How to Train Students' Mathematical Communication Skills Through Generative Learning?: An Evaluation of Circle Material

Eva Dwi Minarti; Wahyudin Wahyudin; Bambang Avip Priatna Martadiputra

doi:10.31764/jtam.v5i2.4719

How to Train Students' Mathematical Communication Skills Through Generative Learning?: An Evaluation of Circle Material

Eva Dwi Minarti, Wahyudin Wahyudin, Bambang Avip Priatna Martadiputra

Abstract

The purpose of this study is to apply the Generative Learning model to circle material in order to train students' communication skills. In previous research from the author and several studies that have been conducted by researchers, it was found that the Generative Learning model can improve Students' Mathematical Communication skills. On this occasion, it was explained how the Generative Learning Model can train students' communication skills. The research subjects were 25 students of class VIII from one of the State Junior High Schools in Bandung for the 2019/2020 academic year. The method in this research is qualitative. Data obtained through observation and interviews during learning circle material using a generative learning model takes place. The results showed that through the steps in the generative learning model, namely the orientation; the idea stage; the challenge and restructuring; the implementation and; the review stage, can: (1) increase student interaction in learning, (2) stimulate students to create mathematical models; (3) train students in arguing based on analysis of images and concepts; (4) explain ideas, mathematically in writing with pictures.

Keywords

Communication Skills; Generative Learning; Circle Material.

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References

Attride-Stirling, J. (2001). Thematic networks: An analytic tool for qualitative research. QualitativeResearch, 1(3), 385–405. https://doi.org/10.1177/146879410100100307

Breitwieser, J., & Brod, G. (2021). Cognitive Prerequisites for Generative Learning: Why Some Learning Strategies Are More Effective Than Others. Child Development, 92(1), 258–272. https://doi.org/10.1111/cdev.13393

Brod, G. (2020). Generative Learning: Which Strategies for What Age? Educational Psychology Review. https://doi.org/10.1007/s10648-020-09571-9

Buscombe, C. (2013). Using Gagne’s theory to teach procedural skills. Clinical Teacher, 10(5), 302–307. https://doi.org/10.1111/tct.12051

Chasanah, C., Riyadi, & Usodo, B. (2020). The effectiveness of learning models on written mathematical communication skills viewed from students’ cognitive styles. European Journal of Educational Research, 9(3), 979–994. https://doi.org/10.12973/EU-JER.9.3.979

da Ponte, J. P., & Quaresma, M. (2016). Teachers’ professional practice conducting mathematical discussions. Educational Studies in Mathematics, 93(1), 51–66. https://doi.org/10.1007/s10649-016-9681-z

Decuypere, M. (2020). Visual Network Analysis: a qualitative method for researching sociomaterial practice. Qualitative Research, 20(1), 73–90. https://doi.org/10.1177/1468794118816613

Ferrés, J., & Masanet, M. J. (2017). Communication efficiency in education: Increasing emotions and storytelling. Comunicar, 25(52), 51–60. https://doi.org/10.3916/C52-2017-05

Fiorella, L., & Mayer, R. E. (2016). Eight Ways to Promote Generative Learning. Educational Psychology Review, 28(4), 717–741. https://doi.org/10.1007/s10648-015-9348-9

Grabowski, B. L. (2004). Generative learning contributions to the design of instruction and learning. Generative Learning Contributions To The Design Of Instruction And Learning, December, 719–743.

Ho, A. N., & Guthrie, J. T. (2013). Patterns of Association Among Multiple Motivations and Aspects of Achievement in Reading. Reading Psychology, 34(2), 101–147. https://doi.org/10.1080/02702711.2011.596255

Huelser, B. J., & Metcalfe, J. (2012). Making related errors facilitates learning, but learners do not know it. Memory and Cognition, 40(4), 514–527. https://doi.org/10.3758/s13421-011-0167-z

Karpov, A. O. (2016). Generative learning in research education for the knowledge society. Mathematics Education, 11(6), 1621–1633.

Kaya, D., & Aydin, H. (2016). Elementary mathematics teachers’ perceptions and lived experiences on mathematical communication. Eurasia Journal of Mathematics, Science and Technology Education, 12(6), 1619–1629. https://doi.org/10.12973/eurasia.2014.1203a

Kosko, K. W., & Gao, Y. (2017). Mathematical Communication in State Standards Before the Common Core. Educational Policy, 31(3), 275–302. https://doi.org/10.1177/0895904815595723

Lee, J. (2015). “Oh, I just had it in my head”: Promoting mathematical communications in early childhood. Contemporary Issues in Early Childhood, 16(3), 284–287. https://doi.org/10.1177/1463949115600054

Maknun, J. (2015). The Implementation of Generative Learning Model on Physics Lesson to Increase Mastery Concepts and Generic Science Skills of Vocational Students. American Journal of Educational Research, 3(6), 742–748. https://doi.org/10.12691/education-3-6-12

Minarti, E. D., Wahyudin, & Alghadari, F. (2018). Student’s conceptions and geometry problem-solving of the distance in cube. Journal of Physics: Conference Series, 1132(1). https://doi.org/10.1088/1742-6596/1132/1/012033

Minarti, E.D., & Wahyudin. (2019). How influential the mathematical disposition of mathematical communication skills is? (the evaluation of middle school students). Journal of Physics: Conference Series, 1402(7). https://doi.org/10.1088/1742-6596/1402/7/077086

Minarti, Eva Dwi, & Nurfauziah, P. (2016). Pendekatan Konsturktivisme Dengan Model Pembelajaran Generatif Guna Meningkatkan Kemampuan Komunikasi Dan Koneksi Matematis Serta Self Efficacy Mahasiswa Calon Guru Di Kota Cimahi. P2M STKIP Siliwangi, 3(2), 68. https://doi.org/10.22460/p2m.v3i2p68-83.629

Mufid, M. (2005). Komunikasi dan Gegulasi Penyiaran. KENCANA, Devisi PRENADAMEDIA Group: Jakarta.

Pilegard, C., & Fiorella, L. (2016). Helping students help themselves: Generative learning strategies improve middle school students’ self-regulation in a cognitive tutor. Computers in Human Behavior, 65, 121–126. https://doi.org/10.1016/j.chb.2016.08.020

Ponce, H. R., Mayer, R. E., Loyola, M. S., & López, M. J. (2020). Study Activities That Foster Generative Learning: Notetaking, Graphic Organizer, and Questioning. Journal of Educational Computing Research, 58(2), 275–296. https://doi.org/10.1177/0735633119865554

Potts, R., Davies, G., & Shanks, D. R. (2019). The benefit of generating errors during learning: What is the locus of the effect? Journal of Experimental Psychology: Learning Memory and Cognition, 45(6), 1023–1041. https://doi.org/10.1037/xlm0000637

Prawita, W., Prayitno, B. A., & Sugiyarto. (2019). Effectiveness of a generative learning-based biology module to improve the analytical thinking skills of the students with high and low reading motivation. International Journal of Instruction, 12(1), 1459–1476. https://doi.org/10.29333/iji.2019.12193a

Ramadhan, I., & Minarti, E. D. (2018). Kajian Kemampuan Komunikasi Matematik Siswa SMP Dalam Menyelesaikan Soal Lingkaran Pembelajaran Matematika Yang Memiliki IX SMP Pada Materi lingkaran. Journal of Mathematics Education IKIP Veteran Semarang, 2(2), 151–161. http://e-journal.ivet.ac.id/index.php/matematika/article/view/624

Reid, A. J., & Morrison, G. R. (2014). Generative learning strategy use and self-regulatory prompting in digital text. Journal of Information Technology Education:Research, 13(1), 49–72. https://doi.org/10.28945/1948

Ritchie, D., & Volkl, C. (2000). Effectiveness of Two Generative Learning Strategies in the Science Classroom. School Science and Mathematics, 100(2), 83–89. https://doi.org/10.1111/j.1949-8594.2000.tb17240.x

Rodriguez, C., & Bonner, E. P. (2018). the Impact of Teacher Questioning and Open-Ended Problems on Mathematical Communication. THE JOURNAL OF TEACHER ACTION RESEARCH 68 Journal of Teacher Action Research, 4(3), 2332.

Rohid, N., Suryaman, S., & Rusmawati, R. D. (2019). Students’ Mathematical Communication Skills (MCS) in Solving Mathematics Problems: A Case in Indonesian Context. Anatolian Journal of Education, 4(2), 19–30. https://doi.org/10.29333/aje.2019.423a

Smith, R. A., & Applegate, A. (2018). Mental health stigma and communication and their intersections with education. Communication Education, 67(3), 382–393. https://doi.org/10.1080/03634523.2018.1465988

Susanti, N., Juandi, D., & Tamur, M. (2020). The Effect of Problem-Based Learning (PBL) Model On Mathematical Communication Skills of Junior High School Students – A Meta-Analysis Study. JTAM (Jurnal Teori Dan Aplikasi Matematika), 4(2), 145. https://doi.org/10.31764/jtam.v4i2.2481

Tiffany, F. ;, Surya, E., Asmin, P., & Syahputra, E. (2017). Analysis of Student Mathematical Problem Solving Skills At Budi Analysis Mathematical Communication Skills Student At the Grade. Ijariie, 3(February), 2160–2164.

Tobias, S. (2010). Generative learning theory, paradigm shifts, and constructivism in educational psychology: A tribute to Merl Wittrock. Educational Psychologist, 45(1), 51–54. https://doi.org/10.1080/00461520903433612

Triana, M., & Zubainur, C. M. (2019). Students ’ Mathematical Communication Ability through the Brain-Based Learning Approach using Autograph. 4(1), 1–10.

Waldeyer, J., Heitmann, S., Moning, J., & Roelle, J. (2020). Can Generative Learning Tasks be Optimized by Incorporation of Retrieval Practice? Journal of Applied Research in Memory and Cognition, 9(3), 355–369. https://doi.org/10.1016/j.jarmac.2020.05.001

Wardono;, Rochmad;, Uswatun, K., & Mariani, S. (2020). Comparison between Generative Learning and Discovery Learning in Improving Written Mathematical Communication Ability. International Journal of Instruction E-ISSN: 1308-1470, 13(3), 729–744.

Wester, J. S. (2020). Students’ Possibilities to Learn From Group Discussions Integrated in Whole-class Teaching in Mathematics. Scandinavian Journal of Educational Research, 0(0), 1–17. https://doi.org/10.1080/00313831.2020.1788148

Wittrock, M. C. (2010). Generative Learning Processes of the Brain Generative Learning Processes of the Brain. 1520(1992), 37–41.

Wu, H., & Leung, S. O. (2017). Can Likert Scales be Treated as Interval Scales?—A Simulation Study. Journal of Social Service Research, 43(4), 527–532. https://doi.org/10.1080/01488376.2017.1329775

Yaniawati, R. P., Indrawan, R., & Setiawan, G. (2019). Core model on improving mathematical communication and connection, analysis of students’ mathematical disposition. International Journal of Instruction, 12(4), 639–654. https://doi.org/10.29333/iji.2019.12441a

Yu, R., & Singh, K. (2018). Teacher support, instructional practices, student motivation, and mathematics achievement in high school. Journal of Educational Research, 111(1), 81–94. https://doi.org/10.1080/00220671.2016.1204260

DOI: https://doi.org/10.31764/jtam.v5i2.4719