Mathematical Reasoning Ability and Resilience (Experiment With Senior High Students Using Inductive and Deductive Approach and Based On Student’s Cognitive Stage)

Siti Maesaroh, Utari Sumarmo, Wahyu Hidayat

Abstract


The background of this study is that the unsatisfactory student’s grade  on mathematical reasoning ability (MRA) tasks.  Even though MRA is an ability that needs to be possessed by high school students. To overcome this problem, we carried out an experiment for improving  students' MRA and mathematical resiliency (MR) through Inductive -deductive approach (IDA) and based on student’s cognitive stage (CS). The research involved 68 eleventh grade students with 16.5 years old from a high school in Bandung Indonesia. The instruments of this study were the MRA, TOLT and MR scale. The study found that as many as 29.4% student were at concrete  stage, 51.5 % at transition stage, and  19.1% at formal stage.  Overall and based on student’s cognitive stage, the study found that the grades of MRA and MR of students who obtained IDA were better than the grades of students who taught by  discovery learning approach (DLA). Based on students' cognitive stages, there was no difference grades of MRA and MR in the two teaching approaches. Beside that, study found that there were no interaction between teaching approaches and cognitive stage on student’s MRAand MR and  the IDA took  higher  role than the cognitive stage on obtaining student’s MRA,  and MR.  It was also found that students taught by DLA experienced more difficulty in completing MRA tasks. Beside that,  there was moderate  association between  MRA, and MR, but there were no association between MRA and CS and between MR and CS.  In addition, students performed active learning  during the IDA lessons such as to discuss acitvely, to solve problems enthutiastically, and to present their work in front of the class voluntary

Keywords


mathematical reasoning ability, resilience, cognitive stage, TOLT, inductive-deductive approach

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References


Aminah, M., Kusumah, Y.S., Suryadi, D., and Sumarmo,U. (2018). “The Effect of Metacognitive Teaching and Mathematical Prior Knowledge on Mathematical Logical Thinking Ability and Self-Regulated Learning”. Paper published in International Journal of Instruction. July, 2018. Vol. 11-number.3.

Ayal, C.S., Kusumah, Y.S., Sabandar, J. Dahlan, J.A. (2016). “The Enhancement of Mathematical Reasoning Ability of Junior High School Students by Applying Mind Mapping Strategy”. Journal of Education and Practice 7 (25), 50-58, 2016

Ariyanto, L, Herman, T, Sumarmo, U, Suryadi, D. (2017). “Developing Mathematical Resilience of Prospective Math Teachers”. Journal of Physics: Conference

Bagus. (2013). Pendekatan Induktif dan Deduktif. [Online]. Available in: http://cahbaguz-uhuy.blogspot.com/2013/02/pendekatan-induktif-dan-deduktif. html. (diakses 23mei 2017).

Bernard, M. and Rohaeti, E,E. (2016). “Meningkatkan Kemampuan Penalaran dan Disposisi Matematik Siswa SMK dengan Pendekatan Kontekstual melalui Game Adobe Flash Cs 4.0.”. Paper published in: Edusentris: Jurnal Ilmu Pendidikan dan Pengajaran.Vol.3. No.1. April. 2016, pp. 85-94.

Brodie K. (2010). Teaching Mathematical Reasoning in Secondary School Classroom. Springer Newyork, , 2010, h. 7.

Bruce, J., Weil, M., & Calhoun, E. (2000). Models of teaching. Yogyakarta: Pustaka Pelajar

Cahyani, A., Sayoga, R., Maesaroh, S., Novita, T., Saadah, L.,Munawar, S.,Fitriani, R., Munawaroh, S. Raharjo, Z.P, Sumarmo, U (2018). Laporan Observasi: Proses Berpikir Matematis di SMAN 1 Batujajar, Bandung. Available in Post Graduate Study Document, IKIP Siliwangi.

Departemen Pendidikan Nasional (2013). Peraturan Menteri Pendidikan dan Kebudayaan Republik Indonesia Nomor 81A Tahun 2013, tentang Implementasi Kurikulum, 2013

Gunawan, Prawoto, A., Sumarmo, U. (2019). “Mathematical Reasoning And Self Regulated Learning According to Student’s Cognitive Stage” . Jurnal Pembelajaran Matematika Inovatif (JPMI) Volume 2,No.1 . 2019. Hal. 39 -52)

Hasibah. B. Rohaeti, E.E., Aryan, B. (2018). Application of Inductive-Deductive Approach To Improve The Ability of Mathematical Communication and Self Efficacy of Junior High School Student Jurnal Pembelajaran Matematika Inovatif (JPMI)Volume 1 Number 2, June 2018, pp. 70-75

Hendriana, H., Sumarmo, U., Carli., Ristiana, M.G. (2019). Enhancing students mathematical creative skill and resilience by using problem posing approach.” Journal of Physics Conference Series 1318:012065. DOI: 10.1088/1742-6596/1318/1/012065

Hendriana, H dan Sumarmo, U (2014). Penilaian Pembelajaran Matematika. Bandung: Penerbit PT Refika Aditama. Bandung.

Hendriana, H., Rohaeti, E.E., Sumarmo, U. (2014) Hard Skill dan Soft Skill Mathematika. Bandung: Penerbit PT Refika Aditama. Bandung.

Hidayat, T.I.A, Sabandar, J., Syaban, M (2018). “Inductive-Deductive Learning Approach To Develop Students’ Mathematical Problem Solving Skills And Self Efficacy”. Jurnal Pembelajaran Matematika Inovatif (JPMI) Volume 1 Number 2, June 2018, pp. 76-85

Hutauruk, A. J. B., & Priatna, N. (2017). Mathematical Resilience of Mathematics Education Students. Journal of Physics: Conference Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012067

Hutauruk, A. J. B., Priatna, N., & Darmayasa, J. . (2019). Achievement of students mathematical resilience through problem based learning model with metacognitive approach. Journal of Physics: Conference Series. https://doi.org/10.1088/1742-6596/1315/1/012051

Johnston-Wilder, S. & Lee, C. (2010a). “Mathematical Resilience”. Mathematics Teaching, 218, 38–41.

Johnston-Wilder, S. & Lee, C. (2010b). Developing Mathematical Resilience. Paper presented at the BERA annual conference at Warwick University.

Johnston-Wilder,S., Lee, C., Garton, E. , S. Goodlad, J. Brindley ,(2013). Developing Coaches For Mathematical Resilience. A report of an Project of research experiment

Kooken, J., Welsh, M. E., Mccoach, D. B., Johnson-Wilder, S. and Lee, C. (2013). Measuring mathematical resilience: an application of the construct of resilience to the research of mathematics. In: American Educational Research Association (AERA) 2013 Annual Meeting: Education and Poverty: Theory, Research, Policy and Praxis, 27 April - 1 May 2013, San Francisco, CA, US

Lugalia M., Sue Johnston-Wilder, S. and Goodall, J.(2013), The Role of ICT in Developing Mathematical Resilience in Learners. Laporan Penelitian di The University of Warwick, Institute of Education, Coventry (UNITED KINGDOM)

Mulyana, A & Hendriana, H. (2015). ”Meningkatkan Kemampuan Penalaran Matematik dan Kemandirian Belajar Siswa SMP melalui Pembelajaran Berbasis Masalah”. Paper published in Edusentris, Jurnal Ilmu Pendidikan dan Pengajaran, Vol. 2, No. July 2015.

Murni, S. & Sugandi, A.I. (2017). “The Role Of Mathematics Realistic Education Approach On Students’ Mathematical Critical Thinking And Resilience”. Infinity. Volume 1 Number 1, March 2018, pp. 41-52.

Maryam S.M. (2018). Analisis Kemampuan Penalaran Matematis dan Mathematical Resilience Siswa SMA. APOTEMA : Jurnal Program Studi Pendidikan Matematika. Volume 4, No. 1. Januari 2018

Napitupulu, E. E. (2017). Analyzing the Teaching and Learning of Mathematical Reasoning Skills in Secondary School. Asian Social Science, 13(12), 167. https://doi.org/10.5539/ass.v13n12p167

Shadiq, F. (2014). Pembelajaran Matematika Cara Meningkatkan Kemampuan Berpikir Siswa. Yogyakarta. Graha Ilmu

Nadia, R., Rohaeti, E.E.Kustiana, A. (2018). Application of Inductive Approach to Improve Mathematical Communication Capabilities and Student’s Self Efficacy Junior High School. Jurnal Pembelajaran Matematika Inovatif (JPMI) Volume 1 Number 2, June 2018, pp. 53-59

Peraturan Menteri Pendidikan Nasional No. 81a Tahun 2013 tanggal 27 Juni 2013 tentang Implementasi Kurikulum Standar Isi.

Polya, G. (1975). How to Solve It. A New Aspect of Mathematical Method (2nd ed.). New Jersey: Princenton University Press

Prasetio, D. A., Sumarmo, U., Sugandi, A.I. (2018). “Improving Student’s Mathematical Reasoning And Self Concept By Using Reciprocal Teaching”. Paper published in JPMI, Volume 1 Number 3, September 2018, pp. 283-294

Rijaya, Sumarmo, U., Syaban, M. (2018). Improving Student’s Mathematical Reasoning and Self Concept by Using Reciprocal Teaching. Paper published in Journal of Innovative Mathematics Learning 1 (2), 86-94. 2018

Rohaeti, E.E. Budiyanto, A.M., Sumarmo, U (2014). “Enhancing Mathematical Logical Thinking Ability and Self Regulated Learning of Students through Problem Based Learning”. Paper published in International Journal of Education Vol.8, No. 1. Desember 2014. pp 54-63. Graduate School, Indonesia University of Education.

Saepul I.R., Puspowati, A.K., Utari Sumarmo, U. (2019).” Mathematical Creative Thinking And Habits Of Mind Grounded On Student’s Cognitive Stage”. Jurnal Pembelajaran Matematika Inovatif (JPMI) Vol. 1. No.4. 2019. Hal. 374-382.

Sumarmo, U. (2015a). Resiliensi Matematik (Mathematical Resilience). Available in Website: utari-sumarmo@dosen.stkipsiliwangi.ac,id

Sumarmo, U. (2015b). Rubrik Pemberian Skor Tes Kemampuan Matematika. Available in http/www.utari-sumarmo.dosen.stkipsiliwangi.ac.id [30 Juli2016]

Sumarmo, U. (2019). Kemampuan Pemahaman dan Penalaran Matematis Dikaitkan dengan Tahap Kognitif Siswa SMA (Summary of Disertation of Utari Sumarmo, 1987, in Post graduate of IKIP Bandung). Available in Website of IKIP Siliwangi, 2020

Sumarmo, U. Pedoman Pemberian Skor Pada Beragam Tes Kemampuan Matematik. Kelengkapan Bahan Ajar Mata Kuliah Evaluasi Pembelajaran Matematika pada Program Magister Pendidikan Matematika STKIP Siliwangi Bandung. Diownload 19 Oktober 2018 pada http://utari- sumarmo.dosen.stkipsiliwangi.ac.id/files/2016/05/Pedoman-Pemberian- Skor-Tes-Kemampuan-Berpikir-Matematik-dan-MPP-2016-1.pdf

Sumaryati, E., Sumarmo U. (2013) . Pendekatan Induktif-Deduktif Disertai Strategi Think-Pair-Square-Share untuk Meningkatkan Kemampuan Pemahaman dan Berpikir Kritis Serta Disposisi Matematis Siswa Sma. Infinity Jurnal Ilmiah Program Studi Matematika STKIP Siliwangi Bandung. Vol 2, No.1. Februari 2013.

Sumarni, C. and Sumarmo, U. (2017) Penalaran Matematik dan Kemandirian Belajar:

Eksperimen terhadap Siswa SMP melalui Pembelajaran Generatif. Paper published in Edusentris: Jurnal Ilmu Pendidikan dan Pengajaran.Vol.3. No.1. April. 2017, pp. 290-29




DOI: http://dx.doi.org/10.22460/jiml.v3i3.p87-101

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