en روان شناسی تربیتی Educational Psychology پژوهشي Original <div style="text-align: justify;"><span style="color:#3300ff;"><span style="font-size:14px;"><span style="font-family:Times New Roman;"><span style="line-height:2;"><b>Objective</b>: In this paper, after having examined the concept of learning, we analyzed mathematics education using educational applications.<br> <b>Methods</b>: 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.&nbsp; The data acquired were analyzed using data envelopment analysis.<br> <b>Results</b>: 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.<br> <b>Conclusions</b>: 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.</span></span></span></span></div> Learning, incompetence, Competence, Consciously, Unconsciously, Traditional mathematics, Educational technology, Data envelopment analysis 179 198 http://ieepj.hormozgan.ac.ir/browse.php?a_code=A-10-706-1&slc_lang=en&sid=1 Kamal Nozad Knozad61@gmail.com 10031947532846009846 10031947532846009846 No Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran Mohsen Rostamy-Malkhalifeh mrostamy@srbiau.ac.ir 10031947532846009847 10031947532846009847 Yes Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran Mohammad Maghasedi maghasedi@kiau.ac.ir 10031947532846009848 10031947532846009848 No Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran Hamid Rasouli hrasouli@srbiau.ac.ir 10031947532846009849 10031947532846009849 No Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran