Abstract
In the current curriculum, The result of the fundamental theorem of calculus, F(b)-F(a) is presented as the definition of definite integral. This definition of definite integral was proposed by Lacroix in the lately 18th century and was used in various calculus textbooks in the first half of the 20th century. In this study, I analyzed the relationship between the differential and the integral calculus, searched the mathematical meaning of the definition of the Lcaroix-style definition of the definite integral, and surveyed the integral calculus chapters of calculus textbooks that adopted such definition. Based on these discussions, I proposed some suggestions to improve the teaching of the integral calculus.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: The Korean Society of Educational Studies in Mathematics - School Mathematics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
