Absolute value equations ¿ what can we learn from their graphical representation?

• Autores: Moshe Stupel, David Ben-Chaim
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 45, Nº. 6, 2014, págs. 923-928
• Idioma: inglés
• DOI: 10.1080/0020739x.2014.884646
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• Resumen

  • Understanding graphical representations of algebraic equations, particularly graphical representations of absolute value equations, significantly improves students’ mathematical comprehension and ignites within them an appreciation of the beauty and aesthetics of mathematics. In this paper, we focus on absolute value equations of linear and quadratic expressions, by examining various cases, presenting different methods of solving them by graphical representation, exhibiting the advantage of using dynamic software such as GeoGebra in solving them, and illustrating some examples of interesting graphical solutions. We recommend that teachers take advantage of the rapid development in technology to help learners tangibly visualize the solutions of absolute value equations before proceeding to the analytical solutions.