Students are facing problem in understanding of what they are learning in mathematicsrnlesson. There are a lot of students who are suffering from the conceptual change ofrnmathematics. To conduct the study, a group circulation (discussion ) based on qualitativernmethod Was employed. This pedagogical system is used to develop students' conceptionrntowards polynomial and rational equations and functions.The main objective of this studyrnwas to identify problems associated with conceptual change of students and assessrnconceptual change strategies students use to enhance their mathematics achievement in areasrnof polynomial and rational equations and functions .To do these Qualitative research methodrnwas used employing phenomenology research design where the phenomenon was tracedrnthrough individual effort and group circulation guided by Apos theory. The study collectedrndata from 80 students that were selected from two schools from Addis Ababa. Narrative andrnthematic data analysis was employed to classify the levels and practical conceptual changernstrategies employed by students. From the data analysis the findings from this study include:rnBefore intervention no student reached the higher level-schema. 34.4% of the students werernfound to be at level 3, and similarly 16.9% and 13.8% were found to be at levels 2 and 1rnrespectively and 35% did not respond. But after intervention 25% of the students reached thernhighest level 4, schema. Therefore this study concluded that effective use of conceptualrnchange strategies help students to develop their understanding and achievement. The teachingrnlearning process of mathematics needs serious conceptual change strategies. Thernmathematics subject needs more strategies or methods in order to understand about it. Therndata was analyzed through narration before and after group circulation. The results obtainedrnwere: conceptual change on this title, making students to do problems by their own, goodrnteaching practices and improving ability. In conclusion, students conceptualized differentrnideas of their performance through the level of thinking ( Apos theory).