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Mutual calculations in creating accounting models: a demonstration of the power of matrix mathematics in accounting education

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  • Anna Vysotskaya
  • Oleg Kolvakh
  • Greg Stoner

Abstract

The aim of this paper is to describe the innovative teaching approach used in the Southern Federal University, Russia, to teach accounting via a form of matrix mathematics. It thereby contributes to disseminating the technique of teaching to solve accounting cases using mutual calculations to a worldwide audience. The approach taken in this course provides useful insights for both accounting educators and accounting students by providing an alternative explanation and understanding of the main principles of accounting, and does so using a simple game simulation. This paper provides readers with an awareness of the broader international environment of accounting education and of the techniques that can be adopted in the teaching of accounting. The paper also demonstrates that any accounting operation can be represented by matrix equations, and, as a result, adds to the understanding of alternative processes of recording transactions and the mathematical generation of essential accounting reports. The paper thereby reveals the potential value of matrix-based approaches to accounting within the accounting educational environment.

Suggested Citation

  • Anna Vysotskaya & Oleg Kolvakh & Greg Stoner, 2016. "Mutual calculations in creating accounting models: a demonstration of the power of matrix mathematics in accounting education," Accounting Education, Taylor & Francis Journals, vol. 25(4), pages 396-413, July.
    • Handle: RePEc:taf:accted:v:25:y:2016:i:4:p:396-413
    DOI: 10.1080/09639284.2016.1191273
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    References listed on IDEAS

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    1. David Ellerman, 2014. "On Double-Entry Bookkeeping: The Mathematical Treatment," Accounting Education, Taylor & Francis Journals, vol. 23(5), pages 483-501, October.
    2. Irina Smirnova & Jaroslav Sokolov & Clive Emmanuel, 1995. "Accounting education in Russia today," European Accounting Review, Taylor & Francis Journals, vol. 4(4), pages 833-846.
    3. Demski, Joel S. & FitzGerald, Stephen A. & Ijiri, Yuji & Ijiri, Yumi & Lin, Haijin, 2006. "Quantum information and accounting information: Their salient features and conceptual applications," Journal of Accounting and Public Policy, Elsevier, vol. 25(4), pages 435-464.
    4. Alan Sangster, 2010. "Using accounting history and Luca Pacioli to put relevance back into the teaching of double entry," Accounting History Review, Taylor & Francis Journals, vol. 20(1), pages 23-39.
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    Cited by:

    1. Apostolou, Barbara & Dorminey, Jack W. & Hassell, John M. & Rebele, James E., 2017. "Accounting education literature review (2016)," Journal of Accounting Education, Elsevier, vol. 39(C), pages 1-31.
    2. Anna Vysotskaya, 2018. "Accounting Games: Using Matrix Algebra in Creating the Accounting Models," Mathematics, MDPI, vol. 6(9), pages 1-9, August.

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