How to change the Traditional Mathematics Teaching from the Memorization-Based Method to Interactive-Based Method

During my Calculus II teaching in Fall 2015 at Washington State University (WSU), several students told me that “Volumelogo post 4s” is one of the most difficult topics in Calculus II, and they also told me “it is difficult to apply what we learned from the course’s textbook to find the volume of solid correctly without getting at least some minor mistakes”. I told them: “I will show you that “Volumes” is the easiest topic in Calculus II by changing the method of “Volumes” teaching form traditional (memorization) one to modern (interactive) one”. A good math teacher is the one who can listen to students’ concerns and apply whatever possible to help them understand the material in an interactive and interesting way. The following is one example out of many examples that I do in my Calculus II class to help my students understand the course’s material in interactive way using real-life applications:






In conclusion, if we apply real-life examples to our courses’ materials as I did in this example, then we can create an interactive-based math class.

To see more examples like this and other interactive methods, please see my course webpage.  Best of luck and feel free to reach out if you have questions!


Kaabar, M. K. A. (2012). Mohammed Kaabar Website, Available at

About Mohammed Kaabar

Mohammed Kaabar is a math faculty member (professor) at Riverside Community College District. He is the author of (A Friendly Introduction to Differential Equations) and (A First Course in Linear Algebra) Books, and his research interests are numerical analysis, differential equations, linear algebra, and real analysis. He is an invited Technical Program Committee (TPC) member in many conferences such as ICECCS 14, ENCINS 15, eQeSS 15, SSCC 15, ICSoEB 15, CCA 14, WSMEAP 14, EECSI 14, JIEEEC 13 and WCEEENG 12. He is a former editor for the American Mathematical Society (AMS) Blog, and he is also a certified peer reviewer and member of the math editorial board at Multimedia Educational Resource for Learning and Online Teaching (MERLOT) which is a program of the California State University System partnering with education institutions, professional societies, and industry.
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