What is Realistic Mathematics Education?
Realistic Mathematics Education – hereafter abbreviated as RME – is a domain-specific instruction theory for mathematics, which has been developed in the Netherlands. Characteristic of RME is that rich, “realistic” situations are given a prominent position in the learning process. These situations serve as a source for initiating the development of mathematical concepts, tools, and procedures and as a context in which students can in a later stage apply their mathematical knowledge, which then gradually has become more formal and general and less context specific.
Although “realistic” situations in the meaning of “real-world” situations are important in RME, “realistic” has a broader connotation here. It means students are offered problem situations which they can imagine. This interpretation of “realistic” traces back to the Dutch expression “zich REALISEren,” meaning “to imagine.” It is this emphasis on making something real in your mind that...
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References
Bakker A (2004) Design research in statistics education: on symbolizing and computer tools. CD-Bèta Press, Utrecht
De Lange J (1987) Mathematics, insight and meaning. OW & OC, Utrecht University, Utrecht
De Lange J (1995) Assessment: no change without problems. In: Romberg TA (ed) Reform in school mathematics. SUNY Press, Albany, pp 87–172
Doorman LM (2005) Modelling motion: from trace graphs to instantaneous change. CD-Bèta Press, Utrecht
Drijvers P (2003) Learning algebra in a computer algebra environment. Design research on the understanding of the concept of parameter. CD-Bèta Press, Utrecht
Freudenthal H (1968) Why to teach mathematics so as to be useful. Educ Stud Math 1:3–8
Freudenthal H (1973) Mathematics as an educational task. Reidel Publishing, Dordrecht
Freudenthal H (1983) Didactical phenomenology of mathematical structures. Reidel Publishing, Dordrecht
Freudenthal H (1991) Revisiting mathematics education. China lectures. Kluwer, Dordrecht
Goddijn A, Kindt M, Reuter W, Dullens D (2004) Geometry with applications and proofs. Freudenthal Institute, Utrecht
Gravemeijer KPE (1994) Developing realistic mathematics education. CD-ß Press/Freudenthal Institute, Utrecht
Kindt M (2010) Positive algebra. Freudenthal Institute, Utrecht
Sembiring RK, Hadi S, Dolk M (2008) Reforming mathematics learning in Indonesian classrooms through RME. ZDM Int J Math Educ 40(6):927–939
Streefland L (1985) Wiskunde als activiteit en de realiteit als bron. Nieuwe Wiskrant 5(1):60–67
Streefland L (1991) Fractions in realistic mathematics education. A paradigm of developmental research. Kluwer, Dordrecht
Streefland L (1993) The design of a mathematics course. A theoretical reflection. Educ Stud Math 25(1–2):109–135
Streefland L (1996) Learning from history for teaching in the future. Regular lecture held at the ICME-8 in Sevilla, Spain; in 2003 posthumously. Educ Stud Math 54:37–62
Treffers A (1978) Wiskobas doelgericht [Wiskobas goal-directed]. IOWO, Utrecht
Treffers A (1987a) Three dimensions. A model of goal and theory description in mathematics instruction – the Wiskobas project. D. Reidel Publishing, Dordrecht
Treffers A (1987b) Integrated column arithmetic according to progressive schematisation. Educ Stud Math 18:125–145
Van den Brink FJ (1989) Realistisch rekenonderwijs aan jonge kinderen [Realistic mathematics education for young children]. OW&OC., Universiteit Utrecht, Utrecht
Van den Heuvel-Panhuizen M (1996) Assessment and realistic mathematics education. CD-ß Press/Freudenthal Institute, Utrecht University, Utrecht
Van den Heuvel-Panhuizen M (2003) The didactical use of models in realistic mathematics education: an example from a longitudinal trajectory on percentage. Educ Stud Math 54(1):9–35
Van den Heuvel-Panhuizen M (ed) (2008a) Children learn mathematics. A learning-teaching trajectory with intermediate attainment targets for calculation with whole numbers in primary school. Sense Publishers, Rotterdam/Tapei
Van den Heuvel-Panhuizen M, Buys K (eds) (2008b) Young children learn measurement and geometry. Sense Publishers, Rotterdam/Taipei
Van den Heuvel-Panhuizen M (2010) Reform under attack – forty years of working on better mathematics education thrown on the scrapheap? no way! In: Sparrow L, Kissane B, Hurst C (eds) Shaping the future of mathematics education: proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. MERGA, Fremantle, pp 1–25
Wisconsin Center for Education Research & Freudenthal Institute (ed) (2006) Mathematics in context. Encyclopaedia Britannica, Chicago
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Van den Heuvel-Panhuizen, M., Drijvers, P. (2020). Realistic Mathematics Education. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0_170
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