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Education And Language
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Integrating Realistic Mathematics Education with Think Pair Share to Enhance Problem-Solving Ability and Mathematical Beliefs in Integer Learning

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DOI: 10.18535/ijsrm/v13i03.m02· Pages: 600-610· Vol. 13, No. 03, (2025)· Published: March 17, 2025
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Abstract

Integer is fundamental materials in mathematics learning. In addition to mastering basic materials, problem-solving ability and mathematical beliefs are important factors in mathematics learning. An effective learning strategy is necessary to enhance mathematical belief and problem-solving ability. This study aims to analyze the effectiveness of integrating Realistic Mathematics Education with Think Pair Share on problem-solving ability and mathematical beliefs in learning about integers. A Quasi-experimental study with a pretest-posttest control group design was conducted on 67 seventh-grade students randomly selected in Indonesia. Data collection for problem-solving ability utilized an essay test with 5 items, while for mathematical beliefs, a questionnaire of 24 statements with 4 answer choices was used. The results generalized that integrating Realistic Mathematics Education with Think Pair Share effectively enhances problem-solving ability and mathematical beliefs. The design of learning activities encouraged students to actively explore problems and interact to understand integer concepts. Developing various imaginable context based on Realistic Mathematics Education tenets is crucial to bridge the mathematics learning process.

Keywords

integermathematical beliefsproblem solvingrealistic mathematics educationthink pair share

References

  1. Adams, D., & Hamm, M. (2010). Demystify math, science, and technology: creativity, innovation, and problem-solving. Rowman and Littlefield Education.Google Scholar ↗
  2. Afthina, H., Mardiyana, & Pramudya, I. (2017). Think pair share using realistic mathematics education approach in geometry learning. Journal of Physics: Conference Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012025DOI ↗Google Scholar ↗
  3. Agustina, T. R., Kismiantini, & Radite, R. (2024). The effect of mathematical problem-solving ability and mathematics self-concept on learning achievement. Jurnal Riset Pendidikan Matematika, 11(1), 27–40. https://doi.org/10.21831/jrpm.v11i1.73046DOI ↗Google Scholar ↗
  4. Anderson, L. W., & Krathwohl, D. R. (2001). A taxonomy for learning, teaching, and assessing: A revision of Bloom’s taxonomy of educational objectives. Addison Wesley Longman.Google Scholar ↗
  5. Ardiyani, S. M. (2018). Realistic mathematics education in cooperative learning viewed from learning activity. Journal on Mathematics Education, 9(2), 301–310. https://eric.ed.gov/?id=EJ1194281Google Scholar ↗
  6. Arends, R. I. (2015). Learning to teach (10th ed.). McGraw-Hill Education.Google Scholar ↗
  7. Asria, V. Z. (2019). Improving concept comprehension ability in mathematics by using mathematical model: Think-pair-share approach. Journal of Physics: Conference Series, 1402(7). https://doi.org/10.1088/1742-6596/1402/7/077083DOI ↗Google Scholar ↗
  8. Azwar, S. (2016). Penyusunan skala psikologi. Pustaka Pelajar.Google Scholar ↗
  9. Barnes, H. (2005). The theory of realistic mathematics education as a theoretical framework for teaching low attainers in mathematics. Pythagoras, 61, 42–57. https://doi.org/10.10520/EJC20851DOI ↗Google Scholar ↗
  10. Bishop, J., Lamb, L., Philipp, R., Schappelle, B., & Whitacre, I. (2011). First graders outwit a famous mathematician. Teaching Children Mathematics, 17, 350–358. https://doi.org/10.2307/41199692DOI ↗Google Scholar ↗
  11. Boaler, J. (2016). Mathematical mindsets: Unleashing students’ potential through creative math, inspiring messages and innovative teaching. Jossey-Bass.Google Scholar ↗
  12. Farida, F., Hartatiana, H., & Joemsittiprasert, W. (2014). The use of realistic mathematics education (RME) in improving mathematical analogical ability and habits of mind. Al-Jabar : Jurnal Pendidikan Matematika, 10(2), 175–186. https://doi.org/10.24042/ajpm.v10i2.3540DOI ↗Google Scholar ↗
  13. Fauzan, A. (1996). Applying Realistic Mathematics Education (RME) in teaching geometry in Indonesian primary schools [University of Twente]. https://research.utwente.nl/en/publications/applying-realistic-mathematics-education-rme-in-teaching-geometryGoogle Scholar ↗
  14. Fennema, E., & Romberg, T. A. (1999). Mathematics classrooms that promote understanding. Lawrence Erlbaum Associates, Inc., Publishers.Google Scholar ↗
  15. Francome, T., & Hewitt, D. (2020). My math lessons are all about learning from your mistakes”: how mixed-attainment mathematics grouping affects the way students experience mathematics. Educational Review, 72(4), 475–494. https://doi.org/10.1080/00131911.2018.1513908DOI ↗Google Scholar ↗
  16. Freudenthal, H. (2002). Didactical phenomenology on mathematical structures. Kluwer Academic Publisher.Google Scholar ↗
  17. Gagne, R. M., Wager, W. W., Golas, K. C., Keller, J. M., & Russell, J. D. (2005). Principles of instructional design. Wiley Online Library.Google Scholar ↗
  18. Gravemeijer, K. P. E. (1994). Developing realistic mathematics education [CD-ß Press/Freudenthal Institute]. https://research.tue.nl/en/publications/developing-realistic-mathematics-educationGoogle Scholar ↗
  19. Gravemeijer, K. P. E., & Doorman, M. (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39(1), 111–129. https://doi.org/10.1023/A:1003749919816DOI ↗Google Scholar ↗
  20. Gravemeijer, K. P. E., & Terwel, J. (2000). Hans Freudenthal a mathematician on didactics and curriculum theory. Journal of Curriculum Studies, 32(6), 777–796. https://doi.org/10.1080/00220270050167170DOI ↗Google Scholar ↗
  21. Hakim, T. A., & Setyaningrum, W. (2024). Realistic mathematics education combined with guided discovery for improving middle school students’ statistical literacy. Journal of Honai Math, 7(2), 233–246. https://journalfkipunipa.org/index.php/jhm/article/view/564Google Scholar ↗
  22. Hayati, N. (2022). Implementation of the think-pair-share learning model based on RME in an effort to increase achievement for Class VII D SMPN 2 Kumai. Anterior Jurnal, 22(Special-1), 101–104. https://doi.org/10.33084/anterior.v22iSpecial-1.3224DOI ↗Google Scholar ↗
  23. Hidayat, R., & Iksan, Z. H. (2015). The Effect of Realistic Mathematic Education on Students’ Conceptual Understanding of Linear Progamming. Creative Education, 06(22), 2438–2445. https://doi.org/10.4236/ce.2015.622251DOI ↗Google Scholar ↗
  24. Husna, A., Mailizar, M., Elizar, E., Maidiyah, E., Suryawati, & Lacia, M. R. (2024). Students’ ability in solving TIMSS problems through realistic mathematics education. The 2nd Annual International Conference on Mathematics, Science and Technology Education (AICMSTE 2023). https://doi.org/10.2991/978-2-38476-216-3_2DOI ↗Google Scholar ↗
  25. Inci, A. M., Peker, B., & Kucukgencay, N. (2023). Realistic mathematics education. In O. Cardak & S. A. Kiray (Eds.), Current Studies in Educational Disciplines (pp. 66–83). ISRES Publishing.Google Scholar ↗
  26. Kloosterman, P., Raymond, A. M., & Emenaker, C. (1996). Students’ beliefs about mathematics: A three-year study. The Elementary School Journal, 97(1), 39–56. https://doi.org/10.1086/461848DOI ↗Google Scholar ↗
  27. Kothiyal, A., Majumdar, R., Murthy, S., & Iyer, S. (2013). Effect of think-pair-share in a large CS1 class. August, 137–144. https://doi.org/10.1145/2493394.2493408DOI ↗Google Scholar ↗
  28. Krulik, S., & Rudnick, J. A. (1988). Problem solving: A handbook for elementary school teachers (1st ed.). Allyn & Bacon.Google Scholar ↗
  29. Langford, P. E. (2005). Vigotsky’s developmental and educational psychology. Psychology Press.Google Scholar ↗
  30. Larsen, J. (2012). Epistemological obstacles of negative numbers. Vector: The Official Journal of the BC Association of Mathematics Teachers, 53, 56–60. https://www.researchgate.net/publication/274310485_Epistemological_Obstacles_of_Negative_NumbersGoogle Scholar ↗
  31. Layali, N. K., & Masri, M. (2020). Kemampuan pemecahan masalah matematis melalui model treffinger di SMA. Jurnal Pendidikan Matematika Raflesia, 5(2), 137–144. https://ejournal.unib.ac.id/jpmr/article/view/11448Google Scholar ↗
  32. Mahdiansyah, M., & Rahmawati, R. (2014). Literasi matematika siswa pendidikan menengah: Analisis menggunakan desain tes internasional dengan konteks Indonesia. Jurnal Pendidikan Dan Kebudayaan, 20(4), 452–469. https://doi.org/10.24832/jpnk.v20i4.158DOI ↗Google Scholar ↗
  33. Manaf, L. I. A., Wutsqa, D. U., & Radite, R. (2024). Effectiveness of scaffolding technique in scientific learning model on students mathematics critical thinking skills and self-regulated learning. Al-Islah: Jurnal Pendidikan, 16(4), 5831–5843. https://doi.org/10.35445/alishlah.v16i4.5862DOI ↗Google Scholar ↗
  34. Marpaung, I., Arnita, A., & Fauzi, K. M. A. (2024). Development of student worksheets based on a realistic mathematics learning approach to improve problem solving ability and self-efficacy. The 5th International Conference on Science and Technology Applications, ICoSTA 2023. https://doi.org/10.4108/eai.2-11-2023.2343263DOI ↗Google Scholar ↗
  35. Mason, L., & Scrivani, L. (2004). Enhancing students’ mathematical beliefs: an intervention study. Learning and Instruction, 14(2), 153–176. https://doi.org/10.1016/j.learninstruc.2004.01.002DOI ↗Google Scholar ↗
  36. Mendikbudristek. (2022). Permendikbudristek Nomor 05 tentang Standar Kompetensi Lulusan Pada Pendidikan Anak Usia Dini, Jenjang Pendidikan Dasar, dan Jenjang Pendidikan Menengah. Biro Hukum Kemdikbudristek.Google Scholar ↗
  37. Monica, H., Kesumawati, N., & Septiati, E. (2019). Pengaruh model problem based learning terhadap kemampuan pemecahan masalah matematis dan keyakinan matematis siswa. Mapan: Jurnal Matematika Dan Pembelajaran, 7(1), 155–166. https://doi.org/10.24252/mapan.2019v7n1a12DOI ↗Google Scholar ↗
  38. NCTM. (2000). Principles and standard for school mathematcis. The National Council of Teacher of Mathematics, Inc.Google Scholar ↗
  39. Ningsih, Y. (2019). The use of cooperative learning models think pair share in mathematics learning. Journal of Physics: Conference Series, 1387(1). https://doi.org/10.1088/1742-6596/1387/1/012144DOI ↗Google Scholar ↗
  40. Nyoto, N., Usodo, B., & Riyadi, R. (2015). Eksperimentasi model pembelajaran kooperatif tipe think pair share (TPS) dengan pendekatan realistic mathematics education (RME) ditinjau dari gaya belajar siswa kelas VIII SMP/MTS di Kabupaten Sragen. Jurnal Pembelajaran Matematika, 3(5), 553–563. https://jurnal.uns.ac.id/jpm/article/view/10704Google Scholar ↗
  41. Op’t Eynde, P., De Corte, E., & Verschaffel, L. (2002). Framing students’ mathematics-related beliefs: A quest for conceptual clarity and a comprehensive categorization. In Beliefs: A hidden variable in mathematics education? (pp. 13–37). Springer Netherlands. https://doi.org/10.1007/0-306-47958-3DOI ↗Google Scholar ↗
  42. Orlich, D. C., Harder, R. J., Callahan, R. C., Trevisan, M. S. T., & Brown, A. H. (2010). Teaching strategies: A guide to effective instruction. Cengage Learning.Google Scholar ↗
  43. Pantziara, M., & Philippou, G. N. (2015). Students’ motivation in the mathematics classroom. Revealing causes and consequences. International Journal of Science and Mathematics Education, 13, 385–411. https://doi.org/10.1007/s10763-013-9502-0DOI ↗Google Scholar ↗
  44. Pimta, S., Tayruakham, S., & Nuangchale, P. (2009). Factors influencing mathematic problem-solving ability of sixth grade students. Journal of Social Sciences, 5(4), 381–385. https://doi.org/10.3844/jssp.2009.381.385DOI ↗Google Scholar ↗
  45. Polya, G. (1973). How to solve it (2nd ed.). Princeton University Press. https://doi.org/10.2307/j.ctvc773pk.6DOI ↗Google Scholar ↗
  46. Pradipta, M. A., Suadnyana, I. N., & Darsana, I. W. (2013). Pengaruh model pembelajaran problem based learning melalui pendekatan realistic mathematics education terhadap hasil belajar matematika kelas iv sekolah dasar. MIMBAR PGSD, 1(1). https://ejournal.undiksha.ac.id/index.php/JJPGSD/article/view/1208Google Scholar ↗
  47. Rawani, D., Putri, R. I. I., Zulkardi, & Susanti, E. (2023). RME-based local instructional theory for translation and reflection using of South Sumatra dance context. Journal on Mathematics Education, 14(3), 545–562. https://doi.org/10.22342/jme.v14i3.pp545-562DOI ↗Google Scholar ↗
  48. Reyes, L. H. (1984). Affective variables and mathematics education. The Elementary School Journal, 84(5), 558–581. https://doi.org/10.1086/461384DOI ↗Google Scholar ↗
  49. Rifa’i, A., & Lestari, H. P. (2018). The effect of Think Pair Share (TPS) using scientific approach on students’ self-confidence and mathematical problem-solving. Journal of Physics: Conference Series, 983(1). https://doi.org/10.1088/1742-6596/983/1/012084DOI ↗Google Scholar ↗
  50. Sampsel, A. (2013). Finding the effects of think-pair-share on student confidence and participation. Honor Project, 28, 1–19. https://scholarworks.bgsu.edu/honorsprojects/28Google Scholar ↗
  51. Schoenfeld, A. H. (1989). Explorations of students’ mathematical beliefs and behavior. Journal for Research in Mathematics Education, 20(4), 338. https://doi.org/10.2307/749440DOI ↗Google Scholar ↗
  52. Sercenia, J. C., Ibañez, E. D., & Pentang, J. T. (2023). Thinking beyond thinking: Junior high school students’ metacognitive awareness and conceptual understanding of integers. Mathematics Teaching-Research Journal, 15(1), 4–24. https://eric.ed.gov/?id=EJ1391473Google Scholar ↗
  53. Slavin, R. E. (2017). Educational psychology (12th ed., Vol. 25, Issue 12). New York: Pearson.Google Scholar ↗
  54. Sugiman. (2009). Aspek keyakinan matematik siswa dalam pendidikan matematika. Pendidikan Matematika (Universitas Yogyakarta), 1–12.Google Scholar ↗
  55. Sulistyawati, E., & Radite, R. (2024). Mathematical communication of preservice mathematics teachers in solving gender-biased higher-order thinking skills problems. Indonesian Journal of Science and Mathematics Education, 7(2), 234–251. https://doi.org/10.24042/ijsme.v7i2.19636DOI ↗Google Scholar ↗
  56. Theodora, F. R. N., & Hidayat, D. (2018). The use of realistic mathematics education in teaching the concept of equality. Journal of Holistic Mathematics Education, 1(2), 104–113. https://doi.org/10.19166/johme.v1i2.913DOI ↗Google Scholar ↗
  57. Ulandari, L., Amry, Z., & Saragih, S. (2019). Development of learning materials based on realistic mathematics education approach to improve students’ mathematical problem solving ability and self-efficacy. International Electronic Journal of Mathematics Education, 14(2), 375–383. https://doi.org/10.29333/iejme/5721DOI ↗Google Scholar ↗
  58. Uyen, B. P., Tong, D. H., Loc, N. P., & Thanh, L. N. P. (2021). The effectiveness of applying realistic mathematics education approach in teaching statistics in grade 7 to students’ mathematical skills. Journal of Education and E-Learning Research, 8(2), 185–197. https://doi.org/10.20448/JOURNAL.509.2021.82.185.197DOI ↗Google Scholar ↗
  59. Van den Heuvel-Panhuizen, M., & Drijvers, P. (2014). Realistic mathematics education. In S. Lerman (Ed.), Encyclopedia of mathematics education (pp. 521–525). Springer Netherlands. https://doi.org/10.1007/978-94-007-4978-8_170DOI ↗Google Scholar ↗
  60. Yuanita, P., & Zakaria, E. (2016). The effect of realistic mathematics education (RME) implementation to mathematics belief, mathematics representative and mathematics problem solving. Advanced Science Letters, 22(8), 1989–1992. https://doi.org/10.1166/asl.2016.7754DOI ↗Google Scholar ↗
  61. Yuanita, P., Zulnaidi, H., & Zakaria, E. (2018). The effectiveness of realistic mathematics education approach: The role of mathematical representation as mediator between mathematical belief and problem solving. PloS One, 13(9), e0204847. https://doi.org/10.1371/journal.pone.0204847DOI ↗Google Scholar ↗
  62. Zakaria, E., & Syamaun, M. (2017). The effect of realistic mathematics education approach on students’ achievement and attitudes towards mathematics. Mathematics Education Trends and Research, 1(1), 32–40. http://www.ispacs.com/journals/metr/2017/metr-00093/Google Scholar ↗
  63. Zulkardi, Z., & Putri, R. I. I. (2010). Pengembangan blog support untuk membantu siswa dan guru matematika Indonesia belajar pendidikan matematika realistic Indonesia (PMRI). Jurnal Inovasi Perekayasa Pendidikan (JIPP), 2(1), 1–24. https://repositori.kemdikbud.go.id/203/Google Scholar ↗
Author details
Munira Alfisyahrina
Universitas Negeri Yogyakarta, Department of Mathematics Education, Colombo Road No. 1, Sleman
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Sugiman
Universitas Negeri Yogyakarta, Department of Mathematics Education, Colombo Road No. 1, Sleman
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