Introduction
Introduction Statistics Contact Development Disclaimer Help
ERIC ED247146: Forms of Understanding in Mathematical Problem Solving.
by ERIC
Thumbnail
Download
Web page
In the research described in this document, the goal was
to develop definite theoretical characterizations of
understanding in a specific domain of problems. Some
performance that provides persuasive evidence of
understanding was chosen, and hypotheses about cognitive
structures and processes that cause the performance to
occur were developed. Performance was analyzed on two
tasks in high school geometry, developing proofs and
checking proofs. For developing proofs, thinking-aloud
protocols were obtained from six students who were
interviewed approximately once a week during the year
they studied geometry. Proof-checking problems were given
to 15 different students during interviews in November
and May, and a group of 15 college students also were
given instruction on proof checking to ascertain whether
it could be acquired. Two characterizations of knowledge
that can be adopted as objectives of instruction
resulted, one on structural understanding and one in
understanding the principle of deductive consequence.
(MNS)
Date Published: 2015-01-09 01:59:49
Identifier: ERIC_ED247146
Item Size: 33182426
Language: english
Media Type: texts
# Topics
ERIC Archive; Cognitive Processes; Ed...
# Collections
ericarchive
additional_collections
# Uploaded by
@chris85
# Similar Items
View similar items
PHAROS
You are viewing proxied material from tilde.pink. The copyright of proxied material belongs to its original authors. Any comments or complaints in relation to proxied material should be directed to the original authors of the content concerned. Please see the disclaimer for more details.