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Action Research on Visualization Learning of Mathematical Concepts Under Personalized Education Idea: Take Learning of Geometrical Concepts of Elementary Math for Example

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Blended Learning: Aligning Theory with Practices (ICBL 2016)

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Abstract

Mathematical concepts are usually abstract and logic-related. Pupils need to master a lot of mathematical concepts to smoothly solve mathematical problems and conduct mathematical reasoning and judgments. However, at the transition stage from specific image thinking to abstract logic thinking, pupils have difficulties to understand abstract mathematical concepts. Based on learning activity theory, this paper proposed five activities of visualization learning, namely, situation, thinking, interaction, lucubration and evaluation. It aims to cultivate the pupil’s abilities on independent learning, mathematical thought, cooperative exploration, acquiring and restructuring of knowledge, and proposing and solving problems. Through two rounds of action researches, these were applied to learning geometrical concepts of elementary mathematics. The evaluation results showed that the visualization learning of elementary mathematics can improve learning abilities.

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References

  1. Zheng, Y., Wang, X.: Elementary school mathematics concept teaching. J. Hubei Educ. 12, 50–51 (2006)

    Google Scholar 

  2. Li, S.: The elementary school lower grade mathematics concept teaching strategy research. Educ. Pract. Res. (A) 05, 47–49 (2014)

    Google Scholar 

  3. Wang, W., Wang, Y.: Several problems of elementary school mathematics education thinking. Courses Teach. Mater. Instr. 07, 5–9 (2002)

    Google Scholar 

  4. Hong, S.: Promote the collaborative development of students thinking in images and abstract thinking: strengthen the concept of teaching in the elementary school mathematics teaching practice. Chin. J. Educ. 05, 36–39 (2004)

    Google Scholar 

  5. Yang, X.: wo key problems of elementary school mathematics learning. The New Curriculum (primary school) 07, 30 (2012)

    Google Scholar 

  6. Gao, D.: The elementary school mathematics concept teaching and training of thinking. Yaan J. Vocat. Tech. Coll. 02, 93 (2009)

    Google Scholar 

  7. Caligaris, M.: Learning styles and visualization in numerical analysis. Procedia-Soc. Behav. Sci. 174, 3696–3701 (2015)

    Article  Google Scholar 

  8. Koralcalcis, G., Pavlatou, E.A., Palyvos, J.A., Spyrellis, N.: 3D visualization types in multimedia applications for science learning: a case study for 8th grade students in Greece. Comput. Educ. 52, 390–401 (2009)

    Article  Google Scholar 

  9. Salmi, H.: Towards an Open Learning Environment via Augmented Reality (AR): visualizing the invisible in science centers and schools for teacher education. Procedia-Soc. Behav. Sci. 45, 284–295 (2012)

    Article  Google Scholar 

  10. Chen, L., Chen, X.: Using the theory of concept map to cultivate innovative thinking of inquiry. Teach. Manag. 15, 13–15 (2008)

    Google Scholar 

  11. Zhao, H., Wang, Y.: Retrospect and prospect of thinking visualization research in China - based on 2003–2013 China CNKI paper analysis. China Audio-Vis. Educ. 04, 10–17 (2014)

    Google Scholar 

  12. Wang, Y., Qiu, F.: A web-based system for visualizing and analyzing interaction structure in online collaborative learning. Adv. Web Based Learn. 5686, 424–433 (2009)

    Google Scholar 

  13. Yan, T.: The Elementary School Mathematics Concept Teaching Strategy Research. Tianjin Normal University, Tianjin (2010)

    Google Scholar 

  14. Li, X.: The optimization tactics of the elementary school mathematics concept teaching. J. Educ. 2, 79 (2007)

    Google Scholar 

  15. Zeng, D.: Elementary school mathematics concept teaching is introduced into the basic strategy. J. Educ. Guide 7, 54–55 (2007)

    Google Scholar 

  16. Klerkx, J.: Enhancing learning with visualization techniques. Handb. Res. Educ. Commun. Technol. 05, 791–807 (2013)

    Google Scholar 

  17. Eppler, J.M., Burkard, R.: Knowledge Visualization Towards a New Discipline and its Fields of Application. University of Lugano, Lugano (2004)

    Google Scholar 

  18. Marta, C., Georgina, R., Lorena, L.: Learning styles and visualization in numerical analysis Argentina. Procedia-Soc. Behav. Sci. 174, 3696–3701 (2015)

    Article  Google Scholar 

  19. Zhao, H.: The analysis framework of knowledge visualization visual representation. Open Educ. Res. 05, 51–58 (2010)

    Google Scholar 

  20. Li, Y., Wang, N.: Mobile learning environment design based on knowledge visualization research. China Audio-Vis. Educ. 11, 21–24 (2013)

    Google Scholar 

  21. Cui, W.: Visual cognition tool in the application of the anatomy and tissue embryology teaching exploration. Sci. Tribune (ten-day) 1, 146–147 (2013)

    Google Scholar 

  22. Zhang, Y.: Using the Concept Map Evaluation of High School Students Mathematical Cognitive Structure Research. Nanjing Normal University, Nanjing (2012)

    Google Scholar 

  23. Peng, J.: Based on the Mind Map of Divergent Thinking Training Study in Junior High School Students. Qufu Normal University, Qufu (2012)

    Google Scholar 

  24. Engeström, Y.: Expansive learning at work: toward an activity theoretical reconceptualization. J. Educ. Work 14(1), 133–156 (2001)

    Article  Google Scholar 

  25. Stolyar, A.A.: Mathematics Pedagogy, vol. 3, pp. 104–106. People’s Education Press, Beijing (1985)

    Google Scholar 

  26. Mingyuan, G.: Personalized education and personnel training mode innovation. Chin. J. Educ. 10, 5–8 (2011)

    Google Scholar 

  27. Liu, Y., Yuan, G.: Analyzed of the connotation and characteristics of personalized education. Educ. Criticism 04, 16–18 (2000)

    Google Scholar 

  28. Cao, X.: Personalized education principles and methods. In: The International Association of Personalized Education Council of China, 12, pp. 66–70 (2011)

    Google Scholar 

  29. Standards of Mathematic Curriculum of Compulsory Education (2011 version). Normal University Press, Beijing (2012)

    Google Scholar 

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Correspondence to Ningwei Sun .

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© 2016 Springer International Publishing Switzerland

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Sun, N., Li, K., Zhu, X. (2016). Action Research on Visualization Learning of Mathematical Concepts Under Personalized Education Idea: Take Learning of Geometrical Concepts of Elementary Math for Example. In: Cheung, S., Kwok, Lf., Shang, J., Wang, A., Kwan, R. (eds) Blended Learning: Aligning Theory with Practices . ICBL 2016. Lecture Notes in Computer Science(), vol 9757. Springer, Cham. https://doi.org/10.1007/978-3-319-41165-1_31

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  • DOI: https://doi.org/10.1007/978-3-319-41165-1_31

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-41164-4

  • Online ISBN: 978-3-319-41165-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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