**When students learn through discovery,**

Understanding of the deeper concept behind a mathematical concept is increased.

Students are able to reproduce the rules, formulas, and procedures for themselves without memorizing because they understand where the rules came from.

Students gain confidence in math class. They also become more self-motivated.

Retention of the lesson material increases.

Students get a boost in their problem-solving skills. They gain resilience to stick with a challenge and learn to think it through for themselves. They develop strong critical thinking abilities and become accountable for their own learning.