IDEAS home Printed from https://ideas.repec.org/a/taf/accted/v25y2016i4p396-413.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/09639284.2016.1191273
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/09639284.2016.1191273?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. David Ellerman, 2014. "On Double-Entry Bookkeeping: The Mathematical Treatment," Accounting Education, Taylor & Francis Journals, vol. 23(5), pages 483-501, October.
    3. Irina Smirnova & Jaroslav Sokolov & Clive Emmanuel, 1995. "Accounting education in Russia today," European Accounting Review, Taylor & Francis Journals, vol. 4(4), pages 833-846.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Anna Vysotskaya, 2018. "Accounting Games: Using Matrix Algebra in Creating the Accounting Models," Mathematics, MDPI, vol. 6(9), pages 1-9, August.
    2. Tyrrall, David & Woodward, David & Rakhimbekova, Almagoul, 2007. "The relevance of International Financial Reporting Standards to a developing country: Evidence from Kazakhstan," The International Journal of Accounting, Elsevier, vol. 42(1), pages 82-110.
    3. Renes, S., 2020. "When Debit=Credit. The balance constraint in bookkeeping, its causes and consequences for accounting," ERIM Report Series Research in Management ERS-2020-005-FA, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    4. Golyagina, Alena, 2020. "Competing logics in university accounting education in post-revolutionary Russia," CRITICAL PERSPECTIVES ON ACCOUNTING, Elsevier, vol. 69(C).
    5. Sugahara, Satoshi & Cilloni, Andrea, 2021. "Mediation effect of students’ perception of accounting on the relationship between game-based learning and learning approaches," Journal of Accounting Education, Elsevier, vol. 56(C).
    6. Braun Eduard, 2019. "The Ecological Rationality of Historical Costs and Conservatism," Accounting, Economics, and Law: A Convivium, De Gruyter, vol. 9(1), pages 1-30, March.
    7. Golyagina, Alena & Valuckas, Danielius, 2020. "Boundary-work in management accounting: The case of hybrid professionalism," The British Accounting Review, Elsevier, vol. 52(2).
    8. Ericka Costa & Tommaso Ramus, 2012. "The Italian Economia Aziendale and Catholic Social Teaching: How to Apply the Common Good Principle at the Managerial Level," Journal of Business Ethics, Springer, vol. 106(1), pages 103-116, March.
    9. Pilkington, Marc, 2022. "The London Whale Scandal under new Scrutiny," International Review of Financial Analysis, Elsevier, vol. 80(C).
    10. Apostolou, Barbara & Dorminey, Jack W. & Hassell, John M. & Rebele, James E., 2015. "Accounting education literature review (2013–2014)," Journal of Accounting Education, Elsevier, vol. 33(2), pages 69-127.
    11. Mikhail Kuter & Marina Gurskaya & Ripsime Bagdasaryan, 2019. "The correction of double entry bookkeeping errors in the late 14th century," CONTABILIT? E CULTURA AZIENDALE, FrancoAngeli Editore, vol. 0(1), pages 7-30.
    12. Sidorova, Marina & Nazarov, Dmitry & Listopad, Ekaterina, 2022. "The impact of ideology on the institutionalization of correspondence accounting education in Soviet Russia (1929–1939)," Journal of Accounting Education, Elsevier, vol. 58(C).
    13. Sangster, Alan & Franklin, Ellie & Alwis, Dee & Abdul-Rahim, Jo & Stoner, Greg, 2014. "Using Pacioli’s pedagogy and medieval text in today’s introductory accounting course," Journal of Accounting Education, Elsevier, vol. 32(1), pages 16-35.
    14. Frederico Botafogo, 2019. "The Syntax of the Accounting Language: A First Step," Papers 1906.10865, arXiv.org.
    15. Kim, Oksana, 2016. "The IFRS Adoption Reform through the Lens of Neoinstitutionalism: The Case of the Russian Federation," The International Journal of Accounting, Elsevier, vol. 51(3), pages 345-362.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:accted:v:25:y:2016:i:4:p:396-413. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAED20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.