Teacher’s willingness to form students' ability to model in elementary mathematics
DOI:
https://doi.org/10.38014/ehs-ss.2019.4.07Keywords:
Education modeling, education model, visual education models, modelling skill, elementary mathematicsAbstract
Education modelling in elementary mathematics is an important meta-subject skill. Primary school pupils should learn to model at an accessible level. For primary school learners, visual modelling is particularly important as it corresponds to the specifics of their thinking. Visual modelling uses visual means to learn mathematical concepts. Our research shows that elementary school teachers understand the importance of visual models and regularly use them as a frontal methodology in their teaching practice. However, pupils still lack the skills in creating visual models independently. This article discusses a new methodology for developing students' modeling skills which should be mastered by education graduates.
References
Bartolini Bussi, M. G. Semiotic mediation in the mathematics classroom: artifacts and signs after a Vygotskian perspective / M. G. Bartolini Bussi, M. A. Mariotti // Handbook of international research in mathematics education / ed.: L. D. English [et al.]. – 2nd rev. ed. – New York, 2008. – P. 746–805 (in English).
Card, S. Readings in information visualization: using vision to think / S. Card, J. MacKinlay, B. Shneiderman. – San Francisco : M. Kaufmann, 1999. – 687 p. (in English).
Cook, M. Visual representations in science education: the influence of prior knowledge and cognitive load theory on instructional design principles / M. Cook // Science Education. – 2006. – Vol. 90, № 6. – P. 1073–1091 (in English).
Giaquinto, M. Visual thinking in mathematics: an epistemological study / M. Giaquinto. – Oxford : Oxford Univ. Press, 2007. – 298 p. (in English).
Hattie, John A. C. Visible learning for mathematics, Grades K-12. What works best to optimize student learning / J. A. C. Hattie, D. Fisher, N. Frey, L. M. Gojak, S. D. Moore, W. Mellman. – Kindle Edition: Corwin, 2016. – 301 p. (in English).
Hitt, F. Representations and mathematics visualization / F. Hitt. – Mexico : Cinvestav-IPN, 2002. – 398 p. (in English).
Irons, C. Visual Models in Mathematics: The First Classroom Examples [Electronic resource] / C. Irons. – Mode of access: https:// www.origoeducation.com/blog/ classroom-math-models/. – Date of access: 07.11.2019. (in English).
Mancosu, P. Visualization, explanation and reasoning styles in mathematics / P. Mancosu, K. F. Jorgensen, S. A. Pedersen. – Norwell : Springer, 2005. – 328 p. – (Synthese library ; 327). (in English).
Nardi, E. Reflections on visualization in mathematics and mathematics education / E. Nardi // Mathematics a. mathematics education: searching for common ground / ed.: M. N. Fried, T. Dreyfus. – Dordrecht, 2014. – Р. 193–222 (in English).
Urban, M. Didactic principles of visualization of mathematical concepts in primary education / M. Urban, H. Murauyova, S. Gadzaova // Pedagogika. – 2017. – Vol. 127, № 3. – P. 70–86 (in English).
Beloshistaya, A. V. Teoriya i metodika matematicheskogo razvitiya detej doshkol'nogo vozrasta : uchebnik / A. V. Beloshistaya. – M. : Akademiya, 2017. – 271 s. (in Russian).
Gadzaova, S. V. Itogovaya diagnostika matematicheskoj gramotnosti uchashchihsya IV klassa v kontekste kompetentnostnogo podhoda / S. V. Gadzaova // Pachatkovaya shkola. – 2019 . – № 3. – S. 53–59 (in Russian).
Davydov, V. V. Teoriya razvivayushchego obucheniya / V. V. Davydov. – M. : INTOR, 1996. – 544 s. (in Russian).
Dalinger, V. A. Metodika obucheniya matematike: kognitivno-vizual’nyj podhod : uchebnik / V. A. Dalinger, S. D. Simonzhenkov. – 2-e izd., pererab. I dop. – M. : Yurajt, 2019. – 340 s. (in Russian).
Matematika. Rabochaya tetrad’ : ucheb. posobie dlya 1-go kl. uchrezhdenij obshch. sred. obrazovaniya s rus. yaz. obucheniya : v 2 ch. / G. L. Murav’eva [I dr.]. – Minsk: Nac. in-t obrazovaniya, 2019. – CH. 1. – 56 s. (in Russian).
Murav’eva, G. L. Matematika: ucheb. posobie dlya 1-go kl. uchrezhdenij obshch. sred. obrazovaniya s rus. yaz. obucheniya. V 2 ch. CH.1 / G. L. Murav’eva, M. A. Urban. – Minsk: Nac. in-t obrazovaniya, 2019. – 104 s. (in Russian).
Salmina, N. G. Programma formirovaniya matematicheskih ponyatij I opyt ee realizacii v praktike obucheniya / N. G. Salmina // Vestnik Moskovskogo universiteta, Seriya 14, Psihologiya. – 2012. – № 4. – S. 101–112. (in Russian).
Fridman, L. M. Naglyadnost’ I modelirovanie v obuchenii / L. M. Fridman. – M. : Znanie, 1984. – 80 s. (in Russian).
Stolyar, A. A. Pedagogika matematiki : ucheb. posobie / A. A. Stolyar. – 3-e izd., pererab. I dop. – Minsk : Vysh. shk., 1986. – 413 s. (in Russian).
Urban, M. A. Uchebnoe modelirovanie v processe obucheniya matematike na I stupeni obshchego srednego obrazovaniya: metodologicheskij I istoricheskij aspekty / M. A. Urban. – Minsk : Belorus. gos. ped. un-t, 2018. – 198 s. (in Russian).
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Copyright (c) 2019 Sviatlana GADZAOVA, Halina MURAUYOVA, Maryia URBAN

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