A comparison of reciprocal teaching and scientific approaches for improving pupils' mathematical understanding

Authors

  • Dina Apryani Department of Mathematics Tadris, UIN Fatmawati Sukarno, Bengkulu
  • Rambat Nur Sasongko Department of Doctoral Education, Universitas Bengkulu, Bengkulu
  • Muhammad Kristiawan Department of Doctoral Education, Universitas Bengkulu, Bengkulu
  • Nurul Astuty Yensy B. Department of Mathematics Education, Universitas Bengkulu, Bengkulu
  • Hidayatulloh Hidayatulloh Department of Mathematics Education, Universitas Muhammadiyah Pringsewu, Lampung

DOI:

https://doi.org/10.29408/jel.v8i2.5461

Keywords:

improvement, reciprocal teaching, scientific, understanding

Abstract

This study is intended to result in instruction that will help pupils improve their mathematics understanding skills. The similarity of strategies in both the scientific and reciprocal teaching approaches makes it difficult to choose which approach is better. This investigation aims to investigate and explain (1) Improving pupils' mathematical understanding through comparison of scientific approaches and Reciprocal Teaching based on PAM; (2) The impact of the interaction between learning approaches with pupils' PAM on enriching pupils' mathematics understanding ability. It is a quasi-experimental research project that uses two experimental classes. The results of this study are (1) Pupils who learn through the scientific approach and pupils who learn through reciprocal teaching strategies based on PAM pupils have different mathematical thinking abilities, with the average value of improvement in the scientific approach class being more significant than the reciprocal teaching approach class; (2) Learning and pupils' PAM have no interaction effect. It means that learning in both experimental classes applies to all pupils overall in improving pupils' mathematical understanding ability. Based on the results of this study, this study implies that teachers can employ learning using a scientific approach as one of the learning options for pupils to increase their mathematical understanding abilities.

Author Biographies

Dina Apryani, Department of Mathematics Tadris, UIN Fatmawati Sukarno, Bengkulu

Department of Mathematics Tadris

Rambat Nur Sasongko, Department of Doctoral Education, Universitas Bengkulu, Bengkulu

Department of Doctoral Education

Muhammad Kristiawan, Department of Doctoral Education, Universitas Bengkulu, Bengkulu

Department of Doctoral Education

Nurul Astuty Yensy B., Department of Mathematics Education, Universitas Bengkulu, Bengkulu

Department of Mathematics Education

Hidayatulloh Hidayatulloh, Department of Mathematics Education, Universitas Muhammadiyah Pringsewu, Lampung

Department of Mathematics Education

References

Agustin, S., Fitraini, D., Rahmi, D., & Fitri, I. (2018). Pengaruh model pembelajaran search solve create share (SSCS) terhadap pemahaman konsep matematis ditinjau dari pengetahuan awal siswa [The effect of the search solve create share (SSCS) learning model on understanding mathematical concepts in terms of students’ prior knowledge]. Jurnal Pendidikan Matematika, 2(2), 42–53. https://doi.org/10.31004/cendekia.v2i2.1

Ahad, N. A., Yin, T. S., Yaacob, C. R., & Othman, A. R. (2011). Sensitivity of normality test to non-normal data. Sains Malaysiana, 40(6), 637–641. http://journalarticle.ukm.my/2511/

AlSaraireh, M. Y. A., & Hamid, K. M. N. K. (2016). The effect of the reciprocal teaching model on developing jordanian students’ reading comprehension at Mutah University. International Journal of Linguistics, 8(6), 69–93. https://doi.org/10.5296/ijl.v8i6.10448

Andamon, J. C. & Tan, D. A. (2018). Conceptual understanding, attitude, and performance in mathematics of grade 7 students. International Journal of Scientific & Technology Research, 7(8), 96–105. https://www.ijstr.org/research-paper-publishing.php?month=aug2018

Anisa, R. N., Ruswana, A. M., & Zamnah, L. N. (2021). Analisis kemampuan pemahaman konsep matematis peserta didik SMP pada materi aljabar [Analysis of the ability to understand mathematical concepts of junior high school students on algebraic materials]. J-KIP (Jurnal Keguruan dan Ilmu Pendidikan), 2(3), 237–242. https://doi.org/10.25157/j-kip.v2i3.6271

Apryani, D. & Hadiwinarto. (2021). Improving mathematical connection ability through the approach of scientific and reciprocal teaching. International Journal of Progressive Sciences and Technologies (IJPSAT), 30(1), 84–94. https://ijpsat.es/index.php/ijpsat/article/view/3787

Arends, F., Winnaar, L., & Mosimege, M. (2017). Teacher classroom practices and mathematics performance in South African schools: A reflection on TIMSS 2011. South African Journal of Education, 37(3), 1–11. https://doi.org/10.15700/saje.v37n3a1362

Asfar, A. M. I. T., Asmawaty, A., & Nursyam, A. (2019). Mathematical concept understanding: the impact of integrated learning model. Al-Jabar: Jurnal Pendidikan Matematika, 10(2), 211–222. https://doi.org/10.24042/ajpm.v10i2.3880

Aslam, S., Saleem, A., Hali, A. U., & Zhang, B. (2021). Promoting sustainable development in school classrooms: Using reciprocal teaching in mathematics education. TEM Journal, 10(1), 392–400. https://doi.org/10.18421/TEM101-49

Avsar Erumit, B., Fouad, K. E., & Akerson, V. L. (2019). How does learner-directed scientific investigations influence students’ questioning and their nature of science conceptions? International Journal of Education in Mathematics, Science and Technology, 7(1), 20–31. https://www.ijemst.com/index.php/ijemst/article/view/359

Bakare, J., & Orji, C. T. (2019). Effects of reciprocal peer tutoring and direct learning environment on sophomores’ academic achievement in electronic and computer fundamentals. Education and Information Technologies, 24(2), 1035–1055. https://doi.org/10.1007/s10639-018-9808-1

Basri, H., & Neviyarni, N. (2021). Analisis tahapan dalam belajar verbal (verbal learning) [Analysis of stages in verbal learning]. Edukatif: Jurnal Ilmu Pendidikan, 3(1), 1–7. https://doi.org/10.31004/edukatif.v3i1.171

Chang, M.-M., & Lan, S.-W. (2021). Exploring undergraduate EFL students’ perceptions and experiences of a Moodle-based reciprocal teaching application. Open Learning: The Journal of Open, Distance and e-Learning, 36(1), 29–44. https://doi.org/10.1080/02680513.2019.1708298

Cohen et al. (2007). Research methods in education (sixth edition). Routledge Taylor & Francis Group.

Erwanto, E., Maryatmi, A. S., & Budiyanto, A. (2018). The effects of reciprocal teaching-learning strategy and self efficacy on learning outcomes of early childhood (AUD) mathematical logic. Al-Jabar: Jurnal Pendidikan Matematika, 9(1), 41–50. https://doi.org/10.24042/ajpm.v9i1.2567

Farhani, F., Syarifuddin, H., Yerizon, Y., & Tajudin, N. M. (2020). The effect of think pair check model on students' understanding of mathematical concepts in terms of cognitive style. Jurnal Didaktik Matematika, 7(1), 1–12. https://doi.org/10.24815/jdm.v7i1.14932

Guita, G. B. & Tan, D. A. (2018). Mathematics anxiety and students’ academic achievement in a reciprocal learning environment. International Journal of English and Education, 7(3), 112–124.

Hake, R. R. (1999). Analyzing change/gain scores. American Educational Research Association’s Division D, 1–4. http://lists.asu.edu/cgi-bin/wa?A2=ind9903&L=aera-d&P=R6855

Hidayah, R., Latifah, S., Komikesari, H., & Yusuf, I. (2021). Reciprocal teaching-learning: Is it effective to improve students' higher order thinking skills and scientific process skills? Indonesian Journal of Science and Mathematics Education, 4(1), 69–77. https://doi.org/10.24042/ijsme.v4i1.8675

Hutauruk, E. E., Anzelina, D., Abi, A. R., & Silaban, P. J. (2021). Penerapan model pembelajaran reciprocal teaching untuk meningkatkan hasil belajar siswa di sekolah dasar [Application of reciprocal teaching learning model to improve student learning outcomes in elementary schools]. Jurnal Basicedu, 5(4), 2116–2121. https://doi.org/10.31004/basicedu.v5i4.1011

Ikhsan, M. & Rizal, S. (2014). Meningkatkan kemampuan pemahaman dan komunikasi matematis siswa sekolah menengah atas melalui model pembelajaran generatif [Improving mathematical understanding and communication skills of high school students through generative learning models]. Jurnal Didaktik Matematika, 1(2), 75–84. http://jurnal.unsyiah.ac.id/DM/article/view/2079

In’am, A. & Hajar, S. (2017). Learning geometry through discovery learning using a scientific approach. International Journal of Instruction, 10(01), 55–70. https://doi.org/10.12973/iji.2017.1014a

LeBlanc, J. K., Cavlazoglu, B., Scogin, S. C., & Stuessy, C. L. (2017). The art of teacher talk: Examining intersections of the strands of scientific proficiencies and inquiry. International Journal of Education in Mathematics, Science and Technology, 5(3), 171–186.

Magdalena, I., Fauziah, S., Sari, P. W., & Berliana, N. (2020). Analisis faktor siswa tidak memperhatikan penjelasan guru [Factor analysis students don’t pay attention to teacher’s explanations]. Nusantara: Jurnal Pendidikan dan Ilmu Sosial, 2, 283–295.

Maulyda, M. A., Hidayati, V. R., Rosyidah, A. N. K., & Nurmawanti, I. (2019). Problem-solving ability of primary school teachers based on Polya’s method in Mataram City. Pythagoras: Jurnal Pendidikan Matematika, 14(2), 139–149. https://doi.org/10.21831/pg.v14i2.28686

McAllum, R. (2014). Reciprocal teaching: Critical reflection on practice. Kairaranga, 15(1), 26–35. https://doi.org/10.54322/kairaranga.v15i1.183

Mengistie, S. M. (2020). Enhancing students’ understanding of linear equation with one variable through teaching. International Journal of Trends in Mathematics Education Research, 3(2), 69–80.

Meyer, K. (2014). Making meaning in mathematics problem-solving using the Reciprocal Teaching approach. Literacy Learning: The Middle Years, 22(2), 7–14. https://www.alea.edu.au/members-centre/past-journals/literacy-learning-the-middle-years-llmy/

Mulyasari, E., & Sudarya, Y. (2017). Penerapan pendekatan saintifik untuk meningkatkan keterampilan bertanya siswa kelas V sekolah dasar [Application of scientific approach to improve questioning skills of grade V elementary school students]. Jurnal Pendidikan Guru Sekolah Dasar, 2(2), 13–25. https://ejournal.upi.edu/index.php/jpgsd/article/view/13256

Mulyati, M. (2016). Peningkatan kemampuan pemahaman dan representasi matematis siswa sma melalui strategi preview-question-read-reflect-recite-review [Improving the understanding and mathematical representation of high school students through the preview-question-read-reflect-recite-review strategy]. Jurnal Analisa, 2(3), 36–55. https://doi.org/10.15575/ja.v2i3.1223

Nuralam, N. & Eliyana, E. (2017). Penerapan pendekatan saintifik terhadap kemampuan pemecahan masalah matematika di SMAN 1 Darul Imarah Aceh Besar [Application of a scientific approach to mathematical problem solving ability at SMAN 1 Darul Imarah Aceh Besar]. Jurnal Ilmiah Didaktika, 18(1), 64–76. https://doi.org/10.22373/jid.v18i1.3085

Nurjanah, N., Dahlan, J. A., & Wibisono, Y. (2021). The effect of hands-on and computer-based learning activities on conceptual understanding and mathematical reasoning. International Journal of Instruction, 14(1), 143–160. https://doi.org/10.29333/iji.2021.1419a

O’Connell. (2007). Introduction to Connection. Heinemann.

Pahrudin, A. & Pratiwi, D. D. (2019). Pendekatan saintifik dalam implementasi kurikulum 2013 dan dampaknya terhadap kualitas proses dan hasil pembelajaran pada MAN di Provinsi Lampung [Scientific approach in the implementation of the 2013 curriculum and its impact on the quality of the process and learning outcomes at MAN in Lampung Province]. Pustaka Ali Imron.

Palinscar, A. S. & Brown, A. L. (1984). Reciprocal teaching of comprehension-fostering and comprehension-monitoring activities. Cognition and Instruction, 1(2), 117–175. https://doi.org/10.1207/s1532690xci0102_1

Palupi, E. L. W., Sumarto, S. N., & Purbaningrum, M. (2022). Senior high school student's understanding of mathematical inequality. Jurnal Elemen, 8(1), 201–215. https://doi.org/10.29408/jel.v8i1.4537

Pamungkas, A. S., Setiani, Y., & Pujiastuti, H. (2017). Peranan pengetahuan awal dan self esteem matematis terhadap kemampuan berpikir logis mahasiswa [The role of early knowledge and mathematical self esteem on students’ logical thinking ability]. Kreano, Jurnal Matematika Kreatif-Inovatif, 8(1), 61–68. https://doi.org/10.15294/kreano.v8i1.7866

Prasetio, D. A., Sumarmo, U., & Sugandi, A. I. (2018). Improving student’s mathematical reasoning and self concept by using reciprocal teaching. JIML, 1(3), 283–294. https://doi.org/10.22460/jiml.v1i3.p283-294

Putra, H. D., Herman, T., & Sumarmo, U. (2020). The impact of scientific approach and what-if-not strategy utilization towards student's mathematical problem-posing ability. International Journal of Instruction, 13(1), 669–684. https://doi.org/10.29333/iji.2020.13143a

Raj Acharya, B. (2017). Factors affecting difficulties in learning mathematics by mathematics learners. International Journal of Elementary Education, 6(2), 8–15. https://doi.org/10.11648/j.ijeedu.20170602.11

Ramdhani, M. R., Usodo, B., & Subanti, S. (2017). Students' mathematical understanding ability is based on self-efficacy. Journal of Physics: Conference Series, 909(1), 012065. https://doi.org/10.1088/1742-6596/909/1/012065

Ruseffendi, H. E. T. (2005). Dasar-dasar penelitian pendidikan dan bidang noneksakta lainnya [Fundamentals of educational research and other nonexact fields]. Tarsito.

Siniguian, M. T. (2017). Students' difficulty in solving mathematical problems. IJAREAS: International Journal of Advanced Research in Engineering and Applied Sciences, 6(2), 1–12.

Skipp, C. S. & Dommett, E. J. (2021). Understanding and addressing the deficiencies in UK mathematics education: Taking an international perspective. Education Sciences, 11(3), 141–155. https://doi.org/10.3390/educsci11030141

Sugiyono. (2007). Statistik untuk penelitian [Statistics for research]. Alfabeta.

Sumarmo, U. (2013). Berpikir dan disposisi matematik serta pembelajarannya [Mathematical thinking and disposition and learning]. UPI Press.

Tianingrum, R., & Sopiany, H. N. (2017). Analisis kemampuan pemahaman matematis siswa SMP pada materi bangun ruang sisi datar [Analysis of the mathematical comprehension ability of junior high school students on the material of constructing flat sided space]. Prosiding Seminar Nasional Matematika dan Pendidikan Matematika (SESIOMADIKA), 440–446. http://pmat-unsika.eu5.org/prosiding1.html

Trakulphadetkrai, N. V., Courtney, L., Clenton, J., Treffers-Daller, J., & Tsakalaki, A. (2020). The contribution of general language ability, reading comprehension, and working memory to mathematics achievement among children with English as an additional language (EAL): An exploratory study. International Journal of Bilingual Education and Bilingualism, 23(4), 473–487. https://doi.org/10.1080/13670050.2017.1373742

Ulpah, M., & Novikasari, I. (2020). Developing islamic context-based learning materials in increasing students’ mathematical understanding. Al-Jabar: Jurnal Pendidikan Matematika, 11(1), 29–38. https://doi.org/10.24042/ajpm.v11i1.5432

Wahyono, Abdulhak, I., & Rusman. (2017). Implementation of scientific approach based learning to think high levels in state senior high school in Ketapang. International Journal of Education and Research, 5(8), 221–230. https://www.ijern.com/August-2017.php

Warsito, Hairul, S., & Sukirwan. (2020). Interaksi antara pembelajaran dan pengetahuan terhadap abstraksi matematis siswa SMP [Interaction between learning and knowledge on mathematical abstraction for junior high school students]. Journal of Authentic Research on Mathematics Education (JARME), 2(1), 11–19. https://jurnal.unsil.ac.id/index.php/jarme/article/view/1333/997

Yanti, R., Laswadi, L., Ningsih, F., Putra, A., & Ulandari, N. (2019). Penerapan pendekatan saintifik berbantuan geogebra dalam upaya meningkatkan pemahaman konsep matematis siswa [The application of a geogebra-assisted scientific approach in an effort to improve students’ understanding of mathematical concepts. AKSIOMA: Journal of Mathematics and Mathematics Education]. AKSIOM : Jurnal Matematika dan Pendidikan Matematika, 10(2), 180–194. https://doi.org/10.26877/aks.v10i2.4399

Zaman, A. (2019). Effects of reciprocal teaching on students’ achievement in physics at secondary level. Journal of Science Education, 1(2), 31–44. http://journal.aiou.edu.pk/journal1/index.php/jse/article/view/237

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Published

01-07-2022

How to Cite

Apryani, D., Sasongko, R. N., Kristiawan, M., Yensy B., N. A., & Hidayatulloh, H. (2022). A comparison of reciprocal teaching and scientific approaches for improving pupils’ mathematical understanding. Jurnal Elemen, 8(2), 510–524. https://doi.org/10.29408/jel.v8i2.5461

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