id: 05645064
dt: j
an: 2009f.00541
au: Kang, Mee Kwang
ti: A study on the instruction of the infinity concept with suitable examples
‒ focused on curriculum of middle school.
so: J. Korea Soc. Math. Educ. Ser. A, Math. Educ. 47, No. 4, 447-465 (2008).
py: 2008
pu: Korean Society of Mathematical Education (KSME), Seoul
la: KO
cc: I33 C33 D43
ut: potential infinity; actual infinity; infinite processes; limits; concept
formation; intuition; student errors; simple continued fraction;
convergence
ci:
li:
ab: Summary: The purpose of this study is to suggest effective teaching methods
on the concept of infinity for students to obtain the right concept in
the middle school curriculum. Many people have thought that infinity is
something vague and unapproachable. But, nowadays it is rather
something with a precise definition that lies at the core of modern
mathematics. To understand mathematics and science very well, it is
necessary to comprehend the concept of infinity. But students tend to
figure out the properties of infinite objects and limit concepts only
through their experience closely related to finite process, and so they
are apt to have their spontaneous intuition and misconception about it.
Since most of them have cognitive obstacles in studying the infinity
concepts and misconception, mathematics teachers need to help them
overcome the obstacles and establish the right secondary intuition for
the concepts through good examples and appropriate explanation. In this
study, we consider the developing process of the concept of infinity in
human history and give some comments and suggestions in teaching
methods relative to that concept with new suitable examples.
rv: