Promoting mathematics problem solving ability through implementing GeoGebra-assisted problem based learning

Authors

  • Dhea Amalia Universitas PGRI Semarang, Indonesia
  • Intan Indiati Universitas PGRI Semarang, Indonesia
  • Achmad Buchori Universitas PGRI Semarang, Indonesia
  • Gunarti Krisnaningsih SMA Negeri 2 Semarang, Indonesia

DOI:

https://doi.org/10.30738/union.v11i2.14756

Keywords:

GeoGebra, Mathematics problem solving ability, Problem-based learning

Abstract

One of the skills necessary for 21st-century society is the capacity for problem-solving. Students will be required to work in unfamiliar settings, solve problems they have never faced before, and use skills unrelated to any particular subject matter. GeoGebra is a learning environment that provides a variety of representations and simulates various mathematical models. This article aims to describe instructions for the use of Geogebra-assisted PBL in promoting students' capacity for problem-solving. The students who participated in this study consisted of 36 high school students. Mathematics learning is done using the GeoGebra application during the learning process. The method used in this research is descriptive analysis and qualitative research. The specific technique used in implementing GeoGebra-Assisted Problem Based Learning is students through two phases in each sub material. The first phase is focusing on the problems that lead to an understanding about representation for solutions and not solutions in inequality and inequality system. The second phase is focusing on the real world problems that lead to an understanding solving problems using GeoGebra. The results of the study show that teachers need to develop student exploration processes through representations, simulations, problems, and solutions using GeoGebra that are close to student reality. The use of GeoGebra-assisted PBL is mathematics learning is able to support student exploration so that students are more involved in the learning process by paying attention to student interaction and exploration. The use of GeoGebra makes students active knowledge builders, tracks the process of change, and keeps students engaged with teachers in mathematics teaching. The analysis carried out was supported by student learning outcomes, which showed that the average learning outcomes were significantly different and exceeded the Minimum Criteria of Mastery Learning and as many as 86% of students scored above the Minimum Criteria of Mastery Learning. The use of GeoGebra-assisted PBL considerably increased students' capacity for problem-solving, notably in terms of their capacity to recognize issues, obtain data, evaluate it, and suggest solutions. Additionally, students perceived that GeoGebra was a useful tool for accelerating their learning, offering dynamic and interesting learning opportunities, and strengthening their capacity for problem-solving.

References

Alabdulaziz, Mansour Saleh, Sarah Mubarak Aldossary, Sahar Abdulaziz Alyahya, and Hind Muhareb Althubiti. 2021. “The Effectiveness of the GeoGebra Programme in the Development of Academic Achievement and Survival of the Learning Impact of the Mathematics among Secondary Stage Students.” Education and Information Technologies 26(3):2685–2713. https://doi.org/10.1007/s10639-020-10371-5 DOI: https://doi.org/10.1007/s10639-020-10371-5

Baeten, Marlies, Katrien Struyven, and Filip Dochy. 2013. “Student-Centred Teaching Methods: Can They Optimise Students’ Approaches to Learning in Professional Higher Education?” Studies in Educational Evaluation 39(1):14–22. https://doi.org/10.1016/j.stueduc.2012.11.001 DOI: https://doi.org/10.1016/j.stueduc.2012.11.001

Bu, L., & Robert, S. (2011). GeoGebra for model-centered learning in mathematics education: An introduction. In Model-Centered Learning (pp. 1-6). Brill. Retrieved from https://brill.com/display/book/9789460916182/BP000002.xml DOI: https://doi.org/10.1007/978-94-6091-618-2_1

Casazza, M., and S. Silverman. 1996. Learning Assistance and Developmental Education. San Francisco: Jossey-Bass.

Creswell, J. W. W. 2018. Research Design – Qualitative, Quantitative, and Mixed Methods Approaches. Fourth Edi. Los Angeles: London: Sage Publication. Inc.

Csapó, Benő, and Joachim Funke, eds. 2017. The Nature of Problem Solving. Paris: OECD. DOI: https://doi.org/10.1787/9789264273955-en

Dahal, Niroj, Binod Prasad Pant, Indra Mani Shrestha, and Netra Kumar Manandhar. 2022. “Use of GeoGebra in Teaching and Learning Geometric Transformation in School Mathematics.” International Journal of Interactive Mobile Technologies 16(8):65–78. https://doi.org/10.3991/ijim.v16i08.29575 DOI: https://doi.org/10.3991/ijim.v16i08.29575

Di Muro, Paola. 2006. “Best Practices in Mathematics Instruction: Teaching for Understanding.” National Association for Developmental Education (NADE) Digest 2(1):1–8. Retrieved from https://eric.ed.gov/?id=EJ1097786

Freudenthal, Hans. 1977. Antwoord Door Prof. Dr H. Freudenthal Na Het Verlenen van Het Eredoctoraat [Answer by Prof. Dr H. Freudenthal upon Being Granted an Honorary Doctorate]. Euclides.

Hartmann, Luisa-Marie, Janina Krawitz, and Stanislaw Schukajlow. 2021. “Create Your Own Problem! When given Descriptions of Real-World Situations, Do Students Pose and Solve Modelling Problems?” ZDM – Mathematics Education 53(4):919–35. https://doi.org/10.1007/s11858-021-01224-7 DOI: https://doi.org/10.1007/s11858-021-01224-7

Ke, Fengfeng, and Dean Kwak. 2013. “Constructs of Student-Centered Online Learning on Learning Satisfaction of a Diverse Online Student Body: A Structural Equation Modeling Approach.” Journal of Educational Computing Research 48(1):97–122. https://doi.org/10.2190/EC.48.1.e DOI: https://doi.org/10.2190/EC.48.1.e

Levesque-Bristol, C. (2023). Perspective Chapter: Fostering Students’ Learning Experiences in Higher Education-Reflections from Student-Centered Pedagogy and Course Transformation. In Higher Education-Reflections From the Field. IntechOpen. https://doi.org/10.5772/intechopen.110327 DOI: https://doi.org/10.5772/intechopen.110327

Murthy, S., Warriem, J.M., Iyer, S. (2017). Technology Integration for Student-Centered Learning: A Model for Teacher Professional Development Programs. In: Kong, S., Wong, T., Yang, M., Chow, C., Tse, K. (eds) Emerging Practices in Scholarship of Learning and Teaching in a Digital Era. Springer, Singapore. https://doi.org/10.1007/978-981-10-3344-5_4 DOI: https://doi.org/10.1007/978-981-10-3344-5_4

NCTM. 2000. Principles and Standards for School Mathematics. Reston: The National Council of Teachers of Mathematics Inc.

Negara, Habibi Ratu Perwira, Wahyudin, Elah Nurlaelah, and Tatang Herman. 2022. “Improving Students’ Mathematical Reasoning Abilities Through Social Cognitive Learning Using GeoGebra.” International Journal of Emerging Technologies in Learning (IJET) 17(18):118–35. https://doi.org/10.3991/ijet.v17i18.32151 DOI: https://doi.org/10.3991/ijet.v17i18.32151

Neumann, Jacob W. 2013. “Developing a New Framework for Conceptualizing ‘Student-Centered Learning.’” The Educational Forum 77(2):161–75. https://doi.org/10.1080/00131725.2012.761313 DOI: https://doi.org/10.1080/00131725.2012.761313

Silverman, Jason, and Veronica Hoyos, eds. 2018. Distance Learning, E-Learning and Blended Learning in Mathematics Education. Cham: Springer International Publishing. DOI: https://doi.org/10.1007/978-3-319-90790-1

Suárez, C. A. H., Galán, C. A. P., & Suarez, A. A. G. (2023). GeoGebra as Didactic and Technological Mediation in the Learning of Mathematics. An Analysis from the Perceptions of Basic and Secondary Education Students. Journal of Positive Psychology and Wellbeing, 63-71. Retrieved from http://mail.journalppw.com/index.php/jppw/article/view/15225

Tamam, B., and D. Dasari. 2021. “The Use of Geogebra Software in Teaching Mathematics.” Journal of Physics: Conference Series 1882(1):012042. https://doi.org/10.1088/1742-6596/1882/1/012042 DOI: https://doi.org/10.1088/1742-6596/1882/1/012042

Van Den Heuvel-Panhuizen, Marja. 2003. “The Didactical Use of Models in Realistic Mathematics Education: An Example from a Longitudinal Trajectory on Percentage.” Educational Studies in Mathematics 54(1):9–35. https://doi.org/10.1023/B:EDUC.0000005212.03219.dc DOI: https://doi.org/10.1023/B:EDUC.0000005212.03219.dc

Zain, Sharifah Fauziah Hanim Syed, Farah Eliza Mohd Rasidi, and Ismin Izwani Zainol Abidin. 2012. “Student-Centred Learning in Mathematics Constructivism In The Classroom.” Journal of International Education Research (JIER) 8(4):319–28. https://doi.org/10.19030/jier.v8i4.7277 DOI: https://doi.org/10.19030/jier.v8i4.7277

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Published

2023-07-31

How to Cite

Amalia, D., Indiati, I., Buchori, A., & Krisnaningsih, G. (2023). Promoting mathematics problem solving ability through implementing GeoGebra-assisted problem based learning. Union: Jurnal Ilmiah Pendidikan Matematika, 11(2), 275–284. https://doi.org/10.30738/union.v11i2.14756

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