Geodesic
Different ways of solving quadratic equations
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 11 (2019) no. 1, pp. 103-125.

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In this paper we explore different ways of solving quadratic equations. Our main goal is to review traditional textbooks methods and offer an alternative, often side-stepped method based on the area model. We conclude that whereas traditional methods offer effective algorithms that quickly lead to the desired results, alternative methods may enhance meaningful and joyful learning. 
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Pieronkiewicz, Barbara; Tanton, James. Different ways of solving quadratic equations. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 11 (2019) no. 1, pp. 103-125. http://geodesic.mathdoc.fr/item/AUPCDM_2019_11_1_a6/