Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-03-83-35
DOI: https://dx.doi.org/10.15863/TAS.2020.03.83.35
Language: Russian
Citation: Kostyuchenko, R. Y. (2020). Exponential equations and their basic types as an element of the content of teaching mathematics in senior high school. ISJ Theoretical & Applied Science, 03 (83), 165-174. Soi: http://s-o-i.org/1.1/TAS-03-83-35 Doi: https://dx.doi.org/10.15863/TAS.2020.03.83.35 |
Pages: 165-174
Published: 30.03.2020
Abstract: Exponential equations are a traditional component of the meaningfully-methodical line of equations, in equations and their systems for a school mathematics course. The method of teaching students’ exponential equations follows the conformities of an actual teaching methods of equations and maps the special aspects of equations of this type. So, from our point of view, the main issues of teaching exponential equations, which is occurred in senior high school, are related to the content component of the methodology, rather than to its other components: target, procedural, subject-personal. Therefore, the article substantiates the denotation of «Exponential equation» in the context of school education. And, since the denotation is revealed through classification, the author provides a tried through practice cleavage of exponential equations into five groups, based on differences in types. The condition used as the basis for division by type is proceeded from the quantities of numbers in the base of the degree that can/cannot be represented as a degree with a rational exponent. All theoretical conclusions are illustrated by appropriate examples.
Key words: Teaching methods of mathematics, teaching mathematics, teaching mathematics in senior high school, transcendental equation, exponential equations, solution of exponential equations, types of exponential equations.
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