Perspectives of the Instructional Study in an Introductory Calculus Conception of a Limit : Focusing on the Model Invented by C. Nagle

The purpose of this study is to get a viewpoint in an introductory calculus conception of a limit. This study focuses on the reviews based on Formalizing Introductory Notions invented by Nagle（2013） of limit conceptualizations promoted in introductory calculus. From these reviews, three important findings of instructional design were indicated. First, the construction of a dynamic introductory calculus conception of a limit led to a perspective of instructional design. Second, students’ reasoning were encouraged to construct the dynamic introductory calculus conception of a limit. Third, including pedagogical activities promoted students’ reasoning in the dynamic introductory calculus conception of a limit