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The Importance and Role of Gesture in Construncting Mathematical Meaning

Yıl 2021, Cilt: 22 Sayı: 2, 678 - 703, 30.08.2021

Öz

Over the past two decades, researchers have been increasingly focusing on gestures and their roles, which are often revealed in mathematical learning context. Gestures have been observed as an important tool for communicating and associating mathematical ideas, and as a concrete evidence for revealing mental representations in learning environments. In this sense, firstly, what is the importance and definition of gesture in the context of mathematics education is mentioned. Then, it is mentioned how to classify the gestures that emerge in learning environments and accompany mathematical ideas. Definitions and features of different types of gestures are included, and it is briefly mentioned from which perspectives the gestures are handled in mathematics education. Afterwards, empirical examples from the studies conducted in mathematics teaching and learning environments are presented and the roles of gestures are explained in this context. In the present study, thoughts about why analysis of gestures are necessary in mathematics learning environments, what roles it can play in mathematics classrooms, and what effects it may have on mathematical understanding and thinking processes are presented. Finally, in this study, which comprehensively deals with gesture-related studies in mathematics education, suggestions are made on what and how further studies can be.

Kaynakça

  • Abrahamson, D. (2004). Embodied spatial articulation: A gesture perspective on student negotiation between kinesthetic schemas and epistemic forms in learning mathematics. In D. E. McDougall & J. A. Ross (Eds.), Proceedings of the twenty sixth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, (Vol. 2, pp. 791-797). Windsor, Ontario: Preney.
  • Akıncı, M. (2014). Matematik öğretmen adaylarının bazı geometrik kavramlara ilişkin jestlerinin incelenmesi. Yayınlanmamış Doktora Tezi, Gazi Üniversitesi Eğitim Bilimleri Enstitüsü, Ankara.
  • Akıncı, M. (2017). Matematik öğretmen adaylarının bazı geometrik kavramlara ilişkin jestlerinin incelenmesi. İlköğretim Online, 16(4), 1357-1383.
  • Alibali, M. W., Boncoddo, R., & Hostetter, A. B. (2014a). Gesture in reasoning: An embodied perspective. In Lawrence Shapiro (Ed.) The Routledge handbook of embodied cognition (pp. 150-160). New York: Routledge.
  • Alibali, M. W., & DiRusso, A. A. (1999). The function of gesture in learning to count: More than keeping track. Cognitive Development, 14(1), 37-56. doi:10.1016/S0885-2014(99)80017-3
  • Alibali, M. W., Heath, D. C., & Myers, H. J. (2001). Effects of visibility between speaker and listener on gesture production: Some gestures are meant to be seen. Journal of Memory and Language, 44(2), 169-188. doi: 10.1006/jmla.2000.2752
  • Alibali, M. W., & Nathan, M. J. (2007). Teachers’ gestures as a means of scaffolding students’ understanding: Evidence from an early algebra lesson. In R Goldman, R. Pea, B. Barron, & S. J. Derry (Eds.), Video research in the learning sciences (pp. 349–365). Mahwah, NJ: Erlbaum.
  • Alibali, M.W., & Nathan, M. J. (2012). Embodiment in mathematics teaching and learning: evidence from learners’ and teachers’ gestures. The Journal of the Learning Sciences, 21, 247-286. doi: 10.1080/10508406.2011.611446
  • Alibali, M. W., Nathan, M. J., Boncoddo, R., & Pier, E. (2019). Managing common ground in the classroom: teachers use gestures to support students’ contributions to classroom discourse. ZDM, 51(2), 347-360.
  • Alibali, M. W., Nathan, M. J., Wolfgram, M. S., Church, R. B., Jacobs, S. A., Johnson Martinez, C., & Knuth, E. J. (2014b). How teachers link ideas in mathematics instruction using speech and gesture: A corpus analysis. Cognition and Instruction, 32(1), 65-100. doi:10.1080/07370008.2013.858161
  • Alibali, M. W., Young, A. G., Crooks, N. M., Yeo, A., Wolfgram, M. S., Ledesma, I. M., … Knuth, E. J. (2013). Students learn more when their teacher has learned to gesture effectively. Gesture, 13(2), 210-233.
  • Anderson, M. L. (2003). Embodied cognition: A field guide. Artificial Intelligence, 149, 91–130. doi: 10.1016/S0004-3702(03)00054-7
  • Arzarello, F. (2006). Semiosis as a multimodal process. Revista Latinoamericana de Investigación en Matemática Educativa, 9(1), 267-299.
  • Arzarello, F., & Edwards, L. (2005). Gesture and the construction of mathematical meaning. In H. Chick & J. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 123-154). Melbourne, Australia.
  • Arzarello, F., & Paola, D. (2007). Semiotic games: The role of the teacher. In J. Woo, H. Lew, K. Park, & D. Seo (Eds.), Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education (vol. 2 (pp. 17–24). Seoul: Korea.
  • Arzarello, F., Paola, D., Robutti, O., & Sabena, C. (2009). Gestures as semiotic resources in the mathematics classroom. Educational Studies in Mathematics, 70(2), 97–109. doi: 10.1007/s10649-008-9163-z
  • Barsalou, L. W. (2008). Grounded cognition. Annual Review of Psychology., 59, 617-645.
  • Bieda, K. N., & Nathan, M. J. (2009). Representational disfluency in algebra: Evidence from student gestures and speech. ZDM, 41(5), 637-650. doi:10.1007/s11858-009-0198-0
  • Bjuland, R., Cestari, M.L., & Borgersen, H. E. (2008). The interplay between gesture and discourse as mediating devices in collaborative mathematical reasoning: A multimodal approach. Mathematical Thinking and Learning, 10(3), 271-292. doi: 10.1080/10986060802216169
  • Boyatzis, C. J., & Watson, M. W. (1993). Preschool children's symbolic representation of objects through gestures. Child Development, 64(3), 729-735. doi:10.2307/1131214
  • Broaders, S. C., Cook, S. W., Mitchell, Z., & Goldin-Meadow, S. (2007). Making children gesture brings out implicit knowledge and leads to learning. Journal of Experimental Psychology: General, 136(4), 539. doi: 10.1037/0096-3445.136.4.539
  • Cameron, H., & Xu, X. (2011). Representational gesture, pointing gesture, and memory recall of preschool children. Journal of Nonverbal Behavior, 35(2), 155-171. doi: 10.1007/s10919-010-0101-2
  • Church, R. B., Ayman-Nolley, S., & Mahootian, S. (2004). The role of gesture in bilingual education: Does gesture enhance learning?. International Journal of Bilingual Education and Bilingualism, 7(4), 303-319. doi: 10.1080/13670050408667815
  • Clark, H. H. (1996). Using language. Cambridge: UK.
  • Claxton, G. (2015). Beden: zekânın özü, zihnin bedene sandığınızdan daha çok ihtiyacı var. (Çev. D. Tanla). İstanbul: The Kitap.
  • Cook, S. W., & Goldin-Meadow, S. (2006). The role of gesture in learning: Do children use their hands to change their minds?. Journal of Cognition and Development, 7(2), 211-232. doi: 10.1207/s15327647jcd0702_4
  • Cook, S. W., Mitchell, Z., & Goldin-Meadow, S. (2008). Gesturing makes learning last. Cognition, 106(2), 1047-1058. doi: 10.1016/j.cognition.2007.04.010
  • Edwards, L. D. (2003, April). A natural history of mathematical gesture. In American Educational Research Association Annual Conference, Chicago.
  • Edwards, L. D. (2009). Gestures and conceptual integration in mathematical talk. Educational Studies in Mathematics, 70(2), 127-141. doi: 10.1007/s10649-008-9124-6
  • Efron, D. (1941). Gesture and environment. New York, NY: Kings Crown Press.
  • Ekman, P., & Friesen, W. (1969). The repertoire of nonverbal behavior: Categories, originals, usage, and coding. Semiotica, 1, 49-98. doi: 10.1515/semi.1969.1.1.49
  • Fauconnier, G., & Turner, M. (2002). The way we think: Conceptual blending and the mind’s hidden complexities. New York: Basic Books.
  • Flevares, L. M., & Perry, M. (2001). How many do you see? The use of nonspoken representations in first-grade mathematics lessons. Journal of Educational Psychology, 93(2), 330–345. doi: 10.1037/0022-0663.93.2.330
  • Francaviglia, M., & Servidio, R. (2011). Gesture as a Cognitive Support to Solve Mathematical Problems. Psychology, 2(2), 91-97. doi: 10.4236/psych.2011.22015
  • Glenberg, A. M. (2010). Embodiment as a unifying perspective for psychology. Wiley Interdisciplinary Reviews: Cognitive Science, 1(4), 586-596. doi:10.1002/wcs.55
  • Glenberg, A. M., & Robertson, D. A. (1999). Indexical understanding of instructions. Discourse Processes, 28(1), 1-26. doi: 10.1080/01638539909545067
  • Goldin-Meadow, S. (1999). The role of gesture in communication and thinking. Trends in Cognitive Sciences, 11, 419-429. doi: 10.1016/S1364-6613(99)01397-2
  • Goldin‐Meadow, S. (2000). Beyond words: The importance of gesture to researchers and learners. Child Development, 71(1), 231-239. doi: 10.1111/1467-8624.00138
  • Goldin-Meadow, S. (2003). Hearing gesture: How our hands help us think. Cambridge, MA: Harvard University Press.
  • Goldin-Meadow, S. (2004). Gesture's role in the learning process. Theory into Practice, 43(4), 314-321. doi: 10.1207/s15430421tip4304_10
  • Goldin-Meadow, S., Kim, S., & Singer, M. (1999). What the teacher's hands tell the student's mind about math. Journal of Educational Psychology, 91(4), 720-730. doi: 10.1037/0022-0663.91.4.720
  • Goodwin, C. (2007). Environmentally coupled gestures. In S. Duncan, J. Cassell, & E. Levy (Eds.), Gesture and the dynamic dimension of language (pp. 195–212). Amsterdam, The Netherlands: John Benjamins.
  • Gerofsky, S. (2010). Mathematical learning and gesture: Character viewpoint and observer viewpoint in students’ gestured graphs of functions. Gesture, 10(2-3), 321-343. doi: 10.1075/gest.10.2-3.10ger
  • Gürefe, N. (2015). İşitme engelli öğrencilerin bazı geometrik kavramların tanımlamalarında semiyotik kaynakların kullanımı. Yayımlanmamış doktora tezi, Gazi Üniversitesi Eğitim Bilimleri Enstitüsü, Ankara.
  • Gürefe, N. (2018). The Role of Gestures in Mathematical Discourse of Hard-Hearing Students: Prism Example. Acta Didactica Napocensia, 11, 125-140. doi:10.24193/adn.11.3-4.10
  • Healy, L., & Fernandes, S. H. A. A. (2011). The role of gestures in the mathematical practices of those who do not see with their eyes. Educational Studies in Mathematics, 77(2-3), 157-174.doi: 10.1007/s10649-010-9290-1
  • Hostetter, A. B., & Alibali, M. W. (2008). Visible embodiment: Gestures as simulated action. Psychonomic Bulletin & Review, 15(3), 495-514. doi: 10.3758/PBR.15.3.495
  • Kendon, A. (1988). How gestures can become like words. In Potyatos, F. (Ed.), Crosscultural perspectives in nonverbal communication, (p.p. 131-141). Toronto, Canada: Hogrefe.
  • Kendon, A. (2004). Gesture: Visible action as utterance. Cambridge University Press.
  • Kim, M., Roth, W. M., & Thom, J. (2011). Children’s gestures and the embodied knowledge of geometry. International Journal of Science and Mathematics Education, 9(1), 207-238. doi: 10.1007/s10763-010-9240-5
  • Kita, S. (Ed.). (2003). Pointing: Where language, culture, and cognition meet. Mahwah, NJ: Erlbaum.
  • Lakoff, G., & Johnson, M. (1980). Metaphors we live by. Chicago: University of Chicago.
  • Lakoff, G. (1993). The contemporary theory of metaphor. In A. Ortony (Ed.), Metaphor and thought, (2nd Ed.). (pp. 202-251), Cambridge, UK: Cambridge University Press.
  • Marrongelle, K. (2007). The function of graphs and gestures in algorithmatization. The Journal of Mathematical Behavior, 26(3), 211-229. doi: 10.1016/j.jmathb.2007.09.005
  • McNeill, D. (1992). Hand and mind: What gestures reveal about thought. Chicago: University of Chicago.
  • McNeill, D. (Ed.). (2000). Language and gesture (Vol. 2). Cambridge University, UK.
  • McNeill, D. (2005). Gesture and thought. University of Chicago, London.
  • McNeill, D. (2006). Gesture: a psycholinguistic approach. The Encyclopedia of Language and Linguistics, 58-66.
  • McNeill, D. (2012). How language began: Gesture and speech in human evolution. Cambridge University: New York.
  • Nathan, M. J. (2008). An embodied cognition perspective on symbols, gesture, and grounding instruction. Symbols and Embodiment: Debates on Meaning and Cognition, 18, 375-396. doi: 10.1093/acprof:oso/9780199217274.003.0018
  • National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the national mathematics advisory panel. Washington, DC: U.S. Department of Education.
  • Nemirovsky, R., & Ferrara, F. (2009). Mathematical imagination and embodied cognition. Educational Studies in Mathematics, 70(2), 159-174. doi:10.1007/s10649-008-9150-4
  • Nemirovsky, R., Tierney, C., & Wright, T. (1998). Body motion and graphing. Cognition and Instruction, 16(2), 119-172. doi: 10.1207/s1532690xci1602_1
  • Novack, M. A., & Goldin-Meadow, S. (2017). Gesture as representational action: A paper about function. Psychonomic Bulletin & Review, 24(3), 652-665. doi: 10.3758/s13423-016-1145-z
  • Núñez, R. (2004). Do real numbers really move? Language, thought, and gesture: The embodied cognitive foundations of mathematics. In F. Iida, R. Pfeifer, L. Steels, & Y. Kuniyoshi (Eds.), Embodied artificial intelligence (pp. 54–73). Berlin, Germany: Springer-Verlag.
  • Núñez, R. (2006). Do real numbers really move? Language, thought, and gesture: The embodied cognitive foundations of mathematics. In R. Hersh (Ed.) 18 unconventional essays on the nature of mathematics (pp. 160–181). New York: Springer.
  • O’Halloran, K. L. (1998). Classroom discourse in mathematics: A multisemiotic analysis. Linguistics and Education, 10(3), 359-388. doi: 10.1016/S0898-5898(99)00013-3
  • Özlav, E. (2019). Matematikte temel kavramlara ait jestlerin geliştirilmesi. Yayımlanmamış yüksek lisans tezi. Zonguldak Bülent Ecevit Üniversitesi Fen Bilimleri Enstitüsü, Zonguldak.
  • Perry, M., Church, R. B., & Goldin-Meadow, S. (1988). Transitional knowledge in the acquisition of concepts. Cognitive Development, 3(4), 359-400. doi:10.1016/0885-2014(88)90021-4
  • Pier, E., Walkington, C., Williams, C., Boncoddo, R., Waala, J., Alibali, M. W., & Nathan, M. J. (2014). Hear what they say and watch what they do: predicting valid mathematical proofs using speech and gesture. In W. Penuel, S. A. Jurow, & K. O’Connor (Eds.), Learning and becoming in practice: Proceedings of the Eleventh International Conference of the Learning Sciences (pp. 649-656). Boulder, CO: University of Colorado.
  • Ping, R. M., & Goldin-Meadow, S. (2008). Hands in the air: using ungrounded iconic gestures to teach children conservation of quantity. Developmental Psychology, 44(5), 1277-1287. doi: 10.1037/0012-1649.44.5.1277
  • Polya, G. (1945). How to solve it: A new aspect of mathematical method. Princeton, NJ: Princeton University Press.
  • Radford, L. (2003). Gestures, speech and the sprouting of signs. Mathematical Thinking and Learning, 5(1), 37-70. doi: 10.1207/S15327833MTL0501_02
  • Radford, L. (2009). Why do gestures matter? Sensuous cognition and the palpability of mathematical meanings. Educational Studies in Mathematics, 70(2), 111-126. doi: 10.1007/s10649-008-9127-3
  • Radford, L., Edwards, L., & Arzarello, F. (2009). Introduction: beyond words. Educational Studies in Mathematics, 70(2), 91-95. doi: 10.1007/s10649-008-9172-y
  • Rasmussen, C., Stephan, M., & Allen, K. (2004). Classroom mathematical practices and gesturing. The Journal of Mathematical Behavior, 23(3), 301-323. doi:10.1016/j.jmathb.2004.06.003
  • Richland, L. E. (2015). Linking gestures: Cross-cultural variation during instructional analogies. Cognition & Instruction, 33, 295-321. doi:10.1080/07370008.2015.1091459
  • Richland, L. E., Zur, O., & Holyoak, K. J. (2007). Cognitive supports for analogies in the mathematics classroom. Science, 316, 1128-1129. doi:10.1126/science.1142103
  • Roth, W. M. (2001). Gestures: Their role in teaching and learning. Review of Educational Research, 71(3), 365-392. doi: 10.3102/00346543071003365
  • Shapiro, L. (Eds.). (2014). The Routledge handbook of embodied cognition. Routledge: New York.
  • Shein, P. P. (2012). Seeing with two eyes: A teacher’s use of gestures in questioning and revoicing to engage English language learners in the repair of mathematical errors. Journal for Research in Mathematics Education, 43, 182–222. doi: 10.5951/jresematheduc.43.2.0182
  • Singer, M. A., & Goldin-Meadow, S. (2005). Children learn when their teacher's gestures and speech differ. Psychological Science, 16(2), 85-89. doi:10.1111/j.0956-7976.2005.00786.x
  • Thomas, M. O. J., Yoon, C., & Dreyfus, T. (2009). Multimodal use of semiotic resources in the construction of antiderivative. In R. Hunter, B. Bicknell, & T. Burgess (Eds.), Proceedings of the 32nd conference of the mathematics education research group of Australasia (Vol. 2; pp. 539-546). Wellington, NZ: MERGA.
  • Valenzeno, L., Alibali, M. W., & Klatzky, R. (2003). Teachers’ gestures facilitate students’ learning: A lesson in symmetry. Contemporary Educational Psychology, 28(2), 187-204. doi: 10.1016/S0361-476X(02)00007-3
  • Weinberg, A., Fukawa-Connelly, T., & Wiesner, E. (2015). Characterizing instructor gestures in a lecture in a proof-based mathematics class. Educational Studies in Mathematics, 90(3), 233-258. doi: 10.1007/s10649-015-9623-1
  • Williams-Pierce, C.C, Pier, E. L., Walkington, C., Boncoddo, R., Clinton, V., Alibali, M. W., & Nathan, M. J. (2017). What we say and how we do: action, gesture, and language in proving. Journal for Research in Mathematics Education, 48(3), 248-260. doi: 10.5951/jresematheduc.48.3.0248
  • Wilson, M. (2002). Six views of embodied cognition. Psychonomic Bulletin & Review, 9(4), 625-636. doi: 10.3758/BF03196322
  • Yoon, C., Thomas, M. O., & Dreyfus, T. (2011). Grounded blends and mathematical gesture spaces: Developing mathematical understandings via gestures. Educational Studies in Mathematics, 78(3), 371-393. doi: 10.1007/s10649-011-9329-y
  • Zurina, H., & Williams, J. (2011). Gesturing for oneself. Educational Studies in Mathematics, 77(2-3), 175-188.

Matematikte Anlam Oluşturmada Jestlerin Önemi ve Rolü

Yıl 2021, Cilt: 22 Sayı: 2, 678 - 703, 30.08.2021

Öz

Son yirmi yılda araştırmacılar, giderek artan bir ilgiyle, matematik öğrenme ortamlarında sıklıkla açığa çıkan jestlere ve jestlerin rollerine odaklanmıştır. Jestler öğrenme ortamlarında matematiksel fikirleri iletmede ve ilişkilendirmede önemli bir araç, zihinsel temsillerin açığa çıkarılmasında somut birer kanıt olarak gözlemlenmiştir. Bu anlamda öncelikle matematik eğitimi bağlamında jestin öneminin ve tanımının ne olduğuna değinilmiştir. Daha sonra öğrenme ortamlarında açığa çıkan ve matematiksel fikirlere eşlik eden jestlerin sınıflamasının nasıl yapıldığından bahsedilmiştir. Farklı jest türlerinin tanımlarına ve özelliklerine yer verilmiş ve ayrıca matematik eğitiminde jestlerin hangi bakış açılarıyla ele alındığından kısaca söz edilmiştir. Sonrasında matematik öğretme ve öğrenme ortamlarında yapılan çalışmalardan ampirik örnekler sunularak bu bağlamda jestlerin rollerinin neler olduğu açıklanmıştır. Bu çalışmada matematik öğrenme ortamlarında jestlerin analizinin neden gerekli olduğuna, matematik sınıflarında ne gibi roller üstlenebileceğine, matematiksel anlama ve düşünme süreçlerinde etkilerinin neler olabileceğine dair fikirler sunulmuştur. Son olarak, matematik eğitiminde yapılan jest içerikli çalışmaları kapsamlı bir şekilde ele alan bu çalışmada daha ileri çalışmaların neler ve nasıl olabileceğine dair önerilerde bulunulmuştur.

Kaynakça

  • Abrahamson, D. (2004). Embodied spatial articulation: A gesture perspective on student negotiation between kinesthetic schemas and epistemic forms in learning mathematics. In D. E. McDougall & J. A. Ross (Eds.), Proceedings of the twenty sixth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, (Vol. 2, pp. 791-797). Windsor, Ontario: Preney.
  • Akıncı, M. (2014). Matematik öğretmen adaylarının bazı geometrik kavramlara ilişkin jestlerinin incelenmesi. Yayınlanmamış Doktora Tezi, Gazi Üniversitesi Eğitim Bilimleri Enstitüsü, Ankara.
  • Akıncı, M. (2017). Matematik öğretmen adaylarının bazı geometrik kavramlara ilişkin jestlerinin incelenmesi. İlköğretim Online, 16(4), 1357-1383.
  • Alibali, M. W., Boncoddo, R., & Hostetter, A. B. (2014a). Gesture in reasoning: An embodied perspective. In Lawrence Shapiro (Ed.) The Routledge handbook of embodied cognition (pp. 150-160). New York: Routledge.
  • Alibali, M. W., & DiRusso, A. A. (1999). The function of gesture in learning to count: More than keeping track. Cognitive Development, 14(1), 37-56. doi:10.1016/S0885-2014(99)80017-3
  • Alibali, M. W., Heath, D. C., & Myers, H. J. (2001). Effects of visibility between speaker and listener on gesture production: Some gestures are meant to be seen. Journal of Memory and Language, 44(2), 169-188. doi: 10.1006/jmla.2000.2752
  • Alibali, M. W., & Nathan, M. J. (2007). Teachers’ gestures as a means of scaffolding students’ understanding: Evidence from an early algebra lesson. In R Goldman, R. Pea, B. Barron, & S. J. Derry (Eds.), Video research in the learning sciences (pp. 349–365). Mahwah, NJ: Erlbaum.
  • Alibali, M.W., & Nathan, M. J. (2012). Embodiment in mathematics teaching and learning: evidence from learners’ and teachers’ gestures. The Journal of the Learning Sciences, 21, 247-286. doi: 10.1080/10508406.2011.611446
  • Alibali, M. W., Nathan, M. J., Boncoddo, R., & Pier, E. (2019). Managing common ground in the classroom: teachers use gestures to support students’ contributions to classroom discourse. ZDM, 51(2), 347-360.
  • Alibali, M. W., Nathan, M. J., Wolfgram, M. S., Church, R. B., Jacobs, S. A., Johnson Martinez, C., & Knuth, E. J. (2014b). How teachers link ideas in mathematics instruction using speech and gesture: A corpus analysis. Cognition and Instruction, 32(1), 65-100. doi:10.1080/07370008.2013.858161
  • Alibali, M. W., Young, A. G., Crooks, N. M., Yeo, A., Wolfgram, M. S., Ledesma, I. M., … Knuth, E. J. (2013). Students learn more when their teacher has learned to gesture effectively. Gesture, 13(2), 210-233.
  • Anderson, M. L. (2003). Embodied cognition: A field guide. Artificial Intelligence, 149, 91–130. doi: 10.1016/S0004-3702(03)00054-7
  • Arzarello, F. (2006). Semiosis as a multimodal process. Revista Latinoamericana de Investigación en Matemática Educativa, 9(1), 267-299.
  • Arzarello, F., & Edwards, L. (2005). Gesture and the construction of mathematical meaning. In H. Chick & J. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 123-154). Melbourne, Australia.
  • Arzarello, F., & Paola, D. (2007). Semiotic games: The role of the teacher. In J. Woo, H. Lew, K. Park, & D. Seo (Eds.), Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education (vol. 2 (pp. 17–24). Seoul: Korea.
  • Arzarello, F., Paola, D., Robutti, O., & Sabena, C. (2009). Gestures as semiotic resources in the mathematics classroom. Educational Studies in Mathematics, 70(2), 97–109. doi: 10.1007/s10649-008-9163-z
  • Barsalou, L. W. (2008). Grounded cognition. Annual Review of Psychology., 59, 617-645.
  • Bieda, K. N., & Nathan, M. J. (2009). Representational disfluency in algebra: Evidence from student gestures and speech. ZDM, 41(5), 637-650. doi:10.1007/s11858-009-0198-0
  • Bjuland, R., Cestari, M.L., & Borgersen, H. E. (2008). The interplay between gesture and discourse as mediating devices in collaborative mathematical reasoning: A multimodal approach. Mathematical Thinking and Learning, 10(3), 271-292. doi: 10.1080/10986060802216169
  • Boyatzis, C. J., & Watson, M. W. (1993). Preschool children's symbolic representation of objects through gestures. Child Development, 64(3), 729-735. doi:10.2307/1131214
  • Broaders, S. C., Cook, S. W., Mitchell, Z., & Goldin-Meadow, S. (2007). Making children gesture brings out implicit knowledge and leads to learning. Journal of Experimental Psychology: General, 136(4), 539. doi: 10.1037/0096-3445.136.4.539
  • Cameron, H., & Xu, X. (2011). Representational gesture, pointing gesture, and memory recall of preschool children. Journal of Nonverbal Behavior, 35(2), 155-171. doi: 10.1007/s10919-010-0101-2
  • Church, R. B., Ayman-Nolley, S., & Mahootian, S. (2004). The role of gesture in bilingual education: Does gesture enhance learning?. International Journal of Bilingual Education and Bilingualism, 7(4), 303-319. doi: 10.1080/13670050408667815
  • Clark, H. H. (1996). Using language. Cambridge: UK.
  • Claxton, G. (2015). Beden: zekânın özü, zihnin bedene sandığınızdan daha çok ihtiyacı var. (Çev. D. Tanla). İstanbul: The Kitap.
  • Cook, S. W., & Goldin-Meadow, S. (2006). The role of gesture in learning: Do children use their hands to change their minds?. Journal of Cognition and Development, 7(2), 211-232. doi: 10.1207/s15327647jcd0702_4
  • Cook, S. W., Mitchell, Z., & Goldin-Meadow, S. (2008). Gesturing makes learning last. Cognition, 106(2), 1047-1058. doi: 10.1016/j.cognition.2007.04.010
  • Edwards, L. D. (2003, April). A natural history of mathematical gesture. In American Educational Research Association Annual Conference, Chicago.
  • Edwards, L. D. (2009). Gestures and conceptual integration in mathematical talk. Educational Studies in Mathematics, 70(2), 127-141. doi: 10.1007/s10649-008-9124-6
  • Efron, D. (1941). Gesture and environment. New York, NY: Kings Crown Press.
  • Ekman, P., & Friesen, W. (1969). The repertoire of nonverbal behavior: Categories, originals, usage, and coding. Semiotica, 1, 49-98. doi: 10.1515/semi.1969.1.1.49
  • Fauconnier, G., & Turner, M. (2002). The way we think: Conceptual blending and the mind’s hidden complexities. New York: Basic Books.
  • Flevares, L. M., & Perry, M. (2001). How many do you see? The use of nonspoken representations in first-grade mathematics lessons. Journal of Educational Psychology, 93(2), 330–345. doi: 10.1037/0022-0663.93.2.330
  • Francaviglia, M., & Servidio, R. (2011). Gesture as a Cognitive Support to Solve Mathematical Problems. Psychology, 2(2), 91-97. doi: 10.4236/psych.2011.22015
  • Glenberg, A. M. (2010). Embodiment as a unifying perspective for psychology. Wiley Interdisciplinary Reviews: Cognitive Science, 1(4), 586-596. doi:10.1002/wcs.55
  • Glenberg, A. M., & Robertson, D. A. (1999). Indexical understanding of instructions. Discourse Processes, 28(1), 1-26. doi: 10.1080/01638539909545067
  • Goldin-Meadow, S. (1999). The role of gesture in communication and thinking. Trends in Cognitive Sciences, 11, 419-429. doi: 10.1016/S1364-6613(99)01397-2
  • Goldin‐Meadow, S. (2000). Beyond words: The importance of gesture to researchers and learners. Child Development, 71(1), 231-239. doi: 10.1111/1467-8624.00138
  • Goldin-Meadow, S. (2003). Hearing gesture: How our hands help us think. Cambridge, MA: Harvard University Press.
  • Goldin-Meadow, S. (2004). Gesture's role in the learning process. Theory into Practice, 43(4), 314-321. doi: 10.1207/s15430421tip4304_10
  • Goldin-Meadow, S., Kim, S., & Singer, M. (1999). What the teacher's hands tell the student's mind about math. Journal of Educational Psychology, 91(4), 720-730. doi: 10.1037/0022-0663.91.4.720
  • Goodwin, C. (2007). Environmentally coupled gestures. In S. Duncan, J. Cassell, & E. Levy (Eds.), Gesture and the dynamic dimension of language (pp. 195–212). Amsterdam, The Netherlands: John Benjamins.
  • Gerofsky, S. (2010). Mathematical learning and gesture: Character viewpoint and observer viewpoint in students’ gestured graphs of functions. Gesture, 10(2-3), 321-343. doi: 10.1075/gest.10.2-3.10ger
  • Gürefe, N. (2015). İşitme engelli öğrencilerin bazı geometrik kavramların tanımlamalarında semiyotik kaynakların kullanımı. Yayımlanmamış doktora tezi, Gazi Üniversitesi Eğitim Bilimleri Enstitüsü, Ankara.
  • Gürefe, N. (2018). The Role of Gestures in Mathematical Discourse of Hard-Hearing Students: Prism Example. Acta Didactica Napocensia, 11, 125-140. doi:10.24193/adn.11.3-4.10
  • Healy, L., & Fernandes, S. H. A. A. (2011). The role of gestures in the mathematical practices of those who do not see with their eyes. Educational Studies in Mathematics, 77(2-3), 157-174.doi: 10.1007/s10649-010-9290-1
  • Hostetter, A. B., & Alibali, M. W. (2008). Visible embodiment: Gestures as simulated action. Psychonomic Bulletin & Review, 15(3), 495-514. doi: 10.3758/PBR.15.3.495
  • Kendon, A. (1988). How gestures can become like words. In Potyatos, F. (Ed.), Crosscultural perspectives in nonverbal communication, (p.p. 131-141). Toronto, Canada: Hogrefe.
  • Kendon, A. (2004). Gesture: Visible action as utterance. Cambridge University Press.
  • Kim, M., Roth, W. M., & Thom, J. (2011). Children’s gestures and the embodied knowledge of geometry. International Journal of Science and Mathematics Education, 9(1), 207-238. doi: 10.1007/s10763-010-9240-5
  • Kita, S. (Ed.). (2003). Pointing: Where language, culture, and cognition meet. Mahwah, NJ: Erlbaum.
  • Lakoff, G., & Johnson, M. (1980). Metaphors we live by. Chicago: University of Chicago.
  • Lakoff, G. (1993). The contemporary theory of metaphor. In A. Ortony (Ed.), Metaphor and thought, (2nd Ed.). (pp. 202-251), Cambridge, UK: Cambridge University Press.
  • Marrongelle, K. (2007). The function of graphs and gestures in algorithmatization. The Journal of Mathematical Behavior, 26(3), 211-229. doi: 10.1016/j.jmathb.2007.09.005
  • McNeill, D. (1992). Hand and mind: What gestures reveal about thought. Chicago: University of Chicago.
  • McNeill, D. (Ed.). (2000). Language and gesture (Vol. 2). Cambridge University, UK.
  • McNeill, D. (2005). Gesture and thought. University of Chicago, London.
  • McNeill, D. (2006). Gesture: a psycholinguistic approach. The Encyclopedia of Language and Linguistics, 58-66.
  • McNeill, D. (2012). How language began: Gesture and speech in human evolution. Cambridge University: New York.
  • Nathan, M. J. (2008). An embodied cognition perspective on symbols, gesture, and grounding instruction. Symbols and Embodiment: Debates on Meaning and Cognition, 18, 375-396. doi: 10.1093/acprof:oso/9780199217274.003.0018
  • National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the national mathematics advisory panel. Washington, DC: U.S. Department of Education.
  • Nemirovsky, R., & Ferrara, F. (2009). Mathematical imagination and embodied cognition. Educational Studies in Mathematics, 70(2), 159-174. doi:10.1007/s10649-008-9150-4
  • Nemirovsky, R., Tierney, C., & Wright, T. (1998). Body motion and graphing. Cognition and Instruction, 16(2), 119-172. doi: 10.1207/s1532690xci1602_1
  • Novack, M. A., & Goldin-Meadow, S. (2017). Gesture as representational action: A paper about function. Psychonomic Bulletin & Review, 24(3), 652-665. doi: 10.3758/s13423-016-1145-z
  • Núñez, R. (2004). Do real numbers really move? Language, thought, and gesture: The embodied cognitive foundations of mathematics. In F. Iida, R. Pfeifer, L. Steels, & Y. Kuniyoshi (Eds.), Embodied artificial intelligence (pp. 54–73). Berlin, Germany: Springer-Verlag.
  • Núñez, R. (2006). Do real numbers really move? Language, thought, and gesture: The embodied cognitive foundations of mathematics. In R. Hersh (Ed.) 18 unconventional essays on the nature of mathematics (pp. 160–181). New York: Springer.
  • O’Halloran, K. L. (1998). Classroom discourse in mathematics: A multisemiotic analysis. Linguistics and Education, 10(3), 359-388. doi: 10.1016/S0898-5898(99)00013-3
  • Özlav, E. (2019). Matematikte temel kavramlara ait jestlerin geliştirilmesi. Yayımlanmamış yüksek lisans tezi. Zonguldak Bülent Ecevit Üniversitesi Fen Bilimleri Enstitüsü, Zonguldak.
  • Perry, M., Church, R. B., & Goldin-Meadow, S. (1988). Transitional knowledge in the acquisition of concepts. Cognitive Development, 3(4), 359-400. doi:10.1016/0885-2014(88)90021-4
  • Pier, E., Walkington, C., Williams, C., Boncoddo, R., Waala, J., Alibali, M. W., & Nathan, M. J. (2014). Hear what they say and watch what they do: predicting valid mathematical proofs using speech and gesture. In W. Penuel, S. A. Jurow, & K. O’Connor (Eds.), Learning and becoming in practice: Proceedings of the Eleventh International Conference of the Learning Sciences (pp. 649-656). Boulder, CO: University of Colorado.
  • Ping, R. M., & Goldin-Meadow, S. (2008). Hands in the air: using ungrounded iconic gestures to teach children conservation of quantity. Developmental Psychology, 44(5), 1277-1287. doi: 10.1037/0012-1649.44.5.1277
  • Polya, G. (1945). How to solve it: A new aspect of mathematical method. Princeton, NJ: Princeton University Press.
  • Radford, L. (2003). Gestures, speech and the sprouting of signs. Mathematical Thinking and Learning, 5(1), 37-70. doi: 10.1207/S15327833MTL0501_02
  • Radford, L. (2009). Why do gestures matter? Sensuous cognition and the palpability of mathematical meanings. Educational Studies in Mathematics, 70(2), 111-126. doi: 10.1007/s10649-008-9127-3
  • Radford, L., Edwards, L., & Arzarello, F. (2009). Introduction: beyond words. Educational Studies in Mathematics, 70(2), 91-95. doi: 10.1007/s10649-008-9172-y
  • Rasmussen, C., Stephan, M., & Allen, K. (2004). Classroom mathematical practices and gesturing. The Journal of Mathematical Behavior, 23(3), 301-323. doi:10.1016/j.jmathb.2004.06.003
  • Richland, L. E. (2015). Linking gestures: Cross-cultural variation during instructional analogies. Cognition & Instruction, 33, 295-321. doi:10.1080/07370008.2015.1091459
  • Richland, L. E., Zur, O., & Holyoak, K. J. (2007). Cognitive supports for analogies in the mathematics classroom. Science, 316, 1128-1129. doi:10.1126/science.1142103
  • Roth, W. M. (2001). Gestures: Their role in teaching and learning. Review of Educational Research, 71(3), 365-392. doi: 10.3102/00346543071003365
  • Shapiro, L. (Eds.). (2014). The Routledge handbook of embodied cognition. Routledge: New York.
  • Shein, P. P. (2012). Seeing with two eyes: A teacher’s use of gestures in questioning and revoicing to engage English language learners in the repair of mathematical errors. Journal for Research in Mathematics Education, 43, 182–222. doi: 10.5951/jresematheduc.43.2.0182
  • Singer, M. A., & Goldin-Meadow, S. (2005). Children learn when their teacher's gestures and speech differ. Psychological Science, 16(2), 85-89. doi:10.1111/j.0956-7976.2005.00786.x
  • Thomas, M. O. J., Yoon, C., & Dreyfus, T. (2009). Multimodal use of semiotic resources in the construction of antiderivative. In R. Hunter, B. Bicknell, & T. Burgess (Eds.), Proceedings of the 32nd conference of the mathematics education research group of Australasia (Vol. 2; pp. 539-546). Wellington, NZ: MERGA.
  • Valenzeno, L., Alibali, M. W., & Klatzky, R. (2003). Teachers’ gestures facilitate students’ learning: A lesson in symmetry. Contemporary Educational Psychology, 28(2), 187-204. doi: 10.1016/S0361-476X(02)00007-3
  • Weinberg, A., Fukawa-Connelly, T., & Wiesner, E. (2015). Characterizing instructor gestures in a lecture in a proof-based mathematics class. Educational Studies in Mathematics, 90(3), 233-258. doi: 10.1007/s10649-015-9623-1
  • Williams-Pierce, C.C, Pier, E. L., Walkington, C., Boncoddo, R., Clinton, V., Alibali, M. W., & Nathan, M. J. (2017). What we say and how we do: action, gesture, and language in proving. Journal for Research in Mathematics Education, 48(3), 248-260. doi: 10.5951/jresematheduc.48.3.0248
  • Wilson, M. (2002). Six views of embodied cognition. Psychonomic Bulletin & Review, 9(4), 625-636. doi: 10.3758/BF03196322
  • Yoon, C., Thomas, M. O., & Dreyfus, T. (2011). Grounded blends and mathematical gesture spaces: Developing mathematical understandings via gestures. Educational Studies in Mathematics, 78(3), 371-393. doi: 10.1007/s10649-011-9329-y
  • Zurina, H., & Williams, J. (2011). Gesturing for oneself. Educational Studies in Mathematics, 77(2-3), 175-188.
Toplam 89 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Konular Alan Eğitimleri
Bölüm Araştırma Makaleleri
Yazarlar

Tuba Akçakoca 0000-0002-1346-0060

Gönül Yazgan Sağ 0000-0002-7237-5683

Yayımlanma Tarihi 30 Ağustos 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 22 Sayı: 2

Kaynak Göster

APA Akçakoca, T., & Yazgan Sağ, G. (2021). Matematikte Anlam Oluşturmada Jestlerin Önemi ve Rolü. Ahi Evran Üniversitesi Kırşehir Eğitim Fakültesi Dergisi, 22(2), 678-703.

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