id: 06606479
dt: j
an: 2016d.00135
au: Rho, Eun Hwan; Kang, Jeong Gi
ti: A study on the understanding of limitations of experiential viewpoints for
9th grade students.
so: J. Korean Soc. Math. Educ., Ser. A, Math. Educ. 54, No. 1, 13-30 (2015).
py: 2015
pu: Korean Society of Mathematical Education (KSME), Seoul
la: KO
cc: C23 D43
ut: viewpoint based on the experiment; viewpoint based on the concept; limit of
experimental method
ci:
li:
ab: Summary: The mathematical object is conceptual. Thus we can not prove the
property of a mathematical object in an experimental viewpoint but in a
conceptual viewpoint. We performed the experiment for 28 middle school
students to investigate whether they understand this. As a result, the
majority of student didn’t recognize the limits of the experimental
method. We had also individual interviews with four students. As
results, one student was exactly recognizing the limits of the
experimental method, but he couldn’t prove it logically. The others
didn’t recognize the limits of the experimental method. They thought
that the proposition was already true regardless of the error. And one
of them even thought that to be equal approximately was the same of to
be equal exactly. Also, one student was confused between the
experimental viewpoint and the conceptual viewpoint. This implies that
it is necessary to help students understand the limits of the
experimental method.
rv: