Problem-based learning and authentic assessment on conceptual understanding and ability to solve mathematical problems

Among students of Politeknik Negeri Bali

https://doi.org/10.21744/irjeis.v4n4.254

Authors

  • I Ketut Darma Politeknik Negeri Bali, Indonesia
  • I Made Candiasa Ganesha University of Education, Singaraja, Bali, Indonesia
  • I Wayan Sadia Ganesha University of Education, Singaraja, Bali, Indonesia
  • Nyoman Dantes Ganesha University of Education, Singaraja, Bali, Indonesia

Keywords:

Mathematical, Authentic Assessment, Conceptual Understanding, Ability to Solve Problems, Problem-Based Learning Model

Abstract

This study was aimed at finding out: 1) the difference in concept understanding and  ability to solve mathematical problems between the students who were facilitated with  problem-based learning  model and those facilitated with conventional learning model; 2)  the difference in concept understanding and ability to solve mathematical problems between the students who were facilitated with authentic assessment  and those who were facilitated with conventional assessment; and 3) the effect of interaction  between learning model  and assessment model on  concept understanding and ability to solve mathematical problems. This study was conducted at Politeknik Negeri Bali by using the 2x2 factorial experimental design. The sample consisted of 110 students. The data was collected using a test which has been validated, proved to have a reliability coefficient of 0.83 for concept comprehension test, and 0.88 for the problem-solving test. Furthermore, the data were analyzed with two-way Manova. The result of analysis showed significantly that: (1) there was a difference in concept understanding on mathematical problem-solving ability between the students facilitated with problem-based learning model and those facilitated with conventional model; (2) there was a difference in concept understanding and problem-solving ability between the students who were facilitated with authentic assessment, and those facilitated with conventional assessment; and (3) there was an effect of interaction between learning model and assessment on conceptual understanding and ability to solve mathematical problems.

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References

Arends, R. L. (2012). Overview of student-centered constructivist models of teaching. Learning to Teach, 355-356.
Arhin, A. K. (2015). The Effect of Performance Assessment-Driven Instruction on the Attitude and Achievement of Senior High School Students in Mathematics in Cape Coast Metropolis, Ghana. Journal of Education and Practice, 6(2), 109-116.
Badmus, G. A. (2007). Changing Nature of Technical and Vocational Education and Students’ Assessment. On line atMethods. ganiyubdms@ yahoo. comwww. iaea. info [diakses tanggal 8 Februari 2014].
Barrows, H. S. (1996). Problem?based learning in medicine and beyond: A brief overview. New directions for teaching and learning, 1996(68), 3-12.
Depdiknas, D. P. (2009). Dimensi Kompetensi Supervisi Manajerial (Bahan Belajar Mandiri Musyawarah Kerja Pengawas Sekolah).
Devlin, K. (2011). Mathematics education for a new era: Video games as a medium for learning. AK Peters/CRC Press.
Dryden, G., Vos, J., & Ketola, V. P. (2002). Oppimisen vallankumous: uusien oppimistapojen maailma. Tietosanoma.
Eggen, P., & Kauchak, D. (2012). Strategi dan model pembelajaran mengajarkan konten dan keterampilan berpikir. Jakarta: Indeks.
A. Hadi, S. (2017). Pendidikan Matematika Realistik. PT RajaGrafindo Persada.
Ibrahim, M., & Nur, M. (2000). Pengajaran berdasarkan masalah. Pusat Sains dan Matematika Sekolah. Surabaya: PPS UNESA.
Kemendikbud, P. P. T. K. (2014). Kepramukaan: Bahan Ajar Implementasi Kurikulum 2013 untuk Kepala Sekolah. Jakarta: Pusat Pengembangan Tenaga Kependidikan Badan PSDMPK dan PMP Kemendikbud.
Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding it up: Helping children learn mathematics (Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education, National Research Council).
Kinay, I., & Bagceci, B. (2016). The Investigation of the Effects of Authentic Assessment Approach on Prospective Teachers’ Problem-Solving Skills. International Education Studies, 9(8), 51.
Lister, L. M., Kouznetsova, A., Hyslop, L. A., Kalleas, D., Pace, S. L., Barel, J. C., ... & Jessberger, R. (2010). Age-related meiotic segregation errors in mammalian oocytes are preceded by depletion of cohesin and Sgo2. Current Biology, 20(17), 1511-1521.
Mahayukti, G. A., Gita, I. N., Suarsana, I. M., & Hartawan, I. G. N. Y. (2017). The Effectiveness of Self-Assessment toward Understanding the Mathematics Concept of Junior School Students. International Research Journal of Engineering, IT and Scientific Research (IRJEIS), 3(6), 110-118.
Mueller, J. (2005). The authentic assessment toolbox: enhancing student learning through online faculty development. Journal of Online Learning and Teaching, 1(1), 1-7.
Nasional, B. K. P. (2014). Pedoman Pendidikan Kepramukaan Pada Jenjang Pendidikan Dasar Dan Menengah. Jakarta: Kemdikbud.
National Council of Teachers of Mathematics. (2006, September). Curriculum focal points for prekindergarten through grade 8 mathematics: A quest for coherence. National.
Padmavathy, R. D., & Mareesh, K. (2013). Effectiveness of problem based learning in mathematics. International Multidisciplinary e-Journal, 2(1), 45-51.
Pendidikan, P. M., & Nomor, K. R. I. (2015). 81A Tahun 2013 tentang Implementasi Kurikulum.(2013). Jakarta: Kemendikbud.
Romberg, T. A. (1994). Mathematics: Primary school programs. The International Encyclopedia of Education, 3655-3661.
Ruseffendi, E. T. (2006). Pengantar kepada membantu guru mengembangkan kompetensinya dalam pengajaran matematika untuk meningkatkan CBSA. Bandung: tarsito.
Sadia, I. W. (2014). Model-model Pembelajaran sains konstruktivistik. Yogyakarta: Graha Ilmu.
Sani, R. A., & Kadri, M. (2016). Pendidikan Karakter: Mengembangkan Karakter Anak yang Islami.
Santyasa, I. W. (2015). Validasi Dan Implementasi Model-Model Student Centered Learning Untuk Meningkatkan Penalaran Dan Karakter Siswa Sekolah Menengah Atas. JPI (Jurnal Pendidikan Indonesia), 4(1).
Savery, J. R., & Duffy, T. M. (1995). Problem based learning: An instructional model and its constructivist framework. Educational technology, 35(5), 31-38.
Soedjadi, R. (1994). Memantapkan Matematika Sekolah sebagai Wahana Pendidikan dan Pembudayaan Penalaran. Media Pendidikan Nasional, (4).
Widana, I. W., Parwata, I. M. Y., Parmithi, N. N., Jayantika, I. G. A. T., Sukendra, K., & Sumandya, I. W. (2018). Higher Order Thinking Skills Assessment towards Critical Thinking on Mathematics Lesson. International Journal of Social Sciences and Humanities (IJSSH), 2(1), 24-32.

Published

2018-07-03

How to Cite

Darma, I. K., Candiasa, I. M., Sadia, I. W., & Dantes, N. (2018). Problem-based learning and authentic assessment on conceptual understanding and ability to solve mathematical problems: Among students of Politeknik Negeri Bali. International Research Journal of Engineering, IT and Scientific Research, 4(4), 7–16. https://doi.org/10.21744/irjeis.v4n4.254

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Section

Research Articles