Abstract
Graph theory is mathematics strands. It is a interesting subject matter. Our claim is that this subject can serve as a tool for learning mathematical processes .Notional council of teachers on mathematics of America (NCTM) proposed five standards that students should learn in K-12. In this paper we showed how can use Graph theory to teach three standards of NCTM. It is a suitable context to teach problem solving and there is good connection between Graph theory and other science. Finally it can be used for representing models and physical situations.
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