the effect of using a proposed teaching method based experiential learning in teaching mathematics to develop actively open-minded thinking and mathematical proficiency among first-grade preparatory students

     The study aimed to identify the effect of using a proposed teaching method based experiential learning in teaching mathematics to develop actively open-minded thinking and mathematical proficiency among first-grade preparatory students. They were divided into two groups: one of them is the experimental group using the proposed teaching model, and the other is the control group using the traditional way. the experimental group consisted of (34 male and female students at the Tenth of Ramadan School), and the control group consisted of (34 male and female students at Al-Siddiq Preparatory School). To achieve the study aim, an actively open-minded thinking scale and a mathematical proficiency were prepared. A proposed teaching model based on experiential learning was designed. The research tools and materials were applied to a group of a group of first-grade preparatory students. The research results showed the effectiveness of the proposed  teaching model based on experiential learning in developing actively open-minded thinking and mathematical proficiency among first-grade preparatory students. This confirmed that there was a statistically significant difference at the level (0.01) between the mean scores of the students of the experimental group and the control group in the post-measurement of the actively open-minded thinking scale and the mathematical proficiency test in favor of the experimental group. As a result, the research recommended the need to train teachers to use proposed teaching models, integrate them with experiential learning, and encourage teachers to develop mathematical proficiency and actively open-minded thinking activity among preparatory school students.