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New Algorithms for Smart Assessment of Math Exercises

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New Contributions in Information Systems and Technologies

Abstract

This paper deals with the field of mathematics education where the aim is to generate exercises with randomized data. The process of exercise generation involves, first, identification of common errors that may be performed when solving the exercise, then, modeling of these errors by appropriate functions and recognition and distinction of errors through algorithms. Thus, although randomized, the exercise parameters must be chosen in such a way that it would be possible to understand the error the student committed and with it to guarantee a proper feedback on his answer. We call this process smart assessment. In this paper we present two algorithms for exercise generation admitting smart assessment.

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References

  1. Belmonte, M.V., Guzman, E., Mandow, L., Millan, E., Perez de la Cruz, J.L.: Automatic Generation of Problems in Web-based Tutors. In: Virtual Environments for Teaching and Learning, pp. 237–281. World Scientific Publishing (2002)

    Google Scholar 

  2. Tomás, A.P., Leal, J.P.: A CPL-based tool for Computer aided generation and solving of Maths exercises. In: Dahl, V. (ed.) PADL 2003. LNCS, vol. 2562, pp. 223–240. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  3. Sangwin, C.J., Grove, M.J.: STACK: Addressing the needs of the neglected learners. In: 1st WebALT Conference and Exhibition, pp. 81–95. Technical University of Eindhoven, WebALT Inc., University, Netherlands (2006)

    Google Scholar 

  4. Guerman, A., Santos, C., Costa, R., Raposo, A., Mendonça, A., Lopes, C.: Plataforma SEMENTE: Tecnologias de Informação para o Ensino na UBI. Engenharias 07 Inovação & Desenvolvimento Conference. Covilhã (2007)

    Google Scholar 

  5. Tomás, A.P., Leal, J.P., Domingues, M.A.: A Web Application for Mathematics Education. In: Leung, H., Li, F., Lau, R., Li, Q. (eds.) ICWL 2007. LNCS, vol. 4823, pp. 380–391. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  6. Pereira, R.M.S., Brito, I., Machado, G.J., Malheiro, T., Vaz, E., Flores, M., Figueiredo, J., Pereira, P., Jesus, A.: New e-learning objects for the Mathematics courses from Engineering degrees: Design and Implementation of Question Banks in Maple T. International Journal of Education and Information Tecnologies 4, 7–14 (2010)

    Google Scholar 

  7. Millan, E., Descalço, L., Castillo, G., Oliveira, P., Diogo, S.: Using Bayesian Networks to improve knowledge assessment. Journal Computers and Education 60, 436–447 (2013)

    Article  Google Scholar 

  8. Queirós, R., Leal, J.L.: A survey on e-Learning content standardization. CCIS 278, 433–438 (2013)

    Google Scholar 

  9. Almeida, J.J., Araújo, I., Brito, I., Carvalho, N., Machado, G.J., Pereira, R.M.S., Smirnov, G.: Math exercise generation and smart assessment. TICAMES (2013)

    Google Scholar 

  10. Almeida, J.J., Araújo, I., Brito, I., Carvalho, N., Machado, G.J., Pereira, R.M.S., Smirnov, G.: PASSAROLA: High-Order Exercise Generation System. CISTI 2013, Lisboa (2013)

    Google Scholar 

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© 2015 Springer International Publishing Switzerland

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Araújo, I., Brito, I., Machado, G.J., Pereira, R.M.S., João Almeida, J., Smirnov, G. (2015). New Algorithms for Smart Assessment of Math Exercises. In: Rocha, A., Correia, A., Costanzo, S., Reis, L. (eds) New Contributions in Information Systems and Technologies. Advances in Intelligent Systems and Computing, vol 353. Springer, Cham. https://doi.org/10.1007/978-3-319-16486-1_121

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  • DOI: https://doi.org/10.1007/978-3-319-16486-1_121

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-16485-4

  • Online ISBN: 978-3-319-16486-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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