Math modeling is currently at the focus of educational methodologists' attention. However, little is known about the extent to which principles of the math modeling lead to methodological fallacies in educational research. The main purpose of this paper is to explore the nature and principles of math modeling and to examine its application in educational research according to transcendental realism theory. The conclusion of the article suggests some methodological fallacies in educational research. Finally, the implications of the fallacies in educational research are considered.