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Part of the book series: Studies in Computational Intelligence ((SCI,volume 569))

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Abstract

It is important for each leader to know relationship of the reason why each learner mistakes the problem of Mathematics. But, it does not exist about previous research. Therefore, in this research, we collected answers of each learner for knowing element of difficulty level in Mathematics. And we identified 10 types. 10 types are “lack of understand(problem statement, Number & Symbol, Formula, Concept)”, “circumstances of learner (inside)”, “circumstances of learner (outside)”, “Miscalculation”, “Copy miss”, “Lack of logical thinking (Deduction)” and “Lack of logical thinking (Induction)”.

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References

  1. Baker: Item Response Theory: Parameter Estimation Technique. Marcel Dekker, United States (1992)

    Google Scholar 

  2. Barbu, C.O., Beal, R.C.: Effects of Linguistic Complexity and Math Difficulty on Word Problem Solving by English Learners. International Journal of Education 2(2), 1–19 (2010)

    Article  Google Scholar 

  3. Belton, V., Gear, T.: The legitimacy of rank reversal-A Comment. OMEGA the International Journal of Management Science 13(3), 14444 (1985)

    Article  Google Scholar 

  4. Chalmers, D.J.: The conscious mind: In search of a fundamental theory. Oxford University Press, Oxford (1996)

    MATH  Google Scholar 

  5. Hirasihima, Y., Mori, T., Tani, T.: On the System of Numbers Considered from the Degree of Difficulty. Journal of JAPAN Society of Mathematical Education 37(10), 148–151 (1955)

    Google Scholar 

  6. Kohonen, T.: Self-Organizing Maps. Series in Information Sciences, pp. 1–521 (2000)

    Google Scholar 

  7. Maeda, M., Nishio, Y.: Research on Difficulty of Multiplication and Division Word Problems. Mathematics Education Research, 531–137 (2000)

    Google Scholar 

  8. Meece, J.L., Wigfield, A., Eccles, J.S.: Predictors of math anxiety and its influence on young adolescents’ course enrollment intentions and performance in mathematics. Journal of Educational Psychology 82(1), 60–70 (1990)

    Article  Google Scholar 

  9. Joslyn, C., Rocha, L.: Towards semiotic agent-based models of socio-technical organizations. In: Proc. AI, Simulation and Planning in High Autonomy Systems (AIS 2000), pp. 70–79 (2000)

    Google Scholar 

  10. Hill, H.C., Ball, D.L., Schilling, S.G.: Unpacking Pedagogical Content Knowledge: Conceptualizing and Measuring Teachers’ Topic-Specific Knowledge of Students. Journal for Research in Mathematics Education 39(4), 372–400 (2008)

    Google Scholar 

  11. Jiromaru, T., Matsuo, T.: OMES: Employment support system for high education. CIEC, Computer & Education 32, 71–76 (2012)

    Google Scholar 

  12. Mogi, K.: Generation and qualia in brain. In: Suzuki, H. (ed.) Emergent and Conception of Intelligence, pp. 25–40. Ohmsha (2006)

    Google Scholar 

  13. Penrose, R.: Emperor’s New Mind. Oxford University Press, Oxford (1989)

    Google Scholar 

  14. Raghubar, K., Cirino, P., Barnes, M., et al.: Journal of Learning Disabilities, 4356–4371 (2009)

    Google Scholar 

  15. Riley, N.S., Greeno, J.G.: Developmental Analysis of Understanding Language About Quantities and of Solving Problems. Cognition and Instruction 5(1), 49–101 (1988)

    Article  Google Scholar 

  16. Saaty, L.S.: How to Make a Decision: The Analytic Hierarchy Process. Interfaces 24(6), 19–43 (1994)

    Article  MathSciNet  Google Scholar 

  17. Searle, J.: The Chinese room revisited. Behavioral and Brain Sciences 5(2), 345–348 (1982)

    Article  Google Scholar 

  18. Shimizu, H., Ide, S.: Gaps in students’ learning in elementary mathematics classes. Journal of Japan Society of Mathematical Education 85(10), 11–18 (2003)

    Google Scholar 

  19. Shojima, K.: Neural Test Theory: A Test Theory for Standardizing Qualifying Tests. The Journal of Institute of Electronics Information and Communication Engineers 92(12), 1014016 (2009)

    Google Scholar 

  20. Soga, C., Miyake, S., Wada, C.: Differences in Physiological Responses Induced by Mental Tasks with Different Difficulty Levels. The Japanese Journal of Ergonomics 45(1), 29–35 (2009)

    Article  Google Scholar 

  21. Roberts, R.J., Varney, N.R., et al.: The neuropathology of everyday life: The frequency of partial seizure symptoms among normals. Neuropsychology 4(2), 65–85 (1990)

    Article  Google Scholar 

  22. Tsukihara, Y., Suzuki, K., Hirose, H.: A small implementation case of the mathematics tests with the item response theory evaluation into an e-learning system. CIEC, Computer & Education 24, 70–76 (2008)

    Google Scholar 

  23. Weaver, W.: Science and complexity. American Scientist 36, 536–544 (1948)

    Google Scholar 

  24. Yamagata University Faculty of Engineering, Past entry-exam data (2013), http://www2.yz.yamagata-u.ac.jp/admission/admissiondata.html (accessed April 24, 2014)

  25. Yoshizawa, M.: Classification of Students’ Stumbles while Learning Mathematics. Journal of Japan Society of Mathematical Education 88(3), 228 (2006)

    Google Scholar 

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Correspondence to Taku Jiromaru .

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Jiromaru, T., Kosaka, T., Matsuo, T. (2015). Elements of Difficulty Level in Mathematics. In: Lee, R. (eds) Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing. Studies in Computational Intelligence, vol 569. Springer, Cham. https://doi.org/10.1007/978-3-319-10389-1_7

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  • DOI: https://doi.org/10.1007/978-3-319-10389-1_7

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10388-4

  • Online ISBN: 978-3-319-10389-1

  • eBook Packages: EngineeringEngineering (R0)

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