The Solution of Quadratic Equations

Abstract

There are four methods which are normally taught in schools for solving quadratic equations:(i) By factorisation.(ii) By the use of graphs.(iii) By completing the square.(iv) By the use of the formula.

Lise Öğrencilerinin İkinci Dereceden Denklemleri Çözme Başarıları

“…They also transmitted the letters or numbers to the other part of equality wrongly and obtained incorrect signs. Snell (1958) emphasize that the rule of changing the signs of numbers while replacing in equation can easily lead to mistakes. The researches of Norasiah (2002), Roslina (1997) and Parish and Ludwig (1994) support this finding as well.…”

“…Students see this method more challenging than factorization and using quadratic formula (Makgakga, 2016). However, according to Snell (1958) since the integration of this method into lessons is essential for mathematics in higher levels, it should be learned in elementary course. The method of completing the square provides the algebraic manipulation of a quadratic equation for rendering it more suitable form.…”

“…Öğrenciler harfleri ya da sayıları eşitliğin diğer tarafına taşırken hatalar yapmakta ve işaretleri yanlış bulmaktadır. Snell (1958) sayıların denklemde yerini değiştirirken işaret değiştirme kuralının kolayca hatalara neden olabileceğini ifade etmiştir. Öğrencilerin ifadeleri sadeleştirmede, uygun çarpanları bulmada, hesap yapmada ve kuralları hatırlamada çeşitli hatalar yaptıkları görülmüştür (Norasiah, 2002;Roslina, 1997;Parish & Ludwig, 1994).…”