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Theoretical Framework of Constructivist Web-Based Learning Environment Model to Enhance Mathematical Problem Solving

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Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 11937))

Abstract

The purpose of this research was to synthesize theoretical framework of constructivist web-based learning environment model to enhance mathematical problem solving. The design and development research model is employed in this study. The research procedure consists of four main steps: first step document analysis and examination of learning and teaching context. Second step examining and analyzing the related principles and theories such as learning theory, constructivist theories, mathematical problem solving, media theory, and technology. Third step to study instructional context. The fourth step to synthesize the theoretical framework. The result revealed that: the theoretical framework consisted of 7 bases were as follows: (a) Basic contextual: (i) the education core curriculum, (ii) basic mathematics belong learning area of mathematics in secondary high school, (ii) context for high school mathematics learning focused on thinking and mathematical process skills for higher education. (b) Basic of mathematical problem solving: (i) how to solve it of Polya, (ii) problem solving of Krulik and Rudnick (c) Basic teaching sciences: (i) constructivist theory is cognitive constructivism and social constructivism, (ii) cognitive Theory is information processing theory, schema theory, mental model theory, metacognition theory and cognitive load theory. (d) Basics of learning psychology of constructivist learning environment model: (i) OLEs model, (ii) CLEs model, (iii) SOI model, (iv) cognitive apprenticeship, (v) situated learning. (e) Foundations of media theory: (i) media symbol system, (ii) learning with multimedia. (f) Fundamentals of technology: (i) web-based learning environment, (ii) Facebooks, Line, Google Classrooms. (g) Basic of neuroscience.

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References

  1. Mai, N., Tse-Kian, N.: Engaging students in multimedia-mediated constructivist learning Students’ perception. Educ. Technol. Soc. 12(2), 254–266 (2009)

    Google Scholar 

  2. Fosnot, C.T.: Constructivism: a psychological theory of learning. In: Fosnot, C.T. (ed.) Constructivism: Theory, perspectives, and practice, pp. 8–33. Teachers College Press, New York (1996)

    Google Scholar 

  3. Fer, S., Akyol, S.: Effects of social constructivist learning environment design on 5th grade learners’ learning. Procedia - Soc. Behav. Sci. 9, 948–953 (2010)

    Article  Google Scholar 

  4. Sweller, J.: Cognitive load theory, learning difficulty and instructional design. Learn. Instr. 4, 295–312 (1994)

    Article  Google Scholar 

  5. Cobb, P.: Where is the mind? Constructivist and social cultural perspectives on mathematical development. Educ. Res. 23(7), 13–20 (1994)

    Article  Google Scholar 

  6. Wang, Y., et al.: Perspectives on cognitive computing and applications. Int. J. Softw. Sci. Comput. Intell. 2(4), 32–44 (2010)

    Article  Google Scholar 

  7. Yuan, S.: The Teacher’s Role in Problem-solving: A Study of Elementary Mathematics Programs from Teachers’ Perspectives. a research paper submitted in conformity with the Requirements For the degree of Master of Teaching Department of Curriculum, Teaching and Learning Ontario Institute for Studies in Education of the University of Toronto (2016)

    Google Scholar 

  8. Richey, R.C., Klein, J.D.: Design and Development Research Methods, Strategies and issues. Lawrence Erlbaum Associates, New Jersey (2007)

    Google Scholar 

  9. Huy, P.P., Bing, H.N., Alexander, S.Y.: School of education institute for positive psychology and education. Achiev. Optim. Best: Instr. Effic. Use Cogn. Load Theory Math. Probl. Solving 29(3), 667–692 (2016)

    Google Scholar 

  10. Polya, G.: How to Solve It: A New Aspect of Mathematical Method. Doubleday and Company Garden City, New York (1957)

    MATH  Google Scholar 

  11. Krulik, S., Rudnick, J.A.: Problem Solving. Allyn and Bacon, Boston (1987)

    Google Scholar 

  12. Piaget, J.: Judgment and Reasoning in the Child. Translated by Marjorie Warden. Roultedge & Kegan Paul, London (1989)

    Google Scholar 

  13. Vygotsky, L.: Interaction between learning and development. In: Gauvain, M., Cole, M. (eds.) Readings on the Development of Children. Scientific American Books, New York (1978)

    Google Scholar 

  14. Klausmeier, H.J.: Educational Phychology. (S thed). Harper & Row, New York (1985)

    Google Scholar 

  15. Wilson, B.G., Cole, P.: Cognitive dissonance as an instructional variable. Ohio Media Spectr. 43(4), 11–21 (1991)

    Google Scholar 

  16. Guilford, J.P.: The Nature of Human Intelligence. McGraw-Hill BookCompany, New York (1967)

    Google Scholar 

  17. Hannafin, M.J.: Video assessment of classroom teaching practices: lessons learned, problems & issues. Educ. Technol. 50(1), 32–37 (1999)

    Google Scholar 

  18. Mayer, R.E.: The origin and decline of two rural resistance ideologies. In: Mayer, P. (ed.) Black Villagers in an Industrial Society: Anthropological Perspective on Labor Migration in South Africa. Oxford University Press, Cape Town (1999)

    Google Scholar 

  19. Mayer, R.E.: Designing Instruction for Constructivist Learning. Instructional Design Theories and Models: A New Paradigm of Instructional Theory, vol. II. Lawrence Erlbaum Associates, Newjersy (1996)

    Google Scholar 

  20. Brown, C.: Duguid. Situated cognition and the culture of learning. Educ. Res. 18(1), 32–42 (1989)

    Article  Google Scholar 

  21. Donald, D.M.: Augmented reality on mobile devices to improve the academic achievement and independence of students with disabilities. Doctoral Dissertations, University of Tennessee, Knoxville (2014)

    Google Scholar 

  22. Solvie, P., Kloek, M.: Using technology tools to engage students with multiple learning styles in a constructivist learning environment. Contemp. Issues Technol. Teach. Educ. 7(2), 7–27 (2014)

    Google Scholar 

  23. Dikaya, L.A., Ermakov, P.N., Dikiy, I.S.: EEG correlates of professional creative problem solving with insight. Int. J. Psychophysiol. 3(85), 361–430 (2012)

    Google Scholar 

  24. Samat, C., Chaijaroen, S.: Design and development of learning environment to enhance creative thinking and innovation skills for teacher training in the 21st century. In: Proceedings of the 23rd International Conference on Computers in Education, ICCE 2015, pp. 667–672 (2015)

    Google Scholar 

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Acknowledgements

This research was supported by Ph.D. Program in Educational Technology, Faculty of Education, Research Group for Innovation and Cognitive Technology, Khon Kaen, University, and Research and Technology Transfer Affairs Division, Khon Kaen University, and Graduate School, Khon Kaen University which hereby giving the thankfulness all through this.

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Correspondence to Sathapon Chaisri .

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Chaisri, S., Chaijaroen, S., Jackpeng, S. (2019). Theoretical Framework of Constructivist Web-Based Learning Environment Model to Enhance Mathematical Problem Solving. In: Rønningsbakk, L., Wu, TT., Sandnes, F., Huang, YM. (eds) Innovative Technologies and Learning. ICITL 2019. Lecture Notes in Computer Science(), vol 11937. Springer, Cham. https://doi.org/10.1007/978-3-030-35343-8_28

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  • DOI: https://doi.org/10.1007/978-3-030-35343-8_28

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