Re: What constitutes mathematical maturity?
- From: "mikeh106@xxxxxxxxxxx" <mikeh106@xxxxxxxxxxx>
- Date: 29 Jan 2006 17:45:05 -0800
Karl M. Bunday wrote:
> As a learner transitions from secondary mathematics courses like algebra and
> easy Euclidean geometry to more difficult mathematical topics, how does the
> learner develop "mathematical maturity"? I am a coach of a homeschoolers math
> team, homeschooling parent of four children, and teacher in a supplemental
> afterschool class on mathematics for gifted students in a nearby public school
> district. Some of my students are going beyond my own level in mathematics, and
> I want to make sure they go in the right direction as they find other teachers
> and self-teaching resources.
>
> What are some of the hallmarks of mathematical maturity? What are some of the
> signs when it is lacking in learners? What do you recommend for developing
> mathematical maturity? How much does age matter? Can a younger learner be much
> more mathematically mature than an older learner and, if so, how?
I think this is an interesting question.
In my opinion, mathematical maturity is the mastery of formal logic and
the understanding of what constitutes a mathematical proof. I suppose
one could also define it as the ability to follow a typical textbook
proof.
.
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