Problem Solving Ability: Strategy Analysis of Working Backwards Based on Polya Steps for Middle School Students YALC Pasuruan

M Ruskhan Fauza, Siti Inganah, Rani Darmayanti, Bhaskoro Prasetyo Adi Maryanto, Adrina Lony

Abstract


The purpose of this study was to analyze students' mathematics problem-solving abilities based on Polya's procedure. This may improve the math problem-solving abilities of Class VIII SMP YALC Pasuruan students. Research data were obtained from the analysis of student answer sheets, observation sheets, and student activity sheets based on indicators of problem-solving ability. This type of study has a quasi-experimental design with a pre-test and post-test design. A t-test was performed to check for improvements in each aspect of student problem-solving skills and all aspects of math problem-solving skills. The main finding of this study is that students' problem-solving ability in mathematics based on Polya's procedure outperforms students' problem-solving ability with regular learning


Keywords


problem-solving skills, backward working strategies; Polya steps; ordinary learning

Full Text:

PDF

References


Ahdhianto, E., Marsigit, Haryanto, & Nurfauzi, Y. (2020). Improving fifth-grade students’ mathematical problem-solving and critical thinking skills using problem-based learning. Universal Journal of Educational Research, 8(5). https://doi.org/10.13189/ujer.2020.080539

Amam, A. (2017). Penilaian Kemampuan Pemecahan Masalah Matematis Siswa Smp. Teorema, 2(1), 39. https://doi.org/10.25157/.v2i1.765

Apriliani, L. R., Suyitno, H., & Rochmad. (2016). Analyze of Mathematical Creative Thinking Ability Based On Math Anxiety in Creative Problem Solving Model with SCAMPER Technique. International Conference on Mathematics, Science, and Education 2016 (ICMMSE 2016), 2016(Icmse).

Artika, T., & Karso. (2019). Meningkatkan Kemampuan Pemecahan Masalah Matematis Siswa Dengan Menggunakan Metode Pembelajaran Thinking Aloud Pair Problem Solving (Tapps). Jurnal Prisma, 8(2).

Asmara, A., Sahono, ; Bambang, Alexon, ;, & Rosane, ; (2021). The Ability of Student’ Math Literation on Learning Model Problem-Based Learning (PBL). International Journal of Multicultural and Multireligious Understanding (IJMMU), 8(11).

Astutiningtyas, E. L., & Wulandari, A. A. (2014). Profil Proses Berfikir Pada Pemecahan Masalah Metakognitif Mahasiswa. Prosiding Seminar Nasional Pendidikan, November, 34–43.

Darmayanti, R., & Sugianto, R. (2022). Digital comic learning media based on character values on students’ critical thinking in solving mathematical problems in terms of learning styles. In Jurnal Pendidikan Matematika (Vol. 13, Issue 1). http://ejournal.radenintan.ac.id/index.php/al-jabar/index

Darmayanti, R., Sugianto, R., & Muhammad, Y. (2022). Numerical: Jurnal Matematika dan Pendidikan Matematika Analysis of Students’ Adaptive Reasoning Ability in Solving HOTS Problems Arithmetic Sequences and Series in Terms of Learning Style. Numerical: Jurnal Matematika Dan Pendidikan Matematika, 6(1), 75–92. https://doi.org/10.25217/numerical.v6i1

Desriyanti, Y. (2014). The effect of the thinking aloud pair problem solving (TAPPS) learning method on students’ mathematical adaptive reasoning abilities. Skripsi: Tidak Dipublikasikan. UIN Syarif Hidayatullah Jakarta.

Elsayed, G., & ElSamanoudy, A. (2012). Solving A Community Problem (Residential Small Spaces) Through Interior Design Students Researches - An Instructor Experience. In Inted2012: International Technology, Education and Development Conference.

Enlow, M., & Özgün-Koca, S. A. (2020). GPS: Working Backward with Data. Mathematics Teacher: Learning and Teaching PK-12, 113(3). https://doi.org/10.5951/mtlt.2019.0373

Fadella, E. F., Sugiarto, & Prabowo, A. (2018). Keefektifan Problem-Based Learning Berbantuan Komik Matematika terhadap Kemampuan Pemecahan Masalah dan Rasa Ingin Tahu. PRISMA (Prosiding Seminar Nasional Matematika), 1, 77–86.

Güner, P., & Erbay, H. N. (2021). Prospective mathematics teachers’ thinking styles and problem-solving skills. Thinking Skills and Creativity, 40. https://doi.org/10.1016/j.tsc.2021.100827

Herzon, H. H., Budijanto, B., & Utomo, D. H. (2018). Pengaruh Problem-Based Learning (PBL) terhadap Keterampilan Berpikir Kritis. Jurnal Pendidikan: Teori, Penelitian, Dan Pengembangan, 3(1).

Ho, M. K., Littman, M. L., & Austerweil, J. L. (2017). Teaching by intervention: Working backwards, undoing mistakes, or correcting mistakes? Proceedings of the Annual Conference of the Cognitive Science Society.

Hobri, Widyasari, N. K., & Murtikusuma, R. P. (2020). Analisis Pemecahan Masalah Siswa SMA Dalam Menyelesaikan Masalah Jumping Task Pada Materi Barisan Dan Deret Aritmetika. Jurnal Pendidikan Matematika, 6(2).

Manalu, R., Napitupulu, E. E., Manullang, M., Simanjuntak, D., & H. Sinambela, J. (2018). The Difference of Mathematical Problem Solving Ability through the Scientific Approach and the Scientific Approach Assisted by Software Autograph. American Journal of Educational Research, 6(12). https://doi.org/10.12691/education-6-12-16

Masfingatin, T., Murtafiah, W., & Maharani, S. (2020). Exploration of Creative Mathematical Reasoning in Solving Geometric Problems. Jurnal Pendidikan Matematika, 14(2), 155–168. https://doi.org/10.22342/jpm.14.2.7654.155-168

Meryansumayeka, M., Zulkardi, Z., Putri, R. I. I., & Hiltrimartin, C. (2021). Students’ Strategies in Solving PISA Mathematical Problems Reviewed from Problem-Solving Strategies. Jurnal Pendidikan Matematika, 15(1), 37–48. https://doi.org/10.22342/jpm.15.1.10405.37-48

NCTM. (2000). Principles and Standards for School Mathematics. Reston, Virginia. The Arithmetic Teacher. https://doi.org/10.5951/at.29.5.0059

Nelson, L. M. (2013). Collaborative problem solving. Instructional-Design Theories and Models: A New Paradigm of Instructional Theory, 2, 241–267. https://doi.org/10.4324/9781410603784-17

Oktaviyanthi, R., & Agus, R. N. (2019). Eksplorasi Kemampuan Pemecahan Masalah Berdasarkan Kategori Proses Literasi Matematis. Jurnal Pendidikan Matematika, 13(2), 163–184. https://doi.org/10.22342/jpm.13.2.7066.163-184

Polya, G. (1973). How to Solve It. New Jersey: Princeton University Press.

Pujiastuti, W. C. (2020). Anallisis Kemampuan Pemecahan Masalah Matematika Ditinjau Dari Gender. Jurnal Matematika Kreatif Inovatif Kreano, 11(1), 110–117.

Rahmawati, M., Kurniati, D., Trapsilasiwi, D., Osman, S., & Jember, U. (2021). The Students’ Truth-Seeking Behaviour in Solving the Problems With No Specified Universal Set Based on IDEAL Problem Solving. Jurnal Matematika Kreatif Inovatif Kreano, 12(2), 302–311.

Ramful, A. (2015). Reversible reasoning and the working backwards problem solving strategy. Australian Mathematics Teacher, 71(4).

Sari, D. P., Fiantika, F. R., & Pd, M. (2018). Students Algebraic Thinking Processes in Mathematics Problem Solving at Low Mathematic Ability Student Based on Quantitative Reasoning Ability. Edumatika Jurnal Riset Pendidikan Matematika, 1(November), 29–35.

Surya, E., & Syahputra, E. (2017). Analysis of Student Mathematical Problem Solving Skills At Budi Analysis Mathematical Communication Skills Student At the Grade. Ijariie, 3(February).

Utami, C. T. P., Mardiyana, & Triyanto. (2019). Profile of students’ mathematical representation ability in solving geometry problems. IOP Conference Series: Earth and Environmental Science, 243(1). https://doi.org/10.1088/1755-1315/243/1/012123

Wahyudi, wahyudi, & Anugraheni, I. (2017). Strategi Pemecahan Masalah Matematika (1st ed.). Satya Wacana University Press .

Wiska, A., Tanjung, H. S., Rahman, A. A., & Nasryah, C. E. (2020). Pengembangan Bahan Ajar Berbasis Masalah Terintegrasi Etnomatematika Untuk Meningkatkan Kemampuan Pemecahan Masalah Siswa Kelas XI SMA. Edunesia : Jurnal Ilmiah Pendidikan, 1(3). https://doi.org/10.51276/edu.v1i3.49

Yew, W. T., Lian, L. H., & Meng, C. C. (2017). Problem Solving Strategies among Primary School Teachers. Journal of Education and Practice, 8(15).

Zulyadaini. (2017). Effects of Creative Problem Solving Learning Model on Mathematical Problem Solving Skills of Senior High School Students. IOSR Journal of Research & Method in Education, 7(3).


Article Metrics

Abstract has been read : 718 times
PDF file viewed/downloaded: 0 times


DOI: http://doi.org/10.25273/jems.v10i2.13338

Refbacks

  • There are currently no refbacks.


Copyright (c) 2022 JEMS: Jurnal Edukasi Matematika dan Sains

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Jurnal Eduaksi Matematika dan Sains (JEMS) terindeks oleh :

 

 


 

 

View JEMS Stats