Full Article: PDF
Scientific Object Identifier: http://soi.org/1.1/TAS0811224
DOI: https://dx.doi.org/10.15863/TAS.2022.08.112.24
Language: English
Citation: Miniakhmetov, A. A., & Khamzina, E. A. (2022). Analytical and computer approaches to solving quadratic equations in a rural general education school (for example Askino secondary school №1 Republic of Bashkortostan). ISJ Theoretical & Applied Science, 08 (112), 271277. Soi: http://soi.org/1.1/TAS0811224 Doi: https://dx.doi.org/10.15863/TAS.2022.08.112.24 
Pages: 271277
Published: 30.08.2022
Abstract: A detailed analysis of the topic "Quadratics Equations" of author's algebra textbooks for a high school course was carried out. All mathematical concepts related to the further preparation of 9th grade graduates for the final exam in the subject "Algebra" are considered in detail. Methods and techniques for solving quadratic equations are given, including wellknown transformation formulas. Students are offered various options for solving quadratic equations, including Vieta's theorem. For the possible solution of quadratic equations of any degree of complexity within the general education school, a universal program has been developed in the programming language Pascal.ABC.NET. A computer experiment was carried out to find the roots of a quadratic equation using known coefficients and the formula for finding the discriminant. The program allows students to get acquainted with the listing and launch protocols. As a result, when preparing for the final exam in algebra, graduates of rural general education schools can apply not only analytical, but also computerbased approaches.
Key words: equation, middle school, algebra, mathematics, rural school, basic state exam, quadratic equation, discriminant, Vieta’s theorem, Pascal programming language, biquadratic equation, PascalABC, algorithmization, programming, education.
