interpolation polynomial approximation for the optimal teaching of employing educational technologies in traditional education of mathematics

Objective: in this paper, after having examined the concept of learning, we analyzed mathematics education using educational applications.methods: first, the stages of learning introduced. next, learning stages are considered for the two modes of traditional method of mathematics education and using technology in the traditional education. these two methods were employed for different educational classes in some high schools of karaj city.  the data acquired were analyzed using data envelopment analysis.results: the inputs are traditional mathematics education and education through employing technology. the output is the four learning stages, which is also the second phase input. learning is the output of the second phase.conclusions: we achieved an optimal ratio of using both methods in an educational class. finally, we achieved an optimal ratio of employing both methods in a course and we find the internal polynomial.