• DocumentCode
    1598652
  • Title

    Automatic Assessment of Proving Problems in Middle School Algebra

  • Author

    Li, Bing ; Liu, Li ; Li, Lian

  • Author_Institution
    Sch. of Math. & Stat., Lanzhou Univ., Lanzhou, China
  • Volume
    2
  • fYear
    2011
  • Firstpage
    205
  • Lastpage
    208
  • Abstract
    Automatic assessment of proving problems is very important is mathematic e-learning systems. It accepts the answer of a proving problem, which can be written in a controlled natural language, and then translates it into a formal proof, e.g. in Isabelle/Isar. The correctness of the original answer is equivalent to that of the formal one obtained from the translation, which can be verified in a theorem prover automatically. In this paper, we describe a method which can be used to verify such formal proofs in theorem proving systems.
  • Keywords
    algebra; computer aided instruction; mathematics computing; natural language processing; theorem proving; automatic proving problems assessment; controlled natural language; formal proof; mathematic e-learning systems; middle school algebra; theorem proving systems; Algebra; Artificial intelligence; Cognition; Educational institutions; Engines; Equations; Mathematical model; Isabelle/Isar; automatic assessment; controlled automatic theorem proving; elemtentary algebra;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Human-Machine Systems and Cybernetics (IHMSC), 2011 International Conference on
  • Conference_Location
    Zhejiang
  • Print_ISBN
    978-1-4577-0676-9
  • Type

    conf

  • DOI
    10.1109/IHMSC.2011.121
  • Filename
    6038251