THE EFFECT OF REALISTIC MATHEMATICS EDUCATION BASED GEOMETRY TEACHING ON STUDENT SUCCESS AND THE EVALUATION OF TEACHING: IN TERMS OF BASIC PRINCIPLES

Yıl 2013, Cilt: 8 Sayı: 1, 115 - 132, 01.02.2013

Emine Özdemir , Devrim Uzel

Öz

In recent years, there is a mathematics education approach developed by Freudenthal in the Netherlands and departure point is the idea that mind apprehends the object by means of intuition Freudenthal's opinions on mathematics: a. mathematics as human activity, b. guided reinvention and c. didactic phenomenology are collected under the name of basic principles of realistic mathematics education. Mathematics learning begins with signification and continues with mathematization process that student reaches his own mathematical knowledge. In this study the effect of Realistic Mathematics Education based geometry teaching on student achievement and whether teaching was carried out according to the basic principles were investigated. As a result, realistic mathematics education based geometry teaching had positive effect on student achievement. Teaching was carried out according to the basic principles of Realistic Mathematics Education and this result was emerged in student evaluations.

Anahtar Kelimeler

Realistic Mathematics Education, Geometry Teaching, Guided Reinvention, Didactical Phenomenology, Mathematization Process,

GERÇEKÇİ MATEMATİK EĞİTİMİNE DAYALI GEOMETRİ ÖĞRETİMİNİN ÖĞRENCİ BAŞARISINA ETKİSİ VE ÖĞRETİMİN DEĞERLENDİRİLMESİ : TEMEL İLKELER AÇISINDAN

Öz

Son yıllarda Hollanda`da Freudenthal tarafından geliştirilen bir matematik eğitimi yaklaşımı vardır ki hareket noktası zihnin nesneyi sezgi yoluyla kavradığı düşüncesidir. Freudenthal` in matematik hakkındaki görüşleri: a. insan aktivitesi olarak matematik, b. yönlendirilmiş keşif ve c. didaktik fenomenoloji olmak üzere Gerçekçi Matematik Eğitiminin temel ilkeleri adı altında toplanmaktadır. Matematik öğrenme anlamlandırma ile başlar ve öğrencinin kendi matematik bilgisine ulaştığı matematikleştirme süreci ile devam eder. Çalışmada Gerçekçi Matematik Eğitimine dayalı geometri öğretiminin öğrenci başarısına etkisi ve öğretimin temel ilkelere göre gerçekleştirilip gerçekleştirilmediği incelenmiştir. Gerçekçi matematik eğitimine dayalı geometri öğretiminin öğrenci başarısı üzerinde olumlu yönde etkisi olmuştur. Gerçekçi Matematik Eğitiminin temel ilkelerine göre öğretim gerçekleştirildiği öğrenci değerlendirmeleri ile ortaya konmuştur.

Anahtar Kelimeler

Gerçekçi Matematik Eğitimi, Geometri Öğretimi, Yönlendirilmiş Keşif, Didaktik Fenomenoloji, Matematikleştirme Süreci,

Kaynakça

• Altun, M., (2002). Sayı Doğrusunun Öğretiminde Yeni Bir Yaklaşım, İlköğretim- Online, 1(2) [Online]: http://ilkogretimonline.org.tr/vol1say2/v01s02a.htm adresinden 10.02.2008 tarihinde indirilmiştir.
• Altun, M., (2006). Matematik Öğretiminde Gelişmeler. Uludağ Üniversitesi Eğitim Fakültesi Dergisi, XIX (2), 223-238.
• Barnes, H.E., (2004). “A Developmental Case Study: Implementing The Theory of Realistic Mathematics Education with Low Attaigners.” Ph. D. Thesis. University of Pretoria.
• Bintas, J., Altun, M., and Arslan, K., (2003). Simetri Öğretimi. [Online]:http://www.matder.org.tr/bilim/gmeiso.asp?ID=10 adresinden 05 Nisan 2006 tarihinde indirilmiştir.
• Büyüköztürk, Ş., (2006). Sosyal Bilimler için Veri Analizi Elkitabı İstatistik, Araştırma Deseni SPSS Uygulamaları ve Yorum (baskı). Ankara: PegemA Yayıncılık.
• Büyüköztürk, Ş., Çakmak, K.E., Akgün, Ö.E., Karadeniz, Ş. ve Demirel, F., (2010). Bilimsel Araştırma Yöntemleri (5.baskı). Ankara: PegemA Yayıncılık.
• De Corte, E., (2004). Mainstreams and Perspectives in Research on Learning (Mathematics) From Instruction, Applied Psychology: An International Review, 53 (2), 279–310.
• Demirdöğen, N., (2007). “Gerçekçi Matematik Eğitimi Yönteminin İlköğretim 6.Sınıflarda Kesir Kavramının Öğretimine Etkisi.” Yayımlanmamış Yüksek Lisans Tezi, Gazi Üniversitesi Eğitim Bilimleri Enstitüsü, Ankara.
• Doorman, L.M., (2002). How to Guide Students? A Reinvention Course on Modeling Motion, In: Fou-Lai Lin (Eds.), Common sense in mathematics education, (pp.97-114). Taipei: National Taiwan Normal University.
• Eade, F. and Dickinson, P., (2006). “Exploring Realistic Mathematics Education in English Schools.” Paper presented at the 30th Conference of the International Group for the Psychology of Mathematics Education(PME), Prague, Czech Republic, July 16-21.
• Fauzan A., Slettenhaar D., and Plomp, T., (2002). “Traditional Mathematics Education vs. Realistic Mathematics Education: Hoping for Changes.” In P. Valero & O. Skovmose (Eds.), Paper presented at The 3rd International Mathematics Education and Society Conference, Copenhagen, Denmark: Center For Research in Learning Mathematics.
• Freudenthal, H., (1968). Why To Teach Mathematics So As To Be Useful, Educational Studies in Mathematics, 1, 3-8.
• Freudenthal, H., (1983). Didactical Phenomenology Of Mathematical Structures. Educational Studies in Mathematics, 24 (2), 139-162.
• Freudenthal, H., (1991). Revisiting Mathematics Education. Dordrecht. The Netherlands: Kluwer Academic Publishers.
• Fyhn, A., (2008). A Climbing Class’ Reinvention of Angles. Educational Studies in Mathematics, 67, 19-35.
• Gravemeijer, K. (1990). Context Problems and Realistic Mathematics Instruction, Research in Mathematics Education, 11, p. 10-32
• Gravemeijer, K., Van den Hauvel-Panhuizen, M., and Streefland, L., (1990). Context Free Productions Test And Geometry in Realistic Mathematics Education. The Netherlands: State University of Utrecht.
• Halverscheid, S., Henseleit, M., and Lies, K., (2006), Rational Numbers After Elementary School: Realizing Models For Fractions On The Real Line, Proceedings Of The 30th Conference Of The International Group For The Psychology Of Mathematics Education(PME)-30, Vol.: 3, pp. 225-232.
• Hambleton, R.K. and Patsula, L., (1999). Increasing the validity of adapted tests: myths to be avoided an guidlines for improving test adaptation practies 1,2.[Online]: http//www.testpublishers.org.journal.html adresinden 21.03.2008 tarihinde indirilmiştir.
• Karasar, N., (2005). Bilimsel Araştırma Yöntemi(5.baskı). Ankara: Nobel Yayın Dağıtım.
• Keijzer, R., Van Galen, en F., and Oosterwaal, L., (2004). “Reinvention revisited; learning and teaching decimals as example.” Paper presented at ICME10, Copenhague, Denmark.
• Klein, AS., Beishuizen, M., and Treffers, A., (1998). The Empty Number Line in Dutch Second Grades: Realistic versus Gradual Program Design, Journal for Research in Mathematics Education, 29, no4, 443-64 Jl.
• Korthagen, F. and Russell, T., (1999). Building Teacher Education On What We Know About Teacher Development, Paper Presented At The Annual Meeting Of The American Educational Research Association (AERA), Montreal, Canada.
• Kwon, Oh N., (2002). Conceptualizing the Realistic Mathematics Education Approach in the Teaching and Learning of Ordinary Differential Equations, Proceedings of the International Conference on the Teaching of Mathematics, 2nd, Hersonissos, Crete, Greece, July 1-6.
• Moreira, Q.C. and Contente, M.R., (1997). The role of writing to foster pupils‘ learning about area, Proceedings of the 21st Conference of the International Group for the Psychology of Mathematics Education (PME), 3, Helsinki/Lahti: University of Helsinki/Lahti Research and Training Centre, (1997), p. 256-263. Talati, A., (2004). Teaching and Learning RME. [Online]: http://www.partnership.mmu.ac.uk/cme/Student_Writings/TS1/ Afsana/Afsana.html adresinden 21/07/2006 tarihinde indirilmiştir.
• Thanh-Nguyen, T., Dekker, R., and Goedhart, J.M., (2008). Preparing Vietnamese Student Teachers for Teaching with A Student-Centered Approach, J Math Teacher Educ, Vol 11, 61–81. Treffers, A., (1987). Three Dimensions: A Model Of Goal And Theory And Theory Description in Mathematics Instruction- The Wiskobas Project. Dordrecht: Kluwer.