artículos científicos que cumplieron con los criterios de inclusión propuestos. Como resultado se encuentra que la mayoría de estudios han buscado aplicar el método Polya, usar materiales tecnológicos, manipulables y lúdicos, relacionar los problemas con el contexto, utilizar la indagación para favorecer la comprensión y la enseñanza, estudiar el papel de comprensión lectora y adentrarse en las estrategias y emociones de los estudiantes cuando resuelven problemas. Se concluye que es posible propiciar el aprendizaje de la resolución de problemas y el pensamiento numérico y variacional, si los estudiantes son retados a solucionar tareas contextualizadas de manera autónoma, en ambientes lúdicos y apoyados con habilidades de comprensión lectora y autorregulación emocional.  Universidad Pedagógica y Tecnológica de Colombia 2021-09-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/educacion_y_ciencia/article/view/12594 10.19053/0120-7105.eyc.2021.25.e12594 Educación y Ciencia; Núm. 25 (2021); e12594 2805-6655 spa https://revistas.uptc.edu.co/index.php/educacion_y_ciencia/article/view/12594/10963 Derechos de autor 2021 Educación Y Ciencia
spellingShingle Pensamiento numérico
Pensamiento variacional
Educación primaria
resolución de problemas
problem solving
numerical thinking
variational thinking
elementary
Barrera, Hugo Fernando
Problem-solving, Numerical and Variational Thinking in Elementary School: A Review
title Problem-solving, Numerical and Variational Thinking in Elementary School: A Review
title_alt Resolución de Problemas, Pensamiento Numérico y Variacional en Básica Primaria: una Revisión
title_full Problem-solving, Numerical and Variational Thinking in Elementary School: A Review
title_fullStr Problem-solving, Numerical and Variational Thinking in Elementary School: A Review
title_full_unstemmed Problem-solving, Numerical and Variational Thinking in Elementary School: A Review
title_short Problem-solving, Numerical and Variational Thinking in Elementary School: A Review
title_sort problem solving numerical and variational thinking in elementary school a review
topic Pensamiento numérico
Pensamiento variacional
Educación primaria
resolución de problemas
problem solving
numerical thinking
variational thinking
elementary
topic_facet Pensamiento numérico
Pensamiento variacional
Educación primaria
resolución de problemas
problem solving
numerical thinking
variational thinking
elementary
url https://revistas.uptc.edu.co/index.php/educacion_y_ciencia/article/view/12594
work_keys_str_mv AT barrerahugofernando problemsolvingnumericalandvariationalthinkinginelementaryschoolareview
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