Concept understanding and mathematical representation ability: DMR model with a reciprocal teaching approach
Keywords:
Concept Understanding, DMR, Mathematical Representation, Reciprocal Teaching
Abstract
Understanding mathematical concepts and representations in mathematics learning is an understanding that needs to be mastered by students in order to show students in the learning process and solve various mathematical problems. In this article we report how MTs students in South Lampung Regency understand concepts and mathematical representations after being treated with DMR learning with a reciprocal teaching approach. This researcher used the Quasy Experimental Design research type with a 2x2 factorial design. The population of this study were MTs students in Central Lampung Regency with samples taken using Cluster Random sampling techniques totaling 60 students (experimental class n = 30 and control class n = 30). The instruments used to collect data were essay tests for understanding concepts and mathematical representations. The data analysis technique in this research is Multivariate Analysis of Variant (MANOVA) with a large significance value . Based on the calculations that have been carried out, the results show that the p-value of understanding concepts is 0.000 and mathematical representation is 0.000, so that the p-value of each understanding is less than 0.05, it can be concluded that there is an influence of the DMR learning model with reciprocal teaching on students' understanding of concepts and mathematical representations simultaneously or partially. The results of understanding mathematical representations were better than understanding concepts for the two learning treatments given.
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References
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Yufentya, W Eggy, Yenita Roza, and Maimunah. 2019. "Analysis of Class VIII Middle School Students' Concept Understanding Ability on Circle Material." Decimal : Journal of Mathematics 2(3): 197–202.
Yuna, Angsa Yuna, Mujib, and Resti Ayuni Suri. 2018. "Scramble and Time Token Arends (TTA) Learning Model to Improve Students' Understanding of Mathematical Concepts." national seminar on Mathematics and Mathematics Education: 475–80.
Andira, Trini, Budi Santoso, and Muhammad Yusup. 2018. "Application of the Reciprocal Teaching Learning Model in View of Students' Mathematical Reasoning Ability in Quadrilateral Plane Material." 13(1): 88–98.
Antika, Mita Surya, Lies Andriani, and Rena Revita. 2019. "The Effect of Applying the Think-Pair-Square Type Cooperative Learning Model on the Ability to Understand Mathematical Concepts in View of Middle School Students' Initial Mathematics Ability." Juring (Journal for Research in Mathematics Learning) 2(2): 118–29.
Azhar, Arsyad. 2007. Learning Media. Jakarta: Raja Grafindo Persada.
Azizah, LN, I Junaedi, and Suhito. 2019. "Mathematical Representation Abilities Seen from the Cognitive Style of Class X Students in Mathematics Learning Using the Problem Based Learning Model." journal.unnes.ac.id/sju/index.php/prisma/ ISSN 2: 355–65.
Budarsini, Kadek Pasek, I Made Suarsana, and I Nengah Suparta. 2018. "Multi Representation Discourse Model and the Ability to Understand Mathematical Concepts of Junior High School Students." Journal of Mathematics Education 13(2): 110–18.
Chairul Anwar. 2017. The Most Complete Book on Classical to Contemporary Education Theories. IRCisoD. Yogyakarta.
Efendi, Kiki Nia Sania. 2017. "Understanding Class VIII Student Concepts in Cubes and Blocks Material." Pasundan Journal of Research in Mathematics Learning and Education Volume 2 Number 2, December 2017 ISSN 2548-2297 2(4): 87–94.
Huda, Ummul, Edwin Musdi, and Nola Nari. 2019. "Analysis of Students' Mathematical Representation Ability in Completing Mathematical Problem Solving Problems." TA'DIB JOURNAL, Vol 22 (1), 2019, (January-June) ISSN 22(1).
Kartika, Yuni. 2018. "Analysis of the Ability to Understand Mathematical Concepts of Grade VII Middle School Students in Algebraic Form Material." Tambusai Education Journal 2(58): 777–85.
Kusmaryono, Imam, and Dwijanto. 2016. "The Role of Students' Mathematical Representations and Dispositions in Increasing Mathematical Power." : 19–28.
Maisyarah, Siti, and Rully Charitas Indra Prahmana. 2020. "Learning the Surface Area of Flat Side Shapes Using an Indonesian Realistic Mathematics Education Approach." 6(1): 68–88.
Maulani, Dwi, Suyono, and Anton Noornia. 2017. "The Effect of Implementing the Reciprocal Teaching Model on Mathematical Communication Skills in View of Students' Self-Concept at SMAN, Tambun Selatan District, Bekasi." JPPM Vol. 10 No. 2: 14–24.
Mawaddah, Siti, and Ratih Maryani. 2016. "Middle School Students' Ability to Understand Mathematical Concepts in Learning Using the Guided Discovery Model (Discovery Learning)." EDU-MAT Journal of Mathematics Education, 4(April): 76–85.
Misel, and Erna Suwangsih. 2016. "Application of a Realistic Mathematical Approach to Improve Students' Mathematical Representation Ability." Dldactic Method vol. 10(2): 27–36.
NCTM. 2000. Principles and Standards for School Mathematics.
Purwasih, Ratni, and Martin Bernad. 2018. "Multi Representational Discourse Learning to Improve Student Communication Skills and Mathematical Disposition." 5(1): 43–52.
Putri, Sonia Aprilia et al. 2021. "Analysis of Vocational School Students' Representation Ability." 7(2): 69–78.
Fortune, Sri. 2017. "Improving Students' Mathematical Representation Abilities Through the Application of the Novick Learning Model." SAP Journal Vol. 1(3): 281–91.
Rostika, Deti, and Herni Junita. 2017. "Improving Elementary School Students' Problem Solving Abilities in Mathematics Learning Using the Multi Representation (DMR) Discourse Model." 9(1): 35–46.
Rukiyah, Siti, Rany Widiyastuti, and Andi Thahir. 2020. "Multi Representation (DMR) Discourse Learning with Spakol Videoscbe to Improve Mathematical Representation Ability." EduSains: Journal of Science & Mathematics Education, 8(2): 32–42.
Sanjaya, H Wina. 2011. Educational Process Standards Oriented Learning Strategy. ed. Kencana Prenada Media. Jakarta.
Sinabariba, R B. 2017. Teacher Application of Choosing Learning Models to Improve Semin's Poetry Writing. Nas. Education. Base.
Tyas, Wahyu Handining, Imam Sujadi, and Riyadi. 2016. "Students' Mathematical Representations in Solving Mathematical Problems on Social and Comparative Arithmetic Material Seen from the Cognitive Style of Class VII Students of SMP Negeri 15 Surakarta in the 2014/2015 Academic Year." Electronic Journal of Mathematics Learning Vol.4 2339-1685 http://jurnal.fkip.uns.ac.id REPRESENTATION 4(8): 781–92.
Utomo, Nugroho Setyo. 2017. "Reciprocal Teaching Learning Model Approach to Improve Student Activities and Learning Outcomes in Basic Competencies in Fluid Power Machines Class X TPS 2 SMK Negari 3 Surabaya." UNESA Machinery Artical journal.
Wijaya, Candra Bagus. 2018. "Analysis of Students' Mathematical Representation Ability in Solving Circle Problems in Class VII-B Mts Assyafi 'Iyah Gondang." Suska Journal of Mathematics Education (p-ISSN: 2477-4758|e-ISSN: 2540-9670) 4(2): 115–24.
Yufentya, W Eggy, Yenita Roza, and Maimunah. 2019. "Analysis of Class VIII Middle School Students' Concept Understanding Ability on Circle Material." Decimal : Journal of Mathematics 2(3): 197–202.
Yuna, Angsa Yuna, Mujib, and Resti Ayuni Suri. 2018. "Scramble and Time Token Arends (TTA) Learning Model to Improve Students' Understanding of Mathematical Concepts." national seminar on Mathematics and Mathematics Education: 475–80.
Published
2024-12-15
How to Cite
Suri, I. R. A., Supriadi, N., Yuliana, I., & Suherman, S. (2024). Concept understanding and mathematical representation ability: DMR model with a reciprocal teaching approach. Alifmatika: Jurnal Pendidikan Dan Pembelajaran Matematika, 6(2), 205-217. https://doi.org/10.35316/alifmatika.2024.v6i2.205-217
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