نوع مقاله : علمی- پژوهشی
1 استادیار گروه ریاضی دانشگاه تربیت دبیر شهید رجایی
2 دانشجوی کارشناسی ارشد آموزش ریاضی دانشگاه تربیت دبیر شهید رجایی
عنوان مقاله [English]
This research aimed to improve students’ learning about the first order equation based on their misconceptions on this topic. A test consists of 45 questions was designed according to the goal-content’s table concerning Bloom’s taxonomy. Then it was run on 30 students in the first year of high school in Pakdasht city. By using difficulty coefficient, distinction coefficientand internal consistencycoefficients, 26 questions (α=0.872) remained that showed questions have reliability and compliance with instructional objectives. With cluster sampling 127 students were selected and participated in the final test. Then by analyzing the results a learning empirical model was developed. Data analysis with using structural equations modeling showed that the total effect of the ‘equation identifying’ on ‘equation solving’ and ‘equations equivalence’ is t= 2.439 and t=2.307, respectively (p<0.05). The ‘equation identifying’ enhances the components ‘equation solving’ and ‘equations equivalence’ in the learner. The total effect of the ‘equation identifying’ and ‘equation solving’ on forming knowledge of ‘application’ is t=2.600 and t=3.215, respectively (p<0.01). Therefore, these two components assist students in learning application of this subject.