LEARNING TRAJECTORY BERBASIS RME
DOI:
https://doi.org/10.36665/theorems.v5i1.514Keywords:
Learning Trajectory, Realistic Mathematics EducationAbstract
Learning Trajectory (LT) based on Realistic Mathematics Education (RME) has been widely used in learning mathematics. This is indicated by the results of several successful studies using LT based on RME in certain subjects in mathematics, such as statistical material, social arithmetic, fractions, factors and real functions. In this article, we will describe what is meant by LT, RME and LT based on RME. The description is based on literature review and some research results.
References
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[15] Fauzan, Ahmad; Slettenhaar,Dick; Plomp, Tjeerd. 2002. Traditional Mathematics Education vs. Realistic Mathematics Education: Hoping for Changes. Proceedings of the 3rd International Mathematics Education and Society Conference. Copenhagen: Centre for Research in Learning Mathematics, pp. 1-4.
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[17] Karaca, Yetim, dan Ali Özkaya. 2017. The Effects of Realistic Mathematics Education on Students’ Math Self Reports in Fifth Grades Mathematics Course . International Journal of Curriculum and Instruction, Vol 9(1), pp 81–103.
[18] Lange, Jan de. 1996. Using and applying mathematics in education. A.J. Bishop el al. (eds.). International Handbook of Mathematics Education. 49 - 97© 1996 KhMer Academic Publishers.
[19] Lesnussa, Yopi Andry. Realistic Mathematics Education (RME) Provides Great Benefit for Student in Indonesia. DOI: https://doi.org/10.30598/JAMFASVol1Iss1pp001-006y2018
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[22] Sembiring, Robert K. 2010. Pendidikan Matematika Realistik Indonesia (PMRI): Perkembangan Dan Tantangannya. IndoMS JME.Vol 1 No 1.
[23] Simon, Martin A. 1995. Reconstructing Mathematics Pedagogy from A Constructivist Perspective. Journal for Research in Mathematits Education, Vol. 26, No. 2, pp 114-145.
[24] Simon, Martin A., dan Tzur, Ron. 2004. Explicating the Role of Mathematical Tasks in Conceptual lLearning: An Elaboration of the Hypothetical Learning Trajectory. Mathematical Thinking and Learning, Vol. 6(2), pp 91–104.
[25] Suryanto. 2007. Pendidikan Matematika Realistik Indonesia (PMRI). Majalah PMRI Vol. V No. 1 Januari 2007, halaman 8 – 10.
[26] Tarigan, Daitin. 2006. Pembelajaran Matematika Realistik. Jakarta: Depdiknas.
[27] Treffers. A. 1991. Didactical Background of a Mathematics Programs for Primary Education dalam L. Streefland (Ed): Realistic Mathematics Education in Primary School. Utrecht: Freudenthal Institute–Utrecht University.
[28] Uygun, Tugba. 2016. Developing Mathematical Practices In A Social Context: A Hypothetical Learning Trajectory To Support Preservice Middle School Mathematics Teachers’ Learning Of Triangles. A Thesis Submitted To The Graduate School Of Social Sciences Of Middle East Technical University
[29] Yulianti, Ditria; Fauzan, Ahmad. 2018. Development Of Local Instruction Theory Topics Lowest Common Multiple And Greatest Common Factorbased On Realistic Mathematics Education In Primary Schools. International Journal of Educational Dynamics Vol. 1 No. 1 (pp. 222-235) December 2018
[2] Arnellis; Fauzan, Ahmad & Arwana, Made. 2018. Using Learning Trajectory Real Function Based on Realistic Mathematics Education to Increase High Order Thinking Skills of The Students’ at SMAN 10 Padang. 2nd International Conference on Mathematics and Mathematics Education 2018 (ICM2E 2018).
[4] Baharuddin; Nur Wahyuni, Esa. 2015. Teori Belajar dan Pembelajaran. Penerbit: Arruzz Media: Yogyakarta. ISBN: 978-602-313-033-7
[5] Barnes, Hayley. 2004. Realistic Mathematics Education: Eliciting Alternative Mathematical Conceptions of Learners. African Journal of Research in SMT Education, Volume 8(1), pp. 53-64.
[6] Clements, Douglas.H & Samara, Julie. 2004. Learning Trajectories in Mathematics Education. Mathematical Thinking and Learning, 6(2), 81–89 Copyright © 2004, Lawrence Erlbaum Associates, Inc.
[7] Clements, Douglas.H & Samara, Julie. 2010. Learning Trajectories In Early Mathematics– Sequences Of Acquisition And Teaching. ©2010-2017 CEECD / SKC-ECD | NUMERACY 1
[8] Clements, D. H., & Sarama, J. (2013). Rethinking Early Mathematics: What is Research Based Curriculum for Young Children? In L. D. English & J. T. Mulligan (Eds.), Reconceptualizing Early Mathematics Learning, (pp. 121–147). Dordrecht: Springer.
[9] Daro, Phil; Mosher, Frederic A.; and Corcoran, Thomas B.. 2011. Learning Trajectories in Mathematics: A Foundation for Standards, Curriculum, Assessment, and Instruction. CPRER Research Reports. Retrieved from http://repository.upenn.edu/cpre_researchreports/60
[10] Empson, S. B. 2011. On the idea of learning trajectories: Promises and pitfalls. The Mathematics Enthusiast, 8(3),571–596.
[11] Fauzan, Ahmad & Sari, Oci Yulia. 2017. Pengembangan Alur Belajar Pecahan Berbasis Realistic Mathematics Education. Prosiding Seminar Nasional Pascasarjana (SNP) Unsyiah 2017, April 12, 2017, Banda Aceh, Indonesia.
[12] Fauzan, Ahmad. 2002. Applying Realistic Mathematics Education (RME) in Teaching Geometry in Indonesian Primary Schools. Disertasi. University of Twente.
[13] Fauzan, Ahmad; Musdi, Edwin & Afriadi, J.2018. Developing learning trajectory for teaching statistics at junior high school using RME approach. IOP Conf. Series: Journal of Physics: Conf. Series 1088 (2018) 012040 doi :10.1088/1742-6596/1088/1/012040
[14] Fauzan, Ahmad; Slettenhaar, Dick; Plomp, Tjeerd. 2002. Traditional Mathematics Education vs. Realistic Mathematics Education: Hoping for Changes. P. Valero & O. Skovsmose (2002) (Eds.). Proceedings of the 3rd International Mathematics Education and Society Conference. Copenhagen: Centre for Research in Learning Mathematics, pp. 1-4.
[15] Fauzan, Ahmad; Slettenhaar,Dick; Plomp, Tjeerd. 2002. Traditional Mathematics Education vs. Realistic Mathematics Education: Hoping for Changes. Proceedings of the 3rd International Mathematics Education and Society Conference. Copenhagen: Centre for Research in Learning Mathematics, pp. 1-4.
[16] Gravemeijer, Koeno. 1994. Developing Realistic Mathematics Education. Utrecht, The Nederlands: Freudenthal Institute.
[17] Karaca, Yetim, dan Ali Özkaya. 2017. The Effects of Realistic Mathematics Education on Students’ Math Self Reports in Fifth Grades Mathematics Course . International Journal of Curriculum and Instruction, Vol 9(1), pp 81–103.
[18] Lange, Jan de. 1996. Using and applying mathematics in education. A.J. Bishop el al. (eds.). International Handbook of Mathematics Education. 49 - 97© 1996 KhMer Academic Publishers.
[19] Lesnussa, Yopi Andry. Realistic Mathematics Education (RME) Provides Great Benefit for Student in Indonesia. DOI: https://doi.org/10.30598/JAMFASVol1Iss1pp001-006y2018
[20] Nurdin. 2011. Trajektori dalam Pembelajaran Matematika. Edumatica Volume 01 Nomor 01.
[21] Poedjiadi, Anna. 1999. Pengantar Filsafat Ilmu Bagi Pendidik. Penerbit: Yayasan Cendrawasih: Bandung.
[22] Sembiring, Robert K. 2010. Pendidikan Matematika Realistik Indonesia (PMRI): Perkembangan Dan Tantangannya. IndoMS JME.Vol 1 No 1.
[23] Simon, Martin A. 1995. Reconstructing Mathematics Pedagogy from A Constructivist Perspective. Journal for Research in Mathematits Education, Vol. 26, No. 2, pp 114-145.
[24] Simon, Martin A., dan Tzur, Ron. 2004. Explicating the Role of Mathematical Tasks in Conceptual lLearning: An Elaboration of the Hypothetical Learning Trajectory. Mathematical Thinking and Learning, Vol. 6(2), pp 91–104.
[25] Suryanto. 2007. Pendidikan Matematika Realistik Indonesia (PMRI). Majalah PMRI Vol. V No. 1 Januari 2007, halaman 8 – 10.
[26] Tarigan, Daitin. 2006. Pembelajaran Matematika Realistik. Jakarta: Depdiknas.
[27] Treffers. A. 1991. Didactical Background of a Mathematics Programs for Primary Education dalam L. Streefland (Ed): Realistic Mathematics Education in Primary School. Utrecht: Freudenthal Institute–Utrecht University.
[28] Uygun, Tugba. 2016. Developing Mathematical Practices In A Social Context: A Hypothetical Learning Trajectory To Support Preservice Middle School Mathematics Teachers’ Learning Of Triangles. A Thesis Submitted To The Graduate School Of Social Sciences Of Middle East Technical University
[29] Yulianti, Ditria; Fauzan, Ahmad. 2018. Development Of Local Instruction Theory Topics Lowest Common Multiple And Greatest Common Factorbased On Realistic Mathematics Education In Primary Schools. International Journal of Educational Dynamics Vol. 1 No. 1 (pp. 222-235) December 2018
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2020-01-25
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