Two aims were in this study. First was to apply the theoretical framework of the uses of parentheses to develop the experimental curriculum via the constructive approach and examine whether that improved children's cognitive development of relevant property uses in the concept of parentheses. Another was to explore the interaction process between the teacher and students to examine whether the constructive approach clarify children's conception of parentheses use in comparison with the control group. The qualitative and quantitative research methodologies were both applied. In the qualitative approach, I used the videotape analysis and, in the quantitative methodology, the row and column model was implemented. Participants were from one of the primary schools in Taipei County. The results indicated that students' conceptions of parentheses were improved, and their progress may closely correlate to the design of the curriculum. These student's learning process can be referenced by in-service and pre-service elementary teachers.