Abstract / Synopsis
I discuss the role of intuitive explanations in the learning, teaching, and popularization of mathematics. Several examples of such explanations are presented, related to linguistic explanations, perception, empirical models, and internal explanations inside mathematics itself. I emphasize the fact that intuitive explanations in a sense transgress mere mathematical arguments. I also discuss in brief the role of paradox resolution in mathematical education.
DOI
10.5642/jhummath.KAQJ2845
Recommended Citation
Jerzy Pogonowski, "Intuitive Explanations in Mathematical Education," Journal of Humanistic Mathematics, Volume 14 Issue 2 (July 2024), pages 423-450. DOI: 10.5642/jhummath.KAQJ2845. Available at: https://scholarship.claremont.edu/jhm/vol14/iss2/13