Error analysis of mathematics students who are taught by using the book of mathematics learning strategy in solving pedagogical problems based on Polya’s four-step approach

Siregar, Budi Halomoan; Dewi, Izwita; Andriani, Ade

doi:10.1088/1742-6596/970/1/012004

Cited by 6 publications

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“…408). Este método tiene como principal objetivo mejorar la capacidad de los estudiantes para diseñar un aprendizaje activo, así como seguir un modelo que permita desarrollar su pensamiento, no solo depender de la memoria y el aprendizaje por fórmulas o teorías, sino que busque comprender el problema y cómo resolverlo (Siregar, 2018).…”

Section: Introductionunclassified

Método Pólya para fortalecer las destrezas en problemas de ecuaciones lineales de primer grado

Andrés

Loor

2023

MQRInvestigar

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Esta investigación se realizó en la Unidad Educativa “Pedro Antonio Vega,” ubicada en la ciudad de Flavio Alfaro-Manabí-Ecuador, donde se detectó desmotivación entre los estudiantes para la resolución de problemas, debido a que no poseen la destreza para interpretar las situaciones planteadas ni establecer la relación entre la pregunta y los datos, obstaculizando el diseño adecuado de estrategias de solución, por tanto, se necesita la aplicación de estrategias didácticas apropiadas para superar la problemática detectada. El objetivo del presente trabajo fue implementar una propuesta didáctica para aplicar el método de Pólya en la resolución de problemas de ecuaciones lineales de primer grado. La investigación es de tipo aplicada, sistemática y de observación participante, estudio correlacional con un enfoque explicativo con un enfoque mixto. Se consideró como población 30 estudiantes de bachillerato, de los cuales se tomó una muestra de 17 estudiantes de la figura de Ciencias de Primero de Bachillerato, a partir de un muestreo no probabilístico, intencional a criterio del autor. Se emplearon las técnicas de pre-test y post-test y como instrumento el cuestionario. Se obtiene como principal resultado que la ejecución del método de Pólya mejora la compresión tanto del método como en los procesos analíticos empleados para la resolución de problemas acerca de ecuaciones lineales, se concluye que la implementación del método de Pólya permite que los estudiantes desarrollen habilidades de interpretación, relación y diseño de estrategias para encontrar la solución a los problemas de ecuaciones de primer grado.

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Section: Introductionunclassified

Método Pólya para fortalecer las destrezas en problemas de ecuaciones lineales de primer grado

Andrés

Loor

2023

MQRInvestigar

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“…Newman's error analysis categorizes student error into five types of errors, including a) error reading, b) error understanding, c) error transforms, d) error processing ability, and e) error encoding (White, 2010;Abdullah et al, 2015). As for the other perspectives regarding the types of student errors in solving problems raised by Polya theory, there are four types of student mistakes, including a) errors in understanding the problem, b) errors in devising a plan, c) errors in carrying out the plan, and d) errors in looking back (Khalo et al, 2015;Siregar et al, 2018;Son & Fatimah, 2019).…”

Section: Introductionmentioning

confidence: 99%

Type of Error in Completing Mathematical Problem Based on Newman’s Error Analysis (Nea) and Polya Theory

Winarso¹,

Wahid²,

Rizkiah³

2022

JPMIPA

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This study disscusses student’s errors in completing mathematical problems based on Newman’s Errror Analysis and Polya Theory. The study uses a qualitative descriptive approach. The subject of this study are 78 students of Madrasah Aliyah Negeri (MAN) 2 Cirebon. The study uses tests and interviews as data collection techniques. Students take a test to determine their mathematical ability, and the test uses sequence and series as subjects. There are 3 phases in collecting data: data reduction, data presentation, and conclusion. Outline of Error analysis is created using five types of student mathematical error of Newman's Error Analysis and four types of student mathematical error of Polya Theory. The study results based on Newman's Error Analysis are errors reading by 1%, error understanding by 0%, error transforms by 3%, error processing ability by 5%, and error encoding by 7%. As the result of the study based Polya theory, errors when understanding the problem by 31%, errors when devising a plan by 11%, errors when carrying out the plan by 9%, and errors when Looking back by 33%. The result of the interview shows that the error occurs when students don’t do calculations carefully, don’t learn the formula, and cannot distinguish between sequence and series. Students also have a lack of understanding when completing the problem about compound interest.

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“…especial 5, 2022 ______________________________________________________________________75-86 Licencia de Creative Commons Atribución 4.0 Internacional (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/deed.es a la resolución de todo tipo de problemas (Merrotsy, 2017). Este método tiene como principal objetivo mejorar la capacidad de los estudiantes para diseñar un aprendizaje activo, así como seguir un modelo que permita desarrollar su pensamiento, no solo depender de la memoria y el aprendizaje por fórmulas o teorías, sino que busque comprender el problema y cómo resolverlo (Siregar, Dewi y Andriani, 2018).…”

Section: Introductionunclassified

Resolución de problemas con el método matemático de Polya: La aventura de aprender

2022

RCS

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Problem solving is the potential center of mathematics, its ability to develop thinking and analytical reasoning in human beings. The purpose of this study is to analyze the effects of the implementation of Polya's method in mathematical problem solving in first year high school students belonging to a particular educational center in Lima, Peru. The methodology used is quantitative, the hypothetical deductive method and quasi-experimental design. A sample of 60 students belonging to the first year of high school of a private school in Lima was taken; a survey was applied for data collection and two knowledge tests were used as instruments, "pre-test" before the application of the Polya method, and "post-test". The results show the existence of significant statistical differences in the "pre-test" and "post-test" tests, which was obtained thanks to the application of the statistician, the differences were of small effect in the students of the experimental group compared to the effects that it should cause, according to the literature reviewed. It is concluded that, if there is no adequate follow-up such as constant feedback and individualized support, the initial improvement results will not be sustained

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Error analysis of mathematics students who are taught by using the book of mathematics learning strategy in solving pedagogical problems based on Polya’s four-step approach

Cited by 6 publications

References 0 publications

Método Pólya para fortalecer las destrezas en problemas de ecuaciones lineales de primer grado

Método Pólya para fortalecer las destrezas en problemas de ecuaciones lineales de primer grado

Type of Error in Completing Mathematical Problem Based on Newman’s Error Analysis (Nea) and Polya Theory

Resolución de problemas con el método matemático de Polya: La aventura de aprender

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