Mathematical maturity often refers to the mastery of the way mathematicians think, operate and communicate.
It pertains to a mixture of mathematical experience and insight that cannot be directly taught.
), and a general facility of expression in the terse—but crisp and exact—language that mathematicians use to communicate ideas.A broader list of characteristics of mathematical maturity has been given as follows:[4] Finally, mathematical maturity has also been defined as an ability to do the following:[5] It is sometimes said that the development of mathematical maturity requires a deep reflection on the subject matter for a prolonged period of time, along with a guiding spirit which encourages exploration.
Getting stalled in this manner can impact the student's ability to read mathematical papers.
Students generally attain this phase towards their later graduate years, when they have typically begun reading mathematical research papers.