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Using Boolean- and Self-Enforcing-Networks for Mathematical E-Tutorial Systems

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Advances in Computational Intelligence (IWANN 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11507))

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Abstract

Mathematical thinking as an important instrument in science is a stumbling block for many students in the first years. A lot of investigations occur to help the students understanding the principles of mathematics. The proposed tutorial system for the basics focuses on the analysis and visualizations of the solution algorithms and solution processes with Boolean Networks and Self-Enforcing Networks. The students can check not only the correctness of their results, but also if the solution steps are complete. In addition, in case of wrong results the students can check in which step of the solution they made a mistake and what kind of mistake. The goal is to promote the explorative learning and to help understanding the problems through self-recognition.

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References

  1. Sorvo, R., et al.: Math anxiety and its relationship with basic arithmetic skills among primary school children. Br. J. Educ. Psychol. 87, 309–327 (2017)

    Article  Google Scholar 

  2. Marshall, E.M., Staddon, R.V., Wilson, D.A., Mann, E.V.: Addressing maths anxiety and engaging students with maths within the curriculum. MSOR Connections 15(3), 28–35 (2017)

    Article  Google Scholar 

  3. Mercer, C.D., Miller, S.P.: Teaching students with learning problems in math to acquire, understand, and apply basic math facts. Remedial Educ. 13(3), 19–35 (1992)

    Article  Google Scholar 

  4. Ginsburg, H.P.: Mathematics learning disabilities: a view from developmental psychology. J. Learn. Disabil. 30(1), 20–33 (1997)

    Article  Google Scholar 

  5. Duval, R.A.: Cognitive analysis of problems of comprehension in a learning of mathematics. Educ. Stud. Math. 61(103), 103–131 (2006)

    Article  Google Scholar 

  6. Straehler-Pohl, H., Pais, A., Bohlmann, N.: Welcome to the jungle. an orientation guide to the disorder of mathematics education. In: Straehler-Pohl, H., Bohlmann, N., Pais, A. (eds.) The Disorder of Mathematics Education, pp. 1–15. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-34006-7_1

    Chapter  Google Scholar 

  7. Faber, J.M., Luyten, H., Visscher, A.J.: The effects of a digital formative assessment tool on mathematics achievement and student motivation: results of a randomized experiment. Comput. Educ. 106, 83–96 (2017)

    Article  Google Scholar 

  8. Almohammadi, K., Hagras, H., Alghazzawi, D., Aldabbagh, G.: A Survey of artificial intelligence techniques employed for adaptive educational systems within E-learning platforms. JAISCR 7(1), 47–64 (2017)

    Google Scholar 

  9. Dutt, A., Ismail, M.A., Herawan, T.: A systematic review on educational data mining. IEEE Access 5, 15991–16005 (2017)

    Article  Google Scholar 

  10. Montebello, M.: AI Injected e-Learning: The Future of Online Education. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-67928-0

    Book  Google Scholar 

  11. AbuEloun, N.N., Abu Naser, S.S.: Mathematics intelligent tutoring system international. J. Adv. Sci. Res. 2(1), 11–16 (2017)

    Google Scholar 

  12. Paiva, R.C., Ferreira, M.S., Frade, M.M.: Intelligent tutorial system based on personalized system of instruction to teach or remind mathematical concepts. J. Comput. Assist. Learn. 33(4), 370–381 (2017)

    Article  Google Scholar 

  13. Xin, Y.P., Tzur, R., Hord, C., Liu, J., Young Park, J., Si, L.: An intelligent tutor-assisted mathematics intervention program for students with learning difficulties learning disability. Quarterly 40(1), 4–16 (2017)

    Google Scholar 

  14. Lin, S., Thomas, D.: Inquiry-based science and mathematics using dynamic modeling. SCIREA J. Math. 2(2), 28–40 (2017)

    Google Scholar 

  15. Chakraborty, U., Konar, D., Roy, S., Choudhury, S.: Intelligent evaluation of short responses for e-learning systems. In: Satapathy, S.C., Prasad, V.K., Rani, B.P., Udgata, S.K., Raju, K.S. (eds.) Proceedings of the First International Conference on Computational Intelligence and Informatics. AISC, vol. 507, pp. 365–372. Springer, Singapore (2017). https://doi.org/10.1007/978-981-10-2471-9_35

    Chapter  Google Scholar 

  16. Huang, C.S.J., Su, A.Y.S., Yang, S.J.H., Liou, H.-H.: A collaborative digital pen learning approach to improving students’ learning achievement and motivation in mathematics courses. Comput. Educ. 107, 31–44 (2017)

    Article  Google Scholar 

  17. Duval, R.: Representation, vision and visualization: cognitive functions in mathematical thinking. basic issues for learning. In: Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, pp. 3–26 (1999)

    Google Scholar 

  18. Vale, I., Barbos, A.: The importance of seeing in mathematics communication. J. Eur. Teach. Educ. Netw. 12, 49–63 (2017)

    Google Scholar 

  19. Klüver, C., Klüver, J.: Soft computing tools for the analysis of complex problems. In: Impe, J.F.M., Logist, F. (Eds.) Proceedings of the 1st International Simulation Tools Conference & Expo – SIMEX 2013, pp. 23–30 (2013)

    Google Scholar 

  20. Klüver, C., Klüver, J.: Self-organized learning by self-enforcing networks. In: Rojas, I., Joya, G., Gabestany, J. (eds.) IWANN 2013. LNCS, vol. 7902, pp. 518–529. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-38679-4_52

    Chapter  Google Scholar 

  21. Klüver, C.: Self-enforcing neworks (SEN) for the development of (medical) diagnosis systems. In: Proceedings of the International Joint Conference on Neural Networks (IJCNN): IEEE World Congress on Computational Intelligence (IEEE WCCI), Vancouver, pp. 503–510 (2016)

    Google Scholar 

  22. Klüver, C.: A self-enforcing network as a tool for clustering and analyzing complex data. Procedia Comput. Sci. 108, 2496–2500 (2017). ICCS, Zürich

    Article  Google Scholar 

  23. Klüver, C., Klüver, J., Zinkhan, D.: A self-enforcing neural network as decision support system for air traffic control based on probabilitstic weather forecasts. In: Proceedings of the IEEE International Joint Conference on Neural Networks (IJCNN). Anchorage, AK, pp. 729–736 (2017)

    Google Scholar 

  24. Schwinning, N., Kurt-Karaoglu, F., Striewe, M., Zurmaar, B., Goedicke, M.: A framework for generic exercises with mathematical content. In: Proceedings of the International Conference on Learning and Teaching in Computing and Engineering (LaTiCE 2015), pp. 70–75 (2015)

    Google Scholar 

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Correspondence to Christina Klüver .

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Klüver, C., Klüver, J. (2019). Using Boolean- and Self-Enforcing-Networks for Mathematical E-Tutorial Systems. In: Rojas, I., Joya, G., Catala, A. (eds) Advances in Computational Intelligence. IWANN 2019. Lecture Notes in Computer Science(), vol 11507. Springer, Cham. https://doi.org/10.1007/978-3-030-20518-8_70

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  • DOI: https://doi.org/10.1007/978-3-030-20518-8_70

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-20517-1

  • Online ISBN: 978-3-030-20518-8

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