Understanding the Integral Concept

Many students do not have a deep understanding of the integral concept. This resource addresses a number of challenges when introducing the integral: 1) choosing an appropriate, intuitive context which gives meaning to the symbols in the integral expression; 2) aiding the transfer of the integral expression to different contexts via using the Riemann sum in an informal way so that students can see and interpret the rectangles which are inherent in this sum; and 3) the gradual formalizing of the Riemann sum and its linkage with the Fundamental Theorem of Calculus.