Psikhologicheskie Issledovaniya • ISSN 2075-7999
peer-reviewed • open access journal


Permogorskiy M.S., Poddiakov A.N. Understanding of intransitivity of superiority, and design of teaching-learning “nontransitive” materials and problems

Full text in Russian: Пермогорский М.С., Поддьяков А.Н. Понимание нетранзитивности превосходства и разработка учебных «нетранзитивных» материалов и задач
Higher School of Economics, Moscow, Russia
Center of Educational System Forecasting and Project Planning, Federal Institute of Development of Education, Moscow, Russia

About authors
Suggested citation

Understanding of transitivity-intransitivity of superiority and mastery of these relations are considered. It is proved that the use of transitivity of superiority principle (if A>B and B>C then A>C) as an axiom in teaching and the use of teaching/learning materials and situations that are subject to this principle can lead to learners’ false beliefs about its universality and false conclusions about superiority in situations of comparisons of the objects being in intransitive (“rock-paper-scissors”) relations. Asymmetry of “transitive” and “intransitive” learning materials and problems in this area is noted. “Intransitive” learning materials, objects, and problems meant for compensation of this asymmetry are described.

Keywords: transitivity-intransitivity of superiority relations, teaching/learning, task design, problem solving


The study was implemented in the framework of the Basic Research Program at the National Research University Higher School of Economics (HSE) in 2014.


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Received 15 May 2014. Date of publication: 31 October 2014.

About authors

Permogorskiy Mikhail S. Master of psychology, postgraduate student, Scientific-Educational Laboratory for Cognitive Research, Higher School of Economics (National Research University), ul. Miasnitskaya, 20, 101990 Moscow, Russia.
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Poddiakov Alexander NPh.D., Professor, Department of psychology, National Research University Higher School of Economics, Miasnitskaya ul. 20, 101000 Moscow, Russia;
Principal Research Associate, Federal Institute of Development of Education, Moscow, Russia
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Suggested citation

Permogorskiy M.S., Poddiakov A.N. Understanding of intransitivity of superiority, and design of teaching-learning “nontransitive” materials and problems. Psikhologicheskie Issledovaniya, 2014, Vol. 7, No. 37, p. 3. (in Russian, abstr. in English).

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