Literaturnachweis - Detailanzeige
| Autor/inn/en | Valahas, Theodoros; Boukas, Andreas |
|---|---|
| Titel | On Vieta's Formulas and the Determination of a Set of Positive Integers by Their Sum and Product |
| Quelle | In: Australian Senior Mathematics Journal, 25 (2011) 2, S.55-62 (8 Seiten)
PDF als Volltext |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0819-4564 |
| Schlagwörter | Algebra; French; Mathematics Instruction; Mathematics Activities; Secondary School Students; Grade 9; Grade 10; Equations (Mathematics); Numbers; Graphs; Mathematics Education; Secondary School Mathematics |
| Abstract | In Years 9 and 10 of secondary schooling students are typically introduced to quadratic expressions and functions and related modelling, algebra, and graphing. This includes work on the expansion and factorisation of quadratic expressions (typically with integer values of coefficients), graphing quadratic functions, finding the roots of quadratic equations and relating these to horizontal axis intercepts of corresponding graphs. Classroom experience suggests that students find Vieta's formulas named after the French mathematician Franciscus Vieta (in French, Francois Viete; 1540-1603), to be a very appealing way of finding the roots x[subscript 1], x[subscript 2] of a quadratic equation ax[superscript 2] + bx + c with real coefficients a [not equal to] 0, b and c and nonnegative discriminant. That is particularly true when the roots x[subscript 1] and x[subscript 2] are positive integers. In this article, the author focuses on Vieta's formulas and the determination of a set of positive integers by their sum and product. (Contains 3 tables and 4 figures.) (ERIC). |
| Anmerkungen | Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2021/2/06 |
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