“…This average speed fallacy, along with both the AFEF and the MPG illusion, relates to a basic tendency to treat nonlinear relationships as linear. Various studies have shown this "illusion of linearity" to exist in a range of situations demanding relational estimates, including population growth, the heating and cooling of objects, and others (Confrey & Smith, 1995;De Bock, Van Dooren, Janssens, & Verschaffel, 2002;De Bock, Verschaffel, & Janssens, 1998;Dutt & Gonzalez, 2013;Freudenthal, 1983;Van Dooren, De Bock, Depaepe, Janssens, & Verschaffel, 2003;Van Dooren, De Bock, Hessels, Janssens, & Verschaffel, 2004). As Freudenthal has noted, "Linearity is such a suggestive property of relations that one readily yields to the seduction to deal with each numerical relation as though it were linear" (Freudenthal, 1983, p. 267).…”