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Graphs and Graphing function are crucial aspects of understanding, yet this is troublesome to students. This research paper offers a quiet distinct way of thinking to help ease such difficulty. It focuses on analyzing, connecting silent features of functions with the improvement of graphing skills and concepts of concavities, and increasing and decreasing phenomena. Two methods were explored, examined and discussed, namely arithmetic silent feature and reasoning, and asymptotic silent feature and reasoning. Data collected through interviews and observation were qualitatively analyzed. The impact of learning such methods on enhancing graphing skills and on understanding concavity was remarkable. Students enthusiastic involvement, and use of basic skills and previous knowledge helped them in the process of assimilating and accommodating concepts that werepreviously procedurally learned. So, their graphing skills were significantly enhanced.

Graphing functions , creative method for graphing , Arithmetic silent features , asymptotic silent feature of functions.

2020

دراسات العلوم التربويه

دراسات العلوم التربويه