The Equality and Its Challenges from Preschool to Undergraduate

Late Dr. Gholam Hossein Mosahab, the honor of mathematics of Iran, has expressed that the primary pillar for any mathematical system is a kind of “equality” relation defined on that system applying this relation we can distinguish whether the objects in this system are distinct or not? The concept of equality is formed in the child’s mind since he starts to compare and correspond between two groups of the objects, one to one. This concept gradually improves by increasing information and child’s cognitive growth. In this way, sometimes there are challenges and paradoxes getting to know them, can be so useful for going through this way. This paper is the result of a library research and author’s educational experiences and it has been tried to investigate the most popular challenges of equality from preschool to undergraduate. This paper is the result of a library research and author’s educational experiences and it has been tried to investigate the most popular challenges of equality from preschool to undergraduate.