Strategies for Solving Multiplicative Structure Problems with Natural Numbers and Fractions

Strategies for Solving Multiplicative Structure Problems with Natural Numbers and Fractions

This study explores how elementary and secondary school students solve multiplicative structure problems (multiplication, partitive division, and measurement division). A questionnaire was used with nine problems involving natural numbers and fractions, and the research examined both the level of su...

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Huvudupphovsmän: Zorrilla, Cristina, Ivars, Pedro, Fernández, Ceneida
Materialtyp: Online
Språk:spa
Publicerad: Universidad Autónoma de Baja California. Instituto de Investigación y Desarrollo Educativo 2023
Länkar:https://redie.uabc.mx/redie/article/view/4407
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spelling redie-article-44072024-05-03T18:43:07Z Strategies for Solving Multiplicative Structure Problems with Natural Numbers and Fractions Estrategias para resolver problemas de estructura multiplicativa con naturales y fracciones Estratégias para resolver problemas de estrutura multiplicativa com naturais e frações Zorrilla, Cristina Ivars, Pedro Fernández, Ceneida enseñanza de las matemáticas aritmética educación básica educación secundaria mathematics instruction arithmetic basic education secondary education ensino de matemática aritmética educação básica educação secundária This study explores how elementary and secondary school students solve multiplicative structure problems (multiplication, partitive division, and measurement division). A questionnaire was used with nine problems involving natural numbers and fractions, and the research examined both the level of success of students and the strategies employed for each type of problem (by grade level). The results show a lower level of success in problems with fractions than with natural numbers, with students having difficulty recognizing that the structure of the problems was the same. Algorithms were the most commonly used strategy, but other strategies also emerged, depending on the type of number involved (natural numbers or fractions). En el estudio se analiza la forma en que los estudiantes de Primaria y Secundaria resuelven problemas de estructura multiplicativa (multiplicación, división-partitiva y división-medida). Se utilizó un cuestionario con nueve problemas en los que se tomó en cuenta el uso de números naturales y fracciones, y se analizó tanto el nivel de éxito como las estrategias implementadas en cada tipo de problema (por curso). Los resultados muestran un menor nivel de éxito en los problemas con fracciones que con números naturales, ya que los estudiantes presentaron dificultades para identificar que la estructura de los problemas era la misma. El uso del algoritmo fue la estrategia más utilizada; no obstante, emergieron otras estrategias dependiendo del tipo de números implicados (naturales o fracciones).   Este estudo analisa a forma como os alunos do ensino Primário e Secundário resolvem problemas de estrutura multiplicativa (multiplicação, divisão-partitiva e divisão-medida). Foi utilizado um questionário com nove problemas em que se considerou o uso de números naturais e frações, e se analisou tanto o nível de sucesso como as estratégias implementadas em cada tipo de problema (por curso). Os resultados mostram um menor nível de acerto nos problemas com frações do que com números naturais, pois os alunos apresentaram dificuldades em identificar que a estrutura dos problemas era a mesma.  A utilização do algoritmo foi a estratégia mais utilizada; no entanto, outras estratégias surgiram dependendo do tipo de número implicado (números naturais ou frações). Universidad Autónoma de Baja California. Instituto de Investigación y Desarrollo Educativo 2023-05-23 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion text/html application/pdf text/xml application/epub+zip audio/mpeg https://redie.uabc.mx/redie/article/view/4407 10.24320/redie.2023.25.e15.4407 Revista Electrónica de Investigación Educativa; Vol. 25 (2023); 1-19 Revista Electrónica de Investigación Educativa; Vol. 25 (2023); 1-19 1607-4041 spa https://redie.uabc.mx/redie/article/view/4407/2411 https://redie.uabc.mx/redie/article/view/4407/2412 https://redie.uabc.mx/redie/article/view/4407/2436 https://redie.uabc.mx/redie/article/view/4407/2414 https://redie.uabc.mx/redie/article/view/4407/2426 Derechos de autor 2023 Cristina Zorrilla, Pedro Ivars, Ceneida Fernández https://creativecommons.org/licenses/by-nc/4.0
institution REDIE
collection OJS
language spa
format Online
author Zorrilla, Cristina
Ivars, Pedro
Fernández, Ceneida
spellingShingle Zorrilla, Cristina
Ivars, Pedro
Fernández, Ceneida
Strategies for Solving Multiplicative Structure Problems with Natural Numbers and Fractions
author_facet Zorrilla, Cristina
Ivars, Pedro
Fernández, Ceneida
author_sort Zorrilla, Cristina
title Strategies for Solving Multiplicative Structure Problems with Natural Numbers and Fractions
title_short Strategies for Solving Multiplicative Structure Problems with Natural Numbers and Fractions
title_full Strategies for Solving Multiplicative Structure Problems with Natural Numbers and Fractions
title_fullStr Strategies for Solving Multiplicative Structure Problems with Natural Numbers and Fractions
title_full_unstemmed Strategies for Solving Multiplicative Structure Problems with Natural Numbers and Fractions
title_sort strategies for solving multiplicative structure problems with natural numbers and fractions
description This study explores how elementary and secondary school students solve multiplicative structure problems (multiplication, partitive division, and measurement division). A questionnaire was used with nine problems involving natural numbers and fractions, and the research examined both the level of success of students and the strategies employed for each type of problem (by grade level). The results show a lower level of success in problems with fractions than with natural numbers, with students having difficulty recognizing that the structure of the problems was the same. Algorithms were the most commonly used strategy, but other strategies also emerged, depending on the type of number involved (natural numbers or fractions).
publisher Universidad Autónoma de Baja California. Instituto de Investigación y Desarrollo Educativo
publishDate 2023
url https://redie.uabc.mx/redie/article/view/4407
_version_ 1798984268301467648

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