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Journal articles on the topic 'Polya's Problem Solving Methods'

Author: Grafiati

Published: 4 June 2025

Last updated: 1 August 2025

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1

Manah, Nila Kumoro, Isnarto Isnarto, and Kristina Wijayanti. "Analysis of Mathematical Problem Solving Ability Based on Student Learning Stages Polya on Selective Problem Solving Model." Unnes Journal of Mathematics Education 6, no. 1 (2017): 19–26. http://dx.doi.org/10.15294/ujme.v6i1.10855.

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The purpose of this study was to determine the thoroughness of VII grade students who taught by the Selective Problem Solving (SPS) model and to know the description of students' mathematical problem solving ability based on Polya's stages on SPS learning model. Data collection method used the method of participant observation, tests, interviews, and documentation.The method used in this study is a mixed methods with sequential explanatory design where the first stage of research used quantitative methods, and the second stage used qualitative methods. The subjects of this research are six stu

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Al-Jehada, B. Gulam, and C. Arenas Joel. "Mathematics Performance and Polya's Method in Problem Solvin." World Journal of Advanced Research and Reviews 23, no. 3 (2024): 2156–62. https://doi.org/10.5281/zenodo.14964133.

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The perpetual challenge of uncertain problem-solving skills among local education administrators is underscored by data from a public science and technology high school despite being a performing public science high school, students have been still struggling to enhance their critical thinking skills, posing an unceasing issue. The purpose of this study is to determine the impact of Polya's four-step method on the Grade 9 students' performance in mathematics. Utilizing a one-group pretest-posttest design, the researcher aimed to determine which aspects of Polya's method improved students' math

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3

Triana, Riyadi*,, Triana Jamilatus, and Puput Nikmaturrohmah. "Profile of Students’ Problem-Solving Skills Viewed from Polya's Four-Steps Approach and Elementary School Students." European Journal of Educational Research 10, no. 4 (2021): 1625–38. http://dx.doi.org/10.12973/eu-jer.10.4.1625.

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<p style="text-align: justify;">Problem-solving is considered one of the thinking skills that must be possessed in 21<sup>st</sup>-century education because problem-solving skills are required to solve all problems that arise. The problem-solving stages that can be used are Polya's four steps, namely, understanding the problem, devising a plan, carrying out the plan, and looking back. Problem-solving skills are essential for solving word problems. Word problems based on arithmetic operations are divided into three types: one-step, two-step, and multistep. This qualitative res

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Sinambela, Mindo Hotmaida. "ANALYSIS OF THE PROBLEM OF SOLVING THE PROBLEM IN COMPLETING THE PROBLEM OF THE STORY BASED ON THE STEPS OF THE PATTERN IN COMPARATIVE MATERIAL." JURNAL EDUSCIENCE 7, no. 1 (2020): 1–10. http://dx.doi.org/10.36987/jes.v7i1.1689.

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Each student has different abilities in problem solving, especially in story problems. Haji (1994: 13) suggests that questions that can be used to determine students' abilities in the field of mathematics study can take the form of story problems. The purpose of this research is to describe the ability of students to solve mathematical problems in solving comparative story problems based on Polya's steps. This research is a descriptive study using a qualitative approach. Three (3) subjects were taken from students of class VIIA at SMP Negeri 1 Wamena consisting of one high ability student, one

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Wahab A, Abdul, Dadan Dasari, Dadang Juandi, and Syaiful. "The Influence of the Use of Polya's Heuristic Strategies on Students' Mathematical Problem Solving: A Meta Analysis." JOURNAL OF MATHEMATICS LEARNING INNOVATION (JMLI) 3, no. 2 (2024): 156–67. https://doi.org/10.35905/jmlipare.v3i2.10664.

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Mathematics education in Indonesia faces significant challenges, as reflected in the low performance of students in various international assessments. Traditional teaching methods, which are less interactive, are considered one of the key factors contributing to students' low problem-solving abilities in mathematics. This meta-analysis aims to evaluate the impact of Polya's heuristic model on students' mathematical learning outcomes and determine the extent to which this strategy can enhance students' learning abilities compared to conventional teaching methods. The study employs a meta-analyt

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Çıldır, Sema. "Improving the physics problem solving and problem posing skills of prospective physics teachers." SHS Web of Conferences 66 (2019): 01037. http://dx.doi.org/10.1051/shsconf/20196601037.

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This study was conducted with the aim of providing awareness and skill to the prospective physics teachers in the areas problem posing and problem solving. In this study, which was carried out according to qualitative research methods, information was given about problem building and solving approaches, and then the process of transforming this knowledge into skills was examined. To this end, the prospective teachers were asked to solve at least two physics problems according to the Polya's problem solving steps and explain each step they applied in detail. In the same manner, they were asked

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Muhassanah, Nur'aini, and Ana Setiani. "Analysis of student errors based on Polya’s steps in three-dimensional geometry." Union: Jurnal Ilmiah Pendidikan Matematika 12, no. 2 (2024): 340–49. http://dx.doi.org/10.30738/union.v12i2.17575.

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Students often experience difficulties in learning mathematics, particularly in solving word problems. Consequently, students make many errors when answering story questions in mathematics. The aim of this research is to describe students' mistakes according to Polya's theory in solving story problems on three-dimensional geometry materials. Student mistakes identified in Polya's theory include: understanding the problem, planning a solution, implementing the solution plan, and re-examining the obtained solution. The research method used is descriptive qualitative. The technique used is an int

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Ramalia, Tryza, Effie Efrida Muchlis, Edi Susanto, and Aw Yoke Cheng. "Exploration of Students' Abilities in Solving Mathematical Literacy Problems on Geometry Material Using Polya's Steps." International Journal of Geometry Research and Inventions in Education (Gradient) 1, no. 2 (2024): 83–93. https://doi.org/10.56855/gradient.v1i2.1269.

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Students face challenges in understanding the minimum competency assessment (AKM) mathematical literacy questions, as they struggle to interpret and solve the problems effectively. This difficulty stems from their low comprehension of the questions and limited problem-solving skills, particularly when confronted with questions differing from the examples provided by the teacher. This study investigates students’ abilities to solve AKM mathematical literacy questions using Polya’s problem-solving steps. The research is descriptive with a qualitative approach, involving a population of all Grade

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9

M’hamed, Sbaa Mohammed et El aydi, Yadir Said, and Radi Bouchaib. "Resolution Des Problemes Mathematiques En Formation Et Applications." European Scientific Journal, ESJ 13, no. 24 (2017): 389. http://dx.doi.org/10.19044/esj.2017.v13n24p389.

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Mathematics occupies a privileged place in the educational system. It is one of the main disciplines in a learner's school life that allows him to develop problem-solving strategies and different learning abilities. Indeed, it is very important to make the learner to become active in the learning process of Mathematics. As a result, problem solving has become a crucial aspect. It helps the learner in the development of strategies for problem solving. Also, the learner must be adaptive to new situations from other disciplines or everyday life. In this study, we used the Georges Polya's "How sol

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Handayani, Ucik Fitri, and Siti Aisyah. "Kesalahan Siswa dalam Menyelesaikan Soal Cerita Sistem Persamaan Linear Tiga Variabel Berdasarkan Prosedur Polya." JURNAL PENELITIAN PENDIDIKAN MATEMATIKA DAN SAINS 8, no. 1 (2024): 22–29. http://dx.doi.org/10.26740/jppms.v8n1.p22-29.

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The objective of this study is to describe students' errors in solving word problems related to the Three-Variable Linear Equation System based on Polya's procedure. The errors identified correspond to various stages of Polya's problem-solving method. This research adopts a descriptive approach with qualitative methods. Data collection involved tests and interviews, with the subjects being 10th-grade students at MA Miftahul Ulum Gondanglegi, East Java, Indonesia. The data analysis technique employed data reduction, presentation, and conclusion drawing. The research findings revealed that there

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Putri, Himawati Parera, Syarifatul Maf'ulah, and Esty Saraswati Nur Hartiningrum. "Analisis Kemampuan Siswa SDN Banjardowo 1 Jombang dalam Memecahkan Masalah Pecahan." Postulat : Jurnal Inovasi Pendidikan Matematika 4, no. 2 (2024): 286. http://dx.doi.org/10.30587/postulat.v4i2.6611.

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The aim of this research is to describe the fraction problem solving abilities of students with high mathematical abilities at SDN Banjardowo 1 Jombang. This research is a qualitative research. The subjects of this research were class V students at SDN Banjardowo Jombang with one subject with high mathematical abilities. Data collection methods are tests and interviews. The research instruments are the researcher himself as the main instrument and test instruments and interviews as supporting instruments. Checking the validity of the data uses time triangulation. The results of this research a

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Busnawir, Busnawir, Mukhsar Mukhsar, Hidayat Ahmad, and Kodirun Kodirun. "MEASUREMENT OF MATHEMATICAL PROBLEM SOLVING ABILITY BASED ON SELF EFFICACY CATEGORIZATION USING MIXED METHODS APPROACH." AKSIOMA: Jurnal Program Studi Pendidikan Matematika 12, no. 2 (2023): 2238. http://dx.doi.org/10.24127/ajpm.v12i2.7212.

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Problem-solving ability is an important part of learning mathematics. The low ability to solve mathematics needs to get attention related to students' self-efficacy. This study aims to determine the level of mathematical problem-solving abilities based on the categorization of students' self-efficacy at high, medium, and low levels. This research was conducted in class XI SMAN 1 Konawe Utara with a total of 37 students as subjects. This type of research is descriptive quantitative and qualitative in the form of a mixed method. The research instrument consisted of tests of mathematical problem-

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Febriana Ma'rifatus Sa'adah, Nita, Vira Amalia Choirun Ni'mah, Hermawan Setia Budi, and Lovika Ardana Riswari. "The Effect of Using Powerpoint Media on The Ability to Solve Mathematical Problems of Flat Shapes." Riemann: Research of Mathematics and Mathematics Education 6, no. 2 (2024): 223–33. http://dx.doi.org/10.38114/6twbwb70.

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This study aims to determine the effect of using Powerpoint media on the ability of fourth-grade students of SDN 2 Singocandi to solve mathematical problems based on Polya's theory. Based on the results of tests and interviews, it appears that student's ability to solve mathematical problems is still lacking. This research uses quantitative methods with a survey research type. The population in this study were fourth-grade students of SDN 2 Singocandi. The sample taken in this study was all students totaling 20 students. The sampling technique was carried out using a saturated sampling techniq

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Maulida, Dini Wardani, Mutiara Hisda Mahmudah, Miftachul Hidayati, and Yulia Maftuhah Hidayati. "Analysis of Procedural Errors in Arithmetic Problem Solving Through Polya Steps." Mathline : Jurnal Matematika dan Pendidikan Matematika 10, no. 1 (2025): 271–85. https://doi.org/10.31943/mathline.v10i1.846.

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Difficulty is the cause of errors, math errors refer to actions or results that do not follow the correct steps or procedures in solving math problems. Therefore, the purpose of this study is to describe procedural errors in solving social arithmetic problems using Polya's steps. In this context, procedural errors refer to mistakes made by students while following the systematic steps recommended by Polya, which include understanding the problem, planning a solution strategy, carrying out the plan, and reviewing the results. This study aims to identify where and how errors occur at each of the

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Andira, Ayu, Muhammad Darwis M, and Haerul Syam. "Exploring of Students' Ability to Solve Geometry Problems Based on Van Hiele's Level of Thinking." ETDC: Indonesian Journal of Research and Educational Review 1, no. 2 (2022): 192–200. http://dx.doi.org/10.51574/ijrer.v1i2.181.

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Based on Van Hiele's level of thinking, this study intends to investigate students' ability to solve geometric problems. Polya's heuristic of problem-solving steps is used to assess problem-solving ability. A qualitative, descriptive study is the form of research used in this case. The Van Hiele Geometry Test (VHGT), problem-solving aptitude assessments, and interviews were used. Based on Van Hiele's level of thinking, researchers chose three students from a group of 27 students in grade VIII high junior school Terpadu Sheikh Muhammad Ja'far as research subjects. Data collection methods includ

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Yulviyana, Yulviyana, Baharuddin Paloloang, and Dasa Ismaimuza. "PROFIL PEMECAHAN MASALAH SISWA SMP NEGERI 1 PALASA DALAM MENYELESAIKAN SOAL PROGRAMME FOR INTERNATIONAL STUDENT ASSESSMENT (PISA) KONTEN QUANTITY." Jurnal Elektronik Pendidikan Matematika Tadulako 12, no. 3 (2025): 235–46. https://doi.org/10.22487/jepmt.v12i3.2872.

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The purpose of this research is to identify the problem-solving profile of junior high school students as they solve PISA problems with a quantity content. The type of this Research is descriptive research with qualitative approach. There were two students in this research as subject, both having high and medium ability levels. Data were collected by test and interview methods. Problem solving in this research refers to Polya's problem solving steps. The results of the research show: (1) At the step of understanding the problem, students with high and medium ability levels can identify things

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Patiño, Jr. Joel C. "STUDENTS' LEVEL OF PROCEDURAL FLUENCY AND DIFFICULTIES IN COLLEGE ALGEBRA: A FLEXIBLE LEARNING SET-UP." GUILD OF EDUCATORS IN TESOL INTERNATIONAL RESEARCH JOURNAL 1, no. 2 (2023): 160–67. https://doi.org/10.5281/zenodo.8031582.

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Various changes and advances have taken place in the ways of teaching and learning. With the encountered global pandemic crisis, flexible learning has been practiced particularly in state universities and colleges. This study sought to determine the level of procedural fluency in College Algebra as well as the difficulties and interventions applied by tertiary students of Cotabato State University (CSU) in the flexible learning set-up. The period covered by the study was during the first semester of the school year 2021-2022. The respondents were a sample of 30 first-year mathematics major stu

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Fuadi, Anis, Syarifuddin Syarifuddin, and Fitriani Fitriani. "Analisis Kemampuan Pemecahan Masalah Matematika Siswa dalam Menyelesaikan Soal Trigometri." Pedagogy: Journal of Multidisciplinary Education 1, no. 2 (2024): 48–59. https://doi.org/10.61220/pedagogy.v1i2.247.

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This study aims to describe the mathematical problem-solving abilities of Grade 10 students at SMA Negeri 10 Sinjai in solving trigonometry problems. This research is qualitative with a descriptive approach. The subjects of this study were three Grade 10 students from SMA Negeri 10 Sinjai, selected based on their problem-solving abilities categorized as high, medium, and low after administering a prior problem-solving ability test. Therefore, the selection of research subjects was conducted purposively. The data collection methods used were tests and interviews. The test employed was a Problem

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Fitrieyah, Imamah Dien, and Anouar Ben Mabrouk. "Analysis of Student's Difficulty in Solving Mathematical Problems in Linear Programs." Journal of Teaching and Learning Mathematics 2, no. 1 (2024): 37–43. http://dx.doi.org/10.22219/jtlm.v2i1.33680.

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This research aims to analyze students' difficulties in solving mathematical problems on linear programming material using qualitative descriptive methods based on the Polya heuristic. This research involved students with high, medium, and low abilities through analysis of written tests and student interviews. Data was collected from 30 class XI students at SMA X using specially designed written tests and in-depth interviews. Data analysis was carried out using thematic analysis techniques. The research results show that students with high abilities do not experience difficulties in working on

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Suharti, Suharti, Fitriani Nur, and Bahrul Alim. "Polya Steps for Analyzing Errors in Mathematical Problem Solving." AL-ISHLAH: Jurnal Pendidikan 13, no. 1 (2021): 741–48. http://dx.doi.org/10.35445/alishlah.v13i1.570.

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This research aims to ascertain the proportion of mistakes made by students while solving comparative and social arithmetic problems. This study falls under the category of qualitative descriptive research. Twenty-six students from class VII.6 were used as study participants. Data were gathered via interviews and administering exams. The analytical framework was derived from Polya's classification of errors. The findings of this research show that type of mistake. According to this research, mistakes in evaluating responses (fourth phase) are more prevalent than other types of errors. The four

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Ainanda, Dimas Agung, Muhammad Thamrin Hidayat, Sri Hartatik, and Nafiah Nafiah. "PENGARUH PEMBELAJARAN NUMERASI TERHADAP KEMAMPUAN MENYELESAIKAN MASALAH MATEMATIKA SISWA KELAS IV SDN RUNGKUT MENANGGAL I SURABAYA." NUSRA: Jurnal Penelitian dan Ilmu Pendidikan 4, no. 3 (2023): 440–49. http://dx.doi.org/10.55681/nusra.v4i3.1244.

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The purpose of this study is to analyze the effect of learning numeracy on the ability to solve mathematical problems. Polya's problem solving steps consist of understanding the problem, planning a solution, carrying out a solution plan, and checking again. This type of research is to use quantitative research methods and use pretest and posttest data collection techniques. The population in this study were fourth grade students at Rungkut Menggal I Elementary School in Surabaya, totaling 30 students. The result of this research is that there is a difference in the effect of learning mathemati

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Yuwono, Timbul, Everista Gema Londar, and Vivi Suwanti. "Analisis Kemampuan Koneksi Matematika dalam Pemecahan Masalah Segitiga." JRPM (Jurnal Review Pembelajaran Matematika) 5, no. 2 (2020): 111–23. http://dx.doi.org/10.15642/jrpm.2020.5.2.111-123.

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This study aims to describe the mathematical connection ability of students in the high, medium, and low categories in solving math problems based on Polya's steps. This study used a qualitative approach with descriptive methods carried out in class VII SMP PGRI 06 Malang in the 2019/2020 academic year. The subjects of this study were 22 students of which three students' categorized into high mathematical connection ability, four students categorized into medium mathematical connection ability, and fifteen students categorized into low mathematical connection ability. The results of this study

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Rustam, Faisya Rahayu, Danial Danial, Syarifuddin Syarifuddin, and Fitriani Fitriani. "Analisis Kesulitan Belajar Mahasiswa dalam Menyelesaikan Masalah Matematika ke-MI/SD-an Program Studi Pendidikan Guru Madrasah Ibtidaiyah." JTMT: Journal Tadris Matematika 3, no. 2 (2022): 76–90. http://dx.doi.org/10.47435/jtmt.v3i2.1363.

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This study aims to describe students' learning difficulties in solving math problems for MI/SD based on Polya's problem-solving stages. This research is included in the case study research using a qualitative approach. The subjects of this study were 2 students of the PGMI study program who had studied Mathematics for MI/SD. The data collection methods in this study were tests and interviews, while the data analysis was done by reducing data, presenting data, and drawing conclusions. The results showed that the learning difficulties experienced by RSD and SAT were broadly similar, including: (

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Pramesti, Santika Lya Diah, and Juwita Rini. "Analisis Kemampuan Pemecahan Masalah Peserta didik Berdasarkan Strategi Polya pada Model Pembelajaran Problem Based Learning Berbasis Hands On Activity." Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang 3, no. 2 (2019): 223. http://dx.doi.org/10.31331/medivesveteran.v3i2.768.

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Strategi pembelajaran yang digunakan dalam proses pembelajaran kurang membangun kemampuan pemecahan masalah matematika peserta didik sehingga menyebabkan peserta didik mengalami kesulitan dalam pemecahan masalah matematika. Proses pembelajaran dapat diperbaiki dengan menerapkan model Problem Based Learning. Kegiatan peserta didik dalam model pembelajaran tersebut diharapkan dapat berlangsung optimal manakala dilengkapi dengan hands on activity. Tujuan penelitian ini adalah untuk mengetahui mana yang lebih baik antara kemampuan pemecahan masalah peserta didik pada kelas dengan model pembelajara

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Rohadatul Aisy, Fairuz Aufa, Dinawati Trapsilasiwi, and Susi Setiawani. "Profil Kemampuan Pemecahan Masalah Matematika Siswa berdasarkan Tahapan Polya Ditinjau dari Gaya Kognitif Reflektif Dan Impulsif." Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika (JRPIPM) 5, no. 1 (2022): 33–43. http://dx.doi.org/10.26740/jrpipm.v5n1.p33-43.

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The research objective was to describe the profile of students' mathematical problem solving abilities based on Polya's stages in terms of reflective cognitive style and impulsive cognitive style. This type of research is a qualitative descriptive study. Data collection methods in this study were tests and interviews. The instruments in this study were the MFFT test and problem-solving tests. The subjects in this study were students of class IXD SMP Nuris Jember with 25 students consisting of 6 fast accurate students, 5 slow inaccurate students, 10 reflective students and 4 impulsive students.

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Oghenewede, OVUWORIE, Onoriode, AJAJA, Osawaru Patrick, and KPANGBAN, Emperor. "Effects of Polya’s Problem-Solving, 7E Learning Cycle and Lecture Methods on Physics Students’ Achievement and Retention in Delta State, Nigeria." International Journal of Research and Innovation in Applied Science IX, no. VII (2024): 8–18. http://dx.doi.org/10.51584/ijrias.2024.907002.

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This study looked at how Polya’s problem-solving approach to teaching affected the academic achievement of Physics students in Delta State secondary schools. This study was guided by four research questions and four hypotheses. The pretest, posttest, quasi-experimental design was utilized in this study. Three hundred and eighteen (318) SS II Physics students was the sample size. Three experts validated the Physics Achievement Test (PAT) before it was utilized for data collection. Mean, standard deviation, independent sample t-test and Analysis of covariance (ANCOVA) were used to analyze the ac

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Evans, Atteh, Appoh Andam Emmanuel, and Obeng– Denteh William. "Problem Solving Framework for Mathematics Discipline." Asian Research Journal of Mathematics 4, no. 4 (2017): 1–11. https://doi.org/10.9734/ARJOM/2017/32586.

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This paper identifies a 4-step framework that can be implemented in almost every mathematics lesson and training setting to move learners towards problem solving effectively. This framework which is built upon existing ideas proposed over the years in the mathematics education discipline and best practices concerning cognitive development and effective teaching and learning environment including solved examples provides teachers with very useful guidelines for classroom instruction. Ultimately, this framework can be used to move students towards an active learning environment which is more eff

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Gopinath, Satyaprakash, and Supinda Lertlit. "The Implementation of Polya’s Model in Solving Problem-Questions in Mathematics by Grade 7 Students." Suranaree Journal of Social Science 11, no. 1 (2022): 47–59. http://dx.doi.org/10.55766/ffnz6417.

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This research reports a study of the difficulties the students face in problem solving questions in mathematics and how to tackle it by using George Polya’s four-step problem solving model. The objectives of this research are 1) to develop the solving problem-questions skills in mathematics by using George Polya’s model for grade 7 students, and 2) to evaluate students’ achievements in mathematics on problem solving questions after using Polya’s problem solving model. A mixed of quantitative and qualitative methodologies were conducted in this study. The subjects of this study were a group of

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Oraneto, Modesta Chioma, and Ebele Chinelo Okigbo. "Relative Effectiveness of Polya’s Problem Solving and Algebraic Games Methods on Secondary School Students’ Achievement in Algebra in Onitsha Education Zone." International Journal of Education and Evaluation 9, no. 7 (2023): 127–36. http://dx.doi.org/10.56201/ijee.v9.no7.2023.pg127.136.

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Taamneh, Muntasir A., Javier Díez-Palomar, and Albert Mallart-Solaz. "Examining tenth-grade students’ errors in applying Polya’s problem-solving approach to Pythagorean theorem." Eurasia Journal of Mathematics, Science and Technology Education 20, no. 12 (2024): em2551. https://doi.org/10.29333/ejmste/15707.

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This study uses Polya’s problem-solving strategy to explore student errors and causal factors in Pythagorean theorem problem-solving. The sample was drawn from tenth-grade students at Al Hosn Secondary School in Abu Dhabi, United Arab Emirates in the academic year 2023/2024. Data were collected using two methods: written examinations, as outlined in Polya’s strategy, and interviews with students who committed errors. The research test instrument consists of 3 trigonometric problem-solving. From 30 students of Al Hosn Secondary School, there were 48.9% of data errors, 50% of concept errors, 57.

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Rina, Rina, Sudarman Bennu, and Sukayasa Sukayasa. "Profile of Problem Solving Systems in Linear Equations of Three Variabels of Class X Students in Terms of Mathematical and Gender Anxiety Based in MAN 2 Palu." Jurnal Riset Pendidikan MIPA 4, no. 1 (2020): 25–31. http://dx.doi.org/10.22487/j25490192.2020.v4.i1.pp25-31.

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This research is a qualitative study which aims to obtain a description of the profile of problem solving systems in linear equations of three variables of the Islamic student madrasah in terms of mathematical and gender anxiety based on Polya's steps. The subjects of this study were male and female students of class X who had severe and mild math anxiety. The results of this study are (1) When understanding mathematical problems, the LB subject reads the voice slowly but can still be heard, the whole slowly, many times and often asks, PB subjects read in a rather loud voice, all slowly, many

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Dulger, Zeynep, and Feral Ogan-Bekiroglu. "Examination of the Relationship between Metacognitive Awareness and Problem Solving Strategies." International Journal of Research in Education and Science 10, no. 3 (2024): 595–611. http://dx.doi.org/10.46328/ijres.3454.

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In order to effectively learn physics, students need to be actively involved in problem solving. The purpose of this study was to evaluate the relationship between students’ metacognitive awareness and their problem solving strategies in physics. Conceptual framework was based on Polya’s problem solving strategies and Shraw and Dennison’s metacognitive awareness theory. Correlational design including both quantitative and qualitative data collection methods was carried out for this research. The participants of the research consisted of 30 high school students. Data were collected by using Met

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Nafisah, Khairatun, Muh. Turmuzi, Tabita Wahyu Triutami, and Syahrul Azmi. "Analisis Kemampuan Pemecahan Masalah Matematis Pada Materi Bangun Ruang Sisi Datar Berdasarkan Kemampuan Awal Matematika Siswa." Griya Journal of Mathematics Education and Application 2, no. 3 (2022): 719–31. http://dx.doi.org/10.29303/griya.v2i3.213.

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This study aims to describe the mathematical problem-solving ability of the flat-sided geometry based on the initial mathematical abilities of the IX grade students of SMPN 6 Mataram. This type of research is descriptive qualitative. The research subjects of this study consisted of two students in the categories of high, medium, and low mathematics early abilities. Data collection techniques using test and interview methods. Data analysis techniques are data reduction, data presentation, and conclusion drawing. The results showed (1) 2 students with high early mathematical abilities were able

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Jahudin, Janet, Nyet Moi Siew, and Mad Noor Madjapuni. "THE EFFECT OF THE DIGITAL BAR MODEL WITH POLYA PROBLEM SOLVING INTEGRATION METHOD ON THE ALGEBRA THINKING SKILLS OF FORM FOUR STUDENTS." International Journal of Education, Psychology and Counseling 9, no. 55 (2024): 22–43. https://doi.org/10.35631/ijepc.955002.

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In general, there is still a lack of empirical studies to support the positive effects of digital technology integration methods in problem solving (PS), although there are assertions that these methods improve students' algebraic thinking skills. Therefore, the objective of this study is to evaluate whether the method of integrating the digital bar model in Polya’s problem solving (PPSBM) can improve the skills of Form One students to think algebraically. Ralston's framework, which includes Generalized Arithmetic, Functions, and Modeling in the topic of Linear Equations, serves as the basis f

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Mar’atus Solikhah, Baiduri Baiduri, Arif Hidayatul Khusna,. "The Process of Students' Mathematical Connection in Solving Mathematical Problems in terms of Learning Styles." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 6 (2021): 1451–66. http://dx.doi.org/10.17762/turcomat.v12i6.2684.

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The purpose of this study was to describe the process of students' mathematical connections in solving mathematical problems in terms of learning styles. The type of research used is descriptive research with a qualitative approach. The research subjects were six students consisting of two students who have a visual learning style, two students who have an auditory learning style, and two students who have a kinesthetic learning style. Student learning style data were collected through learning style questionnaires, while student connection process data were collected through mathematical conn

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Ojo, Oluwatoyin Faith. "Effects of two problem solving methods on senior secondary school students’ performance in simultaneous equations in Ekiti State." Advances in Social Sciences Research Journal 6, no. 11 (2019): 155–61. http://dx.doi.org/10.14738/assrj.611.6156.

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Abstract The study investigated the Effects of two Problem Solving Methods on Senior Secondary School Students’ performance in Simultaneous Equations in Ekiti State. The study employed quasi experimental pre-test post-test, control group design. The sample consisted of 302 senior secondary school II students. Multistage sampling procedures were used to select the sample. The instrument used for the study was a test format tagged "Mathematics Performance test (MPT)".The face and content validity of the instrument was ascertained while test retest method was used to ensure the reliability which

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Putri, Vika Amelia, Abdul Aziz, and Iswahyudi Joko Suprayitno. "Development of T-Solve Interactive Learning Media with Polya Approach on Pythagorean Theorem." Juwara: Jurnal Wawasan dan Aksara 5, no. 1 (2025): 81–98. https://doi.org/10.58740/juwara.v5i1.401.

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Mathematics learning in schools is often dominated by conventional methods, resulting in passive student participation and low conceptual understanding, especially in topics such as the Pythagorean Theorem. This study aims to develop and evaluate the effectiveness of “T-SOLVE,” an interactive learning media based on Polya’s problem-solving approach, in enhancing students’ understanding of the Pythagorean Theorem. The research employed a Research and Development (R&D) method using the ADDIE model. The sample consisted of eighth-grade students at SMP Negeri 2 Sumowono. Data were collected th

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LUTFULLIN, M., V. LUTFULLIN, and L. MATYASH. "ANOMALIES IN THE IMPLEMENTATION OF METHODS OF TEACHING MATHEMATICS AND THEIR CONSEQUENCES." Pedagogical Sciences, no. 77 (August 28, 2021): 8–12. http://dx.doi.org/10.33989/2524-2474.2021.77.239274.

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The article deals with the negative trends in the development of school mathematics education in the context of the relationship of inductive and deductive methods of teaching educational material. It is stated that the dominance of deduction in teaching of mathematics in high school and its separation from inductive explanations to students of mathematical concepts, definitions, rules, formulas indicates a complete disregard for pedagogical experience and K.F. Lebedyntsev and D. Polya’s methodical research. The historical causes of excessive application of the deductive method of teaching mat

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Lanting, Lavinia Suvi. "Fostering the Development of Young Students’ Analytical Thinking by use of a Problem-solving Method." Journal of Research in Science, Mathematics and Technology Education 8, SI (2025): 377–401. https://doi.org/10.31756/jrsmte.4117si.

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The analytical thinking level of secondary school students in the Netherlands has been on the decline for the past few years, with grave consequences for the mathematical level of these students, who often struggle later on in their academic careers. In particular, these students showcase underdeveloped basic skills such as critical reading and critical thinking, vital to many subjects in secondary school. Problem-solving methods have been utilised widely across the literature to foster both academic skills and the performance of students. In this research, a problem-solving method, inspired b

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Gardose, Charmagne Kris C., Arlene A. Castillo, and Melvin H. Madroñal. "Comic-Polya Method Integration in Physics: Enhance Students' Conceptual Understanding and Motivation." Indonesian Journal of Education Research (IJoER) 6, no. 1 (2025): 35–44. https://doi.org/10.37251/ijoer.v6i1.1216.

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Purpose of the study: Filipino students' declining science performance calls for innovative instructional methods. This study evaluated the effects of integrating comic-based instruction and the Polya Method in Grade 8 Physics lessons at Opol National Secondary Technical during the 2023–2024 school year. Methodology: Thirty-six students were selected using convenience sampling. Employing a mixed-method approach, this study used a one-group pre-test and post-test design and focus-group discussions for qualitative data. Conceptual understanding and science motivation were assessed over one month

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Baskorowati, Heni. "STUDI KASUS: ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL CERITA MATEMATIKA MATERI SISTEM PERSAMAAN LINEAR TIGA VARIABEL DI SMA NEGERI 1 CERME GRESIK JAWA TIMUR." MATHEdunesa 9, no. 3 (2021): 529–39. http://dx.doi.org/10.26740/mathedunesa.v9n3.p529-539.

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Abstrak Penelitian ini didasari atas banyaknya kesulitan yang dihadapi siswa dalam mengerjakan soal cerita matematika menyebabkan terjadinya kesalahan. Kesalahan siswa harus segera dipecahkan agar tidak terulang dan mempengaruhi hasil belajar. Pemecahan ini dapat dilakukan dengan cara mengetahui dimana letak kesalahan yang terjadi, jenis kesalahan yang dilakukan dan faktor penyebabnya. Penelitian ini menggunakan metode deskriptif-kualitatif. Penelitian ini bertujuan untuk menganalisis letak dan jenis kesalahan serta faktor yang menyebabkan kesalahan yang dilakukan siswa menggunakan tahap

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Lim, Gahyun, and Yongtae Kim. "A Study of the Project-Based Learning Methods for Reinventing Ideas of Mathematician via the Strategy of Polya’s Problem Solving." Institute of Brain-based Education, Korea National University of Education 8, no. 3 (2018): 117–35. http://dx.doi.org/10.31216/bdl.2018.8.3.117.

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Supratman, Supratman, Ketut I. Budayasa, and Endah B. Rahaju. "Probability problem-solving: the role of probabilistic thinking of undergraduate mathematics education students with feminine female gender and field independent cognitive style." Perspectives of science and Education 74, no. 2 (2025): 228–42. https://doi.org/10.32744/pse.2025.2.15.

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Introduction. Problem-solving involves tackling non-routine tasks without prior knowledge of the necessary schemes or algorithms, making it a key focus in mathematics education, particularly in probability. Cognitive differences, including those between male and female students, can influence behaviors and outcomes, highlighting the need to develop students' thinking potential. This study explores the role of probabilistic thinking and the Field-Independent cognitive style in female undergraduate mathematics students' probability problem-solving. It aims to support mathematics education by hel

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Kawiak, Ewelina. "Евристичний метод Г. Поля в оцінці педагогів дошкільної освіти". Journal of Vasyl Stefanyk Precarpathian National University 11, № 1 (2024): 103–10. http://dx.doi.org/10.15330/jpnu.11.1.103-110.

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The proposed text discusses the issue of teaching mathematics at the first educational stage. Effective mathematics education is crucial for developing thinking skills and dealing with problem solving in everyday life. Pedagogical practice shows that problem-based methods are one of the most effective methods of teaching this subject. Taking into account the educational value of problem-based teaching methods, the heuristic method of G. Polya was particularly emphasized in the text. The method, created by a Hungarian scientist, is used to solve tasks. Solving problems, in turn, is one of the m

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Sumarni, Sumarni, Nuranita Adiastuty, and Mohamad Riyadi. "KEMAMPUAN PEMECAHAN MASALAH NON RUTIN MAHASISWA PADA TOPIK SEGIEMPAT." AKSIOMA: Jurnal Program Studi Pendidikan Matematika 11, no. 1 (2022): 563. http://dx.doi.org/10.24127/ajpm.v11i1.4594.

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Pemecahan masalah non-rutin merupakan salah satu aspek dari pengetahuan konten matematika yang harus dimiliki oleh calon guru matematika (MCGM). Tujuan penelitian ini bertujuan untuk menganalisis kemampuan pemecahan masalah non-rutin dari MCGM pada topik segiempat berdasarkan kategori nilai mata kuliah geometri. Metode penelitian menggunakan kualitatif deskriptif dengan pendekatan studi kasus dilakukan pada 10 MCGM yang merupakan mahasiswa semester 8 yang akan melaksanakan tugas akhir penelitian (skripsi) topik segiempat, pada salah satu universitas swasta di Jawa Barat. Instrumen yang digunak

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Roble, Dennis B., Laila S. Lomibao, and Charita A. Luna. "Developing Students' Creative Constructs in Mathematics with Problem-Based (PB) and Problem Posing (PP) Tasks." Canadian Journal of Family and Youth / Le Journal Canadien de Famille et de la Jeunesse 13, no. 2 (2021): 82–94. http://dx.doi.org/10.29173/cjfy29672.

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The purpose of this experimental study was to examine the creative constructs of students enrolled in Differential Calculus at the University of Science and Technology of Southern Philippines, Cagayan de Oro City, Philippines. This study was composed of 132 engineering and mathematics education students enrolled in two different semesters. The experimental group was chosen randomly, exposed to the problem-based HALP model teaching approach and problem posing while the control group was taught using Polya’s problem-solving heuristics. Multiple Solution Tasks (MST) test in Calculus was administe

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Rosiyanti, Hastri, Dyah Ayu Ratnaningsih, Herwina Bahar, Is wan, and Fai sal. "Application of Mathematical Problem Solving Sheets in Polya's Learning Strategy in Social Arithmetic Material." International Journal of Early Childhood Special Education 13, no. 2 (2021): 707–17. http://dx.doi.org/10.9756/int-jecse/v13i2.211111.

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This research is motivated by the students 'mathematical problem solving ability is still low, because mathematics learning in the classroom is not built to hone problem solving skills and the student worksheets used do not help students in honing students' mathematical problem solving skills, so the writer applies Polya's learning strategy with the help of problem solving sheet on social arithmetic material. This study aims to describe the steps of implementing Polya's learning strategy with the help of problem solving sheets in solving mathematical problems in social arithmetic material and

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Hidayah, Siti Lilpatul Nurul Nur, and Lydia Lia Prayitno. "Analisis Kemampuan Pemecahan Masalah Word Problem PLSV." Jurnal Tadris Matematika 6, no. 1 (2023): 67–84. http://dx.doi.org/10.21274/jtm.2023.6.1.67-84.

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Problem-solving ability is a primary skill students should acquire in learning mathematics and is often connected to Adversity Quotient (AQ). This qualitative descriptive study describes the ability to solve PLSV problems regarding AQ (climbers, campers, and quitters) in 7th-grade students of SMP Negeri 21 Surabaya. Data were collected through questionnaires, tests, and interviews using instruments such as the AQ questionnaire sheet, Word Problem Solving Test (TPWP), questionnaires, and interview guidelines. The problem-solving ability in this study refers to the four stages of Polya's problem

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Saleh, Sitti Fithriani, Sirajuddin, Ernawati, and Nurhikma Damayanti. "ANALYSIS OF STUDENTS' MATHEMATICAL ABILITY IN SOLVING FRACTION PROBLEMS AT ELEMENTARY SCHOOL LEVEL." AULADUNA: Jurnal Pendidikan Dasar Islam 10, no. 1 (2023): 116–25. http://dx.doi.org/10.24252/10.24252/auladuna.v10i1a9.2023.

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Abstract This research is qualitative research with a case study approach. This study aims to describe the level of students' problem-solving in fraction operations. The subjects of this study were three students of SDN 70 Manjalling who had low, moderate, and high abilities in solving fractions. Data were collected through written tests and individual interviews to obtain valid information. The results showed that students with high problem-solving abilities were able to apply all of Polya's problem-solving steps. Students with moderate problem-solving abilities could not do all of Poly

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Bernard, Bernard, Nurwati Djam’an, and Indah Sari. "Analisis Kemampuan Pemecahan Masalah Matematika Siswa Berbasis Jumping Task pada Materi Program Linear." Issues in Mathematics Education (IMED) 8, no. 2 (2024): 207–26. https://doi.org/10.35580/imed.v8i2.4280.

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This research is a qualitative research using descriptive research method which aims to explain or describe students' mathematical problem solving abilities in solving questions based on jumping tasks based on students' self-efficacy. The subjects of this study were 3 (three) students from class XI. Data collection techniques in this study were tests, questionnaires and interviews. The instruments used to obtain data were self-efficacy questionnaires, test questions (jumping task-based math problems), and interview guidelines. Data analysis techniques in this study include data condensation, d

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