Problem Based Learning, Discovery Learning, and Open Ended Models: An experiment On Mathematical Problem Solving Ability

Authors

  • Dian Fitria Tanjung Mahasiswa Magister Pendidikan Matematika Program Pascsarjana Universitas Muhammadiyah Sumatera Utara
  • Edi Syahputra Universitas Negeri Medan
  • Irvan Irvan Universitas Muhammadiyah Sumatera Utara

DOI:

https://doi.org/10.31764/jtam.v4i1.1736

Keywords:

Problem Based Learning, Discovery Learning, Open Ended, Mathematical Problem Solving Ability.

Abstract

This research is to look at the effect of problem-based learning, discovery learning, and open-ended models on the mathematical problem-solving abilities of students. The type of research is a quasi-experiment with a three treatment counterbalanced design research design. The instruments used: (1) students 'initial mathematical ability tests, (2) tests of students' mathematical problem-solving abilities with the Pythagorean Theorem material. Inferential data were performed using covariance analysis (ANACOVA). The samples of this study were 32 students each from three experimental classes selected by purposive sampling. The results are: (1) of the three learning models conducted using the model of problem-based learning, discovery learning, and open-ended had a positive effect on the ability to solve mathematical problems; (2) the ability to solve mathematical problems of students taught by problem-based learning models is better than the using discovery learning and open-ended models; and (3) there is an interaction between the initial ability of mathematics and learning models.

References

Abidin, J. (2014). Learning System Design in the Context of Curriculum 2013. Bandung: PT Refika Aditama.

Astriani, N., Surya, E., & Syahputra, E. (2017). The Effect Of Problem Based Learning To Students’ Mathematical Problem Solving Ability. International Journal Of Advance Research And Innovative Ideas In Education, 3(2), 3441–3446.

Cunningham Moss, L. (2015). Argumentation through policy-analysis: Designing effective standards-based mathematics for social justice instruction. (Vol. 75).

Damanik, W. J., & Syahputra, E. . (2018). Pengembangan Perangkat Pembelajaran Untuk Menigkatkan Kemampuan Berpikir Kreatif Matematis Siswa Menggunakan Model Discovery Learning. Inspiratif : Jurnal Pendidikan Matematika, 4(1). https://doi.org/10.24114/jpmi.v4i1.9294

DaniÅŸman, Åž., & KaradaÄŸ, E. (2015). Comparison of 2005 and 2013 5th Grade Mathematics Curriculums in the context of Learning Domains and Objectives. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 6(3), 380. https://doi.org/10.16949/turcomat.03423

Friesen, S. (2016). Assessment for Learning in a Math Classroom. https://doi.org/10.1007/978-3-319-23347-5_6

Gordah, E., Fadhilah, & Syarifah. (2014). Teacher’s Efforts to Improve Connection and Solution Abilities Mathematical Problems of Students Through the Open Ended Approach. Journal of Education and Culture, 20(3), 80–92.

Gustiani, D. S., Irman, A., Fadhillah, F. M., Sri, D., & Model, L. (2019). Discovery Learning Model and Statistical Cenic in Improving Mathematical Communication Ability Students. Journal of Innovative Mathematics Learning, 2(1), 29–38.

Handayani, R., Hajidin, Duskri, M., & Maidiyah, E. (2018). Development of learning tools using Treffinger learning model to improve creative thinking. Journal of Physics: Conference Series, 1088. https://doi.org/10.1088/1742-6596/1088/1/012090

Hendriana, H., & Soemarmo, U. (2014). Mathematics Learning Assessment. Bandung: PT Refika Aditama.

Knecht-Sabres, L. J. (2013). Experiential Learning in Occupational Therapy: Can It Enhance Readiness for Clinical Practice? Journal of Experiential Education, 36(1), 22–36. https://doi.org/10.1177/1053825913481584

Maryanti, S., & Kurniawan, D. T. (2018). Pengembangan Media Pembelajaran Video Animasi Stop Motion Untuk Pembelajaran Biologi Dengan Aplikasi Picpac. Jurnal BIOEDUIN : Program Studi Pendidikan Biologi, 8(1), 26–33. https://doi.org/10.15575/bioeduin.v8i1.2922

Mousa, Y. K. (2017). Cooperative Learning Strategies Principles And Techniques. المجلة الليبية العالمية, 1. https://doi.org/10.37376/1570-000-023-005

Mushlihuddin, R., Nurafifah, N., & Irvan, I. (2018). The effectiveness of problem-based learning on students’ problem solving ability in vector analysis course. Journal of Physics: Conference Series, 948(1). https://doi.org/10.1088/1742-6596/948/1/012028

Nasution, E. Y. P. (2017). Meningkatkan Kemampuan Berpikir Kreatif Siswa Melalui Pendekatan Open Ended. Jurnal Inovasi Pendidikan Dan Pembelajaran Matematika, 3(2), 1–15.

Purwaningrum, J. P. (2014). Creative Thinking Ability Viewed from The Aspect of Adversity Quotient Through Mathematics Problem Solving Learning Type “What’s Another Way†(Research Proposal in Junior High School). International Conference on Mathematics, Science, and Education.

Rahma, A. F., Novtiar, C., & Sugandi, A. I. (2018). Meningkatkan Kemampuan Berpikir Kreatif Matematis Siswa Kelas Viii Mts Negeri Sukasari Cimahi Pada Materi Sistem Persamaan Linear Dua Variabel Menggunakan Pendekatan Open-Ended. JPMI (Jurnal Pembelajaran Matematika Inovatif), 1(2), 139. https://doi.org/10.22460/jpmi.v1i2.p139-144

Sejpal, K. (2013). Models of Teaching: The Way of Learning. International Journal for Research in Education, 2(3), 18–24.

Simamora, R. E., Saragih, S., & Hasratuddin, H. (2018). Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context. International Electronic Journal of Mathematics Education, 14(1). https://doi.org/10.12973/iejme/3966

Sugiyono. (2016). Research Methods Quantitative, Qualitative, and R&D. In Bandung: Alfabeta. https://doi.org/10.1017/CBO9781107415324.004

Susanto, E., & Retnawati, H. (2016). Perangkat pembelajaran matematika bercirikan PBL untuk mengembangkan HOTS siswa SMA. Jurnal Riset Pendidikan Matematika, 3(2), 189. https://doi.org/10.21831/jrpm.v3i2.10631

Syahputra, E. (2016). Applied Statistics. Medan: Unimed Press.

Wicaksana, H., & Usodo, B. (2016). Eksperimentasi Model Pembelajaran Problem Based Learning (PBL) dan Discovery Learning (DL) dengan Pendekatan Saintifik pada Materi Himpunan Ditinjau dari Adversity Quotient (AQ) Siswa. Jurnal Elektronik Pembelajaran Matematika, 4(3), 258–269.

Yuliasari, E. (2017). Eksperimentasi Model PBL dan Model GDL Terhadap Kemampuan Pemecahan Masalah Matematis Ditinjau dari Kemandirian Belajar. JIPM (Jurnal Ilmiah Pendidikan Matematika), 6(1), 1. https://doi.org/10.25273/jipm.v6i1.1336

Published

2020-04-24

Issue

Section

Articles