Problem-Based Learning with Manipulative Media: Enhancing Elementary Students' Conceptual Understanding in Area and Volume

Sintha Sih Dewanti; Rahmawati; Sumardi

doi:10.23887/jisd.v8i3.80221

Penulis

Sintha Sih Dewanti Universitas Islam Negeri Sunan Kalijaga Yogyakarta, Yogyakarta, Indonesia
Rahmawati Sekolah Dasar Negeri Depok 1, Sleman, Indonesia
Sumardi Sekolah Dasar Negeri Depok 1, Sleman, Indonesia

DOI:

https://doi.org/10.23887/jisd.v8i3.80221

Kata Kunci:

Problem-Based Learning, Manipulative Media, Concept Understanding, Elementary School

Abstrak

The learning model plays a crucial role in ensuring students' conceptual understanding through active and meaningful learning experiences. A structured and collaborative model fosters a conducive learning environment, encouraging students to actively grasp concepts. This study aims to develop a Problem-Based Learning (PBL) model assisted by manipulative media to enhance elementary students' conceptual understanding of area and volume measurement. The study follows a Research & Development approach using the ADDIE model, with fourth-grade elementary students as research subjects. Data collection techniques include interviews, classroom observations, and tests. The data were analyzed qualitatively using descriptive analysis. The findings reveal that students became more actively engaged in the learning process and were able to connect abstract concepts through hands-on practice using manipulative media. The independent learning activity level reached 91.84%, while group activities achieved 96.85% in the first session and 97.30% in the second session. The test results on area and volume measurement indicated a mastery learning rate of 96.76%. Students' conceptual understanding fell into the very high category, with a mastery percentage between 85-100% based on the Criterion-Referenced Assessment scale. The study concludes that implementing the PBL model assisted by manipulative media effectively enhances students' conceptual understanding and promotes their active participation in collaborative problem-solving activities.

Referensi

Allen, C. E., Froustet, M. E., LeBlanc, J. F., Payne, J. N., Priest, A., Reed, J. F., Worth, J. E., Thomason, G. M., Robinson, B., & Payne, J. N. (1982). National Council of Teachers of Mathematics. The Arithmetic Teacher, 29(5), 59. https://doi.org/10.5951/AT.29.5.0059.

Amin, S., Utaya, S., Bachri, S., Sumarni, S., & Susilo, S. (2020). Effect of Problem Based Learning on Critical Thinking Skill and Enviromental Attitude. Journal for the Education of Gifted Young Scientists, 8(2), 743–755. https://doi.org/10.17478/jegys.650344.

Antara, I. P. P. A. (2022). Model Pembelajaran Problem Based Learning Untuk Meningkatkan Hasil Belajar Kimia Pada Pokok Bahasan Termokimia. Journal of Education Action Research, 6(1), 15. https://doi.org/10.23887/jear.v6i1.44292.

Astiti, N. K. A., Rini Kristiantari, M. G., & Saputra, K. A. (2021). Efektivitas Model Pembelajaran Discovery Learning Dengan Media Powerpoint Terhadap Hasil Belajar IPA Siswa SD. Journal of Education Action Research, 5(3). https://doi.org/10.23887/jear.v5i3.36695.

Azhima, I., Meilanie, R. S. M., & Purwanto, A. (2021). Penggunaan Media Flashcard untuk Mengenalkan Matematika Permulaan Pada Anak Usia Dini. Jurnal Obsesi : Jurnal Pendidikan Anak Usia Dini, 5(2), 2008–2016. https://doi.org/10.31004/obsesi.v5i2.1091.

Bahar, B., Wibawa, B., & Situmorang, R. (2020). Development of Instructional Design Models Based on PBL Model for Software Modeling Course at the Information Technology College in Indonesia. Universal Journal of Educational Research, 8(9A), 1–9. https://doi.org/10.13189/ujer.2020.082001.

Bains, M., Kaliski, D. Z., & Goei, K. A. (2022). Effect of Self-Regulated Learning and Technology-Enhanced Activities on Anatomy Learning, Engagement, and Course Outcomes in a Problem-based Learning Program. Advances in Physiology Education, 46(2), 219–227. https://doi.org/10.1152/advan.00039.2021.

Brown, C., & Wilson, R. (2021). The Role of Manipulatives in Enhancing Mathematical Understanding in Project-Based Learning. Elementary Education Studies, 15(4), 312–328. https://dl.acm.org/doi/abs/10.1145/3501712.3529728.

Brown, C., & Wilson, R. (2022). Implementing Problem-Based Learning in Elementary Mathematics: Challenges and Opportunities. Journal of Educational Psychology, 33(2), 205–223. https://search.proquest.com/openview/781c3bed3cca8a66645abaa682905211/1?pq-origsite=gscholar&cbl=18750&diss=y.

Carpathia Ellyana, A., & Tegeh, I. M. (2023). Problem-Based Learning-Based Learning Videos on Natural Science Content for Fifth Grade Elementary Schools. Jurnal Ilmiah Sekolah Dasar, 7(2), 327–335. https://doi.org/10.23887/jisd.v7i2.56769.

Cotton, T. (2021). Understanding and Teaching Primary Mathematics (Fourth). Routledge. https://lccn.loc.gov/2020014760.

Creswell, J. W., & Poth, C. N. (2018). Qualitative Inquiry and Research Design. Choosing Among Five Approaches (4th Edition ed.). California: Sage.

Creswell, J. W., & Creswell, J. D. (2018). Research design; Qualitative, Quantitative, and Mixed Methods Approache (5th ed.). SAGE Publications.

Dewanti, S. S. (2013). Perpaduan PCL dan Pelatihan Metakognitif Dalam Meningkatkan Kemampuan Memecahkan Masalah Matematika. Jurnal Penelitian Dan Evaluasi Pendidikan, 13(1). https://doi.org/10.21831/pep.v13i1.1400.

Dolmans, D. H. J. M., Loyens, S. M. M., Marcq, H., & Gijbels, D. (2021). Deep and Surface Learning in Problem-Based Learning: A Review of the Literature. Advances in Health Sciences Education, 26, 1357–1373. https://link.springer.com/article/10.1007/s10459-015-9645-6.

Fauziah, R. H., & Ruqoyya h, S. (2022). Kemampuan Pemahaman Konsep Pada Materi Bangun Ruang Melalui Model Pembelajaran Contextual Teaching And Learning Pada Siswa Kelas V Sekolah Dasar. Collase (Creative of Learning Students Elementary Education, 5(1), 188–198. https://doi.org/10.22460/collase.v5i1.6556.

Ghani, A. S. A., Rahim, A. F. A., Yusoff, M. S. B., & Hadie, S. N. H. (2021). Effective Learning Behavior in Problem-Based Learning: a Scoping Review. Medical Science Educator, 31(3), 1199–1211. https://doi.org/10.1007/s40670-021-01292-0.

Hartinah, S., Suharso, P., Umam, R., Syazali, M., Lestari, B. D., Roslina, R., & Jermsittiparsert, K. (2020). Teacher’s performance management: The role of principal’s leadership, work environment and motivation in Tegal City, Indonesia. Management Science Letters, 235–246. https://doi.org/10.5267/j.msl.2019.7.038.

Hindriyani, A., Kusairi, S., & Yuliati, L. (2020). Kemampuan Memecahkan Masalah Rangkaian Arus Searah Pada Pembelajaran Berbasis Masalah Disertai Penilaian Formatif. Jurnal Pendidikan: Teori, Penelitian, Dan Pengembangan, 5(9), 1237. https://doi.org/10.17977/jptpp.v5i9.14003.

Hmelo-Silver, C. E., Barrows, H. S., & Devlin, A. S. (2019). Problem-Based Learning: What and How Do Students Learn? Educational Psychology Review, 31(2), 91–119. https://link.springer.com/article/10.1023/B:EDPR.0000034022.16470.f3.

Hung, W. (2019). Problem-Based Learning: A Learning Environment for Enhancing Learning Transfer. New Directions for Teaching and Learning, 159, 25–38. https://search.ebscohost.com/login.aspx?direct=true&profile=ehost&scope=site&authtype=crawler&jrnl=10522891&AN=86048969&h=NJaslVaZzO5LHPc45kdbu1woFPmxVLoKKSmHLztSu8DTw0RHs5A4B03uA3enRlg9KI2vsj%2FTQByz4le6tHPa1g%3D%3D&crl=c.

Husna, K. (2020). Proses Pembelajaran Matematika Di Madrasah Ibtidaiyah Negeri 3 Langsa Di Tengah Pandemi Covid-19. Pedagogik. Jurnal Ilmiah Pendidikan Dan Pembelajaran Fakultas Tarbiyah Universitas Muhammadiyah Aceh, 7(2), 144–155. https://doi.org/10.37598/pjpp.v7i2.830.

Ismail, I., Nursalam, N., Angriani, A. D., & Kusumayanti, A. (2021). Development of Measurement Tool for Understanding, Application, and Reasoning Mathematics of Madrasah Ibtidaiyah Students. Kreano, Jurnal Matematika Kreatif-Inovatif, 12(1), 26–38. https://doi.org/10.15294/kreano.v12i1.27053.

Isnaniah, & Imamuddin, M. (2020). Students’ Understanding of Mathematical Concepts Using Manipulative Learning Media in Elementary Schools. Journal of Physics: Conference Series, 1471(1), 12050. https://doi.org/10.1088/1742-6596/1471/1/012050.

Isrok’atun, & Rosmala, A. (2019). Model-Model Pembelajaran Matematika (B. S. Fatmawati & C. kedua) Ed. (eds.)). PT. Bumi Aksara.

Johnson, K., & Lee, M. (2023). Integrating Manipulatives in Mathematics PBL to Enhance Conceptual Understanding. Global Journal of Educational Innovation, 19(1), 45–59. https://fnasjournals.com/index.php/FNAS-JMSE/article/view/152.

Kamalia, F. F., Basir, M. A., & Ubaidah, N. (2020). Analisis Pemahaman Matematis Siswa pada Materi Trigonometri. IndoMath: Indonesia Mathematics Education, 3(1), 28. https://doi.org/10.30738/indomath.v3i1.6164.

Kawulich, B. B. (2021). Fieldwork in Social Science Research: Observing, Interviewing, and Writing. Routledge.

Kusnadi, F. N., Karlina Rachmawati, T., & Sugilar, H. (2021). Kemampuan Pemahaman Matematis Siswa Pada Materi Trigonometri. SJME (Supremum Journal of Mathematics Education, 5(2). https://doi.org/10.35706/sjme.v5i2.5140.

Latifa, A. N., Setyansah, R. K., & Ningsih, M. K. (2022). Pengembangan Media Manipulatif Puzzle Game Pada Materi Kombinasi Permutasi. Jurnal Pembelajaran Matematika Inovatif, 5(5), 1457–1466. https://doi.org/10.22460/jpmi.v5i5.11992.

Maharani, L. A., & Waluya, S. B. (2023). Systematic Literature Review: Implementation of a Problem-Based Learning Model with Ethnomathematics Nuances in Improving Students’ Mathematical Problem Solving Ability. Jurnal Pendidikan Matematika, 1(2), 13. https://doi.org/10.47134/ppm.v1i2.218.

Maier, U., Wolf, N., & Randler, C. (2016). Effects of a computer-assisted formative assessment intervention based on multiple-tier diagnostic items and different feedback types. Computers and Education, 95, 85–98. https://doi.org/10.1016/j.compedu.2015.12.002.

Mandasari, N. A. (2021). Penerapan Model Pembelajaran Berbasis Masalah Berbantuan Media Power Point untuk Meningkatkan Aktivitas dan Hasil Belajar Siswa di SDN Pandean Lamper 02 Semarang. Jurnal Paedagogy, 8(3), 328. https://doi.org/10.33394/jp.v8i3.3886.

Martin, J., & Clark, E. (2022). Enhancing Mathematical Comprehension through Manipulatives in PBL. Innovations in Education, 29(4), 87–105. https://search.proquest.com/openview/fea5ae8df9ccd73ad08a7e34c17807ec/1?pq-origsite=gscholar&cbl=18750&diss=y.

Maulana, R., Susilaningsih, E., & Subali, B. (2022). Implementation of Problem-Based Learning Model to Enhance Critical Thinking Skills on Force Material in Fourth Grade Elementary School. Journal of Primary Education, 11(2), 274–286. https://journal.unnes.ac.id/sju/index.php/jpe.

Maulani, F. (2020). Penerapan Pendekatan Concrete-Pictorial-Abstract Terhadap Kemampuan Pemahaman Konsep Matematis Pada Mata Pelajaran Matematika Kelas V SD. Jurnal Absis : Jurnal Pendidikan Matematika Dan Matematika, 2(2), 160–170. https://doi.org/10.30606/absis.v2i2.328.

McGrath, C. H., & Coles, J. (2018). Observing Learning: Using Classroom Observation to Improve Teaching and Learning. Routledge.

Mega, A. M. M. P., & Madani, F. (2023). Analisisis Assesmen Autentik Pembelajaran Matematika Sekolah Dasar. Jurnal Elementaria Edukasia, 6(2), 778–788. https://doi.org/10.31949/jee.v6i2.5659.

Merriam, S B, & Grenier, R. S. (2019). Qualitative Research in Practice: Examples for Discussion and Analysis (2nd ed.). Jossey-Bass.

Merriam, Sharan B., & Tisdell, E. J. (2016). QUALITATIVE RESEARCH: A Guide to Design and Implementation (4th ed.). Jossey-Bass.

Miller, D., & Thompson, L. (2020). The Impact of Problem-Based Learning on Conceptual Understanding in Mathematics. International Journal of Educational Research, 95(3), 101–117. https://link.springer.com/article/10.1007/s10648-024-09864-3.

Miller, D., & Thompson, L. (2022). The Impact of Project-Based Learning on Student Engagement in Mathematics. International Journal of Math Education, 67(2), 89–104. https://www.bakeru.edu/images/pdf/SOE/EdD_Theses/Maeder_Jason.pdf.

Monalisa, C., Ahda, Y., & Fitria, Y. (2019). Critical Thinking Skill Improvement Using Problem Based Learning (PBL) Model of 4th Grade Students of Elementary School. International Journal of Science and Research (IJSR), 8(2), 429–432. http://repository.unp.ac.id/21930/.

Monica, K. A. L., Sariyasa, & Dantes, N. (2023). Infographic Media Increases Learning Interest, Learning Outcomes, and Character of Elementary School Students and Countermeasures Health ProblemsKesehatan. JPG: Jurnal Pendidikan Guru, 4(1), 329–339. https://doi.org/10.32832/jpg.v4i4.14798.

Muhsetyo, G., Krisnadi, E., Karso, H., Wahyuningrum, E., Tarhadi, & Widagdo, D. (2021). Pembelajaran Matematika SD (2nd ed., Vol. 2). Universitas Terbuka.

Nadeak, B., & Naibaho, L. (2020). The Effectiveness Of Problem-Based Learning On Students’ Critical Thinking. Jurnal Dinamika Pendidikan, 13(1), 17. https://doi.org/10.51212/jdp.v13i1.1393.

Novianti, N., & Fakhriyana, D. (2022). Comparison Of Problem-Solving Ability In Pbl Model With Index Card Match And Think Pair Share Strategies In Functional Materials. Mapan, 10(1), 127–141. https://doi.org/10.24252/mapan.2022v10n1a9.

Nuranjani, S., & Wijayanti, D. (2023). PBL-Based Google Sites Enhance Social Studies Understanding among PGSD Students: An Experimental Study. Jurnal Ilmiah Sekolah Dasar, 7(4), 687–695. https://doi.org/10.23887/jisd.v7i4.61400.

Nurwidodo, N., Wahyuni, S., Hindun, I., & Fauziah, N. (2024). The effectiveness of problem-based learning in improving creative thinking skills, collaborative skills and environmental literacy of Muhammadiyah secondary school students. Research and Development in Education (RaDEn, 4(1), 49–66. https://doi.org/10.22219/raden.v4i1.32123.

Ramadhani, R., Huda, S., & Rofiqul, U. (2019). Problem-Based Learning, Its Usability and Critical View as Educational Learning Tools. Journal of Gifted Education And, 6(3), 218–231. https://doi.org/https://dergipark.org.tr/en/pub/jgedc/issue/50605/637355.

Reed, S. S., Mullen, C. A., & Boyles, E. T. (2021). Bringing Problem-Based Learning to Elementary Schools to Benefit Children’s Readiness for a Global World (pp. 1–29). https://doi.org/10.1007/978-3-030-29553-0_128-2.

Sajidan, Suranto, Atmojo, I. R. W., Saputri, D. Y., & Etviana, R. (2022). Problem-Based Learning-Collaboration (Pbl-C) Model in Elementary School Science Learning in the Industrial Revolution Era 4.0 and Indonesia Society 5.0. Jurnal Pendidikan IPA Indonesia, 11(3), 477–488. https://doi.org/10.15294/jpii.v11i3.30631.

Sakir, N. A. I., & Kim, J. G. (2020). Enhancing Students’ Learning Activity and Outcomes via Implementation of Problem-based Learning. Eurasia Journal of Mathematics, Science and Technology Education, 16(12), 1925. https://doi.org/10.29333/ejmste/9344.

Sari, J., & Hayati, F. (2019). Analisis Kemampuan Pemahaman Konsep Matematis Siswa Smp Pada Materi Kubus Dan Balok. Pi: Mathematics Education Journal, 2(1), 14–25. https://doi.org/10.21067/pmej.v2i1.2838.

Schmidt, H. G., Rotgans, J. I., & Yew, E. H. J. (2018). Cognitive Constructivist Foundations of Problem-Based Learning. Advances in Health Sciences Education, 23(4), 845–857. https://onlinelibrary.wiley.com/doi/abs/10.1002/9781119173243.ch2.

Smith, A., & Jones, B. (2020). Challenges of Implementing Project-Based Learning in Elementary Mathematics. Journal of Educational Research, 112(3), 225–238. https://ipir.ipisr.org.rs/handle/123456789/657.

Smith, A., Jones, B., & Brown, C. (2021). The Role of Manipulatives in Problem-Based Learning: Perspectives from Elementary Educators. Journal of Education and Learning, 10(4), 150–168. https://www.ijemst.org/index.php/ijemst/article/view/1254.

Strobel, J., & Barneveld, A. (2019). When Is PBL More Effective? A Meta-synthesis of Meta-analyses Comparing PBL to Conventional Classrooms. The Interdisciplinary Journal of Problem-Based Learning, 13(2), 5–18. https://scholarworks.iu.edu/journals/index.php/ijpbl/article/view/28220.

Sudejamnong, A., Robsouk, K., Loipha, S., & Inprasitha, M. (2014). Development of teachers’ mathematical knowledge for teaching by using the innovation of lesson study and open approach. Sociology Mind, 04(04), 317–327. https://doi.org/10.4236/sm.2014.44032.

Sugiarti, S., & Dewanti, S. S. (2018). Pengaruh Penerapan Pendekatan Problem Based Learning (Pbl) Dengan Model Pembelajaran Kooperatif Tipe Think Pair Share (Tps) Terhadap Peningkatan Kemampuan Pemecahan Masalah Matematika Dan Self Confidence. AdMathEdu : Jurnal Ilmi Ah Pendidikan Matematika, Ilmu Matematika Dan Matematika Terapan, 8(1), 59. https://doi.org/10.12928/admathedu.v8i1.11120.

Sugiyono. (2012). Metode Penelitian Kuantitatif Kualitatif dan R&B. Alfabeta.

Taslima, I. (2021). The Effect Of Use Of Manipulative Media On Increasing Understanding Of Mathematics Learning Concepts For Students In Class V SD. Social, Humanities, and Educational Studies (SHES): Conference Series, 4(6), 437–445. https://doi.org/10.20961/shes.v4i6.68480.

Thomas, E., & Seely, D. (2022). Overcoming Conceptual Challenges in PBL: The Need for Concrete Learning Tools. Mathematics Education Review, 54(2), 101–118. https://search.proquest.com/openview/44369350204bb9f526876e1727850d0f/1?pq-origsite=gscholar&cbl=18750&diss=y.

Ummah, S. K., & Azmi, R. D. (2020). Konstruksi Konsep Matematika Melalui Pembuatan Media Manipulatif Terintegrasi Teknologi. Aksioma: Jurnal Program Studi Pendidikan Matematika, 9(1), 43. https://doi.org/10.24127/ajpm.v9i1.2653.

Wijnia, L., Loyens, S. M. M., & Derous, E. (2020). Investigating Effects of Problem-Based Versus Lecture-Based Learning Environments on Student Motivation. Contemporary Educational Psychology, 6(4). https://doi.org/10.1016/j.cedpsych.2010.11.003.

Williams, S., & Taylor, R. (2021). Enhancing Student Motivation through Manipulatives in PBL. Educational Psychology International, 37(1), 102–118. https://link.springer.com/article/10.1007/s10798-024-09929-y.

Williams, S., & Taylor, R. (2023). Motivation and Engagement in Mathematics: The Role of Hands-On Learning. Educational Psychology International, 37(1), 55–71. https://www.cell.com/heliyon/fulltext/S2405-8440(24)11942-1.

Yulianty, N. (2019). Kemampuan Pemahaman Konsep Matematika Siswa Dengan Pendekatan Pembelajaran Matematika Realistik. Jurnal Pendidikan Matematika Raflesia, 4(1), 60–65. https://doi.org/10.33369/jpmr.v4i1.7530.