Implementing Bruner's Theory in Teaching Angles on a Circle to Enhance Problem-Solving Skills

DOI:

https://doi.org/10.58421/misro.v4i4.698

Authors

Keywords:

Angle on a circle, Bruner’s theory, Mathematical problem-solving, Mathematics education

Abstract

Bruner's theory is particularly notable for its application in mathematics, as it outlines three steps in the teaching process: enactive, iconic, and symbolic. This research aims to implement Bruner's theory in teaching Angles on circles to improve problem-solving skills. The research method is a quasi-experiment with a posttest-only control group design. Using cluster random sampling, two classes from one of the junior high schools in Jakarta were selected as samples: the first as an experimental class of 30 students, who learned using Bruner's theory, and the second as a control class of 31 students, who learned with a conventional approach. The instrument is a mathematical problem-solving test in the form of an essay test of four questions. The questions are given at the end of the lesson, and the instruments have been validated through content validity and empirical validity. The results show that, through t-test analyses, it was found that students’ problem-solving skills, who learn using Bruner's theory, are higher than those of students who learn using conventional methods. It demonstrates that teaching using Bruner’s theory is effective in improving students’ problem-solving skills, particularly in the Area of Angles on circles.

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References

B. Asare, Y. Dissou Arthur, and B. Adu Obeng, “Mathematics self-belief and mathematical creativity of university students: the role of problem-solving skills,” Cogent Educ., vol. 12, no. 1, 2025, doi: 10.1080/2331186X.2025.2456438.

P. Liljedahl, M. Santos-Trigo, U. Malaspina, and R. Bruder, Problem Solving in Mathematics Education. Mexico: Springer Nature, 2016. doi: 10.1007/978-94-010-9046-9_81.

A. N. Aljura, H. Retnawati, H. Zulnaidi, and V. Mbazumutima, “Understanding High School Students’ Errors in solving Mathematics Problems: A Phenomenological Research,” Indones. J. Learn. Adv. Educ., vol. 7, no. 1, pp. 154–178, 2025, doi: 10.23917/ijolae.v7i1.24005.

T. Wagner and C. L. Group, “Overcoming The Global Achievement Gap,” Harvard University, Graduate School of Education, 2010, pp. 1–17.

Y. X. Ng and T. T. Lam, “On Some Guiding Principles of Enacting Mathematical Problem Solving for Classroom Instruction,” Din. J. Ilm. Pendidik. Dasar, vol. 16, no. 1, p. 1, 2024, doi: 10.30595/dinamika.v16i1.20441.

N. Akben, “Effects of the Problem-Posing Approach on Students’ Problem Solving Skills and Metacognitive Awareness in Science Education,” Res. Sci. Educ., vol. 50, no. 3, pp. 1143–1165, 2020, doi: 10.1007/s11165-018-9726-7.

D. Dörner and J. Funke, “Complex problem solving: What it is and what it is not,” Front. Psychol., vol. 8, no. JUL, pp. 1–11, 2017, doi: 10.3389/fpsyg.2017.01153.

K. Bariyyah, “Problem solving skills: esssential skills challenges for the 21st century graduates,” J. Educ. J. Pendidik. Indones., vol. 7, no. 1, p. 71, 2021, doi: 10.29210/120212843.

B. Fishbein, M. Taneva, and K. Kowolik, TIMSS 2023 User Guide for the International Database, TIMSS & PI. Buston College, 2025, https://timss2023.org/data

A. Susanta, E. Susanto, and S. Maizora, “The Level of Junior High School Students’ Thinking in Solving TIMSS Mathematical Problem in Bengkulu,” Proc. Int. Conf. Math. Math. Educ. (I-CMME 2021), vol. 597, pp. 9–13, 2021, doi: 10.2991/assehr.k.211122.002.

L. M. Kennedy and A. Johnson, Guiding Children ’ s Learning of Mathematics, Eleventh Edition, Eleventh E. United States of America: Thomson Wadsworth, 2007, http://www.thomsonrights.com

A. Prabowo, T. Herman, S. Fatimah, and A. D. Ahniah, “Development of Four Tier Multiple Choice Diagnostic Tests to Know Students’ Misconceptions in Science Learning,” J. Penelit. Pendidik. IPA, vol. 7, no. 4, pp. 763–769, 2021, doi: 10.29303/jppipa.v7i4.854.

R. K. Mifetu, “Using activity method to address students’ problem-solving difficulties in circle geometry,” Contemp. Math. Sci. Educ., vol. 4, no. 1, p. ep23016, 2023, doi: 10.30935/conmaths/13079.

İ. AVĞIN and Y. ERGEN, “AND MATHEMATICS PROBLEM-SOLVING SKILLS OF PRIMARY,” Int. Online J. Prim. Educ. (IOJPE), 14(2), 32-47, vol. 14, no. 2, pp. 32–47, 2025, doi: https://doi.org/10.55020/iojpe.1684284 This.

E. Zuliana, E. Retnowati, and D. B. Widjajanti, “How should elementary school students construct their knowledge in mathematics based on Bruner’s theory?,” J. Phys. Conf. Ser., vol. 1318, no. 1, 2019, doi: 10.1088/1742-6596/1318/1/012019.

J. Zhou, “A Critical Discussion of Vygotsky and Bruner’s Theory and Their Contribution to Understanding of the Way Students Learn,” Rev. Educ. Theory, vol. 3, no. 4, p. 82, 2020, doi: 10.30564/ret.v3i4.2444.

E. Lawal Isa and E. Dangari, “Global Educational Research Journal Teacher, Teaching Theory and Bruner’s Cognitive Perspective: A Review of Trend,” Abbreviated Key Title Glob. Edu. Res. J, vol. 10, no. 6, pp. 64–068, 2022.

S. Wibowo, P. Pujianah, A. R. Hakim, and C. I. R. Nita, “Implementation of Bruner’s Theory to Improve Understanding of the Concept of Numbers for Grade I Students at SDN 1 Kepanjen,” J. Pembelajaran, Bimbingan, dan Pengelolaan Pendidik., vol. 3, no. 7, pp. 605–621, 2023, doi: 10.17977/um065v3i72023p605-621.

M. Santos-Trigo, “Problem solving in mathematics education: tracing its foundations and current research-practice trends,” ZDM - Math. Educ., vol. 56, no. 2, pp. 211–222, 2024, doi: 10.1007/s11858-024-01578-8.

C. A. Legede, T. R. Mamo, D. B. Debelo, and A. A. Yismaw, “The role of teacher-related factors in enhancing quality service provision in pre-primary schools of Gambella regional state, Ethiopia,” Qual. Educ. All, vol. 1, no. 1, pp. 348–363, 2024, doi: 10.1108/QEA-09-2024-0089.

A. Zaki, S. Suparno, and L. Nulhakim, “The role of teachers in improving students’ learning outcomes in thematic learning through the use of the environment as a learning resource,” J. Ilm. Sekol. Dasar, vol. 5, no. 1, pp. 61–68, 2021, https://ejournal.undiksha.ac.id/index.php/JISD/article/view/30093

G. Aldon, U. Lyon, and C. Bernard, “How important is to solve problems and to give problems to be solved?,” vol. 2021, no. 10, pp. 9–28, 2021.

J. C. Benson-Iyare, J. C. Osagu, E. J. Nkorabon, and F. A. Sani, “A Bruner EIS-Based Learning Management System for Teaching Algebra : A Pilot Study,” Int. J. Mechatronics, Electr. Comput. Technol., vol. 11(39), pp. 4874–4880, 2022.

S. P. Collins et al., “Analysis of The Application of Learning Theory of J.B. Bruner in a Counseling Study Study Counting Operation to Add Whole Numbers,” Semin. Nas. Pendidik. dan Kewirausahaan (SNPK 2020), vol. SHEs: Conf, pp. 109–116, 2021.

J. S. Bruner, “Toward a theory of instruction,” 1968, W. W. Norton & Company, New York.

S. Nur Arsyad, W. P. Tangkin, S. Sumartono, and B. Astuti, “Implications of Bruner’S Cognitive Theory on Elementary School Education in the 21St Century,” Klasikal J. Educ. Lang. Teach. Sci., vol. 6, no. 3, pp. 697–704, 2024, doi: 10.52208/klasikal.v6i3.1225.

H. Upu and Bustang, “Constructivism versus Cognitive Load Theory: In Search for an Effective Mathematics Teaching,” no. May 2014, 2021, http://arxiv.org/abs/2108.04796

S. Prakash Chand, “Constructivism in Education: Exploring the Contributions of Piaget, Vygotsky, and Bruner,” Int. J. Sci. Res., vol. 12, no. 7, pp. 274–278, 2023, doi: 10.21275/sr23630021800.

K. Salim, D. H. Tiawa, and M. Mohamed, “The learning strategy through the using of instruction technology interactive animation media (IAM) seen from independence learning mathematics secondary school students,” Int. J. Multidiscip. Res. Dev., vol. 2, no. 3, pp. 667–675, 2015, https://www.researchgate.net/profile/Kalbin-Salim/publication/274252360_The_learning_strategy_through_the_using_of_instruction_technology_interactive_animation_media_IAM_seen_from_independence_learning_mathematics_secondary_school_students/links/5519a2950

B. S. Seifullina and Z. A. Shokybayev, “Educational implications of incorporating contemporary interactive techniques into the curriculum Implicaciones educativas de la incorporación de técnicas interactivas contemporáneas al currículo Implicações educacionais da incorporação de técnicas intera,” Práxis Educ. Ponta Grossa, vol. 5, no. 19, pp. 1–14, 2024.

D. Safitri et al., “Multimedia-Based Interactive Learning Media to Improve Student’s Concept Understanding of Mathematics,” in AIP Conference Proceedings, American Institute of Physics, 2025, p. 20070. doi: https://doi.org/10.1063/5.0262033.

L. M. Padirayon, M. V. Pagudpud, and J. S. D. Cruz, “Exploring constructivism learning theory using mobile game,” IOP Conf. Ser. Mater. Sci. Eng., vol. 482, no. 1, 2019, doi: 10.1088/1757-899X/482/1/012004.

T. M. Rusdi, H. Djafar, N. K. Latuconsina, I. Suaidah, M. D. Pamungkas, and A. Kusumayanti, “The Learning Tools development of Rectangular and Square Material Oriented toward the Learning Cooperative Setting and included Bruner Theory on Students,” J. Phys. Conf. Ser., vol. 1539, no. 1, 2020, doi: 10.1088/1742-6596/1539/1/012089.

R. S. Wahyuningtyas and M. Silalahi, “Daily activity based learning model on new normal era digital learning,” in AIP Conference Proceedings, AIP Publishing LLC, 2024, p. 70006.

B. Cory and A. Ray, “Utilizing Cognitive Load Theory and Bruner’s Levels of Developmental Learning to Address Students’ Struggles Related to Area of Polygons: A Pedagogical Action Research Study,” Electron. J. Res. Sci. Math. Educ., vol. 27, no. 3, pp. 20–34, 2023, https://ejrsme.icrsme.com/article/view/23309

A. H. Abdullah, “How do Malaysian and South Korean secondary school mathematics curricula evolve?,” in AIP Conference Proceedings, AIP Publishing LLC, 2024, p. 80002. doi: https://doi.org/10.1063/5.0227954.

B. Capili and J. K. Anastasi, “An Introduction to Types of Quasi-Experimental Designs,” Am. J. Nurs., vol. 124, no. 11, pp. 50–52, 2024, doi: 10.1097/01.NAJ.0001081740.74815.20.

P. Wen, “Application of Bruner’s Learning Theory in Mathematics Studies,” Adv. Soc. Sci. Educ. Humanit. Res., vol. 283, no. Cesses, pp. 234–237, 2018, doi: 10.2991/cesses-18.2018.53.

M. Gombo, “Application of Jerome Bruner’s Learning Theory in Learning Mathematics in Elementary School,” Int. J. Sustain. Soc. Sci., vol. 2, no. 5, pp. 335–342, 2024, doi: 10.59890/ijsss.v2i5.2631.

Z. Mabhoza and B. E. Olawale, “Chronicling the Experiences of Mathematics Learners and Teachers on the Usage of Guided Discovery Learning (GDL) in Enhancing Learners’ Academic Performance,” Res. Soc. Sci. Technol., vol. 9, no. 1, pp. 141–155, 2024, doi: 10.46303/ressat.2024.8.

B. H. H. Ching and X. Wu, “Concreteness fading fosters children’s understanding of the inversion concept in addition and subtraction,” Learn. Instr., vol. 61, no. September, pp. 148–159, 2019, doi: 10.1016/j.learninstruc.2018.10.006.

J. H Sinambela, E. Elvis Napitupulu, M. Mulyono, and L. Sinambela, “The Effect of Discovery Learning Model on Students Mathematical Understanding Concepts Ability of Junior High School,” Am. J. Educ. Res., vol. 6, no. 12, pp. 1673–1677, 2018, doi: 10.12691/education-6-12-13.

P. M. Budiman, T. Trimurtini, and P. D. Purwati, “Implementing Bruner’s Theory for the Conceptual Understanding of Addition and Subtraction,” Int. Res. Educ. J., vol. 5, no. 1, p. 119, 2023, doi: 10.17977/um043v5i1p119-127.

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Published

2025-10-08

How to Cite

[1]
N. Yuniarti, F. Firdausi, and G. Dwirahayu, “Implementing Bruner’s Theory in Teaching Angles on a Circle to Enhance Problem-Solving Skills”, J.Math.Instr.Soc.Res.Opin., vol. 4, no. 4, pp. 1051–1064, Oct. 2025.

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