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The purposes of this research are to develop the learning instruction and know how the Old Babylonian Geometric Method: Naïve Geometry can support students’ understanding about the concept of solving quadratic equations. We focused on how students linking the Babylonian Geometric method with the solving of the quadratic equation especially on how student bring their geometric solution into algebraic form. This research was conducted in SMP Negeri 1 Palembang, Indonesia. Design research was chosen as the method used in this research. The instructional activities designed to achieve the learning objectives in this research consists of several activities, namely 1) manipulating geometric form to solve the problem, 2) Using the Babilonia geometric method to solve the problem, 3) Linking geometric problems to algebra, and finding common formulas to solve quadratic equations. Through these activities, showed that by manipulating and reshaping a rectangle into a square, students acquire the idea of solving quadratic equations using algebraic completing perfect square method. Although, our important finding is that only students who have high mathematics ability who reach the learning objective until the last stage of activity, which is to reinvent the common algebraic formula in solving the quadratic equation.

Quadratic Equation, Local Instruction Theory, Babylonian Approach