Wolfram-Technologies in the Implementation of the Principle of Visibility in Teaching Mathematical Disciplines at the Higher School of Economics-Reference-Cited by-同舟云学术

Wolfram-Technologies in the Implementation of the Principle of Visibility in Teaching Mathematical Disciplines at the Higher School of Economics

Published:2021-04-21 Issue:1 Volume:10 Page:34-41
ISSN:2306-1731
Container-title:Scientific Research and Development. Socio-Humanitarian Research and Technology
language:en
Short-container-title:

Author:

Tatarnikov O.¹,Vlasov Dmitriy¹,Sinchukov Aleksandr¹

Affiliation:

1. Plekhanov Russian University of Economics

Abstract

The article focuses on the substantive and methodological features of the implementation of the principle of clarity by means of Wolfram technologies. The need and methodological feasibility of applying Wolfram technologies in the practice of teaching mathematical disciplines at an economic university is justified. Special attention is paid to the management of educational and cognitive activities of students when working with the created base of visualizations of mathematical concepts and objects, as well as the results of economic and mathematical modeling. Recommendations are presented for teachers of mathematical disciplines, compliance with which contributes to a deeper penetration of undergraduate students into the essence of mathematical methods and a meaningful interpretation of the results obtained on their basis. Disassembled and methodically characterized visualizations affect educational situations that arise when studying various mathematical disciplines: Linear Algebra, Higher Mathematics, Probability Theory and Mathematical Statistics, Theory of Optimal Control, Game Theory, etc. Among them is the visualization of the probability of a random variable falling into the interval under the condition of a normal distribution of a random variable, as well as under the condition that a random variable has a Weibul distribution; visualization of probability density of hypergeometric distribution; visualization of a fragment of a function graph on a period length segment; visualization of parallelogram rule for addition of two vectors in three-dimensional space; visualization of the direction field and integral curves when solving the ordinary differential equation of the first order; visualization of the direction field when solving a system of linear differential equations of the first order. The main results of the study of the new instrumental implementation of the classical didactic principle of clarity described in this article can be useful for improving the professional training system of the future bachelor of economics, as well as for designing the content of new professionally significant disciplines in the educational field «Mathematics and mathematical modeling».

Publisher

Infra-M Academic Publishing House

Reference27 articles.

1. Абакумова И. В., Мироненкова Н. Н., Пеньков Д. В. Смыслотехники, обращенные к субъектному опыту обучающегося как основе его ценностно-смыслового выбора на примере математики // Российский психологический журнал. – 2019. – Т. 16. – № 2. – С. 63-80., Abakumova I. V., Mironenkova N. N., Pen'kov D. V. Smyslotehniki, obraschennye k sub'ektnomu opytu obuchayuschegosya kak osnove ego cennostno-smyslovogo vybora na primere matematiki // Rossiyskiy psihologicheskiy zhurnal. – 2019. – T. 16. – № 2. – S. 63-80.

2. Асланов Р. М., Беляева Е. В., Муханов С. А. Тренажер по дифференциальным уравнениям на основе Wolfram CDF Player // Сибирский педагогический журнал. – 2015. – № 4. – С. 26-30., Aslanov R. M., Belyaeva E. V., Muhanov S. A. Trenazher po differencial'nym uravneniyam na osnove Wolfram CDF Player // Sibirskiy pedagogicheskiy zhurnal. – 2015. – № 4. – S. 26-30.

3. Вербицкий А. А. Теория и технологии контекстного образования: учебное пособие / А. А. Вербицкий; Министерство образования и науки Российской Федерации, Федеральное государственное бюджетное образовательное учреждение высшего образования «Московский педагогический государственный университет». – Москва: МПГУ, – 2017. – 266 с., Verbickiy A. A. Teoriya i tehnologii kontekstnogo obrazovaniya: uchebnoe posobie / A. A. Verbickiy; Ministerstvo obrazovaniya i nauki Rossiyskoy Federacii, Federal'noe gosudarstvennoe byudzhetnoe obrazovatel'noe uchrezhdenie vysshego obrazovaniya «Moskovskiy pedagogicheskiy gosudarstvennyy universitet». – Moskva: MPGU, – 2017. – 266 s.

4. Власов Д. А., Синчуков А. В. Равновесие Нэша в биматричных играх: технология моделирования и визуализации Wolfram Demonstration Project // Современные информационные технологии и ИТ-образование. – 2016. – Т. 12. – № 4. – С. 209-216., Vlasov D. A., Sinchukov A. V. Ravnovesie Nesha v bimatrichnyh igrah: tehnologiya modelirovaniya i vizualizacii Wolfram Demonstration Project // Sovremennye informacionnye tehnologii i IT-obrazovanie. – 2016. – T. 12. – № 4. – S. 209-216.

5. Денежкина И. Е., Зададаев С. А. Проверка статистических гипотез с использованием средств визуализации в среде Rstudio / В сборнике: Системный анализ в экономике – 2018. Сборник трудов V Международной научно-практической конференции-биеннале. Под общей редакцией Г.Б. Клейнера, С.Е. Щепетовой. – 2018. – С. 181-184., Denezhkina I. E., Zadadaev S. A. Proverka statisticheskih gipotez s ispol'zovaniem sredstv vizualizacii v srede Rstudio / V sbornike: Sistemnyy analiz v ekonomike – 2018. Sbornik trudov V Mezhdunarodnoy nauchno-prakticheskoy konferencii-biennale. Pod obschey redakciey G.B. Kleynera, S.E. Schepetovoy. – 2018. – S. 181-184.