scholarly journals Mathematical Abstraction of Year 9 Students Using Realistic Mathematics Education Based on the Van Hiele Levels of Geometry

2019 ◽  
Vol 6 (1) ◽  
pp. 1-12
Author(s):  
Heris Hendriana ◽  
Nelly Fitriani

Previous research regarding abstraction has not discussed abstraction qualitatively based on van Hiele levels. Thus, it is necessary to study abstraction analysis based on van Hiele levels through Realistic Mathematics Education (RME) approach. The purpose of this research was to analyze mathematical abstraction based on van Hiele levels of geometry (VHLG) through RME and traditional learning approach reviewed from the levels of prior knowledge. This research employed a descriptive qualitative method involving Year 9 junior high school students as the subjects. The instruments were a mathematical abstraction test, van Hiele geometry test, and interview guidelines. The results of the high- and medium-ability students in the classroom using RME approach showed that VHLG was at the Deduction level and the abstraction ability was dominated by Empirical and Reflective Abstraction, whereas the low-ability students are at the level of Abstraction, they had imperfect Empirical and Reflective Abstraction. As for the high-ability students in the traditional learning classroom, the VHLG was at the level of Abstraction; their Reflective Abstraction was at the Representation level. While concerning the low- and medium-ability students, the VHLG was at the Analysis level; they mastered the Reflective Abstraction at the level of Recognition. This study indicates that the RME approach can trigger the development of mathematical abstraction, and accelerate the van Hiele levels of geometry progress.

Jurnal Kiprah ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 105-112
Author(s):  
Al Jupri ◽  
Dian Usdiyana ◽  
Ririn Sispiyati

The number pattern is one of mathematics topics taught for junior high school students that relate between arithmetic and algebra domain. This topic bridges arithmetical and algebraic thinking. Therefore, the learning for this topic should be designed meaningfully. This research aims to design a learning sequence on the number patterns using principles of Realistic Mathematics Education (RME). To do this, we used design research method, particularly the preliminary design phase, with the following three steps. First, literature study was conducted to collect student difficulties in the learning of number patterns, relevant studies, and the theory of RME. Second, we observed Indonesian mathematics textbooks addressing the number patterns to see a learning sequence for this topic. Finally, we designed a learning sequence for the number patterns using the RME principles, particularly the reality principle, level principle, and intertwinement principle. The result of this research includes the learning sequence for the number patterns according to the RME principles, which consists of three activities: relationship between patterns and numbers; exploration of numbers; and generalization of number patterns. We conclude that the three principles of RME are fruitful for designing a meaningful learning sequence for the topic of number patterns.


Jurnal Elemen ◽  
2021 ◽  
Vol 7 (1) ◽  
pp. 29-57
Author(s):  
Winda Rahayu ◽  
◽  
Rully Charitas Indra Prahmana ◽  
Afit Istiandaru ◽  
◽  
...  

Learning mathematics has a significant contribution to the students’ daily activities, one of which is on social arithmetic topic. The implementation of social arithmetic, in general, is mostly found in buying-selling and banking activities. However, students still find difficulties in understanding this topic. It is because the teaching and learning activities still use a conventional approach, which restricts the students to imagine how it is implemented in daily life. Therefore, this paper aims to describe the innovative learning activities of social arithmetic among junior high school students using the Realistic Mathematics Education (RME) approach. This research was conducted in three meetings, and the researcher acted as the teacher in the class. The results showed that the innovative learning of social arithmetic using the RME approach and word problems could improve the students’ learning outcomes with an average score of 81.92% and 92.59% of the total of students scored above passing grade.


2019 ◽  
Vol 2 (1) ◽  
pp. 41
Author(s):  
Wahyu Hidayat ◽  
Koentri Jayanti ◽  
Ilfa Febriana Nurismadanti ◽  
Muhammad Zulfikar Ikhsanuddin Akbar ◽  
Kholifia Ayuning Pertiwi ◽  
...  

This research aims to look at the difference in the ability of mathematical creative thinking in students, through Realistic Mathematical Education learning or RME and through conventional learning. The research design used was an experiment, namely in the form of a test of the ability of creative thinking. The population in this study of Junior High School students throughout the country, namely in West Bandung Regency. Sample research VIII grade i.e. in one of the Junior High School in West Bandung chosen at random and selected class A (grade experiment) that uses learning Realistic Mathematics Education (RME) and class B (grade control) that uses regular or conventional learning. The research results showed that the p-value of 0.000 < critical limits. Thus, the ability of mathematical creative thinking of the students who got the learning with Realistic Mathematics Education better than the students who got conventional learning.


2017 ◽  
Vol 2 (2) ◽  
pp. 173-184
Author(s):  
Tatang Supriatna ◽  
Darhim Darhim ◽  
Turmudi Turmudi

ABSTRAKSI: Tujuan penelitian ini untuk mengetahui kesulitan belajar Matematika dan perbedaan peningkatan kemampuan berpikir logis siswa, yang diberi perlakuan pembelajaran LIT (Local Instruction Theory) dengan pendekatan PMR (Pendidikan Matematika Realistik) dengan siswa yang hanya diberi pendekatan PMR saja. Metode penelitian berupa “design research”, dengan subjek penelitian berjumlah 184 siswa SMP (Sekolah Menengah Pertama), yang berasal dari peringkat sekolah yang berbeda. Hasil penelitian menunjukan bahwa kesulitan belajar yang dialami siswa SMP adalah karena sulit dalam memahami variabel, koefisien, dan konstanta; sulit membaca maksud soal, sulit menyusun strategi dalam menyelesaikan soal; sulit dalam proses perhitungan; dan masih salah dalam penulisan persamaan. Peningkatan kemampuan berpikir logis siswa yang pembelajarannya menggunakan LIT dalam PMR ternyata lebih tinggi daripada siswa yang pembelajarannya menggunakan PMR saja. Perlu kajian lanjutan untuk melihat pengaruh penggunaan LIT dalam PMR terhadap kemampuan Matematis lainnya dan pada berbagai level sekolah.KATA KUNCI: Local Instruction Theory; Kesulitan Belajar; Pendidikan Matematika Realistik; Siswa SMP; Berpikir Logis. ABSTRACT: “The Local Instruction Theory in Realistic Mathematics Education for Improving the Ability of Logical Thinking”. The objective of this study was to determine the Mathematical learning difficulties and differences increase students' ability to think logically whose treated by learning approach LIT (Local Instruction Theory) with RME (Realistic Mathematics Education) and students treated by PMR learning approach only. The research method in the form of design research, with research subjects totaling 184 of JHS (Junior High School) students, derived from different school rankings. The research findings show that the difficulties of learning experienced by JHS students were caused by difficult to understand the variables, coefficients, and constants; difficult to read, to interpret the intent problems, to strategize in solving problems; difficult in the process of calculation; and still wrong in writing the equation. The increasing of logical thinking ability of students in learning to use LIT with RME is higher than students whose learning by using RME only. A further study is required to see the effect of using LIT with RME towards other Mathematical skills and at various school levels.KEY WORD: Local Instruction Theory; Difficulty Learning; Realistic Mathematics Education; Junior High School Students; Logical Thinking.    About the Authors: Tatang Supriatna adalah Mahasiswa SPs UPI (Sekolah Pasca Sarjana, Universitas Pendidikan Indonesia), Jalan Dr. Setiabudhi No.229 Bandung 40154, Jawa Barat, Indonesia. Prof. Dr. Darhim dan Prof. Dr. Turmudi adalah Dosen SPs UPI di Bandung. Untuk kepentingan akademik, penulis bisa dihubungi dengan alamat emel: [email protected], [email protected], dan [email protected] to cite this article? Supriatna, Tatang, Darhim Turmudi. (2017). “Local Intruction Theory dalam Pendidikan Matematika Realistik untuk Menumbuhkan Kemampuan Berpikir Logis” in MIMBAR PENDIDIKAN: Jurnal Indonesia untuk Kajian Pendidikan, Vol.2(2), September, pp.173-184. Bandung, Indonesia: UPI [Indonesia University of Education] Press, ISSN 2527-3868 (print) and 2503-457X (online). Chronicle of the article: Accepted (April 26, 2017); Revised (June 30, 2017); and Published (September 30, 2017).


2018 ◽  
Vol 1 (4) ◽  
pp. 679
Author(s):  
Rehan Wulandari ◽  
Julfah Rodiyah Kusumawati ◽  
Gida Kadarisma

This study aims to analyze how the ability of mathematical communication and Self Efficacy by using Realistic Mathematics Education (RME) approach in junior high school students. The research method used is quasi-experimental using two classes, first class as experiment class and second class as control class. The experimental class uses the Realistic Mathematics Education (RME) approach while the control class uses conventional learning. In both classes, pretest and initial questionnaire were conducted to determine the initial ability of each class, and at the end of the two classes postest. The results of this study were processed and analyzed using Mann-Whitney test. The results showed that communication skills and self-efficacy of students whose learning using Realistic Mathematics education are better than those using conventional learning.


2020 ◽  
Vol 2 (2) ◽  
pp. 145-165
Author(s):  
Erna Sari Agusta

In general, junior high school students learn mathematics with an inductive pattern. However, the statements in mathematics are obtained through a deductive mindset. Therefore we need a learning approach that can accommodate students' thinking patterns. Mathematics adheres to the law of consistency which causes the structure of material in mathematics to be hierarchically arranged, interrelated, and has characteristics that have implications for determining strategies, approaches and the use of learning media. This article aims to review the theory of the Realistic Mathematics Education Approach (PMR). An approach that can make students involved in building their own concepts and models used through problem solving. The PMR discussion begins with the definition of PMR, the principles and characteristics of PMR, and the contribution of PMR in learning mathematics. Writing this article uses the literature review method which consists of books, journal articles, and other documents related to the topic of discussion. The results of the study found that Realistic Mathematics Education (PMR) is a mathematics learning innovation that is in accordance with the 2013 curriculum.The use of contexts and models, as well as the use of student contributions through discussions to discuss various linkages between mathematics material, makes this approach able to contribute to improving five general mathematical abilities. which includes: the ability to understand mathematics, problem solving, mathematical connections, mathematical communication, and mathematical reasoning.


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